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https://en.wikipedia.org/wiki/Track%20%28moving%20medium%29
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A track is a path on a recording medium. There are some variations in nomenclature; for some media a track is a logical (content based) path and for others it is based on the geometry of the medium.
The term is not used for punched cards.
Content-based tracks
The terms session, title or track may be used, depending on the medium.
LP
A track on a long playing record (LP) is a segment of the spiral groove recording a single movement, song or other work.
Usually, unrecorded sections of the groove guide the tone arm between consecutive tracks. However occasionally - for example on some language learning records - the tracks are not connected, and the tone arm must be moved manually to the next track's lead-in groove.
Optical disks
A track, session or title on an audiovideo optical disk is a segment recording a single movement, song or other work.
Geometry-based tracks
On some devices a track is defined based on the geometry of the medium, typically running for the full length or circumference.
Linear
On magnetic cards, magnetic strips and tape, tracks normally run the full length of the medium. Some devices record multiple tracks in parallel either to improve speed or to provide separate channels for, e.g., stereophonic sound.
Punched tape
On Punched tape, also known as paper tape, a track runs the length of the tape and all tracks are recorded in parallel. References to the number of tracks sometimes use the word channel or level. Five level tape is used for Baudot, eight-level for ASCII and twelve level for carriage control tapes.
Magnetic tape reels and cartridges
On analog audio tape, a track runs the length of the tape and typically contains a single channel; stereophonic and quadraphonic recording use multiple tracks.
On digital tape, a track runs the length of the tape; typically all tracks are written and read in parallel.
Magnetic cards and strips
On magnetic cards and magnetic strips used as storage media, a track runs the length of the card or strip; typically multiple tracks are written and read in parallel and considered to be a single logical track.
The NCR CRAM, RCA Model 3488 Random Access Computer Equipment and RCA 70/568-11 Mass Storage Unitused magnetic cards in a magazine (deck for CRAM).inch).
The IBM 2321 Data Cell used magnetic strips in a cell and subcell. The tracks had variable length count key data (CKD) records.
Magnetic stripe cards
Magnetic stripe cards are commonly used as credit cards, identity cards, and transportation tickets. Standardized cards contain up to three parallel tracks. Unusually, two different recording densities are used (210 and 75 bits per
Helical scan
On some videotape and magnetic tape media, a read/write head moves across the width of the tape while the tape is moving, providing a diagonal Helical scan. An example is the IBM 3850 Mass Storage System (MSS).
Rotating
A track on a rotating magnetic disk or drum normally runs for the circumference of the medium. All tracks o
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https://en.wikipedia.org/wiki/Huldah%20Bancroft
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Huldah Bancroft (died September 25, 1966) was an American biostatistician at Tulane University, known for her textbook on biostatistics and for her research on tropical infectious diseases including typhoid fever and leprosy.
Education and career
Bancroft graduated from the University of Michigan in 1915; she earned a master's degree at Columbia University and, in 1944, a Ph.D. from Case Western Reserve University, where she had been working as an assistant professor of biometrics. In 1947 she moved from Case to Tulane University, where she was appointed as an associate professor in the newly founded Department of Tropical Diseases and Public Health. By 1961 she had retired.
Book
She published her book Introduction to Biostatistics with Harper & Row in 1957. A second edition, revised by Johannes Ipsen and Polly Feigl, was published as Bancroft's Introduction to Biostatistics in 1971.
References
Year of birth missing
1966 deaths
American women statisticians
University of Michigan alumni
Columbia University alumni
Case Western Reserve University alumni
Case Western Reserve University faculty
Tulane University faculty
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https://en.wikipedia.org/wiki/%C3%89anna%20Murphy%20%28Galway%20hurler%29
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Éanna Murphy (born 1998) is an Irish hurler who plays as a goalkeeper for club side Tommy Larkin's and at inter-county level with the Galway senior hurling team.
Career statistics
Honours
Tommy Larkin
Galway Under-21 B Hurling Championship (1): 2019
Galway
Leinster Under-21 Hurling Championship (1): 2018
References
1998 births
Living people
Tommy Larkin's hurlers
Galway inter-county hurlers
Hurling goalkeepers
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https://en.wikipedia.org/wiki/Argentina%20national%20football%20team%20results%20%281980%E2%80%931999%29
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This page details the match results and statistics of the Argentina national football team from 1980 to 1999.
Key
Key to matches
Att.=Match attendance
(H)=Home ground
(A)=Away ground
(N)=Neutral ground
Key to record by opponent
Pld=Games played
W=Games won
D=Games drawn
L=Games lost
GF=Goals for
GA=Goals against
Results
Argentina's score is shown first in each case.
Notes
Record by opponent
References
Argentina national football team results
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https://en.wikipedia.org/wiki/Sora%20Kobori
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is a Japanese footballer currently playing as a forward for Tochigi SC.
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Japanese men's footballers
Men's association football forwards
J2 League players
Tochigi SC players
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https://en.wikipedia.org/wiki/Yoshiki%20Sato
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is a Japanese footballer currently playing as a defender for Giravanz Kitakyushu.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Toin University of Yokohama alumni
Men's association football defenders
J2 League players
Giravanz Kitakyushu players
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https://en.wikipedia.org/wiki/Manato%20Yamada
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is a Japanese footballer currently playing as a midfielder for Matsumoto Yamaga.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Sportspeople from Shiga Prefecture
Association football people from Shiga Prefecture
Japanese men's footballers
Men's association football midfielders
J2 League players
Matsumoto Yamaga FC players
21st-century Japanese people
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https://en.wikipedia.org/wiki/Haruki%20Shimokawa
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is a Japanese footballer currently playing as a forward for Cerezo Osaka U-23.
Career statistics
Club
.
Notes
References
External links
2003 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football forwards
J3 League players
Cerezo Osaka players
Cerezo Osaka U-23 players
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https://en.wikipedia.org/wiki/Kento%20Nakamura%20%28footballer%29
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is a Japanese footballer currently playing as a midfielder for Kagoshima United.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Meiji University alumni
Men's association football midfielders
J3 League players
Kagoshima United FC players
Suzuka Point Getters players
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https://en.wikipedia.org/wiki/Dual%20Steenrod%20algebra
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In algebraic topology, through an algebraic operation (dualization), there is an associated commutative algebra from the noncommutative Steenrod algebras called the dual Steenrod algebra. This dual algebra has a number of surprising benefits, such as being commutative and provided technical tools for computing the Adams spectral sequence in many cases (such as pg 61-62) with much ease.
Definition
Recallpg 59 that the Steenrod algebra (also denoted ) is a graded noncommutative Hopf algebra which is cocommutative, meaning its comultiplication is cocommutative. This implies if we take the dual Hopf algebra, denoted , or just , then this gives a graded-commutative algebra which has a noncommutative comultiplication. We can summarize this duality through dualizing a commutative diagram of the Steenrod's Hopf algebra structure:If we dualize we get mapsgiving the main structure maps for the dual Hopf algebra. It turns out there's a nice structure theorem for the dual Hopf algebra, separated by whether the prime is or odd.
Case of p=2
In this case, the dual Steenrod algebra is a graded commutative polynomial algebra where the degree . Then, the coproduct map is given bysendingwhere .
General case of p > 2
For all other prime numbers, the dual Steenrod algebra is slightly more complex and involves a graded-commutative exterior algebra in addition to a graded-commutative polynomial algebra. If we let denote an exterior algebra over with generators and , then the dual Steenrod algebra has the presentationwhereIn addition, it has the comultiplication defined bywhere again .
Rest of Hopf algebra structure in both cases
The rest of the Hopf algebra structures can be described exactly the same in both cases. There is both a unit map and counit map which are both isomorphisms in degree : these come from the original Steenrod algebra. In addition, there is also a conjugation map defined recursively by the equationsIn addition, we will denote as the kernel of the counit map which is isomorphic to in degrees .
See also
Adams-Novikov spectral sequence
References
Algebraic topology
Hopf algebras
Homological algebra
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https://en.wikipedia.org/wiki/Doubly%20triangular%20number
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In mathematics, the doubly triangular numbers are the numbers that appear within the sequence of triangular numbers, in positions that are also triangular numbers. That is, if denotes the th triangular number, then the doubly triangular numbers are the numbers of the form .
Sequence and formula
The doubly triangular numbers form the sequence
0, 1, 6, 21, 55, 120, 231, 406, 666, 1035, 1540, 2211, ...
The th doubly triangular number is given by the quartic formula
The sums of row sums of Floyd's triangle give the doubly triangular numbers.
Another way of expressing this fact is that the sum of all of the numbers in the first rows of Floyd's triangle is the th doubly triangular number.
In combinatorial enumeration
Doubly triangular numbers arise naturally as numbers of of objects, including pairs where both objects are the same:
An example from mathematical chemistry is given by the numbers of overlap integrals between Slater-type orbitals.
Another example of this phenomenon from combinatorics is that the doubly-triangular numbers count the number of two-edge undirected multigraphs on labeled vertices. In this setting, an edge is an unordered pair of vertices, and a two-edge graph is an unordered pair of edges. The number of possible edges is a triangular number, and the number of pairs of edges (allowing both edges to connect the same two vertices) is a doubly triangular number.
In the same way, the doubly triangular numbers also count the number of distinct ways of coloring the four corners or the four edges of a square with colors, allowing some colors to be unused and counting two colorings as being the same when they differ from each other only by rotation or reflection of the square. The number of choices of colors for any two opposite features of the square is a triangular number, and a coloring of the whole square combines two of these colorings of pairs of opposite features.
When pairs with both objects the same are excluded, a different sequence arises, the tritriangular numbers which are given by the formula .
In numerology
Some numerologists and biblical studies scholars consider it significant that 666, the number of the beast, is a doubly triangular number.
References
Factorial and binomial topics
Integer sequences
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https://en.wikipedia.org/wiki/Argentina%20national%20football%20team%20results%20%282000%E2%80%932019%29
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This page details the match results and statistics of the Argentina national football team from 2000 to 2019.
Key
Key to matches
Att.=Match attendance
(H)=Home ground
(A)=Away ground
(N)=Neutral ground
Key to record by opponent
Pld=Games played
W=Games won
D=Games drawn
L=Games lost
GF=Goals for
GA=Goals against
Results
Argentina's score is shown first in each case.
Notes
Record by opponent
References
Argentina national football team results
2000s in Argentine sport
2010s in Argentine sport
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https://en.wikipedia.org/wiki/Katherine%20E.%20Stange
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Katherine E. Stange is a Canadian-American mathematician and an associate professor of mathematics at the University of Colorado Boulder. She is a number theorist specializing in topics in arithmetic geometry.
Education and career
Stange earned her PhD in mathematics from Brown University in 2008 under the supervision of Joseph H. Silverman. She was a National Science Foundation (NSF) Postdoctoral Fellow and Junior Lecturer at Harvard University from 2008 to 2009. She also held postdoctoral fellowships at Simon Fraser University, Pacific Institute for the Mathematical Sciences, and the University of British Columbia (2009–2011) and Stanford University (2011–2012). In 2012, Stange joined the faculty at the University of Colorado Boulder as an assistant professor. She was promoted to associate professor with indefinite tenure effective August 2018.
Stange has been active in Women in Numbers, the prototype for the Association for Women in Mathematics' Research Collaboration Networks for Women. She was co-organizer and proceedings co-editor of Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop and a project leader for Women in Numbers 4. Stange served on the American Mathematical Society Committee on Women in Mathematics (CoWIM) from 2019–2020.
Recognition
The Mathematical Association of America presented Stange and Lionel Levine the 2013 Paul R. Halmos - Lester R. Ford Award for outstanding paper in The American Mathematical Monthly for their paper How to make the most of a shared meal: plan the last bite first.
Stange was elected a Fellow of the Association for Women in Mathematics in the Class of 2021 "for leadership in the Women in Numbers Network by creating its website (the first of its kind), mentoring early-career researchers, organizing conferences, editing its proceedings volumes, and chairing its steering committee; and for service on AWM committees, including support of other research networks". She was named a 2021 Simons Fellow in Mathematics.
References
External links
Katherine E. Stange's Author Profile on MathSciNet
American women mathematicians
University of Colorado Boulder faculty
Number theorists
Arithmetic geometers
Living people
Fellows of the Association for Women in Mathematics
Year of birth missing (living people)
Canadian mathematicians
21st-century American mathematicians
21st-century Canadian mathematicians
20th-century American mathematicians
20th-century Canadian mathematicians
Brown University alumni
University of Waterloo alumni
20th-century American women
21st-century American women
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https://en.wikipedia.org/wiki/Adams%20resolution
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In mathematics, specifically algebraic topology, there is a resolution analogous to free resolutions of spectra yielding a tool for constructing the Adams spectral sequence. Essentially, the idea is to take a connective spectrum of finite type and iteratively resolve with other spectra that are in the homotopy kernel of a map resolving the cohomology classes in using Eilenberg–MacLane spectra.
This construction can be generalized using a spectrum , such as the Brown–Peterson spectrum , or the complex cobordism spectrum , and is used in the construction of the Adams–Novikov spectral sequencepg 49.
Construction
The mod Adams resolution for a spectrum is a certain "chain-complex" of spectra induced from recursively looking at the fibers of maps into generalized Eilenberg–Maclane spectra giving generators for the cohomology of resolved spectrapg 43. By this, we start by considering the mapwhere is an Eilenberg–Maclane spectrum representing the generators of , so it is of the formwhere indexes a basis of , and the map comes from the properties of Eilenberg–Maclane spectra. Then, we can take the homotopy fiber of this map (which acts as a homotopy kernel) to get a space . Note, we now set and . Then, we can form a commutative diagramwhere the horizontal map is the fiber map. Recursively iterating through this construction yields a commutative diagramgiving the collection . This meansis the homotopy fiber of and comes from the universal properties of the homotopy fiber.
Resolution of cohomology of a spectrum
Now, we can use the Adams resolution to construct a free -resolution of the cohomology of a spectrum . From the Adams resolution, there are short exact sequenceswhich can be strung together to form a long exact sequencegiving a free resolution of as an -module.
E*-Adams resolution
Because there are technical difficulties with studying the cohomology ring in generalpg 280, we restrict to the case of considering the homology coalgebra (of co-operations). Note for the case , is the dual Steenrod algebra. Since is an -comodule, we can form the bigraded groupwhich contains the -page of the Adams–Novikov spectral sequence for satisfying a list of technical conditionspg 50. To get this page, we must construct the -Adams resolutionpg 49, which is somewhat analogous to the cohomological resolution above. We say a diagram of the formwhere the vertical arrows is an -Adams resolution if
is the homotopy fiber of
is a retract of , hence is a monomorphism. By retract, we mean there is a map such that
is a retract of
if , otherwise it is
Although this seems like a long laundry list of properties, they are very important in the construction of the spectral sequence. In addition, the retract properties affect the structure of construction of the -Adams resolution since we no longer need to take a wedge sum of spectra for every generator.
Construction for ring spectra
The construction of the -Adams resolution is rather simple
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https://en.wikipedia.org/wiki/Kristin%20Umland
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Kristin Umland is an American mathematician and mathematics educator. She was on the faculty of the Department of Mathematics & Statistics at University of New Mexico in Albuquerque, New Mexico for nearly two decades before leaving to help build the nonprofit organization Illustrative Mathematics (IM).
Education and career
Umland did undergraduate studies at the University of California at Santa Cruz in Santa Cruz, California. In 1996, she was awarded a Ph.D. in mathematics by the University of Illinois at Chicago. Her dissertation, entitled "The Mod-2 Cohomology of the Lyons Group", was supervised by Stephen D. Smith
In 1996, Umland began teaching in the Department of Mathematics & Statistics at the University of New Mexico (UNM). She joined the tenure stream faculty in 2002 and was later promoted to associate professor. At New Mexico, Umland taught a wide variety of mathematics courses, ranging from intermediate algebra to measure theory, as well as courses in mathematics education. She supervised 3 doctoral dissertations and several master's dissertations. After being invited to visit the Vermont Mathematics Initiative by Dr. Ken Gross, Umland was set out to improve K–12 teaching and learning.
At UNM, Umland built on her Vermont Mathematics Initiative experience to improve children's learning and achievement. She was program director of La Meta, which was a partnership between the university, Central New Mexico Community College and five New Mexico public school districts. After initially offering mid-grade teachers of mathematics a chance to earn mathematics credit, beginning in 2007, mathematics educators, mathematicians, mentors, and content coaches from the partnership visiting mid-grade classrooms.
