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https://en.wikipedia.org/wiki/Yang%20Likai
Yang Likai (; born 29 March 2001), formerly known as Yang Jiatao (), is a Chinese footballer who plays as a midfielder. Career statistics Club . References 2001 births Living people Chinese men's footballers Men's association football midfielders Chinese Super League players Qingdao F.C. players
https://en.wikipedia.org/wiki/Ci%20Henglong
Ci Henglong (; born 3 May 2000) is a Chinese footballer currently playing as a goalkeeper for Changchun Yatai. Career statistics Club . References 2000 births Living people Chinese men's footballers Men's association football goalkeepers Chinese Super League players Beijing Chengfeng F.C. players Heilongjiang Ice City F.C. players Changchun Yatai F.C. players
https://en.wikipedia.org/wiki/Zhang%20Zijian
Zhang Zijian (; born 5 April 1997) is a Chinese footballer currently playing as a center back for Chinese club Ji'nan Xingzhou. Career statistics Club . References 1997 births Living people Chinese men's footballers Men's association football defenders China League One players Shenyang Dongjin F.C. players Beijing Guoan F.C. players Changchun Yatai F.C. players
https://en.wikipedia.org/wiki/Bai%20Xuesong%20%28footballer%29
Bai Xuesong (; born 12 December 2001) is a Chinese footballer currently playing as a forward for Changchun Yatai. Career statistics Club . References 2001 births Living people Chinese men's footballers Men's association football forwards Changchun Yatai F.C. players 21st-century Chinese people
https://en.wikipedia.org/wiki/South%20Yemen%20national%20football%20team%20results
This page details the match results and statistics of the South Yemen national football team. Key Key to matches Att.=Match attendance (H)=Home ground (A)=Away ground (N)=Neutral ground Key to record by opponent Pld=Games played W=Games won D=Games drawn L=Games lost GF=Goals for GA=Goals against Results South Yemen's score is shown first in each case. Notes Record by opponent References Yemen national football team results
https://en.wikipedia.org/wiki/Henry%20%28footballer%29
Henry Miyamoto Garcia Silva (born 19 March 1999), commonly known as Henry, is a Brazilian footballer who currently plays as a forward for Paulista, on loan from Osasco Audax. Career statistics Club References 1999 births Living people Footballers from São Paulo Brazilian men's footballers Men's association football forwards Clube Atlético Mineiro players Grêmio Osasco Audax Esporte Clube players S.C. Braga players S.C. Braga B players Paulista Futebol Clube players Brazilian expatriate men's footballers Brazilian expatriate sportspeople in Portugal Expatriate men's footballers in Portugal
https://en.wikipedia.org/wiki/Japa%20%28footballer%2C%20born%201990%29
Endheu Kléber Nesiyama (born 28 March 1990), commonly known as Japa, is a former Brazilian footballer. Career statistics Club References 1990 births Living people Brazilian people of Japanese descent Footballers from São Paulo Brazilian men's footballers Men's association football forwards S.C. Espinho players S.C. Covilhã players F.C. Oliveira do Hospital players Brazilian expatriate men's footballers Brazilian expatriate sportspeople in Portugal Expatriate men's footballers in Portugal
https://en.wikipedia.org/wiki/Mahouton%20Norbert%20Hounkonnou
Mahouton Norbert Hounkonnou is a Beninese Professor, mathematician, physicist and writer. He is professor of Mathematics and Physics at the University of Abomey-Calavi. Biography He was born on June 7, 1956, in Adjohoun (Benin Republic), and is married to Baï Arlette Lidwine Elisha (Physicist), with three children. His works have been cited over 1200 times per Google Scholar. Selected works 2013, R (p, q)-calculus: differentiation and integration, MN Hounkonnou, J Désiré, B Kyemba, SUT J. Math 49 (2), 145-167 2012, Modeling the influence of local environmental factors on malaria transmission in Benin and its implications for cohort study, G Cottrell, B Kouwaye, C Pierrat, A Le Port, A Bouraïma, N Fonton, ..., PLOS ONE 7 (1), e28812 1992, Liquid chlorine in shear and elongational flows: A nonequilibrium molecular dynamics study, MN Hounkonnou, C Pierleoni, JP Ryckaert, The Journal of chemical physics 97 (12), 9335-9344 References External links 1956 births Living people Beninese scientists Fellows of the African Academy of Sciences
https://en.wikipedia.org/wiki/Jes%C3%BAs%20Pi%C3%B1uelas
Jesús Fernando Piñuelas Sandoval (born 27 March 1998) is a Mexican professional footballer who plays as a centre-back for Liga MX club Toluca. Career statistics Club References External links Living people 1998 births Men's association football defenders Atlético San Luis footballers Liga MX players Liga Premier de México players Tercera División de México players Footballers from Baja California Sur Mexican men's footballers
https://en.wikipedia.org/wiki/Jair%20D%C3%ADaz%20%28footballer%29
Jair Alberto Díaz Vázquez (born 21 August 1998) is a Mexican professional footballer who plays as a left-back for Liga MX club Mazatlán. Career statistics Honours Tigres UANL Liga MX: Apertura 2017, Clausura 2019 Campeón de Campeones: 2017 References External links Living people 1998 births Ascenso MX players Men's association football defenders Atlético San Luis footballers Liga MX players Tigres UANL footballers Venados F.C. players Footballers from San Luis Potosí Sportspeople from San Luis Potosí City Mexican men's footballers
https://en.wikipedia.org/wiki/Chile%20national%20football%20team%20results%20%282000%E2%80%932019%29
This page details the match results and statistics of the Chile national football team from 2000 to 2019. Key Key to matches Att.=Match attendance (H)=Home ground (A)=Away ground (N)=Neutral ground Key to record by opponent Pld=Games played W=Games won D=Games drawn L=Games lost GF=Goals for GA=Goals against Results Chile's score is shown first in each case. Notes Record by opponent References Chile national football team results
https://en.wikipedia.org/wiki/Laura%20O%27Dwyer
Laura Mary O'Dwyer is a professor of Measurement, Evaluation, and Statistics at Boston College known for her work on examining the impact of technology in education, especially science education, and for quantifying outcomes for K-12 student success. Education and career O'Dwyer has a B.Sc. (1992) and an M.Sc. (1993) from the National University of Ireland. She earned her Ph.D. from Boston College in 2000, where she worked on modeling data from the Trends in International Mathematics and Science Study. Following her Ph.D., she worked at University of Massachusetts Lowell until she joined the faculty of Boston College in 2006. O'Dwyer is an associate editor of Irish Educational Studies journal and co-edited a special edition of Journal of Technology, Learning and Assessment on the topic of One-to-one computing. In September 2021, the National Science Foundation announced funding for new Science and Technology Centers and O'Dwyer is participating in the center being led by Woods Hole Oceanographic Institution. Research O'Dwyer is known for her application of statistical tools to qualitative data, particularly with respect to analysis of educational outcomes. Her textbook, Quantitative Research for the Qualitative Researcher, was published in 2014. O'Dwyer's graduate research examined data from the Trends in International Mathematics and Science Study, a study which she has further examined to compare success in math across different nations. O'Dwyer has examined math education in the K-12 setting, especially algebra using on-line classes and the perception and assessment of ability in math. In 2016, O'Dwyer received funding from the National Science Foundation to increase student success in algebra. For high school students, O'Dwyer has examined their understanding of models in the study of biology, physics and chemistry. O'Dwyer has also assessed the use of technology in the classroom, specifically the impact of assigning individual laptops to students and teachers in classrooms. Her research on one-to-one computing includes quantifying how these programs influence teaching in the classroom and she has examined how e-learning benefits teachers in addition to the students. Locally, O'Dwyer applies her research to analysis of elementary education, as she did in her town of Milton, Massachusetts in an examination of foreign language classes in 2012. Selected publications O'Dwyer has an h-index of 32 at Google Scholar, and as of September 2021 has over 5800 citations to her publications. Awards and honors Bruce H. Choppin Award, International Association for the Evaluation of Educational Achievement (2002) Teaching with New Media Award, Boston College (2008, 2012) Outstanding Research Award, Division E of the American Education Research Association (AERA, with Paul Poteat and Ethan Mereish; 2014) AERA Learning Environments SIG/Springer Award for best paper, American Education Research Association (with Peoples, Wang, Brown, and Rosca; 2
https://en.wikipedia.org/wiki/Tim%20Oberdorf
Tim Christopher Oberdorf (born 16 August 1996) is a German professional footballer who plays as a centre-back for club Fortuna Düsseldorf. Career statistics Personal life Oberdorf's sister Lena Oberdorf, also a footballer, plays for the Germany national team. References External links 1996 births Living people German men's footballers Sportspeople from Hagen Footballers from Arnsberg (region) Men's association football central defenders TSG Sprockhövel players Fortuna Düsseldorf II players Fortuna Düsseldorf players 2. Bundesliga players Regionalliga players Oberliga (football) players
https://en.wikipedia.org/wiki/Saradaranjan%20Ray
