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https://en.wikipedia.org/wiki/James%20P.%20M.%20Ntozi
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James Patrick Manyenye Ntozi was an Ugandan retired academic and farmer. He worked as a researcher in demographics and statistics at Makerere University in Uganda, with his main research projects focusing on the HIV/AIDS epidemic in Africa, fertility, census-taking, and aging and the life cycle. A medical demographer and statistician by training, his areas of expertise include gauging needs assessment, conducting evaluations, and creating baseline studies. After retirement, he took up work as a farmer. In 2011, the book Demography of Uganda and Selected African Countries was published in honor of his research contributions. Professor Ntozi died on Wednesday 19 May 2021 in Kampala, Uganda.
Education
Ntozi attended Mbarara Junior High and High School. In 1971, Ntozi earned his bachelor of science degree in Economics and Statistics from the Institute of Statistics and Applied Economics at Makerere University. Ntozi earned his master's degree at the institute in 1973. He gained his PhD in Medical Demography in 1977 from the University of London.
From 1977 to 1979, Ntozi went to the University of Nairobi because of the political unrest during the reign of Idi Amin. However, many of his colleagues left at the beginning of the regime in the early 1970s while he remained at the university. Ntozi also attended Bishop School Mukono, Busoga College Mwiri, where he met Uganda's current Prime Minister Ruhakana Rugunda, and Oxford University.
Research
Ntozi has more than 75 peer reviewed scientific articles and more than 70 papers presented at conferences. He has also edited over 15 books.
During the early years of Uganda's independence, there was little data on demographics. Ntozi worked on demographics during this period and tried to promote research in the field. His research within demographics has focused on fertility, mortality, migration, and development.
In 1980, Ntozi was the commissioner for Uganda's census, the results of which led to policy changes and the government's demarcation of areas. In the 1990s, Ntozi conducted research on marriage patterns, fertility rates, and the cultural causes and effects of HIV/AIDS. Beginning in the late 1990s, Ntozi began his research on aging. Since then, he has given lectures at international conferences on his research, taught classes on aging, and mentored three PhD students in the subject.
Ntozi helped evaluate the PEPFAR Project in Nigeria for the United States National Academy of Sciences (2005-2007).
Starting in the 2010s, he began researching the impact of HIV/AIDS on Ugandan elderly.
Makerere University
Ntozi served multiple roles at Makerere University from 1979 until his forced retirement in 2016, including lecturer, head of department, dean, member of the university senate, and ambassador of the university. Ntozi served as the director of the Institute of Statistics and Applied Economics for seven years, and he lectured as a Professor of Population Studies, from which he retired in 2016. He
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https://en.wikipedia.org/wiki/Combinatorial%20Geometry%20in%20the%20Plane
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Combinatorial Geometry in the Plane is a book in discrete geometry. It was translated from a German-language book, Kombinatorische Geometrie in der Ebene, which its authors Hugo Hadwiger and Hans Debrunner published through the University of Geneva in 1960, expanding a 1955 survey paper that Hadwiger had published in L'Enseignement mathématique. Victor Klee translated it into English, and added a chapter of new material. It was published in 1964 by Holt, Rinehart and Winston, and republished in 1966 by Dover Publications. A Russian-language edition, , translated by I. M. Jaglom and including a summary of the new material by Klee, was published by Nauka in 1965. The Basic Library List Committee of the Mathematical Association of America has recommended its inclusion in undergraduate mathematics libraries.
Topics
The first half of the book provides the statements of nearly 100 propositions in the discrete geometry of the Euclidean plane, and the second half sketches their proofs. Klee's added chapter, lying between the two halves, provides another 10 propositions, including some generalizations to higher dimensions, and the book concludes with a detailed bibliography of its topics.
Results in discrete geometry covered by this book include:
Carathéodory's theorem that every point in the convex hull of a planar set belongs to a triangle determined by three points of the set, and Steinitz's theorem that every point interior to the convex hull is interior to the convex hull of four points of the set.
The Erdős–Anning theorem, that if an infinite set of points in the plane has an integer distance between every two points, then the given points must all lie on a single line.
Helly's theorem, that if a family of compact convex sets has a non-empty intersection for every triple of sets, then the whole family has a non-empty intersection.
A Helly-like property of visibility related to the art gallery theorem: if every three points of a polygon are visible from some common point within the polygon, then there is a point from which the entire polygon is visible. In this case the polygon must be a star-shaped polygon.
The impossibility of covering a closed parallelogram by three translated copies of its interior, and the fact that every other compact convex set can be covered in this way.
Jung's theorem, that (for sets in the plane) the radius of the smallest enclosing circle is at most times the diameter. This bound is tight for the equilateral triangle.
Paradoxes of set decomposition into smaller sets, related to the Banach–Tarski paradox.
Radon's theorem that every four points in the plane can be partitioned into two subsets with intersecting convex hulls.
Sperner's lemma on colorings of triangulations.
The Sylvester–Gallai theorem, in the form that if a finite set of points in the plane has the property that every line through two of the points contains a third point from the set, then the given points must all lie on a single line.
Tarski's plank probl
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https://en.wikipedia.org/wiki/Gaussian%20process%20approximations
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In statistics and machine learning, Gaussian process approximation is a computational method that accelerates inference tasks in the context of a Gaussian process model, most commonly likelihood evaluation and prediction. Like approximations of other models, they can often be expressed as additional assumptions imposed on the model, which do not correspond to any actual feature, but which retain its key properties while simplifying calculations. Many of these approximation methods can be expressed in purely linear algebraic or functional analytic terms as matrix or function approximations. Others are purely algorithmic and cannot easily be rephrased as a modification of a statistical model.
Basic ideas
In statistical modeling, it is often convenient to assume that , the phenomenon under investigation is a Gaussian process indexed by which has mean function and covariance function .
One can also assume that data are values of a particular realization of this process for indices .
Consequently, the joint distribution of the data can be expressed as
,
where and , i.e. respectively a matrix with the covariance function values and a vector with the mean function values at corresponding (pairs of) indices.
The negative log-likelihood of the data then takes the form
Similarly, the best predictor of , the values of for indices , given data has the form
In the context of Gaussian models, especially in geostatistics, prediction using the best predictor, i.e. mean conditional on the data, is also known as kriging.
The most computationally expensive component of the best predictor formula is inverting the covariance matrix , which has cubic complexity . Similarly, evaluating likelihood involves both calculating and the determinant which has the same cubic complexity.
Gaussian process approximations can often be expressed in terms of assumptions on under which and can be calculated with much lower complexity. Since these assumptions are generally not believed to reflect reality, the likelihood and the best predictor obtained in this way are not exact, but they are meant to be close to their original values.
Model-based methods
This class of approximations is expressed through a set of assumptions which are imposed on the original process and which, typically, imply some special structure of the covariance matrix. Although most of these methods were developed independently, most of them can be expressed as special cases of the sparse general Vecchia approximation.
Sparse covariance methods
These methods approximate the true model in a way the covariance matrix is sparse. Typically, each method proposes its own algorithm that takes the full advantage of the sparsity pattern in the covariance matrix. Two prominent members of this class of approaches are covariance tapering and domain partitioning. The first method generally requires a metric over and assumes that for we have only if for some radius . The second method assumes tha
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https://en.wikipedia.org/wiki/Paul%20McNicholas%20%28statistician%29
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Paul D. McNicholas is an Irish-Canadian statistician. He is a professor and University Scholar in the Department of Mathematics and Statistics at McMaster University. In 2015, McNicholas was awarded the Tier 1 Canada Research Chair in Computational Statistics. McNicholas uses computational statistics techniques, and mixture models in particular, to gain insight into large and complex datasets. He is editor-in-chief of the Journal of Classification.
Education and career
McNicholas attended Trinity College Dublin where in 2004 he received a B.A. (Mod.) in Mathematics. He also holds an M.Sc. in High Performance Computing and a Ph.D. in Statistics. His 2007 Ph.D. thesis is entitled Topics in Unsupervised Learning.
McNicholas started his faculty career at University of Guelph in 2007. In 2014, he joined McMaster University. He has authored more than 100 scientific works cited over 4000 times. The majority of his research has been in on model-based clustering, specifically in developing novel finite mixture models for clustering and classification of multivariate data. He has published works on clustering high-dimensional data and the use of non-Gaussian mixtures. McNicholas has published two monographs: Mixture Model-Based Classification and Data Science with Julia.
Recognition
In 2017, he was inducted into the College of New Scholars Artists and Scientists of the college of the Royal Society of Canada. In 2019, he was awarded an E.W.R. Steacie Memorial Fellowship from the Natural Sciences and Engineering Research Council of Canada.
References
1981 births
Living people
Irish emigrants to Canada
Irish statisticians
21st-century Irish mathematicians
Scientists from Cork (city)
Canada Research Chairs
21st-century Canadian mathematicians
Alumni of Trinity College Dublin
Academic journal editors
Academic staff of McMaster University
Academic staff of the University of Guelph
Computational statisticians
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https://en.wikipedia.org/wiki/Gauge%20theory%20%28mathematics%29
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In mathematics, and especially differential geometry and mathematical physics, gauge theory is the general study of connections on vector bundles, principal bundles, and fibre bundles. Gauge theory in mathematics should not be confused with the closely related concept of a gauge theory in physics, which is a field theory which admits gauge symmetry. In mathematics theory means a mathematical theory, encapsulating the general study of a collection of concepts or phenomena, whereas in the physical sense a gauge theory is a mathematical model of some natural phenomenon.