Umland worked on an National Science Foundation-funded project to evaluate the impact of Math Teachers' Circles on teachers of middle school mathematics. The circles bring together mathematicians and K–12 mathematics teachers. She and her collaborators reported on the effectiveness of these circles, as well as their history, in the Notices of the American Mathematical Society.
Umland left UNM in 2016 to work full time as vice president for content development at Illustrative Mathematics (IM), a nonprofit company she co-founded with William McCallum to develop and deliver mathematics content for K-12 teachers. She became chief product officer in July 2019. In June of 2020, Umland was appointed as president of IM.
Recognition
In 2017, the American Mathematical Society (AMS) recognized Umland with the AMS Award for Impact on the Teaching and Learning of Mathematics. The AMS cited Umland's work to support the "national K–12 mathematics community in the transition to the Common Core State Standards in Mathematics (CCSS-M)". Umland and IM co-founder William McCallum, together with a community of mathematicians, mathematics educators and teachers developed an open, online resource to assist teachers learn about the core standards and the
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https://en.wikipedia.org/wiki/Hortensia%20Soto
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Hortensia Soto is a Mexican–American mathematics educator, and a professor of mathematics at Colorado State University. In May 2018, she was appointed Associate Secretary of the Mathematical Association of America (MAA).
Early life and education
Soto was born in a sod house in , part of the municipality of Teocaltiche in Jalisco, Mexico. Her family moved to a farm near Morrill, Nebraska when she was one year old, and she grew up in Nebraska. Her talent for mathematics was encouraged in elementary school and recognized in high school; already at that age she was called on to act as a substitute mathematics teacher.
She has a bachelor's degree in mathematics and a master's degree in mathematics education from Chadron State College in Nebraska, earned in 1988 and 1989 respectively. She earned a second master's degree in mathematics at the University of Arizona in 1994, and completed Ph.D. in educational mathematics at the University of Northern Colorado in 1996.
Career
Soto worked at the University of Southern Colorado from 1989 to 1992 as director of the Mathematics Learning Center. In 1995, she became an assistant professor of mathematics at the university, earning tenure there as an associate professor in 2001; the university became known as Colorado State University–Pueblo in 2003. In 2005 she moved to the University of Northern Colorado, taking a step down to become an assistant professor again. She was promoted to associate professor in 2008 and to full professor in 2014, before moving to Colorado State University as a professor of mathematics.
At the University of Northern Colorado, Soto founded and directed a summer program for high school girls, Las Chicas de Matemáticas: UNC Math Camp for Young Women, from 2008 to 2014, and returned to rural Nebraska to participate in a teacher education program there, Math in the Middle. She is a fellow of Project NExT, and has been governor of the Rocky Mountain Section of the Mathematical Association of America. She is also a principal investigator of the Embodied Mathematical Imagination & Cognition project.
She has a long association with the MAA and has been increasingly involved with its governance. In May 2018, she took over from Gerald Venama as its Associate Secretary.
Recognition
In 2001, Chadron State College gave Soto their Distinguished Young Alumni Award.
In 2012, the Mathematical Association of America (MAA) gave Soto their Meritorious Service Award. She was the 2016 winner of the Burton W. Jones Distinguished Teaching Award of the Rocky Mountain Section of the MAA, and one of the 2018 winners of the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics.
She is included in a deck of playing cards featuring notable women mathematicians published by the Association of Women in Mathematics.
References
External Links
Meet a Mathematician! Video Interview
Year of birth missing (living people)
Living people
People from Teocaltiche
Mexican
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https://en.wikipedia.org/wiki/1974%E2%80%9375%20Rochdale%20A.F.C.%20season
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The 1974–75 season saw Rochdale compete in the Football League Fourth Division, following relegation the previous season.
Statistics
|}
Final League Table
Competitions
Football League Fourth Division
F.A. Cup
League Cup
References
Rochdale A.F.C. seasons
Rochdale
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https://en.wikipedia.org/wiki/Korteweg-de%20Vries%20Institute%20for%20Mathematics
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The Korteweg-de Vries Institute for Mathematics (KdVI) is the institute for mathematical research at the University of Amsterdam. The KdVI is located in Amsterdam at the Amsterdam Science Park.
Robbert Dijkgraaf, Alexander Schrijver, Nicolai Reshetikhin, Jacob Korevaar, Miranda Cheng, Harry Buhrman and Jan van de Craats are notable researchers connected to the institute. The KdVI is an institutional member of the Royal Dutch Mathematical Society and the European Mathematical Society.
Research
Among the core research directions of the KdVI are:
Algebraic geometry, prof.dr. Lenny Taelman
Representation theory, Lie theory and algebraic groups, prof.dr. Jasper Stokman and prof.dr. Eric Opdam
Theoretical physics and mathematical physics, prof.dr. Sergey Shadrin
Discrete mathematics, algebraic combinatorics and graph theory, prof.dr. Jo Ellis-Monaghan
Pure analysis and dynamical systems, prof.dr. Han Peters
Numerical analysis and applied analysis, prof.dr. Rob Stevenson
Mathematical statistics and machine learning, prof.dr. Joris Mooij
Probability theory and queueing theory, prof.dr. Michel Mandjes
History of mathematics, dr. Gerard Alberts
Didactics, dr. André Heck
The institute is involved in several interdisciplinary research collaborations, including The Amsterdam String Theory Group, the NETWORKS programme and the QuSoft research center for quantum software
Education
Besides its research activities, the KdVI runs the education programmes in mathematics at the University of Amsterdam, namely the bachelor programme Mathematics and the master programmes Mathematics and Stochastics and Financial Mathematics, and jointly organises interdisciplinary double bachelor programmes Mathematics and Physics and Mathematics and Computer Science.
Name
The institute is named after the mathematicians Diederik Johannes Korteweg and Gustav de Vries. Korteweg was professor of mathematics at the University of Amsterdam from 1881 to 1918, and De Vries was Korteweg's student. Together they worked on the Korteweg–de Vries equation.
Directors
See also
Centrum Wiskunde & Informatica
Institute for Logic, Language and Computation
References
External links
Official Site
Amsterdam-Oost
Organisations based in Amsterdam
Mathematical institutes
Research institutes in the Netherlands
University of Amsterdam
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https://en.wikipedia.org/wiki/List%20of%20FC%20Chernihiv%20records%20and%20statistics
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The following is a list of FC Chernihiv records and statistics for this Ukrainian football club.
Player records and statistics
Appearances
Most goals in all competitions: Dmytro Myronenko, 139 matches
Most goals in all competitions as Foreigner: Teymuraz Mchedlishvili, 108 matches
Goalkeepers
Most appearances in all competitions: Artem Lutchenko, 27 matches
Most appearances goalkeeper with dual citizenship: Oleksandr Shyray, 45 matches
Goalscorers
Most goals in all competitions: Dmytro Myronenko, 16 goals
Most goals in all competitions as Foreigner: Teymuraz Mchedlishvili, 15 goals
Managerial records
Longest-serving manager: Vadym Postovoy (15 years)
Most capped players
Honours
Chernihiv Oblast Football Championship
Winners (1): 2019 Runners-up (2): 2011, 2014
Third Place (3): 2013, 2017, 2018Chernihiv Oblast Football Cup Winners (1): 2012
Runners-up (1) 2016
Kit suppliers and shirt sponsors history
Foreign players
The List of Foreign Players of FC Chernihiv.
Foreigners
Dual citizenship
Other
References
Ukrainian football club statistics
Association football club records and statistics
FC Chernihiv
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https://en.wikipedia.org/wiki/H-object
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In mathematics, specifically homotopical algebra, an H-object is a categorical generalization of an H-space, which can be defined in any category with a product and an initial object . These are useful constructions because they help export some of the ideas from algebraic topology and homotopy theory into other domains, such as in commutative algebra and algebraic geometry.
Definition
In a category with a product and initial object , an H-object is an object together with an operation called multiplication together with a two sided identity. If we denote , the structure of an H-object implies there are mapswhich have the commutation relations
Examples
Magmas
All magmas with units are secretly H-objects in the category .
H-spaces
Another example of H-objects are H-spaces in the homotopy category of topological spaces .
H-objects in homotopical algebra
In homotopical algebra, one class of H-objects considered were by Quillen while constructing André–Quillen cohomology for commutative rings. For this section, let all algebras be commutative, associative, and unital. If we let be a commutative ring, and let be the undercategory of such algebras over (meaning -algebras), and set be the associatived overcategory of objects in , then an H-object in this category is an algebra of the form where is a -module. These algebras have the addition and multiplication operationsNote that the multiplication map given above gives the H-object structure . Notice that in addition we have the other two structure maps given bygiving the full H-object structure. Interestingly, these objects have the following property:giving an isomorphism between the -derivations of to and morphisms from to the H-object . In fact, this implies is an abelian group object in the category since it gives a contravariant functor with values in Abelian groups.
See also
André–Quillen cohomology
Cotangent complex
H-space
References
Category theory
Homotopical algebra
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https://en.wikipedia.org/wiki/Frank-Volker%20Eichhorn
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Frank-Volker Eichhorn (13 December 1947 – 17 January 1978) was a German composer.
Life
Eichhorn studied mathematics and physics to become a teacher. He also worked as a teacher for two years, but began studying at the Hochschule für Musik "Hanns Eisler" on the side. He eventually gave up his teaching job as a maths and physics teacher and devoted himself entirely to music, becoming a Meisterschüler of Günter Kochan at the Musikhochschule and a teacher of composition there. He founded the concert series Kammerstudio at the Haus des Lehrers in Berlin. In 1975, he was awarded the Hanns Eisler Prize. In 1978, he received a first prize in the chamber music competition of the Dresden Music Festival. His compositions were published by Edition Peters and were performed among others by the orchestra of the Komische Oper Berlin and the MDR Leipzig Radio Symphony Orchestra. In January 1978, he was killed in a car accident at the age of 30. His grave is in the Waldfriedhof Kleinmachnow. His estate is kept in the Saxon State and University Library Dresden.
Work
Varianten für großes Orchester
Novelle
Porträt „Bildnis einer Frau“
Reflexionen
Anamorphosen für Flöte, Viola, Kontrabass und Schlagzeug
Metaphorische Skizzen für Septett
Doppelkonzert: Novelle
Fantasie für Violoncello und streicherloses Orchester
Konturen für Flöte, Oboe und Violine
Recording
1979: Varianten für großes Orchester (Nova) with the Leipzig Radio Symphony Orchestra conducted by Jochen Wehner
References
External links
Nachlass Frank-Volker Eichhorn in der Sächsische Landesbibliothek – Staats- und Universitätsbibliothek Dresden
20th-century German composers
20th-century classical composers
1947 births
1978 deaths
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https://en.wikipedia.org/wiki/Wei%20Ho
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Wei Ho is an American mathematician specializing in number theory, algebraic geometry, arithmetic geometry, and representation theory. She is an associate professor of mathematics at the University of Michigan in Ann Arbor, Michigan.
Education and career
Wei Ho grew up in Wisconsin where she attended New Berlin West High School in New Berlin, Wisconsin. She was raised with a Chinese upbringing. During her middle and high school years, she participated in the Wisconsin Math League, the MATHCOUNTS competition, and the American Invitational Mathematics Examination (AIME), the USA Mathematical Talent Search (USAMTS). After her freshman year at New Berlin, Ho attended the Young Scholar Summer Program (YSSP) at the Rose-Hulman Institute of Technology in Terre Haute, Indiana. Her performance on the US National Chemistry Olympiad qualified her for a two-week study camp at the US Air Force Academy in Air Force, Colorado. Ho played on the varsity tennis team and played violin in various orchestras while at New Berlin.
In 2003, Ho received both Master's and bachelor's degrees from Harvard University in Cambridge, Massachusetts. While at Harvard, she completed a senior honors thesis entitled The Main Conjecture of Iwasawa Theory under the supervision of Noam Elkies. After college, Ho won a Harvard Herchel Smith Fellowship in Science, which enabled her to spend a year abroad at the University of Cambridge in Cambridge, England, where she completed Part III of the Mathematical Tripos with distinction. In 2009, she completed her PhD in mathematics at Princeton University in Princeton, New Jersey, under the supervision of Manjul Bhargava. She was awarded a National Science Foundation (NSF) Postdoctoral Fellowship, which enabled her to conduct research at Harvard and Princeton.
In 2010, Ho became a Joseph Fels Ritt Assistant Professor at Columbia University in New York. Ho joined the faculty at the University of Michigan as an assistant professor in 2014 and was promoted to associate professor in 2019.
Recognition
In 1994, at the age of 10, Ho got an 800 on the math portion of the SAT subject test, becoming perhaps the youngest girl to achieve that feat at the time. In 1999, Ho won a Gold Medal while representing the US at the International Chemistry Olympiad. In 2003, the Association for Women in Mathematics selected Ho as a runner-up for the Alice T. Schafer Prize for Excellence in Mathematics by an Undergraduate Woman. In that same year, Ho received the Herman Peries Prize for excellent performance in the Mathematical Tripos at Emmanuel College, University of Cambridge. In 2017, Ho was awarded a Sloan Research Fellowship by the Alfred P. Sloan Foundation.
In 2022 Ho became the director of the Women and Mathematics program at the Institute for Advanced Study, Princeton. She was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to number theory and algebraic geometry, and for service to the mathematical commun
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https://en.wikipedia.org/wiki/Sandra%20Di%20Rocco
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Sandra Di Rocco (born 1967) is an Italian mathematician specializing in algebraic geometry. She works in Sweden as a professor of mathematics and dean of the faculty of engineering science at KTH Royal Institute of Technology, and chairs the Activity Group on Algebraic Geometry of the Society for Industrial and Applied Mathematics.
Education
Di Rocco earned a laurea from the University of L'Aquila in 1992, and completed her Ph.D. in mathematics in 1996 at University of Notre Dame in the US, supervised by Andrew J. Sommese.
Career
After postdoctoral research at the Mittag-Leffler Institute in Sweden and the Max Planck Institute for Mathematics in Germany, and short stints as an assistant professor at Yale University and the University of Minnesota, Di Rocco became an associate professor at KTH in 2003. She was named full professor in 2010, served as department chair from 2012 to 2019, and became dean in 2020.
Service
Di Rocco was elected as chair of the Activity Group on Algebraic Geometry (SIAG-AG) of the Society for Industrial and Applied Mathematics (SIAM) in 2020.
References
External links
Home page
1967 births
Living people
Italian mathematicians
Italian women mathematicians
Italian emigrants to Sweden
Swedish mathematicians
Swedish women mathematicians
Yale University faculty
University of Minnesota faculty
Academic staff of the KTH Royal Institute of Technology
Algebraic geometers
University of L'Aquila alumni
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https://en.wikipedia.org/wiki/Fabio%20Toninelli
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Fabio Toninelli (born 1975) is an Italian mathematician who works in probability theory, stochastic processes and probabilistic aspects of mathematical physics.
Education
He obtained his PhD in physics, in 2003, from Scuola Normale Superiore di Pisa.
Career
Between 2004 and 2020 he was senior researcher at Centre National de la Recherche Scientifique (CNRS) in Lyon. Since 2020 he has been Professor of Mathematics at Technische Universität Wien.
He is currently (2021–2024) co-editor-in-chief (jointly with Bálint Tóth) of the journal Probability Theory and Related Fields.
Research
Toninelli has contributed substantially to the mathematical theory of disordered statistical mechanical systems, mixing of Markov chains, dimer models. His most significant contributions concern the theory of mean-field spin glasses, of polymers in random environments and of stochastic interface dynamics.
Recognition
Toninelli was an invited speaker of the International Congress of Mathematicians ICM-2018 (Rio de Janeiro), an invited plenary speaker of the 9th European Congress of Mathematics (Sevilla, 2024, https://www.ecm2024sevilla.com/), an invited plenary speaker of the International Congress on Mathematical Physics ICMP-2018 (Montreal), and an invited plenary speaker of the Conference on Stochastic Processes and their Applications SPA-2014 (Buenos Aires).
References
External links
Personal website https://sites.google.com/view/fabio-toninelli/home
Living people
1975 births
Italian mathematicians
Academic staff of TU Wien
Probability Theory and Related Fields editors
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https://en.wikipedia.org/wiki/Tobias%20Thomas
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Tobias Thomas (born April 30, 1975 in Duisburg) is a German economist and Director General of Statistics Austria.
He is also Vice Chair of the Austrian Productivity Board (PROD), and professor of economics, in particular of Public Finance and Political Economy, at the Düsseldorf Institute for Competition Economics (DICE) at Heinrich Heine University Düsseldorf.