Saradaranjan Ray (26 May 1858 – 30 October 1925) was an Indian teacher of mathematics and Sanskrit who worked at Aligarh University and at Calcutta. He was also a cricket enthusiast and promoter who has been called the "W.G. Grace of India" and as the father of cricket in Bengal. He founded "The Town Club", a cricket club in Calcutta that played against European teams in the Eden Gardens from 1895. He was the elder brother of Upendrakishore Ray Chowdhury and hence a paternal great-uncle of Satyajit Ray. Life Saradaranjan was one of five siblings born to Kalinath and Joytara who came from a wealthy Kishoreganj family. Kalinath (d. 1879), also called Shyamsundar Munshi, knew Persian, Arabic, and Sanskrit, and served as an assistant to the deputy magistrate of Mymensingh. Saradaranjan was educated in Dhaka, where he took an interest in cricket and along with his brothers, Kamadaranjan (Upendrakishore), Muktidaranjan, Kuladaranjan and Pramodaranjan, founded the Dhaka College Cricket Club. He obtained a BA in 1878. He then obtained an MA from Calcutta in 1879 and joined the Aligarh Anglo-Oriental College as a mathematics teacher. He also taught Sanskrit. Ray was known to be physically violent and temperamental. On one occasion his son brought home a goat that disturbed him with its bleating causing him to beat the goat to death. On another occasion, an English soldier in a train annoyed him by putting his leg up on the seat next to him. After the man refused to heed his requests, he reportedly grabbed the man and pulled him onto the floor. Ray moved from Aligarh to Berhampore with a teaching job and then went to Dhaka College for a brief stint before moving to Cuttack. He was then invited by Ishwarchandra Vidyasagar to join the Metropolitan Institution which he joined in 1888, becoming its vice principal in 1892 and principal from 1909 until his death. Footballer Gostha Pal was encouraged by Ray in cricket. Publishing and sports goods After the death of Vidyasagar in 1891, the Metropolitan Institution ran into financial difficulties and Ray did not have a salary. He sought incomes from writing books, mainly commentaries in English on various Sanskrit works. He also conducted tutorials from 1895 charging 100 to 200 rupees per week. He established a printing and sports goods company, S. Ray and Company in 1898 along with his brother-in-law and renowned entrepreneur Hemendra Mohan Bose through which he published the first cricket manual in Bengali in 1899. The company was quite well known in the period and He designed a cricket bat that won a medal in the Indian Industrial and Agricultural Exhibition at Calcutta in 1906. He took a keen interest in fishing, designing baitless hooks and other gear which he sold through his company. Apart from cricket, he also took an interest in football, serving as the first president for the East Bengal Football Club. References External links Ray, Saradaranjan (1918) Kalidasa's Kumarasambhavam. Calcutta:S. R
https://en.wikipedia.org/wiki/Bonnie%20Litwiller
Bonnie Helen Litwiller (February 14, 1937 – January 27, 2012) was an American mathematics educator and textbook author, who worked as a professor of mathematics at the University of Northern Iowa. Life Litwiller was born on February 14, 1937, in Morton, Illinois. She studied mathematics education at Illinois State University, earning bachelor's and master's degrees in 1959 and 1960. She earned a second master's degree in 1965 at Indiana University, and completed a doctorate (Ed.D.) there in 1968. Her doctoral dissertation was Enrichment: A Method of Changing the Attitudes of Prospective Elementary Teachers Toward Mathematics. After working for seven years as a high school teacher in Peoria, Illinois, she joined the faculty of the University of Northern Iowa, where she spent the rest of her career, educating a large fraction of the mathematics teachers in Iowa. She served as president of the Iowa Council of Teachers of Mathematics for 1978–1979. After her retirement in 2000, she returned to Morton. She continued to publish scholarly work on mathematics education into her retirement, eventually amassing over 1000 publications. She died on January 27, 2012, of myelofibrosis. Books Litwiller's books include: Activities for the Maintenance of Computational Skills and the Discovery of Patterns (with David R. Duncan, National Council of Teachers of Mathematics, 1980) Problem Solving with Number Patterns (with David R. Duncan, School Science and Mathematics Association, 1987) Curriculum and Evaluation Standards for School Mathematics: First-Grade Book (with Miriam Leiva, National Council of Teachers of Mathematics, 1991) Making Sense of Fractions, Ratios, and Proportions (edited with George Bright, 2002 Yearbook of the National Council of Teachers of Mathematics) Navigating through Problem Solving and Reasoning in Grade 3 (with Karol L. Yeatts, Michael T. Battista, Sally Mayberry, Denisse R. Thompson, Judith S. Zawojewski, and Peggy A. House, National Council of Teachers of Mathematics, 2004) Recognition In 2003, the Iowa Council of Teachers of Mathematics gave Litwiller their Lifetime Achievement Award. In 2004, the Indiana University School of Education gave her their Distinguished Alumni Award. An endowed scholarship in her name is offered by the Illinois State University to students in mathematics education. Another scholarship, at the University of Northern Iowa, was funded by a bequest from Litwiller's estate. In conjunction with the American Red Cross, the United Church of Christ of Morton, Illinois held a series of annual blood drives in her memory. References 1937 births 2012 deaths 20th-century American mathematicians 21st-century American mathematicians American women mathematicians Mathematics educators Illinois State University alumni Indiana University alumni University of Northern Iowa faculty 20th-century American women 21st-century American women
https://en.wikipedia.org/wiki/Mabuchi%20functional
In mathematics, and especially complex geometry, the Mabuchi functional or K-energy functional is a functional on the space of Kähler potentials of a compact Kähler manifold whose critical points are constant scalar curvature Kähler metrics. The Mabuchi functional was introduced by Toshiki Mabuchi in 1985 as a functional which integrates the Futaki invariant, which is an obstruction to the existence of a Kähler–Einstein metric on a Fano manifold. The Mabuchi functional is an analogy of the log-norm functional of the moment map in geometric invariant theory and symplectic reduction. The Mabuchi functional appears in the theory of K-stability as an analytical functional which characterises the existence of constant scalar curvature Kähler metrics. The slope at infinity of the Mabuchi functional along any geodesic ray in the space of Kähler potentials is given by the Donaldson–Futaki invariant of a corresponding test configuration. Due to the variational techniques of Berman–Boucksom–Jonsson in the study of Kähler–Einstein metrics on Fano varieties, the Mabuchi functional and various generalisations of it have become critically important in the study of K-stability of Fano varieties, particularly in settings with singularities. Definition The Mabuchi functional is defined on the space of Kähler potentials inside a fixed Kähler cohomology class on a compact complex manifold. Let be a compact Kähler manifold with a fixed Kähler metric . Then by the -lemma, any other Kähler metric in the class in de Rham cohomology may be related to by a smooth function , the Kähler potential: In order to ensure this new two-form is a Kähler metric, it must be a positive form: These two conditions define the space of Kähler potentials Since any two Kähler potentials which differ by a constant function define the same Kähler metric, the space of Kähler metrics in the class can be identified with , the Kähler potentials modulo the constant functions. One can instead restrict to those Kähler potentials which normalise so that their integral over vanishes. The tangent space to can be identified with the space of smooth real-valued functions on . Let denote the scalar curvature of the Riemannian metric corresponding to , and let denote the average of this scalar curvature over , which does not depend on the choice of by Stokes theorem. Define a differential one-form on the space of Kähler potentials by This one-form is closed. Since is a contractible space, this one-form is exact, and there exists a functional normalised so that such that , the Mabuchi functional or K-energy. The Mabuchi functional has an explicit description given by integrating the one-form along a path. Let be a fixed Kähler potential, which may be taken as , and let , and be a path in from to . Then This integral can be shown to be independent of the choice of path . Constant scalar curvature Kähler metrics From the definition of the Mabuchi functional in terms of the on
https://en.wikipedia.org/wiki/Ne%C5%BEa%20Mramor%E2%80%93Kosta
Nežka Mramor Kosta is a Slovenian mathematician working at University of Ljubljana. She is known for her work on computational logic and is a member of the Institute for Mathematics, Physics and Mechanics of Slovenia. Selected publications Neža Mramor Kosta, Mehmetcik Pamuk, Hanife Varli, Perfect discrete Morse functions on connected sums, arXiv:1501.06200 Henry King, Kevin Knudson, Neža Mramor, Birth and death in discrete Morse theory, arXiv:0808.0051 Borut Jurčič Zlobec, Neža Mramor Kosta, Geometric constructions on cycles in R'n, arXiv:1311.5656 AYALA, Rafael, VILCHES, Jose Antonio, JERŠE, Gregor, MRAMOR KOSTA, Neža. Discrete gradient fields on infinite complexes. Discrete and continuous dynamical systems JERŠE, Gregor, MRAMOR KOSTA, Neža. Ascending and descending regions of a discrete Morse function. Computational geometry MRAMOR KOSTA, Neža, TRENKLEROVÁ, Eva. Basic sets in the digital plane. Lecture notes in computer science, ISSN 0302-9743, 4910, 2008, str. 376–387. JAWOROWSKI, Jan, MRAMOR KOSTA, Neža. The degree of maps of free G-manifolds. Journal of fixed point theory and its applications, ISSN 1661-7738, 2007, vol. 2, no. 2, str. 209–213. KING, Henry C., KNUDSON, Kevin, MRAMOR KOSTA, Neža. Generating discrete Morse functions from point data. Experimental mathematics, ISSN 1058-6458, 2005, vol. 14, no. 4, str. 435–444. JURČIČ-ZLOBEC, Borut, MRAMOR KOSTA, Neža. Geometric constructions on cycles. Rocky Mountain journal of mathematics. CENCELJ, Matija, MRAMOR KOSTA, Neža, VAVPETIČ, Aleš. G-complexes with a compatible CW structure. Journal of mathematics of Kyoto University. References 21st-century Slovenian mathematicians 20th-century Slovenian mathematicians Living people Year of birth missing (living people) Academic staff of the University of Ljubljana