Gauge theory in mathematics is typically concerned with the study of gauge-theoretic equations. These are differential equations involving connections on vector bundles or principal bundles, or involving sections of vector bundles, and so there are strong links between gauge theory and geometric analysis. These equations are often physically meaningful, corresponding to important concepts in quantum field theory or string theory, but also have important mathematical significance. For example, the Yang–Mills equations are a system of partial differential equations for a connection on a principal bundle, and in physics solutions to these equations correspond to vacuum solutions to the equations of motion for a classical field theory, particles known as instantons.
Gauge theory has found uses in constructing new invariants of smooth manifolds, the construction of exotic geometric structures such as hyperkähler manifolds, as well as giving alternative descriptions of important structures in algebraic geometry such as moduli spaces of vector bundles and coherent sheaves.
History
Gauge theory has its origins as far back as the formulation of Maxwell's equations describing classical electromagnetism, which may be phrased as a gauge theory with structure group the circle group. Work of Paul Dirac on magnetic monopoles and relativistic quantum mechanics encouraged the idea that bundles and connections were the correct way of phrasing many problems in quantum mechanics. Gauge theory in mathematical physics arose as a significant field of study with the seminal work of Robert Mills and Chen-Ning Yang on so-called Yang–Mills gauge theory, which is now the fundamental model that underpins the standard model of particle physics.
The mathematical investigation of gauge theory has its origins in the work of Michael Atiyah, Isadore Singer, and Nigel Hitchin on the self-duality equations on a Riemannian manifold in four dimensions. In this work the moduli space of self-dual connections (instantons) on Euclidean space was studied, and shown to be of dimension where is a positive integer parameter. This linked up with the discovery by physicists of BPST instantons, vacuum solutions to the Yang–Mills equations in four dimensions with . Such instantons are defined by a choice of 5 parameters, the center and scale , corresponding to the -dimensional moduli space. A BPST instanton is depicted to the
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https://en.wikipedia.org/wiki/Kimberly%20Weems
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Kimberly Sherrille Weems is an American statistician, active in mentoring women and members of underrepresented minority groups in statistics and encouraging them to pursue advanced studies in statistics. She is an associate professor of statistics at North Carolina Central University. Her research interests include count data and statistical dispersion. She was recognized by Mathematically Gifted & Black as a Black History Month 2019 Honoree.
Early life and education
Weems is African-American, and grew up in Cartersville, Georgia as the daughter of a schoolteacher. She majored in mathematics at Spelman College, with a minor in Spanish, and became interested in statistics there through the mentorship of Nagambal Shah.
She completed her Ph.D. in applied mathematics at the University of Maryland, College Park in 2000. Together with Sherry Scott and Tasha Inniss, she was one of the first three African-American women to do so. Her dissertation, On Robustness against Misspecified Mixing Distribution in Generalized Linear Mixed Models, concerned the robust statistics of generalized linear mixed models, and was supervised by Paul John Smith.
Career and influences
After an internship at the National Security Agency, and postdoctoral research at North Carolina State University, Weems became a faculty member at North Carolina State University, and moved to North Carolina Central University in 2015.
As well as her mother, Nagambal Shah, and Paul John Smith, other statisticians named by Weems as influential in her research and career include Kimberly Sellers, Dennis Boos, Jacqueline Hughes-Oliver, and Sastry Pantula.
References
Year of birth missing (living people)
Living people
People from Cartersville, Georgia
American statisticians
Women statisticians
African-American statisticians
University of Maryland, College Park alumni
Spelman College alumni
North Carolina State University faculty
North Carolina Central University faculty
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https://en.wikipedia.org/wiki/Polyominoes%3A%20Puzzles%2C%20Patterns%2C%20Problems%2C%20and%20Packings
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Polyominoes: Puzzles, Patterns, Problems, and Packings is a mathematics book on polyominoes, the shapes formed by connecting some number of unit squares edge-to-edge. It was written by Solomon Golomb, and is "universally regarded as a classic in recreational mathematics".
The Basic Library List Committee of the Mathematical Association of America has strongly recommended its inclusion in undergraduate mathematics libraries.
Publication history
The book collects together material previously published by Golomb in various articles and columns, especially in Recreational Mathematics Magazine. It was originally published by Scribner's in 1965, titled simply Polyominoes, and including a plastic set of the twelve pentominoes. The book's title word "polyominoes" was invented for the subject by Golomb in 1954 as a back-formation from "domino".
A translation into Russian by I. Yaglom, Полимино, was published by Mir in 1975; it includes also translations of two papers on polyominoes by Golomb and by David A. Klarner.
A second English-language edition of the book was published by the Princeton University Press in 1994. It added to the corrected text of the original addition two more chapters on recent developments, an expanded bibliography, and two appendices, one giving an enumeration of polyominoes and a second reprinting a report by Andy Liu of the solution to all open problems proposed in an appendix to the first edition.
Topics
After an introductory chapter that enumerates the polyominoes up to the hexominoes (made from six squares), the next two chapters of the book concern the pentominoes (made from five squares), the rectangular shapes that can be formed from them, and the subsets of an chessboard into which the twelve pentominoes can be packed.
The fourth chapter discusses brute-force search methods for searching for polyomino tilings or proving their nonexistence, and the fifth introduces techniques from enumerative combinatorics including Burnside's lemma for counting polyominoes and their packings. Although reviewer M. H. Greenblatt considers this more theoretical material a digression from the main topic of the book, and the book itself suggests that less mathematically-inclined readers skip this material, Alan Sutcliffe calls it "the heart of the book", and an essential bridge between the earlier and later chapters. The question of using these methods to find a formula for the number of polyominoes with a given number of squares remains unsolved, and central to the topic.
The final two chapters of the first edition concern generalizations of polyominoes to polycubes and other polyforms, and briefly mention the work of Edward F. Moore and Hao Wang proving the undecidability of certain tiling problems including the problem of whether a set of polyominoes can tile the plane. The second edition adds a chapter on the work of David Klarner on the smallest rectangles that can be tiled by certain polyominoes, and another chapter summarizing ot
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https://en.wikipedia.org/wiki/Csaba%20Bel%C3%A9nyesi
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Csaba Belényesi (born 3 March 1994) is a Hungarian football centre back who plays for NB I club Kecskemét.
Career
On 5 July 2022, Belényesi returned to Kecskemét.
Career statistics
.
References
External links
1994 births
Footballers from Debrecen
Living people
Hungarian men's footballers
Men's association football defenders
Gyulai FC players
Cigánd SE players
Putnok VSE footballers
Kazincbarcikai SC footballers
Debreceni VSC players
Dorogi FC footballers
Kecskeméti TE players
Diósgyőri VTK players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
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https://en.wikipedia.org/wiki/%C4%8Ciflik%2C%20Peh%C4%8Devo
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Čiflik () is a village in the municipality of Pehčevo, North Macedonia.
Demographics
According to the statistics of Bulgarian ethnographer Vasil Kanchov from 1900 the settlement is recorded as Čifliko as having 357 inhabitants, all Bulgarian Exarchists. According to the 2002 census, the village had a total of 321 inhabitants. Ethnic groups in the village include:
Macedonians 319
Serbs 2
References
Villages in Pehčevo Municipality
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https://en.wikipedia.org/wiki/Amir%20Altoury
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Amir Altoury (born 2 September 2003) is an Israeli footballer who currently plays as a forward for Maccabi Petah Tikva.
Career statistics
Club
References
2003 births
Living people
Israeli men's footballers
Israel men's youth international footballers
Men's association football forwards
Maccabi Petah Tikva F.C. players
Israeli Premier League players
Liga Leumit players
Footballers from Kafr Qasim
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https://en.wikipedia.org/wiki/Theo%20Ogbidi
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Theo Ogbidi (born 2 February 2001) is a German footballer who plays as a forward for 1. FC Lokomotive Leipzig.
Career statistics
Club
Notes
References
2001 births
Footballers from Halle (Saale)
Living people
German men's footballers
Men's association football forwards
3. Liga players
Regionalliga players
RB Leipzig players
1. FC Magdeburg players
Chemnitzer FC players
1. FC Lokomotive Leipzig players
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https://en.wikipedia.org/wiki/Mihajlo%20Bai%C4%87
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Mihajlo Baić (, born 21 November 2002) is a Serbian footballer who plays as a forward for Osijek II.
Career statistics
Club
References
2002 births
Living people
Footballers from Subotica
Serbian men's footballers
Serbia men's youth international footballers
Men's association football forwards
FK Čukarički players
Red Star Belgrade footballers
FK Spartak Subotica players
NK Osijek players
NŠ Mura players
Serbian SuperLiga players
First Football League (Croatia) players
Slovenian PrvaLiga players
Serbian expatriate men's footballers
Serbian expatriate sportspeople in Croatia
Expatriate men's footballers in Croatia
Serbian expatriate sportspeople in Slovenia
Expatriate men's footballers in Slovenia
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https://en.wikipedia.org/wiki/Patricia%20Grambsch
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Patricia Louise Meller Grambsch is an American biostatistician known for her work on survival models including proportional hazards models. She is an associate professor emerita of biostatistics at the University of Minnesota.
Education and career
Grambsch completed her Ph.D. in 1980 at the University of Minnesota, with the dissertation Conditional Likelihood Inference supervised by David Hinkley. Before returning to Minnesota as a faculty member, she worked in the survival analysis group at the Mayo Clinic for five years, from 1985 to 1990.
Book
With Terry M. Therneau, Grambsch is the author of the book Modeling Survival Data: Extending the Cox Model (Statistics for Biology and Health, Springer, 2000).
Recognition
Grambsch was elected as a Fellow of the American Statistical Association in 1996.