According to the 2019 ranking of economists by Die Presse, F.A.Z., and the Neue Zürcher Zeitung, Thomas is the 5th most influential economist in Austria. Since 2020, he has no longer been listed in accordance with the ranking’s regulations due to his position as Director General of Statistics Austria. Thomas is regularly present in national and international media, for example in BusinessDay, Der Standard, Die Presse, Frankfurter Allgemeine Zeitung, Schweizer Monat, Trend and Wirtschaftswoche. In 2022, Thomas was quoted 1,601 times in Austrian media only (2021: 1,413 times).
Life
Thomas studied economics at the Friedrich Wilhelm University of Bonn and Technical University Berlin before earning his doctorate summa cum laude at Helmut-Schmidt-University Hamburg, where he later also gained his habilitation. Thomas was a visiting scholar at, among others, Columbia University at the invitation of Nobel Laureate in Economics Joseph E. Stiglitz and Anya Schiffrin and at the Max-Planck Institute for Tax Law and Public Finance in Munich at the invitation of Kai A. Konrad. From 2017 to June 2020, he was director of the economic research institute EcoAustria, based in Vienna. Since June 2020, Thomas is Director General of Statistics Austria.
Committees and functions
Thomas is Vice Chair of the Austrian Productivity Board (PROD), scientific expert at the Austrian Pension Commission which analyses the financial sustainability of the national pension system, and he serves as member of the Commission Future of Statistics (KomZS) for the strategic planning of the German Federal Statistical Office (Destatis).
In addition, Thomas is Vice President of the Austrian Statistical Society (ÖSG), member of the Science Advisory Board of the Complexity Science Hub Vienna (CSH), member of the Committee on Economic Systems and Institutional Economics of the Verein für Socialpolitik (VfS), and Research Fellow at the Center for Media, Data and Society (CMDS) of the Central European University (CEU).
Internationally, Thomas represents Austria in the European Statistical System Committee (ESSC), the United Nations Statistical Commission (UNSC), the United Nations Conference of European Statisticians (UNCES), and the OECD Committee on Statistics and Statistical Policy (CSSP). In 2021, he was also elected by the ESS member states to the Partnership Group (ESS-PG), which provides strategic advice to the work of the ESSC. In addition, Thomas is member of the UNCES task force on data stewardship.
Scientific work
In his research at the interface between economics and psychology, Thomas analyses decision processes and
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https://en.wikipedia.org/wiki/Artem%20Pestryakov
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Artem Pestryakov (; born 30 July 1999) is a Russian footballer currently playing as a midfielder for Codru Lozova.
Career statistics
Club
Notes
References
1999 births
Living people
Russian men's footballers
Russian expatriate men's footballers
Men's association football midfielders
Moldovan Super Liga players
FC Codru Lozova players
Russian expatriate sportspeople in Moldova
Expatriate men's footballers in Moldova
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https://en.wikipedia.org/wiki/Ilya%20Azyavin
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Ilya Andreyevich Azyavin (; born 24 July 2000) is a Russian footballer who plays as a midfielder for Murom.
Career statistics
Club
Notes
References
2000 births
Sportspeople from Astrakhan
Living people
Russian men's footballers
Men's association football midfielders
FC Kuban Krasnodar (2018) players
FC Volgar Astrakhan players
FC Codru Lozova players
FC Shinnik Yaroslavl players
Russian Second League players
Moldovan Super Liga players
Russian First League players
Russian expatriate men's footballers
Expatriate men's footballers in Moldova
Russian expatriate sportspeople in Moldova
FC Chelyabinsk players
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https://en.wikipedia.org/wiki/Emily%20Stone%20%28mathematician%29
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Emily Foster Stone is an American mathematician whose research includes work in fluid dynamics and dynamical systems. She is a professor of mathematics at the University of Montana, where she chairs the Department of Mathematical Sciences. She is also chair of the Activity Group on Dynamical Systems of the Society for Industrial and Applied Mathematics.
Education
Stone majored in physics at the University of California, Santa Cruz, graduating in 1984. She completed her Ph.D. in theoretical and applied mechanics at Cornell University in 1989; her dissertation, A Study of Low-Dimensional Models for the Wall Region of a Turbulent Boundary Layer, was supervised by Philip Holmes.
Career
Stone taught at Arizona State University from 1992 to 1993, and at Utah State University from 1993 to 2004, before joining the University of Montana faculty in 2004.
Service
Stone was elected as chair of the Activity Group on Dynamical Systems (SIAG-DS) of the Society for Industrial and Applied Mathematics (SIAM) in 2020. She was elected Vice Chair of the same SIAG in 2022.
Selected publications
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
University of California, Santa Cruz alumni
Cornell University alumni
Arizona State University faculty
Utah State University faculty
University of Montana faculty
20th-century American women
21st-century American women
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https://en.wikipedia.org/wiki/Love%20at%20First%20Sight%20%282023%20film%29
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Love at First Sight is a 2023 American romantic comedy film directed by Vanessa Caswill and written by Katie Lovejoy, based upon the 2011 novel The Statistical Probability of Love at First Sight by Jennifer E. Smith. It stars Haley Lu Richardson, Ben Hardy, Dexter Fletcher, Rob Delaney, Sally Phillips and Jameela Jamil. The film premiered on Netflix on September 15, 2023.
Plot
20-year old American student Hadley Sullivan, who has a knack for tardiness and not always keeping a fully charged phone, misses her flight to London by four minutes but is able to get rebooked on the next one. Afterwards, at the mobile phone charging station, she goes to charge her phone and meets British 22-year old Yale statistics student Oliver Jones, who offers to lend her his phone charger. They get along well and eat dinner together. At the cafeteria, they learn more about each other. Oliver learns that Hadley is flying to London for her dad's wedding, having already divorced her mom, her three greatest fears (dentists, small spaces and mayonnaise), and that she is undecided on her studies. Hadley learns that Oliver is studying statistical inference and is conducting a research project, though he’s a bit shady on what it is, and that he also shares a mutual hatred for mayonnaise. Hadley admits she has misgivings about attending the wedding, but Oliver encourages her to forgive her father and reconcile with him.
Seeing Oliver is carrying a garment bag, Hadley assumes Oliver is also going to attend a wedding and he does not contest this. After boarding they part ways, but when Oliver takes his seat, his seat belt is broken and he is moved, funnily enough, in the seat right next to Hadley. They spend the flight falling in love. After landing, Oliver gives Hadley his phone number, telling her to text him, but her phone dies and she loses the number. With no way to find Oliver, Hadley goes to her dad Andrew and his fiancée Charlotte's wedding, arriving right before it's due to start. While still struggling with her father's decision to remarry, Hadley is struck by Charlotte's kindness and consideration of her and Andrew's happiness.
After the ceremony, Hadley overhears family friends telling Charlotte that they’ll be leaving early to attend a memorial service. After hearing some of the details about the woman who died, particularly the part about an older son travelling from America to attend the service, Hadley realizes that Oliver has actually come to London to attend his mother’s memorial, not a wedding. Hadley makes a split second decision to go to the memorial before the wedding reception starts in a few hours.
Meanwhile, after Oliver gets picked up at the airport by his brother Luther, they both head to the memorial which is Shakespeare-themed. While there, he goes to see his mother who is actually still alive, having decided to attend her own memorial before her death so she could experience it herself. Oliver's mother, Tess, had successfully treated lung
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https://en.wikipedia.org/wiki/Anderson%20Canhoto
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Anderson Cardoso de Campos (born 30 March 1997), known as just Anderson Canhoto, is a Brazilian footballer who plays for Ansan Greeners, as a forward.
Career statistics
Club
References
1997 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Footballers from Rio Grande do Sul
Campeonato Brasileiro Série D players
Liga Portugal 2 players
K League 2 players
Clube Esportivo Aimoré players
Associação Chapecoense de Futebol players
Esporte Clube São José players
FC Porto players
FC Porto B players
Esporte Clube Avenida players
Ansan Greeners FC players
Brazilian expatriate sportspeople in Portugal
Brazilian expatriate sportspeople in South Korea
Expatriate men's footballers in Portugal
Expatriate men's footballers in South Korea
People from Canoas
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https://en.wikipedia.org/wiki/Alfredo%20Anhielo
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Alfredo Anhielo (born 30 August 1951) is a former Argentine soccer player who played in the NASL.
Career statistics
Club
Notes
References
1951 births
Living people
Argentine men's footballers
Argentine expatriate men's footballers
Men's association football goalkeepers
Defensores de Belgrano footballers
Club Atlético Colegiales (Argentina) players
San Lorenzo de Almagro footballers
Club Atlético Banfield footballers
C.D.S. Tampico Madero footballers
Club Real Potosí players
Los Angeles Aztecs players
Phoenix Inferno players
Quilmes Atlético Club footballers
North American Soccer League (1968–1984) players
Major Indoor Soccer League (1978–1992) players
Expatriate men's footballers in Mexico
Argentine expatriate sportspeople in Mexico
Expatriate men's footballers in Bolivia
Argentine expatriate sportspeople in Bolivia
Expatriate men's soccer players in the United States
Argentine expatriate sportspeople in the United States
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https://en.wikipedia.org/wiki/Naomi%20Fisher
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Naomi D. Fisher is an American mathematician and mathematics educator and professor emerita of mathematics and computer science at the University of Illinois at Chicago.
Education and career
Fisher did her undergraduate work at Connecticut College for Women (now Connecticut College) and was awarded a B.A. in mathematics from that institution. She received an M.A. in mathematics from the University of Wisconsin, Madison, and a Ph.D. in mathematics education from Northwestern University in 1977. Fisher was a professor in the Department of Mathematics and Computer Science at the University of Illinois at Chicago, served as co-director of the Mathematicians and Education Reform Network (MER) of the Universities of Illinois and Minnesota, and served as the director of the High School Teaching Program for the Regional Geometry Institute (RGI) for the Universities of Illinois Chicago, Texas, Utah, and Washington. She was co-editor of the MER Newsletter.
The Mathematicians and Education Reform Network is a network of research mathematicians who are interested in mathematics education reform in K–12 and the improvement of undergraduate mathematics education. Fisher designed and developed a series of workshops that showcased the significant efforts of research mathematicians in education reform. She conceptualized the Conference Board of the Mathematical Sciences (CBMS) monograph series ISSUES IN MATHEMATICS EDUCATION and was co-editor of four of the first five volumes in that series.
The Regional Geometry Institute (RGI), now the Park City Mathematics Institute, was another avenue to bring together research mathematicians and math educators. Fisher was a founding member of RGI and the primary developer of an agenda that was both rigorous and stimulating for K–12 teachers. The institute was widely praised by participants.
Fisher was active in the Association for Women in Mathematics (AWM). She ran for the position of At-Large Member on the Executive Committee of the AWM in 1993 and joined the Executive Committee in February 1994. The Executive Committee serves as the Board of Directors for the AWM. She served on the Mathematics Association of America (MAA) Committee on Undergraduate Program in Mathematics from 2000 through 2002. She was a co-organizer of AMS-MAA-MER Special Sessions on Mathematics and Education Reform at the Joint Mathematics Meetings in San Antonio, Texas (1999) and Phoenix, Arizona (2004).
Recognition
In 1993, Fisher was presented with Louise Hay Award for Contributions to Mathematics Education by the Association for Women in Mathematics for her ongoing work in mathematics education reform. In 2006, Fisher gave an MAA invited address at the annual Joint Mathematics Meetings in San Antonio, Texas. The title of her talk was "Mathematics and education reform: A cautionary tale".
Edited volumes
Naomi D. Fisher and Harvey B. Keynes, Philip D. Wagreich (Editors), Mathematicians and Education Reform: Proceedings of the July 6–9,
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https://en.wikipedia.org/wiki/Convergence%20space
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In mathematics, a convergence space, also called a generalized convergence, is a set together with a relation called a that satisfies certain properties relating elements of X with the family of filters on X. Convergence spaces generalize the notions of convergence that are found in point-set topology, including metric convergence and uniform convergence. Every topological space gives rise to a canonical convergence but there are convergences, known as , that do not arise from any topological space. Examples of convergences that are in general non-topological include convergence in measure and almost everywhere convergence. Many topological properties have generalizations to convergence spaces.
Besides its ability to describe notions of convergence that topologies are unable to, the category of convergence spaces has an important categorical property that the category of topological spaces lacks.
The category of topological spaces is not an exponential category (or equivalently, it is not Cartesian closed) although it is contained in the exponential category of pseudotopological spaces, which is itself a subcategory of the (also exponential) category of convergence spaces.
Definition and notation
Preliminaries and notation
Denote the power set of a set by The or in of a family of subsets is defined as
and similarly the of is
If (resp. ) then is said to be (resp. ) in
For any families and declare that
if and only if for every there exists some such that
or equivalently, if then if and only if The relation defines a preorder on If which by definition means then is said to be and also and is said to be The relation is called . Two families and are called ( ) if and
A is a non-empty subset that is upward closed in closed under finite intersections, and does not have the empty set as an element (i.e. ). A is any family of sets that is equivalent (with respect to subordination) to filter or equivalently, it is any family of sets whose upward closure is a filter. A family is a prefilter, also called a , if and only if and for any there exists some such that
A is any non-empty family of sets with the finite intersection property; equivalently, it is any non-empty family that is contained as a subset of some filter (or prefilter), in which case the smallest (with respect to or ) filter containing is called () .
The set of all filters (resp. prefilters, filter subbases, ultrafilters) on will be denoted by (resp. ).
The or filter on at a point is the filter
Definition of (pre)convergence spaces
For any if then define
and if then define
so if then if and only if The set is called the of and is denoted by
A on a non-empty set is a binary relation with the following property:
: if then implies
In words, any limit point of is necessarily a limit point of any finer/subordinate family
and if in addition it also has the following property:
: if then
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https://en.wikipedia.org/wiki/Jeannette%20Janssen
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Jeannette Catharina Maria Janssen is a Dutch and Canadian mathematician whose research concerns graph theory and the theory of complex networks. She is a professor of mathematics at Dalhousie University, the chair of the Dalhousie Department of Mathematics and Statistics, and the chair of the Activity Group on Discrete Mathematics of the Society for Industrial and Applied Mathematics.
Education and career
Janssen earned a master's degree at the Eindhoven University of Technology in 1988. She completed her Ph.D. at Lehigh University in 1993. Her dissertation, Even and Odd Latin Squares, concerned Latin squares and was supervised by Edward F. Assmus Jr.
From 1988 to 1990 Janssen was a lecturer at the Universidad de Guanajuato in Mexico. After completing her Ph.D., she became a postdoctoral researcher jointly at the Laboratoire de Combinatoire et d’Informatique Mathématique of Université du Québec à Montréal and at Concordia University. She took a position as a lecturer and research associate at the London School of Economics in 1995, and moved to Acadia University in 1997 before taking her present position at Dalhousie University.
At Dalhousie, she was named department chair in 2016, becoming the first female chair of the mathematics department.
Service
Janssen directed the Atlantic Association for Research in the Mathematical Sciences from 2011 to 2016, and chairs its board of directors. She was elected as chair of the Activity Group on Discrete Mathematics (SIAG-DM) of the Society for Industrial and Applied Mathematics (SIAM) for the 2021–2022 term.
Research
In a 1993 paper, Janssen solved the unbalanced case of the Dinitz conjecture, showing that any partial Latin rectangle could be extended to a full rectangle. The problem is equivalent to list edge-coloring of complete bipartite graphs, and her solution was based on earlier work on list coloring by Noga Alon and Michael Tarsi. Janssen's work "surprised even many of the experts", and was considered to be "great progress" on the Dinitz conjecture. The remaining case of the conjecture for squares (balanced complete bipartite graphs) was proven a year later by Fred Galvin.
References
External links
Home page
Year of birth missing (living people)
Living people
Canadian mathematicians
Canadian women mathematicians
Dutch mathematicians
Dutch women mathematicians
Graph theorists
Eindhoven University of Technology alumni
Lehigh University alumni
Academic staff of Universidad de Guanajuato
Academics of the London School of Economics
Academic staff of Acadia University
Academic staff of the Dalhousie University
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https://en.wikipedia.org/wiki/Jordy%20Evans
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Jordy Jafeth Evans Solano (born 17 April 2002) is a Costa Rican professional footballer who plays as a defender for Costa Rican club Saprissa.
Career statistics
Club
Notes
Honours
Club
Saprissa
Liga FPD: Clausura 2021
References
2002 births
Living people
Costa Rican men's footballers
Costa Rica men's youth international footballers
Men's association football defenders
Deportivo Saprissa players
Liga FPD players
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https://en.wikipedia.org/wiki/Gauravdeep%20Singh
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Gauravdeep Singh Pansotra (; born 9 November 1997) is a Hong Kong professional footballer of Indian descent who plays as a midfielder and is currently a free agent.