https://en.wikipedia.org/wiki/Mehmud%20Abdukerem
Mehmud Abdukerem (; ; born 14 April 1993) is a Chinese footballer who played most recently as a defender for Xinjiang Tianshan Leopard. Career statistics Club . References 1993 births Living people People from Kashgar Footballers from Xinjiang Chinese men's footballers Men's association football defenders China League One players Xinjiang Tianshan Leopard F.C. players
https://en.wikipedia.org/wiki/Mustahan%20Mijit
Mustahan Mijit (; born 20 August 1998) is a Chinese footballer currently playing as a defender for Jiangxi Beidamen. Career statistics Club . References 1998 births Living people Chinese men's footballers Men's association football defenders China League One players Xinjiang Tianshan Leopard F.C. players Uyghur sportspeople Chinese people of Uyghur descent
https://en.wikipedia.org/wiki/Huang%20Wenzhuo
Huang Wenzhuo (; born 9 January 1999) is a Chinese footballer currently playing as a midfielder for Guangzhou E-Power. Career statistics Club . References 1999 births Living people Chinese men's footballers Men's association football midfielders China League One players Shanghai Port F.C. players Xinjiang Tianshan Leopard F.C. players
https://en.wikipedia.org/wiki/Assouad%E2%80%93Nagata%20dimension
In mathematics, the Assouad–Nagata dimension (sometimes simply Nagata dimension) is a notion of dimension for metric spaces, introduced by Jun-iti Nagata in 1958 and reformulated by Patrice Assouad in 1982, who introduced the now-usual definition. Definition The Assouad–Nagata dimension of a metric space is defined as the smallest integer for which there exists a constant such that for all the space has a -bounded covering with -multiplicity at most . Here -bounded means that the diameter of each set of the covering is bounded by , and -multiplicity is the infimum of integers such that each subset of with diameter at most has a non-empty intersection with at most members of the covering. This definition can be rephrased to make it more similar to that of the Lebesgue covering dimension. The Assouad–Nagata dimension of a metric space is the smallest integer for which there exists a constant such that for every , the covering of by -balls has a refinement with -multiplicity at most . Relationship to other notions of dimension Compare the similar definitions of Lebesgue covering dimension and asymptotic dimension. A space has Lebesgue covering dimension at most if it is at most -dimensional at microscopic scales, and asymptotic dimension at most if it looks at most -dimensional upon zooming out as far as you need. To have Assouad–Nagata dimension at most , a space has to look at most -dimensional at every possible scale, in a uniform way across scales. The Nagata dimension of a metric space is always less than or equal to its Assouad dimension. References Metric geometry Dimension theory
https://en.wikipedia.org/wiki/Dilxat%20Ablimit
Dilxat Ablimit (; born 31 August 1999) is a Chinese footballer currently playing as a midfielder for Chongqing Tongliang Long. Career statistics Club . References 1999 births Living people Chinese men's footballers Men's association football midfielders China League One players Xinjiang Tianshan Leopard F.C. players Uyghur sportspeople Chinese people of Uyghur descent
https://en.wikipedia.org/wiki/Bebet%20Murat
Bebet Murat (; born 25 November 1999) is a Chinese footballer most recently as a midfielder for Xinjiang Tianshan Leopard. Career statistics Club . References 1999 births Living people Chinese men's footballers Men's association football midfielders China League One players Xinjiang Tianshan Leopard F.C. players
https://en.wikipedia.org/wiki/Ibrahim%20Kurban
Ibrahim Kurban (; born 28 February 2001) is a Chinese professional footballer who currently plays as a left-back for Hong Kong Premier League club Kitchee. Career statistics Club . References 2001 births Living people Chinese men's footballers Men's association football defenders China League One players Hong Kong Premier League players Xinjiang Tianshan Leopard F.C. players Kitchee SC players Chinese expatriate men's footballers Expatriate men's footballers in Hong Kong
https://en.wikipedia.org/wiki/Elizat%20Abdureshit
Elizat Abdureshit (; born 1 February 2000) is a Chinese footballer currently playing as a forward for Dalian Huayi. Career statistics Club . References 2000 births Living people Chinese men's footballers Men's association football forwards China League One players Xinjiang Tianshan Leopard F.C. players
https://en.wikipedia.org/wiki/Muhamet%20Ghopur
Muhamet Ghopur (; born 21 September 1997) is a Chinese footballer currently playing as a defender for Guangxi Hengchen. Career statistics Club . References 1997 births Living people Chinese men's footballers Men's association football defenders China League One players Xinjiang Tianshan Leopard F.C. players
https://en.wikipedia.org/wiki/Elbug%20Chagtsel
Elbug Chagtsel (; born 26 February 2000) is a Chinese footballer most recently playing as a forward for Xinjiang Tianshan Leopard. Career statistics Club . References 2000 births Living people Chinese men's footballers Men's association football forwards China League One players Xinjiang Tianshan Leopard F.C. players 21st-century Chinese people
https://en.wikipedia.org/wiki/Rahimjan%20Ekber
Rahimjan Ekber (; born 6 July 1999) is a Chinese footballer currently playing as a midfielder for Yili Nine Towns. Career statistics Club . References 1999 births Living people Chinese men's footballers Men's association football midfielders China League One players Xinjiang Tianshan Leopard F.C. players
https://en.wikipedia.org/wiki/Behtiyar%20Memetimin
Behtiyar Memetimin (; born 27 August 1998) is a Chinese footballer who played most recently as a midfielder for Xinjiang Tianshan Leopard. Career statistics Club . References 1998 births Living people Chinese men's footballers Men's association football midfielders China League One players Xinjiang Tianshan Leopard F.C. players
https://en.wikipedia.org/wiki/Ilyas%20Ilhar
Ilyas Ilhar (; born 13 January 1997) is a Chinese footballer most recently as a midfielder for Xinjiang Tianshan Leopard. Career statistics Club . References 1997 births Living people Chinese men's footballers Men's association football midfielders China League One players Xinjiang Tianshan Leopard F.C. players
https://en.wikipedia.org/wiki/Huang%20Yuandong
Huang Yuandong (; born 27 February 1989) is a Chinese footballer currently playing as a goalkeeper for Zibo Qisheng in China League Two. Career statistics Club . References 1989 births Living people Chinese men's footballers Men's association football goalkeepers China League Two players China League One players Zhejiang Professional F.C. players Xinjiang Tianshan Leopard F.C. players
https://en.wikipedia.org/wiki/Theories%20of%20iterated%20inductive%20definitions
In set theory and logic, Buchholz's ID hierarchy is a hierarchy of subsystems of first-order arithmetic. The systems/theories are referred to as "the formal theories of ν-times iterated inductive definitions". IDν extends PA by ν iterated least fixed points of monotone operators. Definition Original definition The formal theory IDω (and IDν in general) is an extension of Peano Arithmetic, formulated in the language LID, by the following axioms: for every LID-formula F(x) The theory IDν with ν ≠ ω is defined as: for every LID-formula F(x) and each u < ν Explanation / alternate definition ID1 A set is called inductively defined if for some monotonic operator , , where denotes the least fixed point of . The language of ID1, , is obtained from that of first-order number theory, , by the addition of a set (or predicate) constant IA for every X-positive formula A(X, x) in LN[X] that only contains X (a new set variable) and x (a number variable) as free variables. The term X-positive means that X only occurs positively in A (X is never on the left of an implication). We allow ourselves a bit of set-theoretic notation: means For two formulas and , means . Then ID1 contains the axioms of first-order number theory (PA) with the induction scheme extended to the new language as well as these axioms: Where ranges over all formulas. Note that expresses that  is closed under the arithmetically definable set operator , while  expresses that  is the least such (at least among sets definable in ). Thus,  is meant to be the least pre-fixed-point, and hence the least fixed point of the operator . IDν To define the system of ν-times iterated inductive definitions, where ν is an ordinal, let  be a primitive recursive well-ordering of order type ν. We use Greek letters to denote elements of the field of . The language of IDν, is obtained from by the addition of a binary predicate constant JA for every X-positive formula that contains at most the shown free variables, where X is again a unary (set) variable, and Y is a fresh binary predicate variable. We write instead of , thinking of x as a distinguished variable in the latter formula. The system IDν is now obtained from the system of first-order number theory (PA) by expanding the induction scheme to the new language and adding the scheme expressing transfinite induction along for an arbitrary  formula  as well as the axioms: where  is an arbitrary  formula. In  and  we used the abbreviation  for the formula , where  is the distinguished variable. We see that these express that each , for , is the least fixed point (among definable sets) for the operator . Note how all the previous sets , for , are used as parameters. We then define . Variants - is a weakened version of . In the system of , a set is instead called inductively defined if for some monotonic operator , is a fixed point of , rather than the least fixed point. This subtle difference makes the