References
American statisticians
Women statisticians
Biostatisticians
University of Minnesota alumni
University of Minnesota faculty
Year of birth missing (living people)
Living people
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https://en.wikipedia.org/wiki/Zal%C3%A1n%20Keresztes
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Zalán Keresztes (born 17 June 2001) is a Hungarian professional footballer who plays for Veszprém (Forward)
Career statistics
.
References
2001 births
People from Dombóvár
Living people
Hungarian men's footballers
Men's association football forwards
Kaposvári Rákóczi FC players
FC Veszprém footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság III players
Footballers from Tolna County
21st-century Hungarian people
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https://en.wikipedia.org/wiki/1947%E2%80%9348%20Rochdale%20A.F.C.%20season
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The 1947–48 season saw Rochdale compete for their 20th season in the Football League Third Division North.
Statistics
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Final league table
Competitions
Football League Third Division North
F.A. Cup
Lancashire Cup
References
Rochdale A.F.C. seasons
Rochdale
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https://en.wikipedia.org/wiki/Anderson%20acceleration
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In mathematics, Anderson acceleration, also called Anderson mixing, is a method for the acceleration of the convergence rate of fixed-point iterations. Introduced by Donald G. Anderson, this technique can be used to find the solution to fixed point equations often arising in the field of computational science.
Definition
Given a function , consider the problem of finding a fixed point of , which is a solution to the equation . A classical approach to the problem is to employ a fixed-point iteration scheme; that is, given an initial guess for the solution, to compute the sequence until some convergence criterion is met. However, the convergence of such a scheme is not guaranteed in general; moreover, the rate of convergence is usually linear, which can become too slow if the evaluation of the function is computationally expensive. Anderson acceleration is a method to accelerate the convergence of the fixed-point sequence.
Define the residual , and denote and (where corresponds to the sequence of iterates from the previous paragraph). Given an initial guess and an integer parameter , the method can be formulated as follows:
where the matrix–vector multiplication , and is the th element of . Conventional stopping criteria can be used to end the iterations of the method. For example, iterations can be stopped when falls under a prescribed tolerance, or when the residual falls under a prescribed tolerance.
With respect to the standard fixed-point iteration, the method has been found to converge faster and be more robust, and in some cases avoid the divergence of the fixed-point sequence.
Derivation
For the solution , we know that , which is equivalent to saying that . We can therefore rephrase the problem as an optimization problem where we want to minimize .
Instead of going directly from to by choosing as in fixed-point iteration, let's consider an intermediate point that we choose to be the linear combination , where the coefficient vector , and is the matrix containing the last points, and choose such that it minimizes . Since the elements in sum to one, we can make the first order approximation , and our problem becomes to find the that minimizes . After having found , we could in principle calculate .
However, since is designed to bring a point closer to , is probably closer to than what is, so it makes sense to choose rather than . Furthermore, since the elements in sum to one, we can make the first order approximation . We therefore choose
.
Solution of the minimization problem
At each iteration of the algorithm, the constrained optimization problem , subject to needs to be solved. The problem can be recast in several equivalent formulations, yielding different solution methods which may result in a more convenient implementation:
defining the matrices and , solve , and set ;
solve , then set .
For both choices, the optimization problem is in the form of an unconstrained linear least-squares problem
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https://en.wikipedia.org/wiki/Jonas%20Sterner
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Jonas Sterner (born 13 May 2002) is a German professional footballer who plays as a midfielder for club Holstein Kiel.
Career statistics
References
External links
2002 births
Living people
German men's footballers
Germany men's youth international footballers
Men's association football midfielders
2. Bundesliga players
Regionalliga players
Holstein Kiel players
Holstein Kiel II players
People from Husum
Footballers from Schleswig-Holstein
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https://en.wikipedia.org/wiki/Jakub%20Ka%C5%82uzi%C5%84ski
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Jakub Kałuziński (born 31 October 2002) is a Polish professional footballer who plays as a midfielder for Süper Lig club Antalyaspor.
Career statistics
Club
References
2002 births
Living people
Footballers from Gdańsk
Polish men's footballers
Men's association football midfielders
Poland men's youth international footballers
Poland men's under-21 international footballers
Lechia Gdańsk players
Lechia Gdańsk II players
Antalyaspor footballers
Ekstraklasa players
IV liga players
Süper Lig players
Polish expatriate men's footballers
Expatriate men's footballers in Turkey
Polish expatriate sportspeople in Turkey
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https://en.wikipedia.org/wiki/Qusay%20Hashim
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Qusay Hashim (born 1 July 1976) is a former Iraqi football forward who played for Iraq between 2002 and 2004. He played 16 matches and scored 3 goals.
Career statistics
International goals
Scores and results list Iraq's goal tally first.
References
Iraqi men's footballers
Iraq men's international footballers
Living people
Men's association football forwards
1976 births
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https://en.wikipedia.org/wiki/Mathematics%20in%20Nepal
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Mathematics in Nepal have been used for measurement since ancient times. Advanced mathematics were used primarily in the field of Astrology to predict position of planets to determine auspicious time for various Hindu rituals. In recent times, mathematics is taught formally in schools from primary level up to doctorate degree. All students must pass mathematics in the SEE exam.
History
The history of mathematics in Nepal is inter-related with the history of mathematics in the Indian sub-continent. However, independent history of mathematics in Nepal also exists. The ancient Licchavi people developed a series of the system for measurement such as Kharika to measure land area and Kosh for measurement of distance. Similarly, Jayasthiti Malla, in 1350 AD standardized Mana and Pathi for volumetric measurement of grains and cereals.
The numerals of Ranjana script was developed in 199 BC. It was used until the mid-20th century in Nepal and India. It is still in use in the Newari language.
Formal education
In the Rana Period, Kashi (Banaras) used to be the education hub to learn astrology and mathematics. The mathematics was based mainly on the text of Baskaracharya's Siddhant Siromani.
The formal education of mathematics in school started after overthrowing of Rana regime and start of democracy.
The M.A./M.Sc. in Mathematics started on July 14, 1959, and Central Department of Mathematics was formed on September 20, 1959, A.D. in Tripureshwor Bengali mathematician Prof. Asutosh Ganguli was the first head of Department in Master level mathematics courses at Tri-Chandra College.
Institutions offering graduate courses
Central Department of Mathematics TU at Tribhuwan University
Department of mathematics at Kathmandu University
Department of Mathematics at Pokhara University
Notable books
Siddhānta Shiromani of Bhāskara II
Līlāvatī
Bijaganita (Algebra)
Arithmetic by Yadav Chandra Chakravorty
Geometry of Jagannath
Wyakta Chandrika by Gopal Pande illustrates the rule of three to the determination of square root and cube roots
Nepal Arithmetic by Nepal Bhasa Prakasiri Samiti published in 1834
Notable figures
Chakra Pani Aryal was a 15th-century astrologer and mathematician. He wrote Uttan Gadit (in Sanskrit) that was used for calculation of solar and lunar eclipses. This book was revised by Padma Nav Keshari Aryal in 1934 A.D.
Pd. Gopal Pandey (1883–1914) was the first person to write a book in Nepali about mathematics. He wrote four editions of his book in Nepali. The third edition was also published in Hindi. He was honoured as the Royal Astrologer for successfully predicting the number of lunar eclipses in 1884. He was also responsible to make the plot of Tudikhel.
Noor Dutta Pande (second son of Gopal Pande) wrote the Gorkha Bijaganita. He has composed a mathematics book called "Bichitra Ganita".
Tikaram Dhananjaya (1909–1936) wrote the first full commentary of Lilavati of Bhaskaracharya in Nepali. He also wrote the book Shishubodha
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https://en.wikipedia.org/wiki/L%C3%A1szl%C3%B3%20Laky
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László Laky (born 6 February 2000) is a Hungarian professional footballer who plays for KFC Komárno.
Career statistics
.
References
External links
2000 births
Footballers from Székesfehérvár
Living people
Hungarian men's footballers
Men's association football goalkeepers
Hungary men's youth international footballers
Puskás Akadémia FC players
Puskás Akadémia FC II players
Kaposvári Rákóczi FC players
Békéscsaba 1912 Előre footballers
Komárom VSE footballers
KFC Komárno players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Nemzeti Bajnokság III players
2. Liga (Slovakia) players
Expatriate men's footballers in Slovakia
Hungarian expatriate men's footballers
21st-century Hungarian people
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https://en.wikipedia.org/wiki/%C3%81d%C3%A1m%20Baranyai
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Ádám Baranyai (born 5 March 1993) is a Hungarian professional footballer who plays for Slovak club Komárno.
Career statistics
.
References
External links
1993 births
Living people
Footballers from Budapest
Hungarian men's footballers
Men's association football defenders
BFC Siófok players
Rákospalotai EAC footballers
Aqvital FC Csákvár players
Kisvárda FC players
KFC Komárno players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
2. Liga (Slovakia) players
21st-century Hungarian people
Hungarian expatriate men's footballers
Expatriate men's footballers in Slovakia
Hungarian expatriate sportspeople in Slovakia
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https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20Poland
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Statistics
See COVID-19 pandemic in Poland for the cumulative lab-confirmed case count/deaths/recoveries graph shown as a horizontal bar graph; and for a daily cases/deaths/recoveries graph.
Detailed graphs for active cases, daily cases/deaths/recoveries
September 1 – New way of testing and quarantine
December 2 – Rapid COVID-19 antigen tests introduced for patients
Detailed graphs for active cases vs recoveries
New cases per day reported
7-day average
New recovered by day reported
New deaths by day reported
Tests per day
total number of people vaccinated
(Vaccinations started in Jan 2021)
Detailed case and deaths counts
Detail data in separate page
COVID-19 pandemic in Poland
Poland
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https://en.wikipedia.org/wiki/Solving%20the%20Riddle%20of%20Phyllotaxis
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Solving the Riddle of Phyllotaxis: Why the Fibonacci Numbers and the Golden Ratio Occur in Plants is a book on the mathematics of plant structure, and in particular on phyllotaxis, the arrangement of leaves on plant stems. It was written by Irving Adler, and published in 2012 by World Scientific. The Basic Library List Committee of the Mathematical Association of America has suggested its inclusion in undergraduate mathematics libraries.