Career statistics
Club
Notes
References
Living people
1997 births
Hong Kong men's footballers
Hong Kong people of Indian descent
Men's association football midfielders
Hong Kong First Division League players
Hong Kong Premier League players
Hong Kong Rangers FC players
Resources Capital FC players
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https://en.wikipedia.org/wiki/Rodrigo%20Ba%C3%B1uelos
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Rodrigo Bañuelos is an American mathematician and a professor of mathematics at Purdue University in West Lafayette, Indiana. His research is in probability and its applications to harmonic analysis and spectral theory.
Early life, education, and career
Bañuelos was born in La Masita in the state of Zacatecas, Mexico. When he was 15, Bañuelos, his mother, grandmother, and six siblings moved to Pasadena, California. In 1978, Bañuelos received a B.A. in mathematics from the University of California, Santa Cruz. In 1980, he received a M.A.T. in mathematics with a California High School Teaching Credential form the University of California, Davis. In 1984, Bañuelos was awarded a Ph.D. in mathematics by the University of California, Los Angeles. He wrote his dissertation "Martingale Transforms, Related Singular Integrals, and AP-Weights" under the supervision of Richard Timothy Durrett.
According to MathSciNet, Bañuelos has authored or co-authored 102 articles in mathematical journals and books, which appeared in various journals.
Bañuelos has served on several editorial boards, including the Annals of Probability, Transactions of the AMS, Probability and Mathematical Statistics, Revista Matemática Iberoamericana, Latin American Journal of Probability and Mathematical Statistics, Potential Analysis, Annals of Probability and the Latin American Journal of Probability and Mathematical Statistics. He has served on numerous committees of the AMS.
Book
Rodrigo Bañuelos and Charles N. Moore, Probabilistic Behavior of Harmonic Functions, Birkhäuser, 1999, .
Honors and awards
1984–1986 Bantrell Research Fellow at California Institute of Technology
1986–1989 National Science Foundation (NSF) Postdoctoral Fellow at University of Illinois at Urbana-Champaign and Purdue University
1989–1994 NSF Presidential Young Investigator
2000 Elected Fellow of the Institute of Mathematical Statistics
2004 Blackwell-Tapia Prize in Mathematics
2009 Outstanding Latino Award, Purdue Latino Faculty and Staff Association
2013 Elected Fellow of the American Mathematical Society
2017 Elected Fellow of the Association for Women in Mathematics in the inaugural class
2018 Martin Luther King Jr. Dreamer Award, Purdue University
2022 AMS Award for Distinguished Public Service
2023 Class of SIAM Fellows
References
External links
Rodrigo Bañuelos' Author profile on MathSciNet
Purdue University faculty
Fellows of the American Mathematical Society
Fellows of the Association for Women in Mathematics
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
Fellows of the Institute of Mathematical Statistics
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https://en.wikipedia.org/wiki/African%20Women%20in%20Mathematics%20Association
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The African Women in Mathematics Association (AWMA) is a professional society whose mission is to promote mathematics to African women and girls, to support women's careers in mathematics, to create equal opportunity and equal treatment in the African mathematical community, and to create a meeting place for mathematical African women. The AWMA was founded in 2013. AWMA has approximately 300 members from over 30 countries and from all regions of Africa. It hosts events to encourage African girls' participation in mathematics.
History
In 1986, the African Mathematical Union founded the commission on women and mathematics (AMUCWMA). At the AMUCWMA's 2012 conference in Ouagadougou, which drew over 70 attendees, a panel on the state on women in mathematics in Africa was held. The panel's primary recommendation was to create an association for African female mathematicians. The AWUCWMA held another conference soon after in July 2013 in Cape Town. One of the primary objectives of the conference was to form an association for African women in mathematics. On July 19, 2013 at the conference, the African Women in Mathematics Association was officially formed. The primary objective was "the promotion of female mathematicians in Africa and the promotion of mathematics among girls and women in Africa".
The first AWMA conference was held in July 2015 in Naivasha, Kenya. The topic of the conference was Women in Mathematics for Social Change and Sustainable Livelihoods. Starting in October 2020, the association has hosted virtual seminars due to the COVID-19 pandemic. The first of these seminars was hosted by Aissa Wade on complex contact structures and Jacobi manifolds.
The AWMA has collaborated with the African Mathematical Union, Centre International de Mathématiques Pures et Appliquées, and European Women in Mathematics. They created their website in 2015, with assistance from the Women in Mathematics committee of the International Mathematical Union.
In coordination with other women's mathematics organizations, the AWMA celebrates women in mathematics during the May 12 Initiative. The date was chosen for Maryam Mirzakhani's birthday.
Organization
At the organization's formation, Marie Françoise Ouedraogo was elected president, Joséphine Guidy Wandja the vice president of Western Africa, Rebecca Walo Omana the Vice President of Central Africa, Schehrazad Selmane the Vice President of Northern Africa, Yirgalem Tsegaye the Vice President of Eastern Africa, and Sibusiso Moyo the Vice President of Southern Africa. The group is a nonprofit organization. Decisions are made by simple majority, and constitutional changes are made by 2/3 majority. A general meeting is held at least once every two years.
The organization lists its purpose as:
To encourage African women to take up and continue their studies in mathematics and to promote mathematics among women.
To support African women with or desiring careers in research in mathematics or Mathematics rela
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https://en.wikipedia.org/wiki/Ellipsoid%20packing
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In geometry, ellipsoid packing is the problem of arranging identical ellipsoid throughout three-dimensional space to fill the maximum possible fraction of space.
The currently densest known packing structure for ellipsoid has two candidates,
a simple monoclinic crystal with two ellipsoids of different orientations and
a square-triangle crystal containing 24 ellipsoids in the fundamental cell. The former monoclinic structure can reach a maximum packing fraction around for ellipsoids with maximal aspect ratios larger than . The packing fraction of the square-triangle crystal exceeds that of the monoclinic crystal for specific biaxial ellipsoids, like ellipsoids with ratios of the axes and . Any ellipsoids with aspect ratios larger than one can pack denser than spheres.
See also
Packing problems
Sphere packing
Tetrahedron packing
References
Packing problems
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https://en.wikipedia.org/wiki/Rebecca%20Walo%20Omana
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Rebecca Walo Omana (born 15 July 1951) is a Congolese mathematician, professor, and reverend sister. Omana became the first female mathematics professor in the Democratic Republic of the Congo in 1982. She is the director of the mathematics and informatics doctoral program at the University of Kinshasa and is a vice-president of the African Women in Mathematics Association. Her mathematical interests lie in differential equations, nonlinear analysis, and modeling.
Biography
Omana was born in the Democratic Republic of the Congo, on 15 July 1951. She was passionate about mathematics during high school. She made her religious profession to the Catholic Soeurs de St Francois d'Assise at the age of 18, and made her sacred vows in 1978.
Omana earned a bachelor’s of science in mathematics from the Université du Québec à Montréal in 1979. She earned her master’s of science in 1982 from the Université Laval. In both institutions, she was the only African woman in the department. Of this period Omana says:
I had to double effort to be better and remove negative prejudices in the heads of my colleagues and my professors to be accepted. But in view of results, I was not only accepted but invited by groups of colleagues for research works.
In 1982, Omana began working as a lecturer and became the first female mathematics professor in the Democratic Republic of the Congo.
Omana earned her Diplôme d'études approfondies in 1985 and her Ph.D in 1990 from the Université catholique de Louvain where she worked with advisor Jean Mawhin. She was the first Congolese woman to earn a doctorate there.
At the founding of the quarterly multidisciplinary journal la revue Notre Dame de la Sagesse (RENODAS), Omana was listed as the director. She has supervised numerous doctoral students. She hopes that some of her doctoral students will join her among the small number of female professors in the Democratic Republic of the Congo. Omana heads the mathematics doctoral program at the University of Kinshasa. Since 2010, she has served as the rector for the Université Notre-Dame de Tshumbe (UNITSHU), a Catholic public university which was founded in 2010 in Tshumbe, Democratic Republic of the Congo.
Mathematical works
Omana has published two books. Her work on ordinary differential equations has had applications in fields like epidemiology and law.
Personal life
Omana's parents are not academics, but some siblings hold master's degrees. Her teachers and father influenced her decision to become a mathematician.
She has said "mathematics is fantastic; as its name is female, it is a domain that should belong to us women".
See also
Timeline of women in mathematics
Grace Alele-Williams
Marie Françoise Ouedraogo
Notes
References
Democratic Republic of the Congo women writers
African women mathematicians
Women heads of universities and colleges
Democratic Republic of the Congo scientists
Université catholique de Louvain alumni
Université du Québec à Montréal alumn
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https://en.wikipedia.org/wiki/David%20Nelson%20%28mathematician%29
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David Nelson (born 1938) (also known as R. D. Nelson) is an English mathematician.
He is a Chartered Mathematician and a Fellow of the Institute of Mathematics and its Applications.
Nelson was educated at Calday Grange Grammar School, Cheshire, and won an open mathematical scholarship to Christ's College, Cambridge.
After postgraduate work in mathematical logic at Cambridge and Bristol universities, he entered the teaching profession.
From 1981 to 2001 he was a lecturer in education at the University of Manchester, specializing in mathematics education and the history of mathematics. From 1990 to 2001 he developed and gave courses in mathematical cognition, mathematics education and the history of mathematics in the Department of Mathematics. From 1993 to 2001 he founded and chaired the inter-departmental Maths Education Research Group Seminar (MERG). He is now an honorary visitor in the Department of Mathematics.
Nelson is editor of the Penguin Dictionary of Mathematics (fourth edition, 2008). Originally published in 1989, the book has been translated into Chinese and a Japanese edition is being prepared. He has been a mathematics advisory editor to Penguin Books since 1971, commissioning, advising on and editing over 80 new titles.
His book Multicultural Mathematics (1993, Oxford University Press), with George Gheverghese Joseph and Julian Williams, presents a rationale for teaching mathematics from a multicultural standpoint, shows how the method can be applied within the core of any elementary curriculum and explores the educational and social benefits of such an approach.
Nelson's other books include The Penguin Dictionary of Statistics (2004), Extensions of Calculus (1990, Cambridge University Press), with Colin Goldsmith and Adventures with your Computer (1984, Penguin Books), with Lennart Rade, which presents sixteen mathematical activities and problem areas for students to explore by programming in BASIC on a microcomputer. It was also published in German and Japanese editions.
He has published journal papers on psychology, mathematics education, mathematics, and music.
He has lectured in Poland, Italy, France and the US, and, in 1995, at the invitation of the State Education Committee of the People's Republic of China, organized and led a three- week National Seminar on Mathematics Education to initiate reform of the Chinese national mathematics curriculum.
For many years he has been an A-level examiner and setter of papers, and was a chief examiner in mathematics for OCR (Oxford, Cambridge and RSA Examinations) from 1998 to 2001 and then a principal examiner in mathematics for CAIE (Cambridge Assessment International Education) from 2001 to 2016.
A former member of the National Youth Orchestra, his main recreations are playing the flute and piano, gardening and golf. His wife, Gillian, is a writer and a gardener. They have three children and nine grandchildren.
References
21st-century English mathematicians
1938 births
Li
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https://en.wikipedia.org/wiki/Counting%20on%20Frameworks
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Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures is an undergraduate-level book on the mathematics of structural rigidity. It was written by Jack E. Graver and published in 2001 by the Mathematical Association of America as volume 25 of the Dolciani Mathematical Expositions book series. The Basic Library List Committee of the Mathematical Association of America has recommended its inclusion by undergraduate mathematics libraries.
Topics
The problems considered by Counting on Frameworks primarily concern systems of rigid rods, connected to each other by flexible joints at their ends; the question is whether these connections fix such a framework into a single position, or whether it can flex continuously through multiple positions. Variations of this problem include the simplest way to add rods to a framework to make it rigid, or the resilience of a framework against the failure of one of its rods.
To study this question, Graver has organized Counting on Frameworks into four chapters. The first chapter studies square grids and methods of cross bracing the grid to make it rigid, as a way of introducing the notion of the degrees of freedom of a mechanical system. The second chapter provides an introduction to graph theory, the one-dimensional theory of rigidity through the analysis of the connected components of graphs, and a reformulation of the grid bracing problem in terms of connectivity of an associated bipartite graph. Chapter three concerns two-dimensional rigidity, the concepts of infinitesimal and generic rigidity, the combinatorial and algorithmic aspects of the subject, and the obstacles to extending this theory to three dimensions. A final chapter describes the history of rigidity theory, applications including mechanical linkages, geodesic domes, tensegrity, the rigidity of molecules in chemistry, and even art. It also discusses open problems for research in this area.
Audience and reception
Counting on Frameworks expects its readers to be familiar with multivariable calculus, but beyond that level of background material it does not demand much mathematical sophistication. More generally, the editors of Mathematika recommend it to "Any reader with at least a slight mathematical background". To avoid demanding too much background of its readers, it is unable to present full proofs of some of its results, instead presenting them as intuitive proof sketches. A more advanced and rigorous treatment of the same material can be found in Combinatorial Rigidity (1993), a graduate textbook co-authored by Graver.
It includes exercises for students, making it suitable as an undergraduate textbook. Reviewer Tiong Seng Tay describes it as "an excellent expository book".
References
Mathematics books
2001 non-fiction books
Mathematics of rigidity
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https://en.wikipedia.org/wiki/1975%E2%80%9376%20Rochdale%20A.F.C.%20season
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The 1975–76 season saw Rochdale compete in their 2nd consecutive season in the Football League Fourth Division
Statistics
|}
Final League Table
Competitions
Football League Fourth Division
F.A. Cup
League Cup
References
Rochdale A.F.C. seasons
Rochdale
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https://en.wikipedia.org/wiki/Equivalence%20theorem
|
Equivalence theorem may refer to:
Economics
Ricardian equivalence, a principle in economics
Revenue equivalence, a concept in auction theory
Mathematics and physics
Compass equivalence theorem, a theorem in straightedge and compass construction
Equivalence principle, in general relativity
Lax equivalence theorem, a theorem in the analysis of finite difference methods
Optical equivalence theorem, a theorem in quantum optics
Surface equivalence principle, a principle in electromagnetism and antenna theory
Science disambiguation pages
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https://en.wikipedia.org/wiki/Beno%C3%AEt%20Godin
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Benoît Godin was a Canadian political scientist and sociologist.
Biography
Benoît Godin is mostly known for his research into the history of statistics, statistics of innovation, and of the ideological roots of the concept of innovation. After a first degree at the Université Laval (1984) in Québec (CA), he obtained a PhD at the Science Policy Research Unit (SPRU) the University of Sussex (UK) in 1994). From February 1993 until his death he was professor at Institut national de la recherche scientifique INRS, Québec (CA).
Work
The work of Benoît Godin covers both the history of quantification and that of innovation. He worked on measurement statistics in science, on the history of science proper, as well as that of technology and innovation. In the last years of his life he focused on the intellectual history of innovation, noting how the ‘superlative’ connotation of the term innovation is recent, in relative terms, as it had a rather negative connotation until the late 1960s or early 1970s.
Books
(As editor with Dominique Vinck) Critical Studies of Innovation: Alternative Approaches to the Pro-Innovation Bias.
See also
Innovation
Science and technology studies
Social construction of technology
References
External links
Page of Benoît Godin at INRS
Page of The Idea of Innovation, A project funded by the Canadian Social Sciences and Humanities Research Council (SSHRC).
CASTI Network, Conceptual Approaches to Science, Technology, and Innovation: An Interdisciplinary Research Network.
Sociologists of science
Science studies
Science and technology studies scholars
Social constructionism
Sociology of scientific knowledge
21st-century Canadian philosophers
Philosophers of science
Philosophers of technology
1958 births
2021 deaths
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https://en.wikipedia.org/wiki/James%20A.%20Morrow
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James A. Morrow (born September 14, 1941) is an American mathematician and professor emeritus of mathematics at the University of Washington in Seattle, Washington. His research interests shifted from several complex variables and differential geometry to discrete inverse problems in the middle of his career.
Education and career
Morrow was born in Little Rock, Arkansas and attended high school in Dallas, Texas. In 1963, Morrow received a B.S. degree from California Institute of Technology (Caltech) in Pasadena, California. In 1967, Morrow received his Ph.D. in mathematics from Stanford University in Palo Alto, California. His dissertation "The Topological Type of Non-Singular Deformations of Singular Surfaces" was written under the supervision of Kunihiko Kodaira. After teaching at the University of California, Berkeley for two years, Morrow joined the faculty of the University of Washington in Seattle, Washington as an assistant professor in 1969. He was promoted to associate professor in 1973 and to professor in 1978.