https://en.wikipedia.org/wiki/Nemanja%20Spasojevi%C4%87
Nemanja Spasojević (, born 8 December 1996) is a Serbian footballer currently playing as a defender for Radnički Sremska Mitrovica. Career statistics Club . References 1996 births Living people Footballers from Šabac Serbian men's footballers Men's association football defenders Serbian First League players 2. Liga (Slovakia) players Czech National Football League players FK Radnički 1923 players MŠK Rimavská Sobota players FK Frýdek-Místek players FC Spartak Trnava players FK Radnički Pirot players Xinjiang Tianshan Leopard F.C. players Serbian expatriate men's footballers Serbian expatriate sportspeople in Slovakia Expatriate men's footballers in Slovakia Serbian expatriate sportspeople in the Czech Republic Expatriate men's footballers in the Czech Republic Serbian expatriate sportspeople in China Expatriate men's footballers in China
https://en.wikipedia.org/wiki/Uro%C5%A1%20Tomovi%C4%87
Uroš Tomović (, born 3 April 1994) is a Serbian footballer currently playing as a forward for Liaoning Shenyang Urban. Career statistics References 1994 births Living people Footballers from Belgrade Serbian men's footballers Men's association football forwards Serbian First League players FK Rad players FK Srem Jakovo players FK IMT players OFK Žarkovo players FK BASK players FK Radnički Pirot players FK Sinđelić Beograd players Senglea Athletic F.C. players FK Radnički Beograd players Xinjiang Tianshan Leopard F.C. players Serbian expatriate men's footballers Serbian expatriate sportspeople in Malta Expatriate men's footballers in Malta Serbian expatriate sportspeople in China Expatriate men's footballers in China
https://en.wikipedia.org/wiki/Ramanujan%20machine
The Ramanujan machine is a specialised software package, developed by a team of scientists at the Technion: Israeli Institute of Technology, to discover new formulas in mathematics. It has been named after the Indian mathematician Srinivasa Ramanujan because it supposedly imitates the thought process of Ramanujan in his discovery of hundreds of formulas. The machine has produced several conjectures in the form of continued fraction expansions of expressions involving some of the most important constants in mathematics like e and π (pi). Some of these conjectures produced by the Ramanujan machine have subsequently been proved true. The others continue to remain as conjectures. The software was conceptualised and developed by a group of undergraduates of the Technion under the guidance of Ido Kaminer, an Electrical engineering faculty member of Technion. The details of the machine were published online on 3 February 2021 in the journal Nature. According to George Andrews, an expert on the mathematics of Ramanujan, even though some of the results produced by the Ramanujan machine are amazing and difficult to prove, the results produced by the machine are not of the caliber of Ramanujan and so calling the software the Ramanujan machine is slightly outrageous. Doron Zeilberger, an Israeli mathematician, has opined that the Ramanujan machine is a harbinger of a new methodology of doing mathematics. Formulas discovered by the Ramanujan machine The following are some of the formulas discovered by the Ramanujan machine which have been later proved to be true: The following are some of the many formulas conjectured by the Ramanujan machine whose truth or falsity has not yet been established: In the last expression, the numbers 4, 14, 30, 52, . . . are defined by the sequence for and the numbers 8, 72, 288, 800, . . . are generated using the formula for . External links Website of the Ramanujan machine project: The Ramanujan Machine: Using algorithms to discover new mathematics References
https://en.wikipedia.org/wiki/Hiroto%20Yamami
is a Japanese footballer currently playing as a forward for Gamba Osaka. Career statistics Club . Notes References External links 1999 births Living people Association football people from Osaka Prefecture Kwansei Gakuin University alumni Japanese men's footballers Men's association football forwards J1 League players Gamba Osaka players
https://en.wikipedia.org/wiki/Aiman%20Afif
Mohd Aiman Afif bin Md Afizul (born 18 February 2001) is a Malaysian professional footballer who plays as a Attacking Midfielder for Malaysia Super League club Kedah Darul Aman. Career statistics Club Honours Kedah Darul Aman Malaysia Super League runner-up: 2021, 2022 References External links 2001 births Living people Footballers from Kedah Malaysian people of Malay descent Malaysian men's footballers Kedah Darul Aman F.C. players Malaysia Super League players Men's association football midfielders Competitors at the 2021 SEA Games Competitors at the 2023 SEA Games SEA Games competitors for Malaysia
https://en.wikipedia.org/wiki/Daniel%20Toma
Daniel Marian Toma (born 22 April 2000) is a Romanian professional footballer who plays as a defensive midfield for Liga II club Mioveni. Career statistics Club References External links 2000 births Living people Footballers from Bucharest Romanian men's footballers Romania men's youth international footballers Romania men's under-21 international footballers Men's association football midfielders Liga I players Liga II players FC Steaua București players CS Mioveni players FCV Farul Constanța players
https://en.wikipedia.org/wiki/Joseph%20Gu%C3%A9d%C3%A9%20Gnadou
Joseph Guédé Gnadou (born 23 August 1994) is an Ivorian professional footballer who plays as a forward for TFF First League club Tuzlaspor. Career statistics Club Notes References 1994 births Living people Ivorian men's footballers Men's association football forwards Botola players UAE Pro League players TFF First League players Academie de Foot Amadou Diallo players AS FAR (football club) players Emirates Club players Tuzlaspor players Ivorian expatriate men's footballers Ivorian expatriate sportspeople in Morocco Ivorian expatriate sportspeople in the United Arab Emirates Ivorian expatriate sportspeople in Turkey Expatriate men's footballers in Morocco Expatriate men's footballers in the United Arab Emirates Expatriate men's footballers in Turkey
https://en.wikipedia.org/wiki/Pedro%20Pavlov
Pedro Javier Pavlov (born 24 August 2000) is an Argentine professional footballer who plays as a left-back for UAE Pro League club Al Dhafra. Career statistics Club Notes References External links 2000 births Living people Argentine men's footballers Men's association football defenders UAE Pro League players UAE First Division League players Club Atlético River Plate footballers Al Wahda FC players Al Dhafra FC players Argentine expatriate men's footballers Expatriate men's footballers in the United Arab Emirates Argentine expatriate sportspeople in the United Arab Emirates People from Ushuaia Argentine people of Bulgarian descent
https://en.wikipedia.org/wiki/Ayrton%20S%C3%A1nchez
Ayrton Ariel Sánchez (born 6 March 2000) is an Argentine footballer currently playing as a eft-back for Brown de Adrogué. Career statistics Club References 2000 births Living people Argentine men's footballers Argentine expatriate men's footballers Footballers from Córdoba, Argentina Men's association football defenders Uruguayan Segunda División players Boca Juniors footballers Central Español players Club Atlético Brown footballers Argentine expatriate sportspeople in Uruguay Expatriate men's footballers in Uruguay
https://en.wikipedia.org/wiki/Enzo%20Rold%C3%A1n
Enzo Martín Roldán (born 7 December 2000) is an Argentine footballer currently playing as a midfielder for Unión de Santa Fe. Career statistics Club References 2000 births Living people People from Villa Mercedes, San Luis Footballers from San Luis Province Argentine men's footballers Men's association football midfielders Argentine Primera División players Boca Juniors footballers Unión de Santa Fe footballers
https://en.wikipedia.org/wiki/Aaron%20Molinas
Aaron Nicolás Molinas (born 2 August 2000) is an Argentine footballer currently playing as a midfielder for Tigre. Career statistics Club Notes Honours Boca Juniors Copa de la Liga Profesional: 2022 References 2000 births Living people Argentine men's footballers Argentina men's under-20 international footballers Men's association football midfielders Argentine Primera División players Boca Juniors footballers Sportspeople from La Matanza Partido Footballers from Buenos Aires Province Argentine sportspeople of Paraguayan descent
https://en.wikipedia.org/wiki/Agust%C3%ADn%20S%C3%A1ndez
Gonzalo Agustín Sández (born 16 January 2001) is an Argentine footballer currently playing as a left-back for Rosario Central. Career statistics Club Notes Honours Boca Juniors Primera División: 2022 Copa de la Liga Profesional: 2022 Supercopa Argentina: 2022 References 2001 births Living people Argentine sportspeople of Paraguayan descent Argentine men's footballers Men's association football defenders Argentine Primera División players Boca Juniors footballers Footballers from Lanús
https://en.wikipedia.org/wiki/Agust%C3%ADn%20Lastra
Agustín Jesús Lastra (born 2 January 2001) is an Argentine footballer currently playing as a goalkeeper for Aldosivi on loan from Boca Juniors. Career statistics Club Notes References 2001 births Living people Footballers from Tucumán Province Argentine men's footballers Men's association football goalkeepers Argentine Primera División players Boca Juniors footballers Club Atlético Aldosivi footballers