Background
Irving Adler (1913–2012) was known as a peace protester, schoolteacher, and children's science book author before, in 1961, earning a doctorate in abstract algebra. Even later in his life, Adler began working on phyllotaxis, the mathematical structure of leaves on plant stems. This book, which collects several of his papers on the subject previously published in journals and edited volumes, is the last of his 85 books to be published before his death.
Topics
Different plants arrange their leaves differently, for instance on alternating sides of the plant stem, or rotated from each other by other fractions of a full rotation between consecutive leaves. In these patterns, rotations by 1/2 of an angle, 1/3 of an angle, 3/8 of an angle, or 5/8 of an angle are common, and it does not appear to be coincidental that the numerators and denominators of these fractions are all Fibonacci numbers. Higher Fibonacci numbers often appear in the number of spiral arms in the spiraling patterns of sunflower seed heads, or the helical patterns of pineapple cells. The theme of Adler's work in this area, in the papers reproduced in this volume, was to find a mathematical model for plant development that would explain these patterns and the occurrence of the Fibonacci numbers and the golden ratio within them.
The papers are arranged chronologically; they include four journal papers from the 1970s, another from the late 1990s, and a preface and book chapter also from the 1990s. Among them, the first is the longest, and reviewer Adhemar Bultheel calls it "the most fundamental"; it uses the idea of "contact pressure" to cause plant parts to maximize their distance from each other and maintain a consistent angle of divergence from each other, and makes connections with the mathematical theories of circle packing and space-filling curves. Subsequent papers refine this theory, make additional connections for instance to the theory of continued fractions, and provide a more general overview.
Interspersed with the theoretical results in this area are historical asides discussing, among others, the work on phyllotaxis of Theophrastus (the first to study phyllotaxis), Leonardo da Vinci (the first to apply mathematics to phyllotaxis), Johannes Kepler (the first to recognize the importance of the Fibonacci numbers to phyllotaxis), and later naturalists and mathematicians.
Audience and reception
Reviewer Peter Ruane found the book gripping, writing that it can be read by a mathematically inclined reader with no background knowledg
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https://en.wikipedia.org/wiki/Oliv%C3%A9r%20Tam%C3%A1s
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Olivér Tamás (born 14 April 2001) is a Hungarian professional footballer who plays for Nyíregyháza on loan from Paks.
Career statistics
.
References
2001 births
Footballers from Zakarpattia Oblast
Living people
Hungarian men's footballers
Hungary men's youth international footballers
Hungary men's under-21 international footballers
Men's association football defenders
Fehérvár FC players
Budaörsi SC footballers
Paksi FC players
Nyíregyháza Spartacus FC players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Hungarian people of Ukrainian descent
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https://en.wikipedia.org/wiki/Stanislav%20Rabotov
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Stanislav Rabotov (; born 14 June 2002) is a Bulgarian professional footballer who plays as a defender for Botev Plovdiv.
Career statistics
References
External links
2002 births
Living people
Bulgarian men's footballers
First Professional Football League (Bulgaria) players
Botev Plovdiv players
Men's association football defenders
People from Rakovski
Sportspeople from Plovdiv Province
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https://en.wikipedia.org/wiki/Developable%20roller
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In geometry, a developable roller is a convex solid whose surface consists of a single continuous, developable face. While rolling on a plane, most developable rollers develop their entire surface so that all the points on the surface touch the rolling plane. All developable rollers have ruled surfaces. Four families of developable rollers have been described to date: the prime polysphericons, the convex hulls of the two disc rollers (TDR convex hulls), the polycons and the Platonicons.
Construction
Each developable roller family is based on a different construction principle. The prime polysphericons are a subfamily of the polysphericon family. They are based on bodies made by rotating regular polygons around one of their longest diagonals. These bodies are cut in two at their symmetry plane and the two halves are reunited after being rotated at an offset angle relative to each other. All prime polysphericons have two edges made of one or more circular arcs and four vertices. All of them, but the sphericon, have surfaces that consist of one kind of conic surface and one, or more, conical or cylindrical frustum surfaces. Two-disc rollers are made of two congruent symmetrical circular or elliptical sectors. The sectors are joined to each other such that the planes in which they lie are perpendicular to each other, and their axes of symmetry coincide. The convex hulls of these structures constitute the members of the TDR convex hull family. All members of this family have two edges (the two circular or elliptical arcs). They may have either 4 vertices, as in the sphericon (which is a member of this family as well) or none, as in the oloid. Like the prime polysphericons the polycons are based on regular polygons but consist of identical pieces of only one type of cone with no frustum parts. The cone is created by rotating two adjacent edges of a regular polygon (and in most cases their extensions as well) around the polygon's axis of symmetry that passes through their common vertex. A polycon based on an n-gon (a polygon with n edges) has n edges and n + 2 vertices. The sphericon, which is a member of this family as well, has circular edges. The hexacon's edges are parabolic. All other polycons' edges are hyperbolic. Like the polycons, the Platonicons are made of only one type of conic surface. Their unique feature is that each one of them circumscribes one of the five Platonic solids. Unlike the other families, this family is not infinite. 14 Platonicons have been discovered to date.
Rolling motion
Unlike axially symmetrical bodies that, if unrestricted, can perform a linear rolling motion (like the sphere or the cylinder) or a circular one (like the cone), developable rollers meander while rolling. Their motion is linear only on average. In the case of the polycons and Platonicons, as well as some of the prime polysphericons, the path of their center of mass consists of circular arcs. In the case of the prime polysphericons that have surface
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https://en.wikipedia.org/wiki/Antonio%20Bokanovic
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Antonio Bokanovic (born 11 June 2003) is an Austrian footballer who plays as a defender for Dornbirner SV.
Career statistics
Club
Notes
References
2003 births
Living people
Austrian men's footballers
Men's association football defenders
FC Dornbirn 1913 players
2. Liga (Austria) players
Austrian Landesliga players
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https://en.wikipedia.org/wiki/Feth%20Nour%20Aliouat
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Feth Nour Aliouat (born 25 April 1987) is an Algerian footballer who plays for MO Béjaïa in the Algerian Ligue 2 as a forward.
Career statistics
Club
References
External links
1995 births
Living people
Men's association football defenders
Algerian men's footballers
Algerian Ligue Professionnelle 1 players
USM Blida players
People from Blida
21st-century Algerian people
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https://en.wikipedia.org/wiki/Trade%20Data%20Monitor
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Trade Data Monitor (TDM) is a trade data company based in Charleston, SC and Geneva, Switzerland. It procures and aggregates monthly import and export statistics for over 110 countries using Harmonized System commodity codes, offers specialized training in trade statistics, and provides clients with a searchable database and built-to-order statistical reports.
Trade Data Monitor has been widely cited for international trade statistics. Organizations that have cited TDM include international organizations such as the World Trade Organization, the Food and Agriculture Organization of the United Nations, and the International Monetary Fund, and branches and publications of the United States government, such as the United States Department of Agriculture, the United States Department of Commerce, and the United States International Trade Commission. TDM has also been cited in published research, including in the journals ARE Update and Choices, and in California Agriculture, a book published by the University of California. It has also appeared in news media, now with increasing frequency as the economic impact of the China–United States trade war and the COVID-19 pandemic have drawn attention to changes in international trade. Recently, TDM has been cited by The Wall Street Journal and the Washington Post, among other news sources.
TDM was founded by C. Donald Brasher Jr., an internationally recognized specialist in trade data analysis who has advised more than 16 governments and has worked with the United States Department of Commerce, the International Business and Economic Research Corporation in Washington, DC, and the Center for International Technological Cooperation and Development at the American University. He has also been quoted by publications such as The Wall Street Journal, The New York Times, The Financial Times, and the Journal of Commerce.
References
External links
TradeDataMonitor.com
International trade organizations
Organisations based in Geneva
Organizations based in Charleston, South Carolina
Organizations established in 2017
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https://en.wikipedia.org/wiki/Levente%20Sz%C5%91r
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Levente Szőr (born 14 January 2001) is a Hungarian professional footballer who plays for Tiszakécske on loan from Kisvárda.
Career statistics
.
References
2001 births
Living people
People from Kisvárda
Hungarian men's footballers
Men's association football midfielders
Kisvárda FC players
Tiszakécske FC footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Nemzeti Bajnokság III players
Footballers from Szabolcs-Szatmár-Bereg County
21st-century Hungarian people
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https://en.wikipedia.org/wiki/Zal%C3%A1n%20Czene
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Zalán Czene (born 22 December 2002) is a Hungarian professional footballer who plays for Kisvárda II.
Career statistics
.
References
External links
2002 births
Living people
Footballers from Szabolcs-Szatmár-Bereg County
Hungarian men's footballers
Men's association football defenders
Kisvárda FC players
Nemzeti Bajnokság I players
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https://en.wikipedia.org/wiki/Vasyl%20Khimich
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Vasyl Vasylyovych Khimich (; ; born 17 May 2001) is a Ukrainian-Hungarian professional footballer who plays for Kisvárda II.
Career statistics
.