Honors and awards
In 2005, Morrow received the Pacific Institute for the Mathematical Sciences (PIMS) Education Prize, which recognizes mathematicians who have "played a major role in encouraging activities which enhance public awareness and appreciation of mathematics, as well as fostering communication amongst the various groups and organizations concerned". In that same year he was awarded a University of Washington College on Arts and Sciences Alumni Distinguished Professor.
In 2006, Morrow was selected to receive the Mathematical Association of America (MAA) Distinguished Teaching Award of the Pacific Northwest Section of the MAA.
In 2008, Morrow received the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics from the Mathematical Association of America.
In 2013, Morrow received the Association for Women in Mathematics (AWM) M. Gweneth Humphreys Award for Mentorship of Undergraduate Women for his "outstanding achievements in inspiring undergraduate women to discover and pursue their passion for mathematics."
In 2018, Morrow was elected a Fellow of the Association for Women in Mathematics in the inaugural class.
Book
James Morrow and Kunihiko Kodaira, Complex manifolds , AMS Chelsea Publishing, Providence, RI, 1971 (reprinted in 2006), Electronic .
References
External links
James A. Morrow's Author profile on MathSciNet
Living people
Fellows of the Association for Women in Mathematics
University of Washington faculty
Stanford University alumni
California Institute of Technology alumni
20th-century American mathematicians
Differential geometers
1941 births
21st-century American mathematicians
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https://en.wikipedia.org/wiki/Grid%20bracing
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In the mathematics of structural rigidity, grid bracing is a problem of adding cross bracing to a square grid to make it into a rigid structure. It can be solved optimally by translating it into a problem in graph theory on the connectivity of bipartite graphs.
Problem statement
The problem considers a framework in the form of a square grid, with rows and columns of squares. The grid has edges, each of which has unit length and is considered to be a rigid rod, free to move continuously within the Euclidean plane but unable to change its length. These rods are attached to each other by flexible joints at the vertices of the grid. A valid
continuous motion of this framework is a way of continuously varying the placement of its edges and joints into the plane in such a way that they keep the same lengths and the same attachments, but without requiring them to form squares. Instead, each square of the grid may be deformed to form a rhombus, and the whole grid may form an irregular structure with a different shape for each of its faces, as shown in the figure.
Unlike squares, triangles made of rigid rods and flexible joints cannot change their shapes: any two triangles with sides of the same lengths must be congruent (this is the SSS postulate). If a square is cross-braced by adding one of its diagonals as another rigid bar, the diagonal divides it into two triangles which similarly cannot change shape, so the square must remain square through any continuous motion of the cross-braced framework. (The same framework could also be placed in the plane in a different way, by folding its two triangles onto each other over their shared diagonal, but this folded placement cannot be obtained by a continuous motion.) Similarly, if all squares of the given grid were cross-braced in the same way, the grid could not change shape; its only continuous motions would be to rotate it or translate it as a single rigid body. However, this method of making the grid rigid, by adding cross-braces to all its squares, uses many more cross-braces than necessary. The grid bracing problem asks for a description of the minimal sets of cross-braces that have the same effect, of making the whole framework rigid.
Graph theoretic solution
As originally observed, the grid bracing problem can be translated into a problem in graph theory by considering an undirected bipartite graph that has a vertex for each row and column of the given grid, and an edge for each cross-braced square of the grid. They proved that the cross-braced grid is rigid if and only if this bipartite graph is connected. It follows that the minimal cross-bracings of the grid correspond to the trees connecting all vertices in the graph, and that they have exactly cross-braced squares. Any overbraced but rigid cross-bracing (with more than this number of cross-braced squares) can be reduced to a minimal cross-bracing by finding a spanning tree of its graph. More generally, the number of degrees of freedom i
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https://en.wikipedia.org/wiki/Jenny%20Baglivo
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Jenny Antoinette Baglivo (born 1948) is an American mathematician, statistician, and book author. She is retired as a professor of mathematics at Boston College, where she retains an affiliation as research professor.
Education and career
Baglivo is originally from Brooklyn, the daughter of a watch repairer and granddaughter of Italian immigrants. The only one of four siblings to attend college, she majored in mathematics at Fordham University, graduating in 1970. She went to Syracuse University for graduate study, earning a master's degree in mathematics in 1972, a second master's degree in computer and information science in 1976, and a Ph.D. in mathematics in 1976, specializing in algebraic topology. Her dissertation, Equivariant Wall Obstruction Theory, concerned Wall's finiteness obstruction, and was supervised by Douglas R. Anderson.
After completing her doctorate, she became an assistant professor of mathematics at Fairfield University, and was promoted to associate professor in 1981. While continuing to hold an affiliation at Fairfield, she also became a postdoctoral researcher at the Memorial Sloan Kettering Cancer Center from 1980 to 1982. There, she worked as a biostatistician on CT scans of brains. She moved from Fairfield to Boston College in 1986, and was promoted to full professor in 1992.
Books
Baglivo's book Incidence and Symmetry in Design and Architecture (Cambridge University Press, 1983, with Jack E. Graver) won an Alpha Sigma Nu Book Award in 1983, and has been recommended for undergraduate mathematics libraries by the Basic Library List Committee of the Mathematical Association of America.
She is also the author of Mathematica Laboratories for Mathematical Statistics: Emphasizing Simulation and Computer Intensive Methods (SIAM, 2005).
References
External links
Home page
1948 births
Living people
American people of Italian descent
People from Brooklyn
20th-century American mathematicians
21st-century American mathematicians
American women statisticians
American women mathematicians
Fordham University alumni
Syracuse University alumni
Fairfield University faculty
Boston College faculty
20th-century American women academics
21st-century American women academics
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https://en.wikipedia.org/wiki/Shahriar%20Shahriari
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Shahriar Shahriari (born May 30, 1956) is an American mathematician. He is the William Polk Russell Professor of Mathematics at Pomona College.
Early life and education
Shahriari was born on May 30, 1956, in Tehran, Iran, to Parviz and Zomorod Shahriari. He attended Oberlin College, graduating in 1977, and subsequently received his doctorate from the University of Wisconsin–Madison in 1986.
Career
Shahriari began teaching at Pomona College in 1989. In 2006, he published a calculus textbook titled Approximately Calculus.
Recognition
In 1998, Shahriari shared the Carl B. Allendoerfer Award with Dan Kalman and Robert Mena for their paper "Variations on an irrational theme—Geometry, dynamics, algebra". In 2015, he received the Mathematical Association of America's Deborah and Franklin Tepper Haimo Award for Distinguished Teaching in Mathematics, widely recognized as the top national prize for higher education math instruction.
References
External links
Pomona College faculty page
20th-century American mathematicians
Oberlin College alumni
Pomona College faculty
Living people
American people of Iranian descent
1956 births
21st-century American mathematicians
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https://en.wikipedia.org/wiki/Martha%20K.%20Smith
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Martha K. Smith is an American mathematician, mathematics educator, professor emerita in the department of mathematics, and associated professor emerita in the department of statistics and data science at the University of Texas at Austin. She made contributions to non-commutative algebra and as well as to mathematics education.
Education and career
Smith received a B.A. in mathematics (summa cum laude) from the University of Michigan in 1965, a M.S. in mathematics in 1967, and a Ph.D. in mathematics in 1970, both from the University of Chicago. Her dissertation "Group Algebras" was supervised by Israel Nathan Herstein.
After completing her doctoral studies, Smith became a G.C. Evans Instructor of mathematics at Rice University in Houston, Texas (1970–1972). She joined the faculty of the department of mathematics at Washington University in St. Louis in St. Louis, Missouri in 1972 as an assistant professor. She began her long career at the University of Texas at Austin in 1973 as an assistant professor of mathematics. She was promoted to associate professor in 1976 and to professor in 1985. She retired in 2009 and became professor emerita of mathematics in 2019. In the lates 1990s, Smith became interested in statistics and taught statistics even after she retired.
In the late 1980s, the Texas legislature abolished mathematics education degrees and it became the responsibility of collegiate mathematics departments to prepare future K–12 teachers of mathematics. Smith took on this responsibility at the University of Texas at Austin. Smith used a variety of teaching methods as well bringing technology, group work, and writing projects into the curriculum before these techniques were in vogue. She held the belief that even the weakest student is capable of learning.
Smith served on the AMS-ASA-MAA-SIAM Data Committee in the late 1970s; this is the committee that is responsible for preparing the Annual survey of the Profession. She served on various committees of the American Mathematical Society (AMS) and the Mathematical Association of America (MAA) as well as serving as a referee for numerous journals and National Science Foundation panels. In 2011, Smith was a panelist for the AWM Hay Minisymposium Panel on The mathematical education of teachers and the common core at the Joint Mathematics Meetings in New Orleans, Louisiana.
Recognition
In spring 1993, Smith received a Department of Mathematics Teaching Award at Texas.
In 1994, Smith received the Dad's Association Centennial Teaching Fellowship at Texas.
In 1999, Smith was selected by the Association for Women in Mathematics to receive the Louise Hay Award for Contributions to Mathematics Education "in recognition of her very significant contributions to mathematics education and her outstanding achievements as a teacher and scholar".
Edited collections
James W. Brewer and Martha K. Smith, Emmy Noether: A Tribute to Her Life and Work, Marcel Dekker, Monographs and Textbooks in Pur
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https://en.wikipedia.org/wiki/Leslie%20McClure
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Leslie Ain McClure is an American biostatistician. She is a Full professor of biostatistics at the Drexel University School of Public Health and was the inaugural Associate Director of Diversity for the Statistical and Applied Mathematical Sciences Institute (2017–18).
Early life and education
McClure was born Suffern, New York, and raised in Overland Park, Kansas. She earned her Bachelor of Science degree in Mathematics from the University of Kansas. During high school, she was a member of the marching band which she credits for teaching her a work/life balance. Upon completing her Bachelor of Science degree, McClure enrolled at the University of Iowa for her Master's degree in Preventive Medicine and Environmental Health and then University of Michigan for her PhD in Biostatistics.
Career
Upon completing her PhD, McClure joined the faculty in the Department of Biostatistics at the University of Alabama at Birmingham (UAB). During her tenure at the institution, she collaborated with Nalini Sathiakumar to better understand the relationship between environmental conditions observed from space and the health effects experienced on Earth. She used satellite data to measure particulate matter, ozone, and other environmental exposures, which she then used to track the effects of air quality. In 2014, McClure was invited to join the inaugural Edge of Chaos Scholars program which deals with "problems that defy easy or obvious solutions." The following year, she published a paper using data from the Reasons for Geographic and Racial Differences in Stroke (REGARDS) study which found that second hand smoke led to an increased risk of stroke by 30 percent.
After spending 11 years at UAB, McClure left the institution to become the Chair of the Department of Epidemiology and Biostatistics at the Drexel University Dornsife School of Public Health. At Drexel, McClure leads the Data Coordinating Center for the AJ Drexel Autism Institute's Connecting the Dots Study and is the PI for the Coordinating Center for the CDC-sponsored Diabetes LEAD Network. In 2017, she was appointed the inaugural Associate Director of Diversity for the Statistical and Applied Mathematical Sciences Institute., a position she held for a year. She is also the Chairperson of the Board of Directors for the National Alliance for Doctoral Studies in Mathematical Sciences.
During the COVID-19 pandemic, McClure was elected a Fellow of the Society for Clinical Trials. She is also a Fellow of the American Heart Association (Epidemiology Council) and a Fellow of the American Statistical Association. McClure was also the recipient of the Janet L. Norwood Award for Outstanding Achievement by a Woman in Statistical Sciences.
Personal life
McClure writes a blog called Stat Girl.
References
Living people
People from Kansas City, Kansas
University of Kansas alumni
University of Iowa alumni
University of Michigan alumni
Drexel University faculty
University of Alabama at Birmingham faculty
American
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https://en.wikipedia.org/wiki/2021%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201000%20m
|
The men's 1000 meter at the 2021 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 1 November 2020. There were 19 participants.
Statistics
Result
Source:
Referee: Berri de Jonge. Assistant: Rieks van Lubek Starter: Jan Rosing
Draw
References
Single Distance Championships
2021 Single Distance
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https://en.wikipedia.org/wiki/2021%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201500%20m
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The men's 1500 meter at the 2021 KNSB Dutch Single Distance Championships in Heerenveen took place at the Thialf ice skating rink on Saturday 31 October 2020. There were 18 participants.
Statistics
Result
Source:
Referee: Berri de Jonge. Assistant: Rieks van Lubek Starter: Jan Rosing
Draw
References
Single Distance Championships
2021 Single Distance
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https://en.wikipedia.org/wiki/2021%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%205000%20m
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The men's 5000 meter at the 2021 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Friday 30 October 2020. There were 16 participants.
Statistics
Result
Source:
Referee: Berri de Jonge. Assistant: Rieks van Lubek Starter: Jan Rosing
Draw
References
Single Distance Championships
2021 Single Distance
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https://en.wikipedia.org/wiki/2021%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%2010%2C000%20m
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The men's 10,000 meter at the 2021 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Sunday 1 November 2020. There were 10 participants.
Statistics
Result
Draw
Source:
Referee: Berri de Jonge. Assistant: Rieks van Lubek Starter: André de Vries
References
Single Distance Championships
2021 Single Distance
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https://en.wikipedia.org/wiki/Reid%20Strain
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Reid A. Strain Torres (born January 19, 1994) is a Puerto Rican football player who currently plays as a forward for Friska Viljor.
Career statistics
Club
Notes
International
References
External links
Reid Strain at the University of Indianapolis
1994 births
Living people
American men's soccer players
Puerto Rican men's footballers
Puerto Rican expatriate men's footballers
Puerto Rico men's international footballers
Men's association football forwards
Friska Viljor FC players
Expatriate men's footballers in Costa Rica
Expatriate men's footballers in Sweden
People from Barrington, Illinois
Soccer players from Cook County, Illinois
Sportspeople from Lake County, Illinois
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https://en.wikipedia.org/wiki/Massless%20free%20scalar%20bosons%20in%20two%20dimensions
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Massless free scalar bosons are a family of two-dimensional conformal field theories, whose symmetry is described by an abelian affine Lie algebra.
Since they are free i.e. non-interacting, free bosonic CFTs are easily solved exactly.
Via the Coulomb gas formalism, they lead to exact results in interacting CFTs such as minimal models.
Moreover, they play an important role in the worldsheet approach to string theory.
In a free bosonic CFT, the Virasoro algebra's central charge can take any complex value. However, the value is sometimes implicitly assumed. For , there exist compactified free bosonic CFTs with arbitrary values of the compactification radius.
Lagrangian formulation
The action of a free bosonic theory in two dimensions is a functional of the free boson ,
where is the metric of the two-dimensional space on which the theory is formulated, is the Ricci scalar of that space. The parameter is called the background charge.
What is special to two dimensions is that the scaling dimension of the free boson vanishes. This permits the presence of a non-vanishing background charge, and is at the origin of the theory's conformal symmetry.
In probability theory, the free boson can be constructed as a Gaussian free field. This provides realizations of correlation functions as expected values of random variables.
Symmetries
Abelian affine Lie algebra
The symmetry algebra is generated by two chiral conserved currents: a left-moving current and a right-moving current, respectively
which obey .
Each current generates an abelian affine Lie algebra . The structure of the left-moving affine Lie algebra is encoded in the left-moving current's self-OPE,
Equivalently, if the current is written as a Laurent series about the point , the abelian affine Lie algebra is characterized by the Lie bracket
The center of the algebra is generated by , and
the algebra is a direct sum of mutually commuting subalgebras of dimension 1 or 2:
Conformal symmetry
For any value of , the abelian affine Lie algebra's universal enveloping algebra has a Virasoro subalgebra with the generators
The central charge of this Virasoro subalgebra is
and the commutation relations of the Virasoro generators with the affine Lie algebra generators are
If the parameter coincides with the free boson's background charge, then the field
coincides with the free boson's energy-momentum tensor. The corresponding Virasoro algebra therefore has a geometrical interpretation as the algebra of infinitesimal conformal maps, and encodes the theory's local conformal symmetry.
Extra symmetries
For special values of the central charge and/or of the radius of compactification, free bosonic theories can have not only their symmetry, but also additional symmetries. In particular, at , for special values of the radius of compactification, there may appear non-abelian affine Lie algebras, supersymmetry, etc.