https://en.wikipedia.org/wiki/Puji%2C%20Wangcang%20County
Puji () is a town in Wangcang County, Sichuan, China. As of the 2019 statistics it had a population of 27,045 and an area of . Administrative division As of 2017, the town is divided into twelve villages and two communities: Puziling Community () Daichiba Community () Jiujiang () Xiumei () Longchi () Foziyan () Hengshi () Zhongjiang () Chichuan () Daying () Hongjiang () Yuexi () Qingjiang () Yuanjing () History It was incorporated as a township in 1940. After establishment of the Communist State, in 1950, Puji District was set up. In 1961, during the Great Leap Forward, it was renamed "Puji People's Commune". In 1962, former Tiantai Township (), Yuanjing Township () and Puji Township merged to form Puji Town. In January 2021, 22 stone Buddha statues of the Tang dynasty (618 907) and one stone sheep of the Ming dynasty (1368 1644) in the Foziyan Cliff Inscriptions () were stolen. Geography It lies at the south central Wangcang County, bordering the town of Huangyang to the west, Longfeng Township and Mumen Town to the south, Daliang Township to the north, and Sanjiang Town to the east. The highest point in the town is Shizike () which stands above sea level. The lowest point is the Hengshi Bridge (), which, at above sea level. Qing Stream (), a tributary of the Qu River, flows through the town north to south. The town experiences a subtropical humid monsoon climate, with an average annual temperature of , total annual rainfall of , and a frost-free period of 256 days. Economy The town's economy is based on nearby mineral resources and agricultural resources. The main crops are rice, wheat and corn. Vegetable and rape are the economic plants of this region. The region abounds with coal, bluestone, sulfur, iron, copper, dolomite, and limestone. Demographics As of 2019, the National Bureau of Statistics of the People's Republic of China estimates the town's population now to be 27,045. Transportation The town is connected to two highways: the Provincial Highway S16 and the Provincial Highway S20, both pass across the south of the town. Tourist attractions The Foziyan Cliff Inscriptions () is a historical site of the Tang dynasty (618 907) in Sichuan and is a provincial cultural relic preservation organ. References Bibliography Divisions of Wangcang County
https://en.wikipedia.org/wiki/Balthazar%20Bernardi
Yago Balthazar Bernardi Gutierrez (born 10 August 2001) is an Argentine footballer currently playing as a center-back for Akritas Chlorakas, on loan from Boca Juniors. Career statistics Club Notes References 2001 births Living people Footballers from Buenos Aires Argentine men's footballers Spanish men's footballers Men's association football defenders Argentine Primera División players Cypriot Second Division players Boca Juniors footballers Akritas Chlorakas players Argentine expatriate men's footballers Argentine expatriate sportspeople in Cyprus Expatriate men's footballers in Cyprus
https://en.wikipedia.org/wiki/Eros%20Mancuso
Eros Nazareno Mancuso (born 17 April 1999) is an Argentine footballer currently playing as a right-back for Estudiantes. Career statistics Club Notes References 1999 births Living people Argentine men's footballers Footballers from Buenos Aires Sportspeople from Morón Partido Men's association football defenders Argentine Primera División players Boca Juniors footballers Estudiantes de La Plata footballers
https://en.wikipedia.org/wiki/Rodrigo%20Montes
Rodrigo Agustín Montes (born 3 April 2000) is an Argentine footballer currently playing as a midfielder for Central Córdoba SdE on loan from Boca Juniors. Career statistics Club Notes References 2000 births Living people Footballers from Córdoba, Argentina Argentine men's footballers Men's association football midfielders Argentine Primera División players Boca Juniors footballers Central Córdoba de Santiago del Estero footballers
https://en.wikipedia.org/wiki/Kevin%20Duarte
Kevin Ismael Duarte (born 5 September 2001) is an Argentine footballer currently playing as a midfielder for Ferro Carril Oeste, on loan from Boca Juniors. Career statistics Club References 2001 births Living people Footballers from Lanús Argentine men's footballers Men's association football midfielders Argentine Primera División players Boca Juniors footballers Ferro Carril Oeste footballers
https://en.wikipedia.org/wiki/Gabriel%20Vega
Gabriel Ramiro Vega (born 18 April 2002) is an Argentine footballer currently playing as a midfielder for Godoy Cruz, on loan from Boca Juniors. Career statistics Club References 2002 births Living people Argentine men's footballers Men's association football midfielders Sportspeople from La Matanza Partido Footballers from Buenos Aires Province Argentine Primera División players Boca Juniors footballers Godoy Cruz Antonio Tomba footballers
https://en.wikipedia.org/wiki/Ezequiel%20Almir%C3%B3n
Ezequiel Martín Almirón (born 20 August 2002) is an Argentine footballer currently playing as a forward for Boca Juniors. Career statistics Club References 2002 births Living people People from Temperley Footballers from Buenos Aires Argentine men's footballers Men's association football forwards Argentine Primera División players Boca Juniors footballers
https://en.wikipedia.org/wiki/Frances%20McBroom%20Thompson
Frances Ann McBroom Thompson (October 25, 1942 – April 23, 2014) was an American mathematics educator and textbook author who became a professor at Texas Woman's University. Life Thompson was born in Brownwood, Texas, on October 25, 1942; her parents were Alexander Moreland McBroom and Myrtle Marie Huff McBroom. She was a student at Brownwood High School, and graduated cum laude after three years of study from Abilene Christian University, in 1963. She earned a master's degree in mathematics at the University of Texas at Austin in 1967, and completed a doctorate in mathematics education at the University of Georgia in 1973. She taught mathematics at the junior high and high school level, and joined the faculty at Texas Woman's University circa 1983, retiring as a full professor there in 2009. She worked on statewide programs to improve teacher education in Texas, and served as an evaluator for the National Council of Teachers of Mathematics. As well as teaching mathematics, she was a frequent teacher of Bible school classes through her church. She died of cancer on April 23, 2014. Books Thompson was the author of multiple books on both mathematics and Bible study, including: Five-Minute Challenges for Secondary School (Activity Resources, 1988) More Five-Minute Challenges for Secondary School (Activity Resources, 1992) Hands-On Algebra! Ready-to-Use Games and Activities for Grades 7—12 (Prentice-Hall, 1998) Ready-to-Use Math Proficiency Lessons & Activities (Wiley, 2003) Math Essentials: Lessons and Activities for Test Preparation (Wiley, 2005) Recognition Abilene Christian University named Thompson a distinguished alumna in 1998, and gave her their Grover C. Morland Award for Outstanding Teaching. Texas Woman's University gave her their Distinguished Service Award and their Mary Mason Lyon Award for Excellence in Teaching, Research and Service. References 1942 births 2014 deaths 20th-century American mathematicians 21st-century American mathematicians American women mathematicians Abilene Christian University alumni University of Texas at Austin alumni Texas Woman's University faculty 20th-century American women 21st-century American women
https://en.wikipedia.org/wiki/Uniformly%20disconnected%20space
In mathematics, a uniformly disconnected space is a metric space for which there exists such that no pair of distinct points can be connected by a -chain. A -chain between and is a sequence of points in such that . Properties Uniform disconnectedness is invariant under quasi-Möbius maps. References Metric geometry
https://en.wikipedia.org/wiki/Shuta%20Kikuchi
is a Japanese footballer currently playing as a centre back for Shimizu S-Pulse. Early life Kikuchi joined Shimizu S-Pulse at the age of five. Career statistics Club . Notes References External links 2003 births Living people Association football people from Shizuoka (city) Japanese men's footballers Japan men's youth international footballers Men's association football defenders Shimizu S-Pulse players
https://en.wikipedia.org/wiki/Homogeneity%20blockmodeling
In mathematics applied to analysis of social structures, homogeneity blockmodeling is an approach in blockmodeling, which is best suited for a preliminary or main approach to valued networks, when a prior knowledge about these networks is not available. This is due to the fact, that homogeneity blockmodeling emphasizes the similarity of link (tie) strengths within the blocks over the pattern of links. In this approach, tie (link) values (or statistical data computed on them) are assumed to be equal (homogenous) within blocks. This approach to the generalized blockmodeling of valued networks was first proposed by Aleš Žiberna in 2007 with the basic idea, "that the inconsistency of an empirical block with its ideal block can be measured by within block variability of appropriate values". The newly–formed ideal blocks, which are appropriate for blockmodeling of valued networks, are then presented together with the definitions of their block inconsistencies. Similar approach to the homogeneity blockmodeling, dealing with direct approach for structural equivalence, was previously suggested by Stephen P. Borgatti and Martin G. Everett (1992). References See also Generalized blockmodeling of binary networks implicit blockmodeling blockmodeling linked networks Homogeneity and heterogeneity Blockmodeling