References
External links
2001 births
Footballers from Zakarpattia Oblast
Ukrainian emigrants to Hungary
Living people
Ukrainian men's footballers
Hungarian men's footballers
Men's association football forwards
MFA Mukachevo players
Kisvárda FC players
Nemzeti Bajnokság I players
Nemzeti Bajnokság III players
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https://en.wikipedia.org/wiki/Viktor%20Riznychenko
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Viktor Riznychenko (born 21 June 2002) is a Ukrainian professional footballer who plays for Austrian club SK Strobl.
Career statistics
.
References
External links
2002 births
Living people
Ukrainian men's footballers
Men's association football midfielders
Kisvárda FC players
Putnok VSE footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság III players
Ukrainian expatriate men's footballers
Expatriate men's footballers in Hungary
Ukrainian expatriate sportspeople in Hungary
Expatriate men's footballers in Austria
Ukrainian expatriate sportspeople in Austria
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https://en.wikipedia.org/wiki/Michal%20%C4%8Cern%C3%A1k
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Michal Černák (born 1 September 2003) is a Czech footballer who currently plays as a midfielder for FK Jablonec.
Career statistics
Club
Notes
References
External links
2003 births
Living people
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football forwards
Bohemian Football League players
Czech First League players
FK Jablonec players
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https://en.wikipedia.org/wiki/Jannis%20Turtschan
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Jannis Turtschan (born 21 October 2001) is a German professional footballer who plays as a midfielder for FC St. Pauli II.
Career statistics
Notes
References
2001 births
Living people
German men's footballers
Men's association football midfielders
3. Liga players
Regionalliga players
FC Red Bull Salzburg players
SpVgg Unterhaching players
FC St. Pauli II players
German expatriate men's footballers
German expatriate sportspeople in Austria
Expatriate men's footballers in Austria
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https://en.wikipedia.org/wiki/Katherine%20Monti
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Katherine Lane Monti (née Nuckolls) is an American biostatistician known for her works on graphical techniques in statistics and on the statistics of pet health.
Education and career
Monti is the daughter of Katherine (Kit) Buckley Nuckolls, the former chair of pediatric nursing at Yale University. She graduated from Oberlin College in 1971, married sociologist Daniel J. Monti Jr., and completed a Ph.D. in biostatistics in 1975 at the University of North Carolina at Chapel Hill. Her dissertation, The Locally Optimal Combination of Certain Multivariate Test Statistics, was supervised by Pranab K. Sen.
She became a faculty member at the University of Missouri–St. Louis but moved to industry, working for pet food company Ralston Purina, medical testing company Ciba-Corning Diagnostics, drug design company Astra Pharmaceuticals, and statistical contracting firm Rho. She retired in 2017.
Service and recognition
Through her career, Monti was active in the American Statistical Association, including stints as chair of the Biopharmaceutical Section and president of the Boston Chapter. She was named a Fellow of the American Statistical Association in 2007, and in 2014 the Boston Chapter gave her their Mosteller Statistician of the Year Award.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Oberlin College alumni
UNC Gillings School of Global Public Health alumni
University of Missouri–St. Louis faculty
Fellows of the American Statistical Association
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https://en.wikipedia.org/wiki/Extremal%20Problems%20For%20Finite%20Sets
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Extremal Problems For Finite Sets is a mathematics book on the extremal combinatorics of finite sets and families of finite sets. It was written by Péter Frankl and Norihide Tokushige, and published in 2018 by the American Mathematical Society as volume 86 of their Student Mathematical Library book series. The Basic Library List Committee of the Mathematical Association of America has suggested its inclusion in undergraduate mathematics libraries.
Topics
The book has 32 chapters. Its topics include:
Sperner's theorem, on the largest antichain in the family of subsets of a given finite set.
The Sauer–Shelah lemma, on the largest size of a family of sets that avoids shattering any set of given size.
The Erdős–Ko–Rado theorem, on the largest pairwise-intersecting family of subsets of a given finite set, with multiple proofs; the closely related Lubell–Yamamoto–Meshalkin inequality; the Hilton-Milner theorem, on the largest intersecting family with no element in common; and a conjecture of Václav Chvátal that the largest intersecting family of any downward-closed family of sets is always achieved by a family with an element in common.
The Kruskal–Katona theorem relating the size of a family of equal-sized sets and the size of the family of subsets of its sets of a smaller equal size.
Cap sets and the sunflower conjecture on families of sets with equal pairwise intersection.
Open problems including Frankl's union-closed sets conjecture.
Many other results in this area are also included.
Audience and reception
Although the book is intended for undergraduate mathematics students, reviewer Mark Hunacek suggests that readers will either need to be familiar with, or comfortable looking up, terminology for hypergraphs and metric spaces. He suggests that the appropriate audience for the book would be advanced undergraduates who have already demonstrated an interest in combinatorics. However, despite the narrowness of this group, he writes that the book will likely be very valuable to them, as the only source for this material that is written at an undergraduate level.
References
Combinatorics
Families of sets
Mathematics books
2018 non-fiction books
Publications of the American Mathematical Society
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https://en.wikipedia.org/wiki/Coherent%20topos
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In mathematics, a coherent topos is a topos generated by a collection of quasi-compact quasi-separated objects closed under finite products.
See also
spectral space
References
External links
https://ncatlab.org/nlab/show/coherent+topos
Topos theory
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https://en.wikipedia.org/wiki/Additive%20process
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An additive process, in probability theory, is a cadlag, continuous in probability stochastic process with independent increments.
An additive process is the generalization of a Lévy process (a Lévy process is an additive process with identically distributed increments). An example of an additive process that is not a Lévy process is a Brownian motion with a time-dependent drift.
The additive process was introduced by Paul Lévy in 1937.
There are applications of the additive process in quantitative finance (this family of processes can capture important features of the implied volatility) and in digital image processing.
Definition
An additive process is a generalization of a Lévy process obtained relaxing the hypothesis of identically distributed increments. Thanks to this feature an additive process can describe more complex phenomenons than a Lévy process.
A stochastic process on such that almost surely is an additive process if it satisfy the following hypothesis:
It has independent increments.
It is continuous in probability.
Main properties
Independent increments
A stochastic process has independent increments if and only if for any the random variable is independent from the random variable .
Continuity in probability
A stochastic process is continuous in probability if, and only if, for any
Lévy–Khintchine representation
There is a strong link between additive process and infinitely divisible distributions. An additive process at time has an infinitely divisible distribution characterized by the generating triplet . is a vector in , is a matrix in and is a measure on such that
and .
is called drift term, covariance matrix and Lévy measure.
It is possible to write explicitly the additive process characteristic function using the Lévy–Khintchine formula:
where is a vector in and is the indicator function of the set .
A Lèvy process characteristic function has the same structure but with and with a vector in , a positive definite matrix in and is a measure on .
Existence and uniqueness in law of additive process
The following result together with the Lévy–Khintchine formula characterizes the additive process.
Let be an additive process on . Then, its infinitely divisible distribution is such that:
For all , is a positive definite matrix.
and for all is such that , is a positive definite matrix and for every in .
If and every in , .
Conversely for family of infinitely divisible distributions characterized by a generating triplet that satisfies 1, 2 and 3, it exists an additive process with this distribution.
Subclass of additive process
Additive Logistic Process
Family of additive processes with generalized logistic distribution. Their 5 parameters characteristic function is
Two subcases of additive logistic process are the symmetric logistic additive process with standard logistic distribution (, , ) and the conjugate-power Dagum additive process with Dagum distrib
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https://en.wikipedia.org/wiki/Graph%20Fourier%20transform
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In mathematics, the graph Fourier transform is a mathematical transform which eigendecomposes the Laplacian matrix of a graph into eigenvalues and eigenvectors. Analogously to the classical Fourier transform, the eigenvalues represent frequencies and eigenvectors form what is known as a graph Fourier basis.
The Graph Fourier transform is important in spectral graph theory. It is widely applied in the recent study of graph structured learning algorithms, such as the widely employed convolutional networks.
Definition
Given an undirected weighted graph , where is the set of nodes with ( being the number of nodes) and is the set of edges, a graph signal is a function defined on the vertices of the graph . The signal maps every vertex to a real number . Any graph signal can be projected on the eigenvectors of the Laplacian matrix . Let and be the eigenvalue and eigenvector of the Laplacian matrix (the eigenvalues are sorted in an increasing order, i.e., ), the graph Fourier transform (GFT) of a graph signal on the vertices of is the expansion of in terms of the eigenfunctions of . It is defined as:
where .
Since is a real symmetric matrix, its eigenvectors form an orthogonal basis. Hence an inverse graph Fourier transform (IGFT) exists, and it is written as:
Analogously to the classical Fourier transform, graph Fourier transform provides a way to represent a signal in two different domains: the vertex domain and the graph spectral domain. Note that the definition of the graph Fourier transform and its inverse depend on the choice of Laplacian eigenvectors, which are not necessarily unique. The eigenvectors of the normalized Laplacian matrix are also a possible base to define the forward and inverse graph Fourier transform.
Properties
Parseval's identity
The Parseval relation holds for the graph Fourier transform, that is, for any
This gives us Parseval's identity:
Generalized convolution operator
The definition of convolution between two functions and cannot be directly applied to graph signals, because the signal translation is not defined in the context of graphs. However, by replacing the complex exponential shift in classical Fourier transform with the graph Laplacian eigenvectors, convolution of two graph signals can be defined as:
Properties of the convolution operator
The generalized convolution operator satisfies the following properties:
Generalized convolution in the vertex domain is multiplication in the graph spectral domain:
Commutativity:
Distributivity:
Associativity:
Associativity with scalar multiplication: , for any .
Multiplicative identity: , where is an identity for the generalized convolution operator.