Affine primary fields
In a free bosonic CFT, all fields are
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https://en.wikipedia.org/wiki/Chrigor
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Chrigor Flores Moraes (born 13 November 2000), simply known as Chrigor, is a Brazilian footballer who plays as a forward for Portuguesa.
Career statistics
References
2000 births
Living people
People from Cachoeira do Sul
Footballers from Rio Grande do Sul
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série A players
Grêmio Esportivo Brasil players
Red Bull Bragantino II players
Red Bull Bragantino players
América Futebol Clube (MG) players
Grêmio Novorizontino players
Ituano FC players
Associação Atlética Internacional (Limeira) players
Associação Portuguesa de Desportos players
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https://en.wikipedia.org/wiki/Christophe%20Kabongo
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Christophe Kabongo (born 27 August 2003) is a Czech professional footballer who plays as a forward for FK Železiarne Podbrezová, on loan from Lommel.
Career statistics
Club
Notes
References
2003 births
Living people
Czech men's footballers
Czech expatriate men's footballers
Czech Republic men's youth international footballers
Men's association football midfielders
AC Sparta Prague players
Lommel S.K. players
FK Železiarne Podbrezová players
Czech First League players
Czech expatriate sportspeople in Belgium
Expatriate men's footballers in Belgium
Czech expatriate sportspeople in Slovakia
Expatriate men's footballers in Slovakia
Czech people of Democratic Republic of the Congo descent
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https://en.wikipedia.org/wiki/Ellen%20Maycock
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Ellen Johnston Maycock (born September 15, 1950 in Maryland) is an American mathematician and mathematics educator. She is the former Johnson Family University Professor and professor emerita of mathematics at DePauw University in Greencastle, Indiana. Her mathematical research was in functional analysis.
Education and career
In 1972, Maycock received a B.A. degree in mathematics and economics from Wellesley College in Wellesley, Massachusetts. In 1974, she received a M.S. degree in mathematics and in 1986, a Ph.D. in mathematics, both from Purdue University in West Lafayette, Indiana. Her dissertation "The Brauer Group of Graded Continuous trace -algebras was supervised by Jerome Alvin Kaminker.
After teaching at Wellesley for two years following her degree, in 1988, Maycock joined the faculty at DePauw as an assistant professor, was promoted to associate professor in 1993 and to professor in 2001. She developed a series of workshops that brought faculty from across the nation to DePauw to learn innovative teaching styles. Maycock is known for her development of creative approaches to teaching abstract algebra. She developed a course that used the software package "Exploring Small Groups" to assist students in their mastery of the concepts of abstract algebra. She also introduced computer technology in courses on Euclidean and non-Euclidean geometry and analysis.
Maycock has served on the Editorial Boards of the Mathematical Association of America (MAA) Notes and Spectrum series and the American Mathematical Society Committee on the Profession. She served on the AMS-MAA-SIAM Committee on Employment Opportunities Past Members from 2007 to 2014.
In September 2005, Maycock joined the staff of the American Mathematical Society (AMS) as an associate executive director. In that role, she was responsible for AMS meetings and professional services, programs that served AMS members, supported and improved the public image of the profession. She remained in that position until 2015, when she was replaced by T. Christine Stevens.
Maycock was on the steering committee of INGenIOuS (Investing in the Next Generation through Innovative and Outstanding Strategies), a project involving the National Science Foundation, mathematics, and statistics professional socieities. The project culminated with a workshop in 2013 that highlighted ways to increase the number of mathematics students that enter the workforce.
Recognition
Maycock was selected by DePauw to receive a University Professor Award for 2003–2007. She was honored for her sustained excellence in teaching, service, and professional accomplishments and was named Johnson Family University Professor for this period.
Books and edited collections
Ellen Maycock Parker:
Ellen J. Maycock and Allen C. Hibbard:
References
External links
Ellen J. Maycock's Author profile at MathSciNet
Living people
21st-century American mathematicians
American women mathematicians
DePauw University faculty
Purdue Univ
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https://en.wikipedia.org/wiki/2021%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Women%27s%201000%20m
|
The women's 1000 meter at the 2021 KNSB Dutch Single Distance Championships in Heerenveen took place at Thialf ice skating rink on Sunday 1 November 2020.
Statistics
Result
Source:
Referee: Wycher Bos. Assistant: Björn Fetlaar. Starter: Raymond Micka
Start 1-11-2020 16:02:00 until 1-11-2020 16:25:39
Draw
References
Single Distance Championships
2021 Single Distance
World
|
https://en.wikipedia.org/wiki/2021%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Women%27s%201500%20m
|
The women's 1500 meter at the 2021 KNSB Dutch Single Distance Championships in Heerenveen took place at Thialf ice skating rink on Friday 30 October 2020.
Statistics
Result
Source:
Referee: Wycher Bos. Starter: Raymond Micka. Assistant: Björn Fetlaar
Start: 30-10-2020 13:50:00hr. Finish: 30-10-2020 14:13:17hr
Draw
References
Single Distance Championships
2021 Single Distance
World
|
https://en.wikipedia.org/wiki/2021%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Women%27s%203000%20m
|
The women's 3000 meter at the 2021 KNSB Dutch Single Distance Championships in Heerenveen took place at Thialf ice skating rink on Saturday 31 October 2020.
Statistics
Result
Source:
Referee: Wycher Bos. Assistant: Björn Fetlaar. Starter: Raymond Micka
Draw
References
Single Distance Championships
2021 Single Distance
World
|
https://en.wikipedia.org/wiki/2021%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Women%27s%205000%20m
|
The women's 5000 meter at the 2021 KNSB Dutch Single Distance Championships in Heerenveen took place at Thialf ice skating rink on Sunday 1 November 2020.
Statistics
Result
Source:
Referee: Wycher Bos. Assistant: Björn Fetlaar Starter: Janny Smegen
Start: 14:21 hr. Finish: 15:03 hr.
Draw
References
Single Distance Championships
2021 Single Distance
|
https://en.wikipedia.org/wiki/Marilyn%20Burns%20%28mathematics%20educator%29
|
Marilyn Meinhardt Burns (born April 11, 1941) is a mathematics educator and the author of over a dozen children's books on mathematics.
Career and recognition
Burns is a 1958 graduate of the Wellington C. Mepham High School in The Bellmores, New York. After receiving a B.A. from Syracuse University in Syracuse, New York, and teaching in elementary and middle schools in Syracuse, Burns founded Math Solutions, an educational resource provider, in 1984. Burns pursued graduate studies at Syracuse University, San Francisco State University, and the University of California at Berkeley.
In 1975, the National Science Teachers Association and the Children's Book Council cited Burns' book The I Hate Mathematics! Book in "outstanding science books for children".
In 1991, the Bank Street College of Education in New York awarded Burns an honorary doctoral degree.
In 1995 the Mepham High School Alumni Association listed Burns in their Hall of Fame.
In 1996, the National Council of Supervisors of Mathematics honored Burns with the Ross Taylor/Glenn Gilbert National Leadership Award "for her influence on mathematics education".
In 1997, the Association for Women in Mathematics honored Burns, "a mathematics educator with enormous scope and influence", with the Louise Hay Award for Contributions to Mathematics Education.
In 2010, the Association of Educational Publishers inducted Burns into the Educational Publishing Hall of Fame.
In 2012, the Bill & Melinda Gates Foundation awarded Math Solutions a $2.2 million grant "to fund the development of a Web-based diagnostic tool that will help middle school teachers assess students' computational and problem-solving skills". The end product of this grant was Math Reasoning Inventory, an assessment tool developed by Burns in collaboration with K–12 teachers, which is available without cost to teachers and administrators.
Selected books
References
External links
Marilyn Burns, Math Solutions
1941 births
Living people
Syracuse University alumni
Mathematics educators
20th-century American educators
21st-century American educators
21st-century American women educators
American women business executives
Educators from New York (state)
20th-century American women educators
|
https://en.wikipedia.org/wiki/Marilyn%20Burns%20%28disambiguation%29
|
Marilyn Burns may refer to:
Marilyn Burns (1949–2014), American actress
Marilyn Burns (mathematics educator) (born 1941), American mathematics educator and children's mathematics book author
Marilyn Burns (politician) (born c. 1956), Canadian politician and leader of the Alberta Advantage Party
|
https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20mainland%20China
|
This article presents official statistics gathered during the COVID-19 pandemic in mainland China.
The case count in mainland China only includes symptomatic cases. It excludes patients who test positive but do not have symptoms, of which there were 889 as of 11 February 2020. Asymptomatic infections are reported separately. It is also reported that there were more than 43,000 by the end of February 2020. On 17 April, following the Wuhan government's issuance of a report on accounting for COVID-19 deaths that occurred at home that went previously unreported, as well as the subtraction of deaths that were previously double-counted by different hospitals, the NHC retrospectively revised their cumulative totals dating to 16 April, adding 325 cumulative cases and 1,290 deaths.
Around March 2020, there was speculation that China's COVID numbers were deliberately inaccurate, but as of 2021, China's COVID elimination strategy was considered to have been successful and its statistics were considered to be accurate.
By December 2022, the Chinese central government had changed its definition of reported death statistics to only include cases in which COVID-19 directly caused respiratory failure, which led to skepticism by health experts of the government's total death count. The same month, the municipal health chief of Qingdao reported "between 490,000 and 530,000" new COVID-19 cases per day.
China was part of a small group of countries such as Taiwan, Australia, New Zealand, and Singapore that pursued a zero-COVID strategy. The Chinese government's strategy involved extensive testing, mask wearing, temperature checks, ventilation, contact tracing, quarantines, isolation of infected people, and heavy restrictions in response to local outbreaks.
On December 25, 2022, the Chinese government's National Health Commission announced that it would no longer publish daily COVID-19 data. In January 2023, the World Health Organization stated, "We believe that the current numbers being published from China under-represent the true impact of the disease in terms of hospital admissions, in terms of ICU admissions, and particularly in terms of deaths."
Timeline
Charts
2020 cumulative and daily cases graph
Data is from the Chinese National Health Commission.
New cases per day
Deaths per day
Recoveries per day
By province
By city
Economic Performance
Notes
References
statistics
China
|
https://en.wikipedia.org/wiki/Dionis%20%C3%87ikani
|
Dionis Çikani (born 10 March 1999) is a Greek professional footballer who plays as a midfielder for Drenica, on loan from Partizani Tirana.
Career statistics
Club
Notes
References
1999 births
Living people
Footballers from Athens
Greek men's footballers
Greek expatriate men's footballers
Albanian men's footballers
Albanian expatriate men's footballers
Men's association football midfielders
Tercera División players
Kategoria e Parë players
CF Torre Levante players
FK Partizani Tirana players
KF Drenica players
Greek expatriate sportspeople in Spain
Albanian expatriate sportspeople in Spain
Expatriate men's footballers in Spain
Albanian expatriate sportspeople in Kosovo
Expatriate men's footballers in Kosovo
Albanians in Greece
|
https://en.wikipedia.org/wiki/Joanna%20Masingila
|
Joanna Osborne Masingila (born 1960) is an American mathematics educator. She served as the dean of the School of Education at Syracuse University from 2015 to 2021, Laura J. and L. Douglas Meredith Professor for Teaching Excellence, and a professor of mathematics and mathematics education at Syracuse.
Education and career
Masingila is originally from Oregon, and moved to Kansas as a child. She was a student at Hesston College, and graduated from Goshen College in 1982, with a bachelor's degree in mathematics. After earning a master's degree in mathematics education from Indiana University–Purdue University Indianapolis in 1987, she completed a Ph.D. in mathematics education at Indiana University Bloomington in 1992. Her dissertation, Mathematics Practice and Apprenticeship in Carpet Laying: Suggestions for Mathematics Education, was supervised by Frank K. Lester Jr.
While completing her graduate education, Masingila worked for six years as a secondary-school mathematics teacher. She joined the Syracuse University faculty in 1992, and was named Laura J. and L. Douglas Meredith Professor for Teaching Excellence in 2003. After becoming interim dean of education in 2014, she was named dean in 2015.
Personal life and service
Masingila's husband, Adamson (1956-2021), was from Kenya and also studied at Hesston College and Goshen College. In 1998 she traveled to Kenyatta University in Kenya with her family as a Fulbright Scholar, and she has continued to maintain connections with Kenya both in her academic work and through volunteer work with her church, including exchange programs in which Syracuse students visit rural schools in Kenya and Kenyatta students travel to Syracuse for additional study.
Masingila served as president of the New York Association of Colleges for Teacher Education from 2016-2018 and then past present from 2018-2020.
In 2020, Masingila was appointed to the New York State Professional Standards and Practices Board for Teaching.
References
External links
1960 births
Living people
American educational theorists
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Mathematics educators
Goshen College alumni
Indiana University–Purdue University Indianapolis alumni
Indiana University Bloomington alumni
Syracuse University faculty
20th-century American women
21st-century American women
|
https://en.wikipedia.org/wiki/Mirrors%20and%20Reflections
|
Mirrors and Reflections: The Geometry of Finite Reflection Groups is an undergraduate-level textbook on the geometry of reflection groups. It was written by Alexandre V. Borovik and Anna Borovik and published in 2009 by Springer in their Universitext book series. The Basic Library List Committee of the Mathematical Association of America has recommended its inclusion in undergraduate mathematics libraries.
Topics
Mirrors and Reflections is divided into five major parts, with two appendices. The first part provides background material in affine geometric spaces, geometric transformations,, arrangements of hyperplanes,, and polyhedral cones. The second part introduces the definitions of reflection systems and reflection groups, the special case of dihedral groups, and root systems.
Part III of the book concerns Coxeter complexes, and uses them as the basis for some group theory of reflection groups, including their length functions and parabolic subgroups. Part IV, "the highlight in this book", proves the classification of finite reflection groups and of root systems. The final part of the book studies in more detail and through more elementary methods the three-dimensional finite reflection groups and the symmetries of the regular icosahedron. Appendices provide suggestions for mathematical visualization, and list hints and solutions for exercises.
Audience and reception
Mirrors and Reflections is aimed at undergraduate mathematics students, and uses an intuitive and heavily visual approach suitable for that level. its readers are expected to already have a solid background in linear algebra and some group theory. Reviewer Gizem Karaali recommends the book, both as a textbook for a "capstone" undergraduate course, and as individual reading for students interested in this topic.
Related works
There are several other standard textbooks on reflection groups, including Groupes et algèbres de Lie, Chapitres 4, 5 et 6 (Bourbaki, 1968), Finite Reflection Groups (L. C. Grove and C. T. Benson, 1985), and Reflection Groups and Coxeter Groups (James E. Humphreys, 1990). However, these take a more algebraic and less geometric view of the subject than Mirrors and Reflections, and are less accessible to undergraduates.
References
Mathematics textbooks
2009 non-fiction books
Reflection groups
|
https://en.wikipedia.org/wiki/Convergence%20of%20Probability%20Measures
|
Convergence of Probability Measures
is a graduate textbook in the field of mathematical probability theory.
It was written by Patrick Billingsley and published by Wiley in 1968. A second edition in 1999 both simplified its treatment of previous topics and updated the book for more recent developments. The Basic Library List Committee of the Mathematical Association of America has recommended its inclusion in undergraduate mathematics libraries. Readers are expected to already be familiar with both the fundamentals of probability theory and the topology of metric spaces.
The subject weak convergence of measures involves
rigorous study of how a continuous time (or space) stochastic process arises as a
scaling limit of a discrete time (or space) process.
A fundamental example, Donsker's theorem, is convergence of
rescaled random walk to Brownian motion.
The mathematical theory, combining probability and functional analysis,
was first developed in the 1950s by Skorokhod and Prokhorov, but was regarded as a specialized advanced topic. This book's contribution was a self-contained treatment at a useful basic level of abstraction, that of Polish space. It covers key theory tools such as Prokhorov's theorem on relative compactness of measures and the Skorokhod space of càdlàg functions. The second edition includes
Skorokhod's representation theorem. Though criticized by Dudley for insufficient generality, a reviewer wrote "the subject matter is of great current interest and the exposition is lucid and elegant." By being widely accessible it was for many years the standard reference, as evidenced by over 22,000 citations on Google Scholar. In particular, the subject became a highly valuable tool within burgeoning fields of applied probability such as queueing theory and empirical process theory in statistics.