https://en.wikipedia.org/wiki/Linked%20network
Linked network in statistics is a network, which is composed of one-node networks, where the nodes from different one-node networks are connected through two-node networks. This means, that "linked networks are collections of networks defined on different sets of nodes", where all sets of nodes must be connected to each other. Different examples of linked networks are: multilevel networks, dynamic networks (networks, measured at several different points in time), dynamic multilevel networks, measured at several different points in time, meta-networks, based on the PCANS model. References See also mathematical sociology Network science
https://en.wikipedia.org/wiki/Metodolo%C5%A1ki%20zvezki
Metodološki zvezki – Advances in Methodology and Statistics is a peer-reviewed academic journal covering methodology and statistics, published by the Faculty of Social Sciences of the University of Ljubljana. Anuška Ferligoj and Andrej Mrvar were the founding editors-in-chief. Abstracting and indexing From 2011 to 2019 the journal was abstracted and indexed in Scopus. See also List of academic journals published in Slovenia References External links University of Ljubljana publications Faculty of Social Sciences, Ljubljana Mathematics journals Statistics journals Academic journals established in 2004 Academic journals of Slovenia Multilingual journals Academic journals published in Slovenia
https://en.wikipedia.org/wiki/Juan%20Pablo%20Caba%C3%B1a
Juan Pablo Cabaña (born 28 December 2001) is an Argentine footballer currently playing as a forward for Boca Juniors. Career statistics Club References 2001 births Living people Footballers from Córdoba, Argentina Argentine men's footballers Men's association football forwards Argentine Primera División players Boca Juniors footballers
https://en.wikipedia.org/wiki/%C3%89rik%20Bodencer
Érik Maximiliano Bodencer (born 8 March 2000) is an Argentine,footballer currently playing as a forward for Boca Juniors. Career statistics Club References 2000 births Living people Footballers from Lomas de Zamora Footballers from Buenos Aires Argentine men's footballers Men's association football forwards Argentine Primera División players Boca Juniors footballers
https://en.wikipedia.org/wiki/Xavi%20Moreno
Xavi Moreno Layme (born 13 August 2003) is a Peruvian footballer who plays as a midfielder for Sport Boys. Career statistics Club Notes References 2003 births Living people Sportspeople from Arequipa Peruvian men's footballers Men's association football midfielders FBC Melgar footballers Sport Boys footballers Peruvian Primera División players
https://en.wikipedia.org/wiki/Bruno%20Portugal
Bruno Portugal Paredes (born 28 June 2003) is a Peruvian footballer who plays as a forward for FBC Melgar. Career statistics Club Notes References 2003 births Living people Sportspeople from Arequipa Peruvian men's footballers Men's association football forwards FBC Melgar footballers Peruvian Primera División players
https://en.wikipedia.org/wiki/Aar%C3%B3n%20Valencia
Aarón Antony Valencia Valenzuela (born 1 June 2003) is a Peruvian footballer who plays as a forward for Sport Boys. Career statistics Club Notes References 2003 births Living people Footballers from Lima Peruvian men's footballers Men's association football forwards Sporting Cristal footballers Sport Boys footballers Peruvian Primera División players
https://en.wikipedia.org/wiki/Chinamerem%20Igboeli
Chinamerem Igboeli (born 5 May 2004) is a Nigerian footballer who currently plays as a forward for Ifeanyi Ubah. Career statistics Club Notes References 2004 births Living people Sportspeople from Onitsha Nigerian men's footballers Men's association football forwards Nigeria Professional Football League players Ifeanyi Ubah F.C. players
https://en.wikipedia.org/wiki/Rivaldo%20Lozano
José Rivaldo Lozano Silva (born 5 October 1998) is a Mexican professional footballer who plays as a full-back for Liga MX club Atlas. Career statistics Club References External links Living people 1998 births Mexican men's footballers Men's association football defenders Ascenso MX players Atlas F.C. footballers Atlético San Luis footballers Liga MX players C.D.S. Tampico Madero footballers Footballers from Guadalajara, Jalisco Liga de Expansión MX players
https://en.wikipedia.org/wiki/Andr%C3%A9s%20S%C3%A1nchez%20%28footballer%29
Andrés Eduardo Sánchez Rodríguez (born 3 October 1997) is a Mexican professional footballer who plays as a goalkeeper for Liga MX club Atlético San Luis. Career statistics Club Honours Tepatitlán Liga de Expansión MX: Guardianes 2021 Campeón de Campeones: 2021 References External links Living people 1998 births Mexican men's footballers Men's association football goalkeepers Liga de Expansión MX players Atlético San Luis footballers Liga MX players Salamanca CF UDS players Segunda División B players Footballers from Chihuahua Sportspeople from Ciudad Juárez Mexican expatriate men's footballers Mexican expatriate sportspeople in Spain Expatriate men's footballers in Spain
https://en.wikipedia.org/wiki/Luis%20Calzadilla
Luis Ángel Calzadilla Santillán (born 14 January 2000) is a Mexican professional footballer who plays as a midfielder for Liga MX club Pachuca. Career statistics Club References External links Living people Men's association football forwards Atlético San Luis footballers C.F. Pachuca players Liga MX players Footballers from Hidalgo (state) 2000 births Mexican men's footballers
https://en.wikipedia.org/wiki/Cai%20Mingmin
Cai Mingmin (; born 30 October 2000) is a Chinese footballer currently playing as a midfielder for Guangzhou. Career statistics Club . References 2000 births Living people Sportspeople from Hainan Chinese men's footballers China men's youth international footballers Men's association football midfielders China League Two players China League One players Chinese Super League players Guangzhou F.C. players Kunshan F.C. players 21st-century Chinese people
https://en.wikipedia.org/wiki/Liu%20Ruicheng
Liu Ruicheng (; born 28 April 1999) is a Chinese footballer currently playing as a left-back for Kunshan. Career statistics Club . References 1999 births Living people Footballers from Yunnan Chinese men's footballers Men's association football defenders China League One players Guangzhou F.C. players Inner Mongolia Zhongyou F.C. players Xinjiang Tianshan Leopard F.C. players Kunshan F.C. players 21st-century Chinese people
https://en.wikipedia.org/wiki/Syafik%20Ismail
Muhammad Syafik bin Ismail (born 1 March 2000) is a Malaysian professional footballer who plays as a winger for Malaysia Super League club Terengganu. Career statistics Club Honours Terengganu Malaysia Super League runner-up: 2022 References External links 2000 births Living people Malaysian men's footballers Terengganu F.C. II players Terengganu FC players Malaysia Premier League players Malaysia Super League players Malaysian people of Malay descent Men's association football midfielders Men's association football wingers Competitors at the 2021 SEA Games SEA Games competitors for Malaysia
https://en.wikipedia.org/wiki/Jaiber%20Jim%C3%A9nez
Jaiber Jiménez Ramírez (born 7 January 1995) is a Mexican professional footballer who plays as a left-back. Career statistics Club Honours Cruz Azul Liga MX: Guardianes 2021 Campeón de Campeones: 2021 Supercopa de la Liga MX: 2022 References External links Living people 1995 births Men's association football defenders Cruz Azul footballers Cruz Azul Hidalgo footballers Liga MX players Footballers from Oaxaca People from Oaxaca City Mexican men's footballers
https://en.wikipedia.org/wiki/Andr%C3%A9s%20Gudi%C3%B1o
Andrés Guillermo Gudiño Portillo (born 27 January 1997) is a Mexican professional footballer who plays as a goalkeeper for Liga MX club Cruz Azul. Career statistics Club Honours Cruz Azul Liga MX: Guardianes 2021 Campeón de Campeones: 2021 Supercopa de la Liga MX: 2022 References External links Living people 1997 births Ascenso MX players Men's association football goalkeepers Cruz Azul footballers Cruz Azul Hidalgo footballers Liga MX players Venados F.C. players Footballers from Yucatán Sportspeople from Mérida, Yucatán Mexican men's footballers
https://en.wikipedia.org/wiki/Kitty%20Baker
Kitty Baker (born Sallie Kathryn Cardwell, August 21, 1912 – June 2, 2014) was an American mathematics educator, artist and weaver, and author of books on theater. Early life and education Sallie Kathryn Cardwell was born on August 21, 1912, in Lynchburg, Virginia. Her early interests included both mathematics and art; she won an art contest as a high school student at E. C. Glass High School in Lynchburg, and went to Randolph-Macon Woman's College because of its reputation for strength in both mathematics and art. She graduated in 1934, cum laude, specializing in her studies in mathematics and German. She was accepted to graduate study at Columbia University, Syracuse University, and the University of Chicago, choosing Chicago because of its proximity to the Art Institute of Chicago. She completed a master's degree at the University of Chicago in 1935. Career and later life Cardwell became an instructor at Baylor University, and in 1936 met and married theater professor Paul Baker; they had three children. At Baylor, she became a co-founder of the Baylor Children's theater. In 1963, after a production by her husband of Long Day's Journey into Night was censored by the university administration, they left Baylor with many of the other Baylor theater faculty, moving to Gonzales, Texas, near San Antonio. There, Kitty Baker taught mathematics at Trinity University and San Antonio College. While at Baylor and Trinity, Baker studied art, naming "Edmund Kinzinger, Austin Killian, Bruce Dean, Gay Wilson Turner and " from her time at Baylor and "Robert Tiemann and Jim Stoker" from Trinity as influences. She retired in 1976, and began working more heavily in weaving, working with Hagar Celmins and Margaret Demster, and teaching art at a local high school. She also founded a children's activity center in Gonzales. She died on June 2, 2014, at her home, of congestive heart failure. One of her daughters, Robyn Flatt, founded the Dallas Children’s Theater and became its executive artistic director; a grand-daughter, Kristi Cardwell, became a school theater teacher. Books With Jearnine Wagner, Baker coauthored A Place for Ideas: Our Theater (Principia Press of Trinity University, 1965). With her husband, she coedited Making Sense With the Five Senses. References External links Paul Baker & Kitty Baker Papers, The Wittliff Collections, Texas State University Libraries Oral Memoirs of Paul Baker and Kitty Baker, interviews conducted July 25, 1990, by David Stricklin, Baylor University 2014 deaths American centenarians Women centenarians 20th-century American mathematicians American women mathematicians Mathematics educators Randolph College alumni University of Chicago alumni Baylor University faculty Trinity University (Texas) faculty 1912 births 20th-century American women educators 20th-century American educators 21st-century American women