The sum of the generalized convolution of two signals is a constant times the product of the sums of the two signals:
Generalized translation operator
As previously stated, the classical translation operator cannot be generalized to the graph setting. One way to define a gen
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https://en.wikipedia.org/wiki/Renetta%20Garrison%20Tull
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Renetta Garrison Tull is an American electrical engineer, global policy strategist, and works to advance diversity and inclusion in science, technology, engineering, and mathematics (STEM). Tull is the inaugural Vice Chancellor of Diversity, Equity, and Inclusion at University of California, Davis and a founding Director of the National Science Foundation funded program PROMISE: Alliances for Graduate Education and Professoriate, which aims to increase the number of underrepresented students in STEM. Tull previously served as Vice Provost for Strategic Initiatives at the University of Maryland, Baltimore County (UMBC) and was also the Director of Graduate and Professional Pipeline Development for the University System of Maryland (USM) where she also served as the co-Principal Investigator and co-director of the Louis Stokes Alliance for Minority Participation. On a global scale, Tull was selected as the keynote speaker for the United Nations Educational, Scientific and Cultural Organization (UNESCO) event on the Commission on the Status of Women in Engineering Fields, and was the only American and only female finalist for the Global Engineering Deans Council Airbus Diversity Award in 2015.
Early life and education
Tull grew up in Plainfield, New Jersey and was interested in medicine and science from a young age. Her father inspired her to pursue passions in science, despite the obstacles Black people face in pursuing STEM careers, and he gave her confidence that she could succeed. Following her interest in science, Tull attended Howard University, a historically Black university, in 1987 and pursued her undergraduate education in Electrical Engineering. She focused her degree in Signal Processing and graduated with her Bachelors of Science in Electrical Engineering in 1991.
After completing her undergraduate degree, Tull pursued her Masters of Science in Electrical Engineering at Northwestern University, focusing in Speech Signal Processing. After completing her master's degree in 1994, Tull stayed at Northwestern to complete her PhD in Speech Science, with a focus in exploring disability access to technology.
Tull completed her PhD in 1999 and then pursued a short postdoctoral fellowship studying Vocal Physiology at the University of Wisconsin-Madison in 1999 before becoming a Research Assistant and then Research Associate developing novel technologies to aid people with disabilities.
Career and research
From 2000 to 2001, Tull was an assistant professor at the University of Wisconsin-Madison in the Department of Communication Sciences and Disorders where she focused on technology development for persons with disabilities.
In 2003, Tull was appointed to the faculty at the University of Maryland, College Park as an Adjunct Faculty in the Department of Hearing and Speech Sciences while at the same time becoming the Founding Director of the National Science Foundation funded PROMISE: Maryland's Alliance for Graduate Education and Professori
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https://en.wikipedia.org/wiki/Ryudai%20Maeda
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is a Japanese footballer currently playing as a midfielder for Cerezo Osaka.
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Japanese men's footballers
Men's association football midfielders
J3 League players
Cerezo Osaka players
Cerezo Osaka U-23 players
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https://en.wikipedia.org/wiki/Onye%20Ogochukwu
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Promise Onye Ogochukwu (born 13 March 2002) is a Nigerian footballer currently playing as a forward for YSCC Yokohama of J3 League.
Career statistics
Club
.
Notes
References
External links
Onye Ogochukwu at YSCC Yokohama
2002 births
Living people
Nigerian men's footballers
Nigerian expatriate men's footballers
Men's association football forwards
J3 League players
YSCC Yokohama players
Nigerian expatriate sportspeople in Japan
Expatriate men's footballers in Japan
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https://en.wikipedia.org/wiki/Eitaro%20Matsuda
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is a Japanese footballer currently playing as a winger for Albirex Niigata, on loan from Yokohama F. Marinos.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football forwards
J1 League players
J2 League players
J3 League players
Yokohama F. Marinos players
SC Sagamihara players
Omiya Ardija players
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https://en.wikipedia.org/wiki/Yuya%20Taguchi
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is a Japanese footballer currently playing as a forward for Gainare Tottori.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Sportspeople from Mie Prefecture
Association football people from Mie Prefecture
Japanese men's footballers
Men's association football forwards
J3 League players
Cerezo Osaka players
Gainare Tottori players
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https://en.wikipedia.org/wiki/Issei%20Ouchi
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is a professional footballer currently playing as a goalkeeper for Yokohama FC. Born in Italy, Ouchi has represented Japan at youth international level.
Career statistics
Club
.
Notes
References
External links
2000 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football goalkeepers
J1 League players
J2 League players
J3 League players
Yokohama FC players
YSCC Yokohama players
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https://en.wikipedia.org/wiki/So%20Kawahara
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is a Japanese professional footballer who plays as a midfielder for club Sagan Tosu.
Career statistics
.
Honours
Individual
J2 League Best XI: 2022
References
External links
Profile at Roasso Kumamoto
1998 births
Living people
Japanese men's footballers
Men's association football midfielders
Fukuoka University alumni
J1 League players
J2 League players
J3 League players
Roasso Kumamoto players
Sagan Tosu players
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https://en.wikipedia.org/wiki/Riku%20Hashimoto
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is a Japanese footballer currently playing as a defender for SC Sagamihara from 2023.
Career statistics
Club
.
Notes
References
External links
1998 births
Living people
Sportspeople from Saitama Prefecture
Hosei University alumni
Japanese men's footballers
Men's association football defenders
J3 League players
Fukushima United FC players
SC Sagamihara players
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https://en.wikipedia.org/wiki/Toshiki%20Takahashi%20%28footballer%29
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is a Japanese footballer currently playing as a forward for J1 League club Urawa Red Diamonds.
Career statistics
Club
.
Honours
Club
Urawa Red Diamonds
AFC Champions League: 2022
Individual
J2 League Best XI: 2022
References
External links
Profile at Roasso Kumamoto
1998 births
Living people
Sportspeople from Saitama Prefecture
Association football people from Saitama Prefecture
Kokushikan University alumni
Japanese men's footballers
Men's association football forwards
J1 League players
J2 League players
J3 League players
Roasso Kumamoto players
Urawa Red Diamonds players
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https://en.wikipedia.org/wiki/Yusuke%20Imamura
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is a Japanese footballer currently playing as a forward for Azul Claro Numazu.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football forwards
Kanto Gakuin University alumni
J3 League players
Azul Claro Numazu players
Association football people from Kawasaki, Kanagawa
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https://en.wikipedia.org/wiki/Naoki%20Kanuma
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is a Japanese professional footballer who plays as a defensive midfielder for J.League club Júbilo Iwata.
Club statistics
References
External links
Profile at Júbilo Iwata
1997 births
Living people
Japanese men's footballers
Men's association football midfielders
Senshu University alumni
J1 League players
J2 League players
J3 League players
SC Sagamihara players
Júbilo Iwata players
Association football people from Saitama (city)
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https://en.wikipedia.org/wiki/Yuma%20Funabashi
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is a Japanese footballer currently playing as a defender for Nagano Parceiro.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Association football people from Tokyo
Japanese men's footballers
Men's association football defenders
J3 League players
YSCC Yokohama players
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https://en.wikipedia.org/wiki/Yuki%20Shikama
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is a Japanese footballer currently playing as a forward for Iwate Grulla Morioka.
Career statistics
Club
''Updated to January 1st, 2022.
Notes
References
External links
1997 births
Living people
Association football people from Chiba Prefecture
Tokyo Gakugei University alumni
Japanese men's footballers
Men's association football forwards
J3 League players
Kashima Antlers players
Iwate Grulla Morioka players
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https://en.wikipedia.org/wiki/Tomoyasu%20Yoshida
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is a Japanese footballer currently playing as a defender for Tochigi SC.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
People from Takasaki, Gunma
Sportspeople from Gunma Prefecture
Association football people from Gunma Prefecture
Sanno Institute of Management alumni
Japanese men's footballers
Men's association football defenders
J3 League players
Fukushima United FC players
Montedio Yamagata players
Tochigi SC players
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https://en.wikipedia.org/wiki/Yuta%20Shimozawa
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is a Japanese footballer currently playing as a midfielder for Tegevajaro Miyazaki.
Career statistics
Club
.
Notes
Honours
Blaublitz Akita
J3 League (1): 2020
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football midfielders
Hosei University alumni
J3 League players
Kashiwa Reysol players
Blaublitz Akita players
|
https://en.wikipedia.org/wiki/Yuji%20Yoshida
|
is a Japanese footballer currently playing as a forward for Cerezo Osaka.
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Sportspeople from Chiba Prefecture
Association football people from Chiba Prefecture
Japanese men's footballers
Men's association football forwards
J3 League players
Cerezo Osaka players
Cerezo Osaka U-23 players
|
https://en.wikipedia.org/wiki/Naoki%20Inoue%20%28footballer%29
|
is a Japanese footballer who plays as a midfielder for J2 League club Blaublitz Akita.
Career statistics
Club
.
Notes
Honours
Blaublitz Akita
J3 League (1): 2020
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football forwards
Biwako Seikei Sport College alumni
J3 League players
Blaublitz Akita players
|
https://en.wikipedia.org/wiki/Kazuya%20Ando
|
is a Japanese footballer currently playing as a forward for FC Imabari.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Association football people from Chiba Prefecture
Tokyo University of Agriculture alumni
Japanese men's footballers
Men's association football defenders
J3 League players
FC Imabari players
Gainare Tottori players
|
https://en.wikipedia.org/wiki/Taiki%20Arai
|
is a Japanese footballer currently playing as a midfielder for Fujieda MYFC.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Association football people from Kanagawa Prefecture
Sanno Institute of Management alumni
Japanese men's footballers
Men's association football midfielders
J3 League players
Shonan Bellmare players
Gainare Tottori players
|
https://en.wikipedia.org/wiki/Yu%20Okubo
|
is a Japanese footballer currently playing as a forward for Gainare Tottori.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football forwards
Kansai University alumni
J3 League players
Gainare Tottori players
|
https://en.wikipedia.org/wiki/Minoru%20Hanafusa
|
is a Japanese footballer currently playing as a defender for YSCC Yokohama.