References
Mathematics textbooks
1968 non-fiction books
1999 non-fiction books
Probability theory
|
https://en.wikipedia.org/wiki/Comodule%20over%20a%20Hopf%20algebroid
|
In mathematics, at the intersection of algebraic topology and algebraic geometry, there is the notion of a Hopf algebroid which encodes the information of a presheaf of groupoids whose object sheaf and arrow sheaf are represented by algebras. Because any such presheaf will have an associated site, we can consider quasi-coherent sheaves on the site, giving a topos-theoretic notion of modules. Duallypg 2, comodules over a Hopf algebroid are the purely algebraic analogue of this construction, giving a purely algebraic description of quasi-coherent sheaves on a stack: this is one of the first motivations behind the theory.
Definition
Given a commutative Hopf-algebroid a left comodule pg 302 is a left -module together with an -linear mapwhich satisfies the following two properties
(counitary)
(coassociative)
A right comodule is defined similarly, but instead there is a mapsatisfying analogous axioms.
Structure theorems
Flatness of Γ gives an abelian category
One of the main structure theorems for comodulespg 303 is if is a flat -module, then the category of comodules of the Hopf-algebroid is an Abelian category.
Relation to stacks
There is a structure theorempg 7 relating comodules of Hopf-algebroids and modules of presheaves of groupoids. If is a Hopf-algebroid, there is an equivalence between the category of comodules and the category of quasi-coherent sheaves for the associated presheaf of groupoidsto this Hopf-algebroid.
Examples
From BP-homology
Associated to the Brown-Peterson spectrum is the Hopf-algebroid classifying p-typical formal group laws. Notewhere is the localization of by the prime ideal . If we let denote the idealSince is a primitive in , there is an associated Hopf-algebroid There is a structure theorem on the Adams-Novikov spectral sequence relating the Ext-groups of comodules on to Johnson-Wilson homology, giving a more tractable spectral sequence. This happens through an equivalence of categories of comodules of to the category of comodules of giving the isomorphismassuming and satisfy some technical hypothesespg 24.
See also
Adams spectral sequence
Steenrod algebra
References
Hopf algebras
Homotopical algebra
Algebraic topology
Algebraic geometry
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https://en.wikipedia.org/wiki/Geometric%20rigidity
|
In discrete geometry, geometric rigidity is a theory for determining if a geometric constraint system (GCS) has finitely many -dimensional solutions, or frameworks, in some metric space. A framework of a GCS is rigid in -dimensions, for a given if it is an isolated solution of the GCS, factoring out the set of trivial motions, or isometric group, of the metric space, e.g. translations and rotations in Euclidean space. In other words, a rigid framework of a GCS has no nearby framework of the GCS that is reachable via a non-trivial continuous motion of that preserves the constraints of the GCS. Structural rigidity is another theory of rigidity that concerns generic frameworks, i.e., frameworks whose rigidity properties are representative of all frameworks with the same constraint graph. Results in geometric rigidity apply to all frameworks; in particular, to non-generic frameworks.
Geometric rigidity was first explored by Euler, who conjectured that all polyhedra in -dimensions are rigid. Much work has gone into proving the conjecture, leading to many interesting results discussed below. However, a counterexample was eventually found. There are also some generic rigidity results with no combinatorial components, so they are related to both geometric and structural rigidity.
Definitions
The definitions below, which can be found in, are with respect to bar-joint frameworks in -dimensional Euclidean space, and will be generalized for other frameworks and metric spaces as needed. Consider a linkage , i.e. a constraint graph with distance constraints assigned to its edges, and the configuration space consisting of frameworks of . The frameworks in consist of maps that satisfy
for all edges of . In other words, is a placement of the vertices of as points in -dimensions that satisfy all distance constraints . The configuration space is an algebraic set.
Continuous and trivial motions. A continuous motion is a continuous path in that describes the physical motion between two frameworks of that preserves all constraints. A trivial motion is a continuous motion resulting from the Euclidean isometries, i.e. translations and rotations. In general, any metric space has a set of trivial motions coming from the isometric group of the space.
Local rigidity. A framework of a GCS is locally rigid, or just rigid, if all its continuous motions are trivial.
Testing for local rigidity is co-NP hard.
Rigidity map. The rigidity map takes a framework and outputs the squared-distances between all pairs of points that are connected by an edge.
Rigidity matrix. The Jacobian, or derivative, of the rigidity map yields a system of linear equations of the form
for all edges of . The rigidity matrix is an matrix that encodes the information in these equations. Each edge of corresponds to a row of and each vertex corresponds to columns of . The row corresponding to the edge is defined as follows.
Infinitesimal motion. An
|
https://en.wikipedia.org/wiki/Francesca%20Biagini
|
Francesca Biagini (born 31 July 1973) is a German and Italian mathematician specializing in mathematical finance, stochastic calculus, and probability theory. Topics in her research include fractional Brownian motion and portfolio optimization for inside traders. She is a professor of applied mathematics and vice president for international affairs and diversity at Ludwig Maximilian University of Munich, and president of the Bachelier Finance Society.
Education and career
Biagini was a high school student in Pistoia, and earned a laurea in mathematics in 1996 from the University of Pisa, under the mentorship of Margherita Galbiati. She completed a doctorate in 2001 at the Scuola Normale Superiore di Pisa, with the dissertation Quadratic hedging approach for interest rate models with stochastic volatility supervised by Maurizio Pratelli.
She worked as an assistant professor at the University of Bologna from 1999 to 2005, when she moved to Ludwig Maximilian University of Munich as an associate professor. After declining an offer to become a chaired professor at the University of Hanover in 2008, she was given a chair as full professor of applied mathematics at the University of Munich in 2009.
She became vice president for international affairs and diversity at the University of Munich, and is president of the Bachelier Finance Society for the 2020–2021 term.
Books
With Massimo Campanino, Biagini is the coauthor of Elementi di Probabilità e Statistica (Springer, 2005), an Italian-language textbook on probability theory and statistics translated into English as Elements of Probability and Statistics: Introduction to Probability with the De Finetti's Approach and to Bayesian Statistics (Springer, 2016). With Yaozhong Hu, Bernt Øksendal, and Tusheng Zhang, she is the coauthor of the monograph Stochastic Calculus for Fractional Brownian Motion and Applications (Springer, 2008).
Recognition
Biagini was awarded the Princess Therese of Bavaria Prize, an award for outstanding women scientists at Ludwig Maximilian University of Munich, in 2019.
References
External links
Home page
1973 births
Living people
20th-century Italian mathematicians
Italian women mathematicians
Probability theorists
University of Pisa alumni
Scuola Normale Superiore di Pisa alumni
Academic staff of the University of Bologna
Academic staff of the Ludwig Maximilian University of Munich
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https://en.wikipedia.org/wiki/Guilherme%20No%C3%A9
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Guilherme Afonso Noé (5 April 1992 – 24 January 2021) was a Brazilian footballer. He died in the 2021 Palmas FR plane crash.
Career statistics
Source:
Notes
References
1992 births
2021 deaths
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Sport Club Corinthians Paulista players
Grêmio Osasco Audax Esporte Clube players
Sport Club Internacional players
Audax Rio de Janeiro Esporte Clube players
Tombense Futebol Clube players
Tupi Football Club players
Mirassol Futebol Clube players
Batatais Futebol Clube players
Associação Atlética Caldense players
Rio Preto Esporte Clube players
São Bernardo Futebol Clube players
Ipatinga Futebol Clube players
Palmas Futebol e Regatas players
Nacional Atlético Clube (SP) players
Esporte Clube Democrata players
Victims of aviation accidents or incidents in Brazil
Victims of aviation accidents or incidents in 2021
Footballers from São Paulo
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https://en.wikipedia.org/wiki/Ranule
|
Ranule Gomes dos Reis (14 May 1993 – 24 January 2021), commonly known as Ranule, was a Brazilian footballer. He died in the 2021 Palmas FR plane crash.
Career statistics
Club
Notes
References
1993 births
2021 deaths
Brazilian men's footballers
Men's association football goalkeepers
Campeonato Brasileiro Série D players
Democrata Futebol Clube players
Villa Nova Atlético Clube players
Clube Atlético Itapemirim players
Tupi Football Club players
Associação Atlética Portuguesa (RJ) players
Sampaio Corrêa Futebol e Esporte players
Palmas Futebol e Regatas players
Victims of aviation accidents or incidents in Brazil
Victims of aviation accidents or incidents in 2021
Footballers from Minas Gerais
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https://en.wikipedia.org/wiki/Themis%20Patrinos
|
Themistoklis Athanasios "Themis" Patrinos (; born 18 January 2001) is a Greek professional footballer who plays as a forward for Super League 2 club Almopos Aridea.
Career statistics
Club
References
2001 births
Living people
Greece men's youth international footballers
Super League Greece 2 players
Ergotelis F.C. players
Men's association football forwards
Footballers from Athens
Greek men's footballers
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https://en.wikipedia.org/wiki/Rodrigo%20Bronzatti
|
Rodrigo José Bronzatti (born 6 December 1986) is a Brazilian professional footballer who plays as an centre-back for Nicaraguan club Real Estelí.
Career statistics
References
External links
1986 births
Living people
Men's association football defenders
Brazilian men's footballers
People from Ijuí
Brazilian expatriate men's footballers
Expatriate men's footballers in Mexico
Brazilian expatriate sportspeople in Mexico
Expatriate men's footballers in Nicaragua
Brazilian expatriate sportspeople in Nicaragua
Esporte Clube São Luiz players
Associação Chapecoense de Futebol players
Celaya F.C. footballers
Tecos F.C. footballers
Dorados de Sinaloa footballers
Clube Atlético Penapolense players
Sociedade Esportiva e Recreativa Caxias do Sul players
FC Cascavel players
Sociedade Esportiva do Gama players
Potros UAEM footballers
Real Estelí FC players
Campeonato Brasileiro Série C players
Ascenso MX players
Campeonato Paranaense players
Nicaraguan Primera División players
Footballers from Rio Grande do Sul
Brazilian people of Italian descent
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https://en.wikipedia.org/wiki/Bolivia%20national%20football%20team%20results%20%281980%E2%80%931999%29
|
This page details the match results and statistics of the Bolivia national football team from 1980 to 1999.
Key
Key to matches
Att.=Match attendance
(H)=Home ground
(A)=Away ground
(N)=Neutral ground
Key to record by opponent
Pld=Games played
W=Games won
D=Games drawn
L=Games lost
GF=Goals for
GA=Goals against
Results
Bolivia's score is shown first in each case.
Record by opponent
References
Bolivia national football team results
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https://en.wikipedia.org/wiki/Dan%20Burghelea
|
Dan Burghelea (born July 30, 1943) is a Romanian-American mathematician, academic, and researcher. He is an Emeritus Professor of Mathematics at Ohio State University.
Burghelea has contributed to a number of mathematical domains such as geometric and algebraic topology (including differential topology, algebraic K-theory, cyclic homology), global and geometric analysis (including topology of infinite dimensional manifolds, spectral geometry, dynamical systems), and applied topology (including computational topology).
Early life and education
Burghelea was born in Râmnicu Vâlcea, Romania, in 1943, where he attended Alexandru Lahovari National College (at that time lyceum Nicolae Bălcescu). He attended the University of Bucharest and graduated in mathematics in 1965, with a diploma-thesis in algebraic topology. He obtained his Ph.D. in 1968 from the Institute of Mathematics of the Romanian Academy (IMAR) with a thesis on Hilbert manifolds.
In 1972, Burghelea was awarded the title of Doctor Docent in sciences by the University of Bucharest, making him the youngest recipient of the highest academic degree in Romania.
Career
After a brief military service, Burghelea started his career in 1966 as a junior researcher at IMAR. He was promoted to Researcher in 1968, and to Senior Researcher in 1970. After the dissolution of IMAR, he was employed by the Institute of Nuclear Physics (IFA-Bucharest) and National Institute for Scientific Creation (INCREST) from 1975 until 1977. Burghelea left Romania for the United States in 1977, and in 1979 he joined the Ohio State University as a professor of mathematics. He retired in 2015, and remains associated with this university as an Emeritus Professor.
During his career he has been a visiting professor at numerous universities from Europe and the United States, including the University of Paris, the University of Bonn, ETH Zurich, the University of Chicago, and research institutions including the Institute for Advanced Study, Institut des Hautes Études Scientifiques, Max Planck Institute for Mathematics, Mathematical Sciences Research Institute; and invited speaker to many conferences in Europe, North and South America, and Asia and organized/co-organized workshops and conferences in Topology and Applications in Europe and the United States. He has significantly influenced the orientation of the geometry-topology research in Romania.
Research
Burghelea has worked in algebraic, differential, geometrical topology, differential and complex geometry, commutative algebra, global and geometric analysis, and applied topology.
His most significant contributions are on Topology of infinite dimensional manifolds; Homotopy type of the space of homeomorphisms and diffeomorphisms of compact smooth manifolds; Algebraic K-theory and cyclic homology of topological spaces, groups (including simplicial groups) and commutative algebras (including differential graded commutative algebras); Zeta-regularized determinants of elli
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https://en.wikipedia.org/wiki/Helena%20Pato
|
Helena Pato (born 19 April 1939) was a mathematics teacher, a communist opponent of Portugal's Estado Novo regime and a union leader. She was one of the founders of the Women's Democratic Movement in opposition to the Estado Novo and was held as a political prisoner for 6 months. She has authored three books on her experiences at that time and has also written books on education.
Early life
Maria Helena Martins dos Santos Pato Noales Rodrigues was born in 1939 in Mamarrosa, in the municipality of Oliveira do Bairro in the Aveiro District of Portugal, the daughter of a primary school teacher and an agronomist. She grew up in the Portuguese capital of Lisbon with her parents and twin brothers. At school she recalls being taught and influenced by Maria de Lourdes Pintasilgo, a future Portuguese prime minister. In 1956, she joined the Faculty of Sciences at the University of Lisbon. With left-wing views obtained from her father, and having experienced poverty at first hand while working with the Society of Saint Vincent de Paul on Sundays, her political activity began at the university when she joined the youth wing of the Movement of Democratic Unity (MUD), a quasi-legal platform of democratic organizations that opposed the Estado Novo. She was also the president of the Students' Association of the Faculty of Sciences in 1960. While at university, she was friendly with Paulo Jorge, a future foreign minister of Angola, with whom she discussed anti-colonialism and played table tennis.
In May 1962 she was briefly arrested following a large student protest. In the same year she followed into exile in Paris her husband, Alfredo Nolaes, a journalist and student leader, who she had married in 1960. Nolaes, who would die of lymphoma in 1965, had been previously arrested in 1958 by the PIDE, the International and State Defence Police, (), which was an agency nominally in charge of immigration and emigration control and internal and external State security, but which over time came to be known for its secret police activities. The PIDE permitted him to return to Portugal only when the doctors who treated him declared in writing that he was only a month from death. In Paris, they had met with other communist exiles, such as Maria Lamas, António José Saraiva and Stella Piteira Santos.
Arrest
Pato had joined the Portuguese Communist Party in 1962, having waited some time to be accepted as a member, because of the need to prove her loyalty to the party. Returning to Portugal after her husband's death, she was part of the early efforts to establish the National Commission for Relief for Political Prisoners (Comissão Nacional de Socorro aos Presos Políticos - CNSPP), together with Maria Eugénia Varela Gomes, Aida Paula and others. They collected money for the prisoners and organised petitions for their release. She, herself, was arrested in June 1967 by the PIDE which had intercepted a phone call from another communist party member asking for her help to dispose
|
https://en.wikipedia.org/wiki/1976%E2%80%9377%20Rochdale%20A.F.C.%20season
|
The 1976–77 season saw Rochdale compete in their 3rd consecutive season in the Football League Fourth Division
Statistics
|}
Final League Table
Competitions
Football League Fourth Division
F.A. Cup
League Cup
References
Rochdale A.F.C. seasons
Rochdale
|
https://en.wikipedia.org/wiki/South%20Africa%20national%20soccer%20team%20results%20%281947%E2%80%931955%29
|
This page details the match results and statistics of the South Africa national football team from 1947 to 1955.
Results
South Africa's score is shown first in each case.
References
South Africa national soccer team results
|
https://en.wikipedia.org/wiki/Walter%20Marciano
|
Walter Marciano de Queirós (15 September 1931 – 21 June 1961) was a Brazilian footballer. He was capped seven times by Brazil. He died in a car crash in 1961.