https://en.wikipedia.org/wiki/Jos%C3%A9%20Garc%C3%ADa%20%28footballer%2C%20born%201996%29
José Juan García Manríquez (born 26 February 1996) is a Mexican professional footballer who plays as a centre-back for Liga MX club Juárez. Career statistics Club References External links Living people 1996 births Mexican men's footballers Footballers from Michoacán Men's association football defenders Atlante F.C. footballers Atlético Reynosa footballers Correcaminos UAT footballers FC Juárez footballers Ascenso MX players Liga de Expansión MX players Liga MX players Liga Premier de México players People from Zamora, Michoacán
https://en.wikipedia.org/wiki/Jos%C3%A9%20%C3%81ngel%20L%C3%B3pez
José Ángel López López (born 25 August 1999) is a Mexican professional footballer who plays as a forward. Career statistics Club References External links Living people 1999 births Mexican men's footballers Ascenso MX players Men's association football forwards Club América footballers FC Juárez footballers Footballers from Veracruz Liga MX players Liga de Expansión MX players Tlaxcala F.C. players People from Coatzacoalcos
https://en.wikipedia.org/wiki/Corrandulla
Corrandulla () is a small village and census town in County Galway, Ireland. It is located in the civil parish of Annaghdown. Corrandulla was designated as a census town by the Central Statistics Office for the first time in the 2016 census, at which time it had a population of 241 people. The church in the village, Saint Brendan's Catholic Church, was built in 1831 and is in Annaghdown/Corrandulla parish of the Roman Catholic Archdiocese of Tuam. Corrandulla National School, also known as Scoil Bhrige agus Bhreandain Naofa, had an enrollment of 271 pupils as of the 2020 school year. An annual agricultural show, the Corrandulla Show, has been run in Corrandulla since 1977; The 2020 event was cancelled as part of the response to the COVID-19 pandemic in Ireland. See also Cregg Mill, County Galway References Towns and villages in County Galway
https://en.wikipedia.org/wiki/Adela%20Forestello
Adela "Lila" Panelo de Forestello (31 January 1923 – 11 August 2021) was an Argentine human rights activist and retired mathematics teacher. Forestello was a founding member of the Mothers of the Plaza 25 de Mayo, based in Rosario, Santa Fe Province. She joined with other women in Rosario to establish the Mothers of the Plaza 25 de Mayo following the forced disappearance of their children during the Dirty War and military dictatorship from 1976 to 1983. Her daughter, Marta María "Lala" Forestello, was kidnapped on August 19, 1977, and remains missing to this day. Forestello spent the rest of her life seeking answers to the kidnapping and campaigning for justice and the prosecution of those responsible for the forced disappearances and murders. She was the only member of the Mothers of the Plaza 25 de Mayo to testify during the 2009 federal Guerrieri I Trial, which led to the conviction of several perpetrators for crimes against humanity in April 2010. Forestello was the last surviving original, founding member of the Mothers of the Plaza 25 de Mayo at the time of her death in 2021. Biography Forestello was born in Posadas, Misiones Province, on 31 January 1923. She moved to the city of Rosario when she was 13-years old. Forestello taught mathematics at Normal School No. 1 in Rosario during her teaching career. She was married to the late Domingo Forestello (1917-1976), a dentist, with whom she had two daughters, María Susana and Marta María "Lala" Forestello. Forestello's youngest daughter, Marta María Forestello, was a statistics student at the National University of Rosario during the late 1970s and a member of the Montoneros, a left-wing peronist guerrilla organization opposed to the National Reorganization Process military dictatorship. Marta Forestello, who was 24 years old, and her one-year old daughter, Victoria, were kidnapped on August 19, 1977. Soon after her arrest, Marta Forestello was transferred to the custody of the Servicio de Informaciones and imprisoned in the notorious , , and clandestine detention centers. She disappeared during her detention during the Dirty War and has never been seen again. Adela Forestello, spent the next two weeks trying to locate her one-year old granddaughter, Victoria, who had also been kidnapped. She managed to locate Victoria fifteen days after her kidnapping at a juvenile police facility. Forestello found her granddaughter in poor condition with lice and wearing unchanged diapers. Less than one month later, Adela Forestello's son-in-law and husband of Marta, Miguel Ángel Tosetti, was also kidnapped in September 1977. He was last seem alive at the Quinta de Funes prison. Adella Forestello raised her granddaughter after the forced disappearances of her daughter and son-in-law. In 1982, Forestello joined with other mothers to form the Mothers of the Plaza 25 de Mayo, based in Rosario, Santa Fe Province. The organization seeks to located missing their children who went missing in Rosario during
https://en.wikipedia.org/wiki/Marana%2C%20Syria
Marana () is a Syrian village located in Markaz Rif Dimashq District, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Marana had a population of 1,176 in the 2004 census. To its north is Kawkab and the 100th division base, to its south is Muqaylibah and al-Taybah, to its east is al-Kiswah, and to its west is Deir Khabiyah and Zakiyah. References Populated places in Markaz Rif Dimashq District
https://en.wikipedia.org/wiki/Division%20No.%203%2C%20Subdivision%20F%2C%20Newfoundland%20and%20Labrador
Division No. 3, Subdivision F is an unorganized subdivision on the southwest coast of Newfoundland and Labrador, Canada. According to the 2016 Statistics Canada Census: Population: 119 % Change (2011 to 2016): -14.4 Dwellings: 188 Area: 2,634.58 km2 Density: 0.0 people/km2 Division No. 3, Subdivision F includes the unincorporated communities of Bay de Loup Burgeo Coppett Deer Island Dog Cove Fox Island Fox Island Harbour Grey River Hunt's Island Little River Red Island Upper Burgeo References Newfoundland and Labrador subdivisions
https://en.wikipedia.org/wiki/Samba%20Kon%C3%A9
Samba Koné (born 22 March 2002) is a Malian professional footballer who plays as a midfielder for Liga Portugal 2 club Académico de Viseu. Career statistics Club References 2001 births Living people 21st-century Malian people Malian men's footballers Footballers from Bamako Men's association football midfielders Tercera División players Liga Portugal 2 players CD Leganés players CD Leganés B players FC Porto players FC Porto B players Académico de Viseu F.C. players Malian expatriate men's footballers Malian expatriate sportspeople in Spain Expatriate men's footballers in Spain Malian expatriate sportspeople in Portugal Expatriate men's footballers in Portugal
https://en.wikipedia.org/wiki/Noam%20Mayoka-Tika
Noam Mayoka-Tika (born 2 November 2003) is a Belgian professional footballer who plays as a midfielder for K.V.C. Westerlo. Career statistics References 2003 births Living people Belgian men's footballers Men's association football midfielders Challenger Pro League players Royal Excel Mouscron players
https://en.wikipedia.org/wiki/Amy%20C.%20King