Career statistics
Club
.
Notes
References
External links
1996 births
Living people
Association football people from Tokyo
Kokushikan University alumni
Japanese men's footballers
Men's association football defenders
J3 League players
Tokyo Musashino United FC players
FC Ryukyu players
YSCC Yokohama players
|
https://en.wikipedia.org/wiki/Wataru%20Harada
|
is a Japanese footballer currently playing as a right back for Sagan Tosu.
Career statistics
Club
.
Notes
References
External links
1996 births
Living people
Sportspeople from Kobe
Association football people from Hyōgo Prefecture
Nippon Sport Science University alumni
Japanese men's footballers
Men's association football defenders
Japan Football League players
J1 League players
J3 League players
FC Imabari players
Sagan Tosu players
|
https://en.wikipedia.org/wiki/Shoma%20Otoizumi
|
is a Japanese footballer currently playing as a forward for Nagano Parceiro on loan from Mito HollyHock.
Career statistics
Club
Updated to the end 2022 season.
Notes
References
External links
1996 births
Living people
Japanese men's footballers
Men's association football forwards
Tokyo International University alumni
J2 League players
J3 League players
Tokyo 23 FC players
YSCC Yokohama players
Kataller Toyama players
Mito HollyHock players
AC Nagano Parceiro players
|
https://en.wikipedia.org/wiki/Shota%20Aizawa
|
is a Japanese footballer currently playing as a midfielder for Nankatsu SC.
Career statistics
Club
.
Notes
See also
Football in Japan
References
External links
1996 births
Living people
Association football people from Tokyo
Ryutsu Keizai University alumni
Japanese men's footballers
Japanese expatriate men's footballers
Men's association football midfielders
Japan Football League players
National Premier Leagues players
J3 League players
Roasso Kumamoto players
Japanese expatriate sportspeople in Australia
Expatriate men's soccer players in Australia
|
https://en.wikipedia.org/wiki/Yuta%20Sasaki%20%28footballer%29
|
is a retired Japanese footballer who played as a forward.
Career statistics
Club
.
Notes
References
External links
1996 births
Living people
Sportspeople from Chiba Prefecture
Association football people from Chiba Prefecture
Japanese men's footballers
Japanese expatriate men's footballers
Men's association football forwards
J3 League players
Independiente F.B.C. footballers
VfR Mannheim players
Cherry Orchard F.C. players
Cabinteely F.C. players
Iwate Grulla Morioka players
Expatriate men's footballers in Paraguay
Japanese expatriate sportspeople in Germany
Expatriate men's footballers in Germany
Japanese expatriate sportspeople in Ireland
Expatriate men's association footballers in the Republic of Ireland
|
https://en.wikipedia.org/wiki/Ryoya%20Iizumi
|
is a Japanese footballer currently playing as a forward for FC Imabari.
Career statistics
Club
.
Notes
References
External links
1995 births
Living people
People from Hachiōji, Tokyo
Japanese men's footballers
Men's association football forwards
Waseda University alumni
Japan Football League players
J3 League players
FC Imabari players
|
https://en.wikipedia.org/wiki/Masashi%20Otani%20%28footballer%2C%20born%201994%29
|
is a Japanese footballer currently playing as a midfielder for Iwate Grulla Morioka.
Career statistics
Club
.
Notes
References
External links
1994 births
Living people
Japanese men's footballers
Men's association football midfielders
Komazawa University alumni
Montenegrin First League players
J3 League players
Sanfrecce Hiroshima players
OFK Titograd players
FK Kom players
Iwate Grulla Morioka players
|
https://en.wikipedia.org/wiki/Kazuki%20Okayama
|
is a Japanese footballer currently playing as a midfielder for FC Imabari.
Career statistics
Club
.
Notes
References
External links
1994 births
Living people
Japanese men's footballers
Men's association football midfielders
Osaka Sangyo University alumni
Japan Football League players
J3 League players
FC Imabari players
|
https://en.wikipedia.org/wiki/Ryota%20Kuwajima
|
is a Japanese footballer currently playing as a forward for Nara Club.
Career statistics
Club
.
Notes
References
External links
1992 births
Living people
Japanese men's footballers
Men's association football forwards
Kanto Gakuin University alumni
Japan Football League players
J3 League players
FC Osaka players
FC Imabari players
Nara Club players
|
https://en.wikipedia.org/wiki/Jun%20Arima
|
is a Japanese footballer currently playing as a forward for Vanraure Hachinohe.
Career statistics
Club
Updated to January 1st, 2022.
Notes
References
External links
1992 births
Living people
People from Uwajima, Ehime
Association football people from Ehime Prefecture
Kochi University alumni
Japanese men's footballers
Men's association football forwards
Japan Football League players
J3 League players
Sony Sendai FC players
FC Imabari players
Vanraure Hachinohe players
|
https://en.wikipedia.org/wiki/Takafumi%20Yamada
|
is a Japanese footballer currently playing as a midfielder for FC Imabari.
Career statistics
Club
.
Notes
References
External links
1992 births
Living people
Sportspeople from Ehime Prefecture
Association football people from Ehime Prefecture
Japanese men's footballers
Men's association football midfielders
Osaka University of Health and Sport Sciences alumni
Japan Football League players
J3 League players
Minebea Mitsumi FC players
FC Imabari players
|
https://en.wikipedia.org/wiki/Yuta%20Murase
|
is a Japanese footballer currently playing as a midfielder for Vanraure Hachinohe.
Career statistics
Club
.
Notes
References
External links
1989 births
Living people
Japanese men's footballers
Men's association football midfielders
Ryutsu Keizai University alumni
Japan Football League players
J3 League players
Matsumoto Yamaga FC players
Fujieda MYFC players
ReinMeer Aomori players
Nara Club players
Vanraure Hachinohe players
|
https://en.wikipedia.org/wiki/Kazuki%20Fujita
|
is a Japanese footballer currently playing as a goalkeeper for Tochigi SC on loan from Albirex Niigata.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Association football people from Niigata Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football goalkeepers
J2 League players
Albirex Niigata players
|
https://en.wikipedia.org/wiki/Keisuke%20Nishimura
|
is a Japanese footballer currently playing as a defender for Montedio Yamagata, on loan from Omiya Ardija.
Career statistics
Club
.
Notes
References
External links
1998 births
Living people
Japanese men's footballers
Men's association football defenders
Senshu University alumni
J2 League players
Omiya Ardija players
|
https://en.wikipedia.org/wiki/Kai%20Matsuzaki
|
is a Japanese footballer currently playing as a winger for Urawa Red Diamonds.
Career statistics
Club
.
Notes
Honours
Club
Urawa Red Diamonds
Japanese Super Cup: 2022
AFC Champions League: 2022
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football midfielders
Toyo University alumni
J2 League players
Omiya Ardija players
Mito HollyHock players
Urawa Red Diamonds players
J1 League players
|
https://en.wikipedia.org/wiki/Toshiki%20Mori
|
is a Japanese footballer currently playing as a midfielder for Tochigi SC.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football midfielders
Hosei University alumni
J2 League players
Tochigi SC players
|
https://en.wikipedia.org/wiki/Kota%20Muramatsu
|
is a Japanese footballer currently playing as a midfielder for Giravanz Kitakyushu, on loan from V-Varen Nagasaki.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football midfielders
Juntendo University alumni
J2 League players
Giravanz Kitakyushu players
V-Varen Nagasaki players
|
https://en.wikipedia.org/wiki/Takashi%20Abe%20%28footballer%29
|
is a Japanese footballer currently playing as a defender for Fagiano Okayama, on loan from Tokushima Vortis.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Association football people from Osaka Prefecture
Chuo University alumni
Japanese men's footballers
Men's association football defenders
J2 League players
J1 League players
Tokushima Vortis players
Fagiano Okayama players
|
https://en.wikipedia.org/wiki/Felix%20Kerber
|
Felix Kerber (born 25 October 2002) is an Austrian professional footballer who plays as a forward for FC Dornbirn, on loan from WSG Tirol.
Career statistics
Club
References
2002 births
Living people
Austrian men's footballers
Men's association football forwards
Austrian Football Bundesliga players
2. Liga (Austria) players
WSG Tirol players
FC Dornbirn 1913 players
People from Hall in Tirol
Footballers from Tyrol (state)
|
https://en.wikipedia.org/wiki/Sebastian%20Pop
|
Sebastian Pop (born 24 May 2002) is a Norwegian footballer currently playing as a midfielder for Fram Larvik on loan from Strømsgodset.
Career statistics
Club
Notes
References
2002 births
Living people
Norwegian men's footballers
Norwegian people of Romanian descent
Men's association football midfielders
Eliteserien players
Strømsgodset Toppfotball players
IF Fram Larvik players
|
https://en.wikipedia.org/wiki/1948%E2%80%9349%20Rochdale%20A.F.C.%20season
|
The 1948–49 season saw Rochdale compete for their 21st season in the Football League Third Division North.
Statistics
|}
Final league table
Competitions
Football League Third Division North
F.A. Cup
Lancashire Cup
References
Rochdale A.F.C. seasons
Rochdale
|
https://en.wikipedia.org/wiki/Doyle%20spiral
|
In the mathematics of circle packing, a Doyle spiral is a pattern of non-crossing circles in the plane in which each circle is surrounded by a ring of six tangent circles. These patterns contain spiral arms formed by circles linked through opposite points of tangency, with their centers on logarithmic spirals of three different shapes.