Career statistics
Club
Notes
International
References
1931 births
1961 deaths
Brazilian men's footballers
Brazilian expatriate men's footballers
Brazil men's international footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
La Liga players
Associação Desportiva São Caetano players
Santos FC players
CR Vasco da Gama players
Valencia CF players
Brazilian expatriate sportspeople in Spain
Expatriate men's footballers in Spain
Footballers from Santos, São Paulo
|
https://en.wikipedia.org/wiki/Aleksis%20Kiven%20katu%20%28Tampere%29
|
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Aleksis Kiven katu is a north–south street in the center of Tampere, Finland, in the districts of Tammerkoski and Nalkala. The street runs along the western edge of Tampere Central Square, and its southern end extends to Laukontori. At the north end of the street is Satakunnankatu. Other cross streets are Puutarhakatu, Kauppakatu, Hämeenkatu and Hallituskatu.
Aleksis Kiven katu, which is named after Aleksis Kivi, the Finnish national author, is one of the most important streets in Tampere, both in terms of location and status. Along it are, among other things, the city's most important administrative buildings, the Tampere City Central Office and the Tampere City Hall.
On the pedestrian section of Aleksis Kiven katu is Radoslaw Gryta's 19-piece work of art Kivikirjasto (2002), which consists mainly of poetic and prose texts carved into granite tiles. They are quotes from works by writers who have lived and worked in Tampere, of which Yrjö Jylhä, Viljo Kajava, Väinö Linna, Eeva-Liisa Manner, Erno Paasilinna, Kalle Päätalo, F. E. Sillanpää and Lauri Viita are represented.
References
Streets in Tampere
Aleksis Kivi
|
https://en.wikipedia.org/wiki/Bert%20Waits
|
Bert Kerr "Hank" Waits II was an American mathematician and professor at The Ohio State University where he taught in the Mathematics Department from 1961 to 1991. He was also a consultant to Texas Instruments, Education Technology Division, and a mathematics textbook author.
In 1986 Bert Waits and Franklin Demana founded the international network Teachers Teaching with Technology (T³), followed by the annual International Conference on Technology in Collegiate Mathematics (ICTCM), and in 1993 the European biennial International Conference on Technology in Mathematics Teaching (ICTMT)
His mantra was ’’The power of visualization’’ which he shared in over 200 invitation lectures worldwide from 1988 to 2006.
Publications (selection)
Precalculus: Graphical, Numerical, Algebraic, Pearson, 2010,
Calculus: Graphical, Numerical, Algebraic, Prentice Hall, 2021,
Geometry, Holt McDougal, 2011,
References
1940 births
2014 deaths
Ohio State University alumni
20th-century American mathematicians
American textbook writers
Ohio State University faculty
|
https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20Argentina
|
This article presents official statistics gathered during the COVID-19 pandemic in Argentina. The National Ministry of Health publishes official numbers every night.
Since 12 March 2020, contrasted data between the numbers reported by the provincial ministries and the total number provided by the national Ministry of Health show differences. This is because the ministries are giving their reports at different times throughout the day and also to different criteria regarding the counting of infected: by district of hospitalization or district of residence.
On 27 September 2020, the Ministry of Health of the Province of Buenos Aires (the most populated one) reported more than 3,500 extra deaths that were missed in previous reports. The provincial government called this a "re-categorization", and presented a new data entry system which —according to Provincial Health Minister Daniel Gollán— would avoid future under-reporting and data criticism. The deaths were later included in the national report of 1 October 2020.
On 9 September 2021, by request of the 24 jurisdictions and because the manual loading of data from discharges of patients generates an overload in the epidemiological surveillance system, a change was applied in the algorithm for classificacion of active/non-active cases in the National Health Surveillance System, in which cases not classified as deceased and with more than 90 days elapsed from notification date became classified as non-active.
Model-based simulations for Argentina indicate that the 95% confidence interval for the time-varying reproduction number R exceeded 1.0 from April to July 2020, after which it diminished to below 1.0 in October and November 2020.
By province
Maps
Progression charts
Cumulative cases
Nationwide
The charts show the development of the pandemic starting from 1 March 2020, representing changes in net number of cases on a daily basis, based on the number of cases reported in the National Ministry of Health's daily reports.
By province
The charts show the development of the pandemic starting from 1 March 2020, representing changes in net number of cases on a daily basis, based on the number of cases reported in the daily reports by each province.
Daily cases
Medical care
The charts show the development of ICU beds occupation related to the pandemic starting from 24 June 2020, representing changes in net number of beds occupation on a daily basis, based on the numbers reported in the National Ministry of Health's daily reports.
Vaccine distribution
The charts show the development of vaccination in Argentina starting from 6 January 2021, based on the National Ministry of Health's reports.
Demographics
See also
COVID-19 pandemic by country
COVID-19 pandemic in South America
Timeline of the COVID-19 pandemic in Argentina
2020 in Argentina
2021 in Argentina
References
External links
COVID-19 Global Cases and historical data by Johns Hopkins University.
COVID-19 Cases in Argenti
|
https://en.wikipedia.org/wiki/Itay%20Neeman
|
Itay Neeman (born 1972) is a set theorist working as a professor of mathematics at the University of California, Los Angeles. He has made major contributions to the theory of inner models, determinacy and forcing.
Early life and education
Neeman was born in 1972 in Safed, Israel. After studying mathematics at King's College London and the University of Oxford, he earned his Ph.D. at the University of California, Berkeley, in 1996, under the supervision of John R. Steel.
Recognition
Neeman won a CAREER Award in 2001. He was an invited speaker at the International Congress of Mathematicians in 2006. In 2012, the Simons Foundation named Neeman as one of their Simons Fellows, in the inaugural year of the Simons Fellows program.
In 2019 he was awarded the Hausdorff Medal, by the European Set Theory Society. The award cited three of his papers for their work on "iterating forcing using side conditions and the tree property" as having been the most significant contribution to set theory in the previous five years.
Selected publications
.
. One of the papers cited for Neeman's Hausdorff Medal.
. One of the papers cited for Neeman's Hausdorff Medal.
. One of the papers cited for Neeman's Hausdorff Medal.
References
External links
Home page at UCLA
Living people
1972 births
21st-century Israeli mathematicians
Set theorists
University of California, Los Angeles faculty
Hausdorff Medal winners
Israeli emigrants to the United States
Israeli expatriates in the United Kingdom
Alumni of King's College London
Alumni of the University of Oxford
University of California, Berkeley alumni
|
https://en.wikipedia.org/wiki/Katherine%20Puckett%20Layton
|
Katherine Puckett Layton is an American mathematics educator and the author of mathematics textbooks.
Education and career
Layton received a bachelor's degree in mathematics from the University of California at Los Angeles (UCLA) and later obtained a master's degree in education from Harvard University. In 1960, shortly after graduating from UCLA, Layton began her long teaching career at Beverly Hills High School in Beverly Hills, California. During the seventies, Layton served as chair of the mathematics department and was involved with the students both in the classroom and through Mu Alpha Theta, the honor society for high schools and two-year colleges. Layton served as visiting lecturer at Clemson University in Clemson, South Carolina and from 1986–1987, in the UCLA mathematics department. After retiring from Beverly Hills High School in 1999. Layton served two years as a distinguishe educator at the UCLA Graduate School of Education.
Layton made two trips to China to evaluate educational efforts in that country. Findings of the second trip were presented at the convention of the National Council of Teachers of Mathematics (NCTM) at the Cervantes Convention Center in St. Louis, Missouri; Layton was one of the panelists that presented the conclusions of the envoy. Layton was a member of the National Board of Professional Teaching Standards in 1989, when they began planning to issue teaching certificates to qualified teachers. The program was designed to measure "expertise in 29 areas ranging from childhood development to foreign languages".
Layton, a longtime member of the NCTM, was an invited speaker of more than 22 annual meetings and numerous regional meetings. She served on several committees of the Mathematical Association of America (MAA) and was an invited speaker at six annual MAA meetings. In addition to serving on the board of the National Board of Professional Teaching Standards, Layton served as a member of the National Board for Professional Teaching Standards, the College Entrance Examination Board, and the Mathematical Science Education Board.
Recognition
In 1990, Layton was honored for exemplary teaching with the Presidential Award for Teaching Excellence. The award is sponsored by the National Science Foundation and honors two science and two mathematics teachers from each state in the U.S. In 2003, the Association for Women in Mathematics (AWM) recognized Layton for "her significant contributions to mathematics education, her outstanding achievements as a teacher and scholar, and her role in bridging mathematics education communities" by selecting her to receive the 2003 Louise Hay Award for Contributions to Mathematics Education. In that same year, Layton was chosen as the AWM/MAA Falconer Lecturer; the title of her lecture was "What I Learned in Forty Years in Beverly Hills 90212". The Etta Z. Falconer Lecture, which includes both the lecture and an award, honors "women who have made distinguished contributions to
|
https://en.wikipedia.org/wiki/Pavel%20Bergaglio
|
Pavel Estefan Bergaglio Cruz (born March 2000) is an Italian professional footballer who plays as a defender for Cibao.
Career statistics
Club
Notes
References
2000 births
Living people
Italian men's footballers
Dominican Republic men's footballers
Men's association football defenders
Cibao FC players
Place of birth missing (living people)
|
https://en.wikipedia.org/wiki/Enzo%20Guzm%C3%A1n
|
Enzo Rafael Guzmán Espinal (born 2 August 2002) is a Dominican professional footballer who plays as a goalkeeper for Cibao.
Career statistics
Club
Notes
References
2002 births
Living people
Dominican Republic men's footballers
Men's association football midfielders
Cibao FC players
|
https://en.wikipedia.org/wiki/Kennan%20Sep%C3%BAlveda
|
Kennan Jesús Sepúlveda Acevedo (born 8 February 2002) is a Chilean footballer who last played as a forward for Santiago Wanderers.
Career statistics
Club
Notes
References
2002 births
Living people
Footballers from Valparaíso
Chilean men's footballers
Chile men's youth international footballers
Men's association football forwards
Santiago Wanderers footballers
Primera B de Chile players
Chilean Primera División players
|
https://en.wikipedia.org/wiki/Eder%20Gonz%C3%A1lez
|
Eder González Tortella (born 7 January 1997) is a Spanish professional footballer who plays as a midfielder for Greek Super League club Atromitos.
Career statistics
Club
Honours
Csíkszereda
Liga III: 2018–19
Sepsi OSK
Cupa României: 2021–22
References
External links
1997 births
Living people
Footballers from Palma de Mallorca
Spanish men's footballers
Spanish expatriate men's footballers
Spanish expatriate sportspeople in Romania
Spanish expatriate sportspeople in Greece
Expatriate men's footballers in Romania
Expatriate men's footballers in Greece
Men's association football midfielders
RCD Mallorca B players
Terrassa FC footballers
UE Cornellà players
Segunda División B players
Tercera División players
Liga I players
Liga II players
Liga III players
Super League Greece players
FK Csíkszereda Miercurea Ciuc players
Sepsi OSK Sfântu Gheorghe players
Atromitos F.C. players
|
https://en.wikipedia.org/wiki/Beno%C3%AEt%20Parnaudeau
|
Benoit Parnaudeau (born 14 July 1972) is a Canadian-born French sailor.
Biography
He was born in Sherbrooke, Quebec, but grow up living in La Rochelle, and has a bachelor's degree in mathematics.
He has been heavily involved in the offshore scene before getting his break as a skipper as he prepared boats of Isabelle Autissier, Christophe Auguin, Didier Munduteguy and more.
He completed in the 2004-2005 Vendee Globe.
In 2005 he built a Class 40 for the Route du Rhum called Bio-Forer planning Gardens. He finished 14th in class.
Career highlights
References
1972 births
Living people
Canadian emigrants to France
French male sailors (sport)
IMOCA 60 class sailors
French Vendee Globe sailors
Canadian Vendee Globe sailors
2004 Vendee Globe sailors
Vendée Globe finishers
Single-handed circumnavigating sailors
Sportspeople from La Rochelle
Sportspeople from Sherbrooke
|
https://en.wikipedia.org/wiki/List%20of%20the%20busiest%20airports%20in%20Israel
|
Statistics 2020
Other years
See also
List of airports in Israel
List of the busiest airports in the Middle East
References
External links
....
Israel
Airports, busiest
|
https://en.wikipedia.org/wiki/Antonia%20J.%20Jones
|
Antonia Jane Jones (1943 – 2010) was a British mathematician and computer scientist. Her research considered number theory and computer science.
Early life and education
Jones was born in 1943 in Queen Charlotte's and Chelsea Hospital. She was the first member of her family to attend university. Jones contracted polio as a child and lost both of her legs at the age of ten. Jones attended the University of Reading, where she studied mathematics and physics and graduated both with first class honours. She was a doctoral student in number theory at the University of Cambridge, where she completed her PhD in 1969. Jones joined the University of Nottingham after earning her doctorate, before joining Imperial College London as a Senior Lecturer. She spent a year at the Institute for Advanced Study, after which she joined the faculty at the University of Colorado Boulder.
Research and career
Jones returned to the United Kingdom in the 1970s, where she became a lecturer at Royal Holloway, University of London. Her interest switched from mathematics to computing and she started to explore acoustic pattern recognition. Whilst Jones struggled with the early computers, when technology became more accessible for people with physical disabilities she launched her own firm creating random access video controllers.
In 1983 Jones joined Brunel University London at a lecturer in Information Technology. Jones later served as Professor of Evolutionary and Neural Computing at Cardiff University. She exposed various security loopholes in banking infrastructure, including identifying significant potential fraud at HSBC.
Alongside her scientific research, Jones was involved with science communication and public engagement. She served as an electronic data consultant on the 1986 film Rocinante. She contributed to the 1998 British Science Association Festival of Science. In 2007, Jones retired from Cardiff University.
Selected publications
Personal life
Antonia Jones spent many years with her partner Barbara Quinn at their shared farmhouse in the Brecon Beacons. Upon her retirement in 2007, Jones moved to St. Augustine, Florida. Jones died on 23 December 2010. She is survived by Quinn and her sister Jenny Carrl.
References
British mathematicians
1943 births
2010 deaths
Academics of Cardiff University
Alumni of the University of Reading
Number theorists
British LGBT scientists
21st-century British LGBT people
|
https://en.wikipedia.org/wiki/Sammonkatu
|
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Sammonkatu is a wide park street in the Kaleva district in Tampere, Finland. It starts at the intersection of Itsenäisyydenkatu (formerly known as Puolimatkankatu) and Teiskontie (formerly Teiskonkatu). The street is part of Kaleva's nationally significant built cultural environment. Along it is, among other things, Sampola, a public building with Sampola Library and Tammerkoski High School.
The name Sammonkatu is based on the Finnish epic poetry, the Kalevala, like many other street names in the area. In the ancient poems of the Kalevala, Sampo is a mythical artifact that generates wealth.
Light rail
The light rail from the center of Tampere to Hervanta runs on a grass track in the middle of Sammonkatu. Tram traffic started in 2021.
See also
Hämeenkatu
Kalevanrinne
Liisankallio
Teiskontie
References
Streets in Tampere
|
https://en.wikipedia.org/wiki/Michel%20Poon-Angeron
|
Michel Poon-Angeron (born 19 April 2001) is a Trinidadian football player who currently plays for Banfield.
Career statistics
International
References
2001 births
Living people
Trinidad and Tobago men's footballers
Trinidad and Tobago men's international footballers
Trinidad and Tobago expatriate men's footballers
Men's association football midfielders
Club Atlético Banfield footballers
Expatriate men's footballers in Argentina
|
https://en.wikipedia.org/wiki/Matthew%20Woo%20Ling
|
Matthew Woo Ling (born 15 September 1996) is a Trinidadian footballer who plays as a midfielder for Miami United.
Career statistics
Club
Notes
International
References
External links
Matthew Woo Ling at the Iowa Western Community College
1996 births
Living people
Iowa Western Reivers men's soccer players
Trinidad and Tobago men's footballers
Trinidad and Tobago men's youth international footballers
Trinidad and Tobago men's international footballers
Trinidad and Tobago expatriate men's footballers
Men's association football midfielders
W Connection F.C. players
Peachtree City MOBA players
St. Andrews F.C. (Malta) players
AC Port of Spain players
USL League Two players
Maltese Premier League players
Trinidad and Tobago expatriate sportspeople in the United States
Expatriate men's soccer players in the United States
Trinidad and Tobago expatriate sportspeople in Malta
Expatriate men's footballers in Malta
Trinidad and Tobago people of Chinese descent
Dalvík/Reynir players
Expatriate men's footballers in Iceland
3. deild karla players
Footballers from Port of Spain
|
https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20Russia
|
This article presents official statistics gathered during the COVID-19 pandemic in Russia.
By federal subject
Progression charts
National
Regional
Total cases
Total cases by federal subject
New daily cases
Daily new cases by federal subject
Maps
Notes
References
COVID-19 pandemic in Russia
Russia
|
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