Amy Catheryne Patterson King (December 30, 1928 – June 7, 2014) was an American mathematician and mathematics educator who became Foundation Professor of mathematics at Eastern Kentucky University, and was recognized for her distinguished teaching by the Kentucky Section of the Mathematical Association of America. Personal life Amy Catheryne Patterson was born on December 30, 1928, in Douglas, Wyoming. She married Don King, who became a professor of dentistry; they had no children. Her brother, James D. Patterson, was also an academic, a professor of physics at the Florida Institute of Technology. She became a member of the Centenary United Methodist Church of Lexington, Kentucky. She died on June 7, 2014, of burns and smoke inhalation from a fire at her home in Lexington. Education and career King was a graduate of the University of Missouri. She earned a master's degree from Wichita State University in 1960, with the master's thesis Selected methods for solving eigenvalue problems by variational procedures. She joined the Mathematical Association of America in 1961, and coauthored the 1963 book Pathways to Probability: History of the Mathematics of Certainty and Chance with Cecil Byron Read, published by Holt, Rinehart and Winston. She became a mathematics instructor, including stints at Wichita State University, Washburn University, the University of Kansas, and the University of Kentucky. In later life she returned to graduate study, working with S. M. Shah at the University of Kentucky on transcendental functions of bounded index. She completed her Ph.D. in 1970, with the dissertation A Class of Entire Functions of Bounded Index and Radii of Univalence of Some Functions of Zero Order supervised by Shah. Her work in the early 1970s also included surveying the contributions of women in mathematics. She taught mathematics at Eastern Kentucky University from 1972 until her retirement as Foundation Professor emerita in 1998. Recognition King became the inaugural winner of the annual Award for Distinguished College or University Teaching of Mathematics of the Kentucky Section of the Mathematical Association of America, in 1992. She was named Foundation Professor at Eastern Kentucky University in 1993; this was "the highest honor the school gives to its teachers". A technology-enhanced mathematics classroom at Eastern Kentucky University was named for her in 2011, honoring her role as a "central figure in mathematics education at EKU". Wichita State University offers a scholarship named for her, as does Eastern Kentucky University. References 1928 births 2014 deaths 20th-century American mathematicians American women mathematicians Mathematics educators University of Missouri alumni Wichita State University alumni University of Kentucky alumni Wichita State University faculty Washburn University faculty University of Kansas faculty University of Kentucky faculty Eastern Kentucky University faculty 20th-century American women 21st-century A
https://en.wikipedia.org/wiki/Liu%20Zefeng
Liu Zefeng (; born 23 February 1996) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen. Career statistics Club . References 1996 births Living people Chinese men's footballers Men's association football midfielders China League Two players China League One players Changchun Yatai F.C. players Heilongjiang Ice City F.C. players Kunshan F.C. players
https://en.wikipedia.org/wiki/Zhang%20Wei%20%28footballer%2C%20born%201988%29
Zhang Wei (; born 31 March 1988) is a Chinese footballer currently playing as a left-back for Kunshan. Career statistics Club . References 1988 births Living people Chinese men's footballers Men's association football defenders China League One players China League Two players Tianjin Tianhai F.C. players Yanbian Funde F.C. players Kunshan F.C. players
https://en.wikipedia.org/wiki/Zhang%20Ran
Zhang Ran (; born 15 April 1999) is a Chinese footballer currently playing as a defender for Beijing BSU. Career statistics Club . References 1999 births Living people Chinese men's footballers Men's association football defenders China League One players Beijing Guoan F.C. players Beijing Sport University F.C. players
https://en.wikipedia.org/wiki/Gao%20Yunpeng
Gao Yunpeng (; born 1 November 1999) is a Chinese footballer currently playing as a defender for Beijing BSU. Career statistics Club . References 1999 births Living people Chinese men's footballers Men's association football defenders China League One players Beijing Guoan F.C. players Hebei F.C. players Beijing Sport University F.C. players
https://en.wikipedia.org/wiki/Yang%20Xudong
Yang Xudong (; born 16 October 2001) is a Chinese footballer currently playing as a defender for Beijing BSU. Career statistics Club . References 2001 births Living people Chinese men's footballers Men's association football defenders China League One players Beijing Sport University F.C. players
https://en.wikipedia.org/wiki/Wei%20Chaolun
Wei Chaolun (; born 21 May 2000) is a Chinese footballer currently playing as a midfielder for Beijing BSU. Career statistics Club . References 2000 births Living people Chinese men's footballers Men's association football midfielders China League Two players China League One players Beijing Sport University F.C. players Suzhou Dongwu F.C. players
https://en.wikipedia.org/wiki/Zhou%20Xincheng
Zhou Xincheng (; born 11 July 1999) is a Chinese footballer currently playing as a midfielder for Beijing BSU. Career statistics Club . References 1999 births Living people Chinese men's footballers Men's association football midfielders China League One players Beijing Guoan F.C. players Beijing Sport University F.C. players
https://en.wikipedia.org/wiki/Cui%20Zhongkai
Cui Zhongkai (; born 19 May 1989) is a Chinese footballer currently playing as a right-back for Dalian Zhixing. Career statistics Club . References 1989 births Living people Footballers from Dalian Footballers from Liaoning Chinese men's footballers Men's association football defenders China League One players China League Two players Tianjin Jinmen Tiger F.C. players Beijing Sport University F.C. players 21st-century Chinese people
https://en.wikipedia.org/wiki/Liu%20Zipeng
Liu Zipeng (; born 4 June 2000) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen. Career statistics Club . References 2000 births Living people People from Shangrao Footballers from Jiangxi Chinese men's footballers Men's association football midfielders Tercera División players Shandong Taishan F.C. players Beijing Sport University F.C. players Chinese expatriate men's footballers Chinese expatriate sportspeople in Spain Expatriate men's footballers in Spain
https://en.wikipedia.org/wiki/Wang%20Haitao%20%28footballer%29
Wang Haitao (; born 24 January 1997) is a Chinese footballer currently playing as a defender for Beijing BSU. Career statistics Club . References 1997 births Living people Chinese men's footballers Men's association football defenders China League One players Beijing Sport University F.C. players Beijing Guoan F.C. players
https://en.wikipedia.org/wiki/Dong%20Hang
Dong Hang (; born 21 May 1993) is a Chinese footballer currently playing as a goalkeeper for Beijing BSU. Career statistics Club . References 1993 births Living people Chinese men's footballers China men's youth international footballers Men's association football goalkeepers China League Two players China League One players Shanghai Shenhua F.C. players Beijing Sport University F.C. players
https://en.wikipedia.org/wiki/Zheng%20Bofan
Zheng Bofan (; born 2 March 1995), formerly known as Zheng Zixiang (), is a Chinese footballer currently playing as a midfielder for Beijing BSU, on loan from Dalian Pro. Career statistics Club . References 1995 births Living people Chinese men's footballers China men's youth international footballers Men's association football midfielders Campeonato de Portugal (league) players Second Professional Football League (Bulgaria) players China League One players F.C. Felgueiras 1932 players F.C. Oliveira do Hospital players Shandong Taishan F.C. players Dalian Professional F.C. players Kunshan F.C. players Beijing Sport University F.C. players Chinese expatriate men's footballers Chinese expatriate sportspeople in Portugal Expatriate men's footballers in Portugal Expatriate men's footballers in Bulgaria
https://en.wikipedia.org/wiki/Wang%20Peng%20%28footballer%2C%20born%201991%29
Wang Peng (; born 12 May 1991) is a Chinese footballer currently playing as a defender for Tai'an Tiankuang in China League Two. Career statistics Club . References 1991 births Living people Footballers from Dalian Footballers from Liaoning Chinese men's footballers Men's association football defenders China League Two players China League One players Chengdu Tiancheng F.C. players Heilongjiang Ice City F.C. players Beijing Sport University F.C. players
https://en.wikipedia.org/wiki/Wang%20Weibo
Wang Weibo (; born 30 October 1998) is a Chinese footballer currently playing as a defender for Beijing BSU. Career statistics Club . References 1998 births Living people Chinese men's footballers Men's association football defenders China League One players Beijing Guoan F.C. players Guangdong South China Tiger F.C. players Guizhou F.C. players Beijing Sport University F.C. players
https://en.wikipedia.org/wiki/Yang%20Shaobo
Yang Shaobo (; born 20 May 2000) is a Chinese footballer currently playing as a midfielder for Beijing BSU. Career statistics Club . References 2000 births Living people Chinese men's footballers Men's association football midfielders China League One players Atlético Madrid footballers Beijing Sport University F.C. players Chinese expatriate men's footballers Chinese expatriate sportspeople in Spain Expatriate men's footballers in Spain
https://en.wikipedia.org/wiki/Yu%20Jianfeng
Yu Jianfeng (; born 29 January 1989) is a Chinese footballer currently playing as a left-footed midfielder for Jiangxi Beidamen. Career statistics Club . References External links 1989 births Living people Chinese men's footballers Men's association football midfielders China League One players China League Two players Shaanxi Wuzhou F.C. players Meizhou Hakka F.C. players Nantong Zhiyun F.C. players
https://en.wikipedia.org/wiki/Adrian%20Liber
Adrian Liber (born 9 January 2001) is a Croatian footballer currently playing as a midfielder for Slaven Belupo. Career statistics Club Honours Rijeka Croatian Cup: 2019 Notes References 2001 births Living people People from Zabok Men's association football midfielders Croatian men's footballers Croatia men's youth international footballers HNK Rijeka players HNK Orijent players NK Slaven Belupo players Croatian Football League players
https://en.wikipedia.org/wiki/Niko%20Gale%C5%A1i%C4%87
Niko Galešić (born 26 March 2001) is a Croatian footballer currently playing as a defender for Rijeka. Born in Germany, he is a youth international for Croatia. Career statistics Club Honours Rijeka Croatian Cup: 2020 References 2001 births Living people Footballers from Berlin Croatian men's footballers Croatia men's youth international footballers German men's footballers German people of Croatian descent Men's association football defenders HNK Rijeka players NK Hrvatski Dragovoljac players Croatian Football League players