Doyle spirals are named after mathematician Peter G. Doyle, who made an important contribution to their mathematical construction in the late 1980s or However, their study in phyllotaxis (the mathematics of plant growth) dates back to the early
Definition
A Doyle spiral is defined to be a certain type of circle packing, consisting of infinitely many circles in the plane, with no two circles having overlapping interiors. In a Doyle spiral, each circle is enclosed by a ring of six other circles. The six surrounding circles are tangent to the central circle and to their two neighbors in the
Properties
Radii
As Doyle the only way to pack circles with the combinatorial structure of a Doyle spiral is to use circles whose radii are also highly For any such packing, there must exist three positive real numbers so that each circle of radius is surrounded by circles whose radii are (in cyclic order)
Only certain triples of numbers come from Doyle spirals; others correspond to systems of circles that eventually overlap each
Arms
In a Doyle spiral, one can group the circles into connecting chains of circles through opposite points of tangency. These have been called arms, following the same terminology used for Within each arm, the circles have radii in a doubly infinite geometric sequence
or a sequence of the same type with common multiplier In most Doyle spirals, the centers of the circles on a single arm lie on a logarithmic spiral, and all of the logarithmic spirals obtained in this way meet at a single central point. Some Doyle spirals instead have concentric circular arms (as in the stained glass window shown) or straight
Counting the arms
The precise shape of any Doyle spiral can be parameterized by three natural numbers, counting the number of arms of each of its three shapes. When one shape of arm occurs infinitely often, its count is defined as 0, rather The smallest arm count equals the difference of the other two arm counts, so any Doyle spiral can be described as being of where and are the two largest counts, in the sorted order
Every pair with determines a Doyle spiral, with its third and smallest arm count equal to . The shape of this spiral is determined uniquely by these counts, up to For a spiral of the radius multipliers are algebraic numbers whose polynomials can be determined from These radius multipliers can be accurately approximated by a numerical search, and the results of this search can be used to determine numerical values for the sizes and positions of all of the
Symmetry
Doyle spirals have symmetries that combine scaling and rotation around the central point
|
https://en.wikipedia.org/wiki/Jill%20DeMatteis
|
Jill Marie Montaquila DeMatteis is an American statistician specializing in survey methodology. She has worked as a statistician in the US Bureau of Labor Statistics, and is a research associate professor at the University of Maryland, College Park and a vice president in the Statistics and Evaluation Sciences Group of Westat.
Education and career
DeMatteis graduated from Ashland College in 1989, majoring in mathematics and economics; she credits Ashland mathematics professor Alan G. Poorman with her decision to study mathematics there. After earning a master's degree in statistics from Miami University in Ohio, she became a Bureau of Labor Statistics researcher from 1991 to 1995.
She moved to Westat in 1995 and returned to graduate study, completing her Ph.D. at American University in 1998. Her dissertation, All-Cases Imputation Variance Estimator: A New Approach to Variance Estimation for Imputed Data, was supervised by Robert Jernigan.
Service and recognition
DeMatteis was president of the Washington Statistical Society for 2006–2007, chaired the Survey Research Methods Section of the American Statistical Association (ASA) in 2013, and chaired the ASA Government Statistics Section in 2014.
She was named a Fellow of the American Statistical Association in 2008. In 2016 the Government Statistics Section gave her their Pat Doyle Award.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Ashland University alumni
Miami University alumni
American University alumni
Fellows of the American Statistical Association
|
https://en.wikipedia.org/wiki/Hayate%20Toma
|
is a Japanese footballer currently studying at the Konan University.
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Association football people from Osaka Prefecture
Konan University alumni
Japanese men's footballers
Men's association football defenders
J3 League players
Gamba Osaka players
Gamba Osaka U-23 players
|
https://en.wikipedia.org/wiki/Naoya%20Matsumoto
|
is a Japanese footballer currently playing as a defender for Kamatamare Sanuki.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football defenders
Tokai Gakuen University alumni
J3 League players
Kamatamare Sanuki players
|
https://en.wikipedia.org/wiki/Tomoya%20Takeshita
|
is a Japanese footballer currently playing as a defender for Kamatamare Sanuki.
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Association football people from Kagawa Prefecture
Japanese men's footballers
Men's association football defenders
J3 League players
Kamatamare Sanuki players
|
https://en.wikipedia.org/wiki/Taiyo%20Shimokawa
|
is a Japanese footballer currently playing as a defender for Kamatamare Sanuki.
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football defenders
J3 League players
Cerezo Osaka players
Cerezo Osaka U-23 players
Kamatamare Sanuki players
|
https://en.wikipedia.org/wiki/Ikki%20Kawasaki
|
is a Japanese footballer currently playing as a forward for Kamatamare Sanuki.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football forwards
Osaka University of Economics alumni
J3 League players
Kamatamare Sanuki players
|
https://en.wikipedia.org/wiki/Kazuki%20Hattori
|
is a Japanese footballer currently playing as a goalkeeper for Fukushima United.
Career statistics
Club
.
Notes
References
External links
1995 births
Living people
People from Suginami
Association football people from Tokyo
Meiji University alumni
Japanese men's footballers
Men's association football goalkeepers
J3 League players
FC Tokyo players
Kataller Toyama players
Kamatamare Sanuki players
Fukushima United FC players
|
https://en.wikipedia.org/wiki/Kazuki%20Iwamoto
|
is a Japanese footballer currently playing as a midfielder for Kamatamare Sanuki.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football midfielders
Kwansei Gakuin University alumni
J3 League players
Kamatamare Sanuki players
|
https://en.wikipedia.org/wiki/Mark%20Ajay%20Kurita
|
is a Japanese footballer who plays forward, though he is not currently associated with a club.
Career statistics
Club
.
Notes
References
External links
1998 births
Living people
Japanese men's footballers
Men's association football forwards
Shizuoka Sangyo University alumni
J3 League players
Japan Football League players
Kamatamare Sanuki players
Suzuka Point Getters players
|
https://en.wikipedia.org/wiki/Kim%20Ho-yeong
|
Kim Ho-yeong (; born 26 April 1997) is a South Korean footballer currently playing as a defender for Kamatamare Sanuki.
Club statistics
.
Notes
References
External links
1997 births
Living people
South Korean men's footballers
South Korean expatriate men's footballers
Men's association football defenders
Yeungnam University alumni
Kim Ho-yeong
Kim Ho-yeong
Kamatamare Sanuki players
South Korean expatriate sportspeople in Thailand
Expatriate men's footballers in Thailand
South Korean expatriate sportspeople in Japan
Expatriate men's footballers in Japan
People from Ansan
Footballers from Gyeonggi Province
|
https://en.wikipedia.org/wiki/Hiroya%20Sueki
|
is a Japanese footballer currently playing as a midfielder for Kataller Toyama.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Japanese men's footballers
Men's association football midfielders
Hosei University alumni
J3 League players
Kataller Toyama players
|
https://en.wikipedia.org/wiki/Nobuki%20Iketaka
|
is a Japanese footballer currently playing as a midfielder for Giravanz Kitakyushu.
Career statistics
Club
.
Notes
References
External links
2000 births
Living people
Japanese men's footballers
Men's association football midfielders
J3 League players
Urawa Red Diamonds players
Kataller Toyama players
Fukushima United FC players
Giravanz Kitakyushu players
|
https://en.wikipedia.org/wiki/Hiroyuki%20Tsubokawa
|
is a Japanese footballer currently playing as a midfielder for Nagano Parceiro.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Association football people from Hokkaido
Toyo University alumni
Japanese men's footballers
Men's association football midfielders
J3 League players
AC Nagano Parceiro players
|
https://en.wikipedia.org/wiki/Ibuki%20Yoshida
|
is a Japanese footballer currently playing as a forward for Blaublitz Akita.
Career statistics
Club
.
Notes
References
External links
Profile at Nagano
1997 births
Living people
Sportspeople from Miyagi Prefecture
Association football people from Miyagi Prefecture
Sanno Institute of Management alumni
Japanese men's footballers
Men's association football forwards
J2 League players
J3 League players
Vegalta Sendai players
AC Nagano Parceiro players
Blaublitz Akita players
|
https://en.wikipedia.org/wiki/Niki%20Urakami
|
is a Japanese footballer currently playing as a defender for Ventforet Kofu.
Career statistics
Club
.
Notes
Honours
Club
Ventforet Kofu
Emperor's Cup: 2022
References
External links
1996 births
Living people
Sportspeople from Ibaraki Prefecture
Association football people from Ibaraki Prefecture
Toyo University alumni
Japanese men's footballers
Men's association football defenders
J3 League players
J2 League players
AC Nagano Parceiro players
Ventforet Kofu players
|
https://en.wikipedia.org/wiki/Ramne
|
Ramne () is a village in the municipality of Ohrid, North Macedonia.
Demographics
According to the statistics of the Bulgarian ethnographer Vasil Kanchov from 1900, 140 inhabitants lived in Ramne, all Bulgarian Exarchists.
As of the 2021 census, Ramne had 617 residents with the following ethnic composition:
Macedonians 595
Serbs 7
Others 7
Persons for whom data are taken from administrative sources 6
According to the 2002 census, the village had a total of 632 inhabitants. Ethnic groups in the village include:
Macedonians 594
Turks 11
Serbs 6
Albanians 2
Aromanians 2
Others 17
References
Villages in Ohrid Municipality
|
https://en.wikipedia.org/wiki/Soma%20Ishigamori
|
is a Japanese footballer currently playing as a midfielder for Vanraure Hachinohe.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Japanese men's footballers
Men's association football midfielders
J3 League players
Vanraure Hachinohe players
|
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