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https://en.wikipedia.org/wiki/Haruka%20Motoyama	is a Japanese footballer currently playing as a defender for Fagiano Okayama. Career statistics Club . Notes References 1999 births Living people Association football people from Nagasaki Prefecture Kwansei Gakuin University alumni Japanese men's footballers Men's association football defenders J2 League players Vissel Kobe players Fagiano Okayama players
https://en.wikipedia.org/wiki/Takaya%20Numata	is a Japanese footballer currently playing as a forward for Machida Zelvia. Career statistics Club . Notes References 1999 births Living people Association football people from Osaka Prefecture Japanese men's footballers Men's association football forwards J2 League players Renofa Yamaguchi FC players FC Machida Zelvia players
https://en.wikipedia.org/wiki/Bernoulli%20umbra	In Umbral calculus, the Bernoulli umbra is an umbra, a formal symbol, defined by the relation , where is the index-lowering operator, also known as evaluation operator and are Bernoulli numbers, called moments of the umbra. A similar umbra, defined as , where is also often used and sometimes called Bernoulli umbra as well. They are related by equality . Along with the Euler umbra, Bernoulli umbra is one of the most important umbras. In Levi-Civita field, Bernoulli umbras can be represented by elements with power series and , with lowering index operator corresponding to taking the coefficient of of the power series. The numerators of the terms are given in OEIS A118050 and the denominators are in OEIS A118051. Since the coefficients of are non-zero, the both are infinitely large numbers, being infinitely close (but not equal, a bit smaller) to and being infinitely close (a bit smaller) to . In Hardy fields (which are generalizations of Levi-Civita field) umbra corresponds to the germ at infinity of the function while corresponds to the germ at infinity of , where is inverse digamma function. Exponentiation Since Bernoulli polynomials is a generalization of Bernoulli numbers, exponentiation of Bernoulli umbra can be expressed via Bernoulli polynomials: where is a real or complex number. This can be further generalized using Hurwitz Zeta function: From the Riemann functional equation for Zeta function it follows that Derivative rule Since and are the only two members of the sequences and that differ, the following rule follows for any analytic function : Elementary functions of Bernoulli umbra As a general rule, the following formula holds for any analytic function : This allows to derive expressions for elementary functions of Bernoulli umbra. Particularly, Particularly, , , Relations between exponential and logarithmic functions Bernoulli umbra allows to establish relations between exponential, trigonometric and hyperbolic functions on one side and logarithms, inverse trigonometric and inverse hyperbolic functions on the other side in closed form: References Polynomials Finite differences Combinatorics Factorial and binomial topics
https://en.wikipedia.org/wiki/Arithmetic%20%28book%29	Arithmetic () is a 1703 mathematics textbook by the Russian educator and mathematician Leonty Magnitsky. The book served as the standard Russian mathematics textbook until the mid-18th century. Mikhail Lomonosov was educated on this book, and referred to it as the "gates of my own erudition". It was the first mathematics textbook written in the Russian language that was not a translated edition of a foreign work. It consisted essentially of Magnitsky's own lecture notes, and offered an encyclopedic overview of arithmetic at the time, with sections on navigational astronomy, geodesy, algebra, geometry, and trigonometry. It was organized in instructive question and answer format, and rooted not in the abstract but in practical and demonstrable applications of theories and axioms. The book also contained astronomical tables and coordinate maps for various Russian locales. The origins of the book lie in Peter the Great's establishment of the School of Navigation in Moscow, and the subsequent appointment of Magnitsky at the school's helm. He needed a text to teach from, and so formulated the book around his lectures and the prevailing European mathematics texts of the age. The full title and subtitle reads: "Arithmetic, that is the science of numbering. Translated from different languages into Russian, put together and divided into two parts". The book runs 600 pages. Its publication was extensively researched in 1914 by Dmitrii Galanin in his book Leonty Filippovich Magnitsky and His Arithmetic. Original copies are preserved in the Moscow State University library. Gallery References 1703 books Mathematics textbooks Russian-language books
https://en.wikipedia.org/wiki/Kim%20Bong-soo%20%28footballer%2C%20born%201999%29	Kim Bong-soo (; born December 26, 1999) is a South Korean professional football midfielder playing for Jeju United of the K League 1. Career statistics Club References External links 1999 births Living people South Korean men's footballers K League 1 players Jeju United FC players Men's association football midfielders
https://en.wikipedia.org/wiki/Kim%20Dae-woo%20%28footballer%29	Kim Dae-woo (; born December 2, 2000) is a South Korean professional football midfielder playing for Gangwon FC of the K League 1. Career statistics Club References External links 2000 births Living people South Korean men's footballers K League 1 players Gangwon FC players Men's association football midfielders
https://en.wikipedia.org/wiki/Zhou%20Jiahao	Zhou Jiahao (; born 16 September 1995) is a Chinese footballer currently playing as a forward for Nanjing City. Career statistics Club . Notes References 1995 births Living people People from Lishui Footballers from Zhejiang Chinese men's footballers Men's association football forwards Segunda División B players China League Two players China League One players Shanghai Shenhua F.C. players CD Eldense footballers Shanghai JuJu Sports F.C. players Cangzhou Mighty Lions F.C. players Zibo Cuju F.C. players Chinese expatriate men's footballers Chinese expatriate sportspeople in Spain Expatriate men's footballers in Spain
https://en.wikipedia.org/wiki/Zhu%20Yueqi	Zhu Yueqi (; born 13 January 1995) is a Chinese footballer currently playing as a goalkeeper for Wuxi Wugou. Career statistics Club . Notes References 1995 births Living people Sportspeople from Luoyang Footballers from Henan Chinese men's footballers Men's association football goalkeepers China League Two players Shanghai Shenhua F.C. players Shanghai Sunfun F.C. players Chinese expatriate men's footballers Chinese expatriate sportspeople in Spain Expatriate men's footballers in Spain
https://en.wikipedia.org/wiki/Bai%20Shuo	Bai Shuo (; born 6 January 1995) is a Chinese footballer currently playing as a goalkeeper for Chinese club Shizuishan Hengxing. Career statistics Club . Notes References 1995 births Living people Sportspeople from Shijiazhuang Footballers from Hebei Chinese men's footballers Men's association football goalkeepers China League Two players Tianjin Jinmen Tiger F.C. players Shanghai Shenhua F.C. players Shanghai JuJu Sports F.C. players Inner Mongolia Caoshangfei F.C. players Chinese expatriate men's footballers Chinese expatriate sportspeople in Spain Expatriate men's footballers in Spain 21st-century Chinese people
https://en.wikipedia.org/wiki/Eva%20Gallardo	Eva Antonia Gallardo-Gutiérrez (born 1973) is a Spanish mathematician specializing in operator theory. She is a professor of mathematics at the Complutense University of Madrid, deputy director of the Institute of Mathematical Sciences (Spain), and the president of the Royal Spanish Mathematical Society. Gallardo completed her Ph.D. at the University of Seville in 2000. Her dissertation, Ciclicidad de operadores: Teoría espectral, was supervised by Alfonso Montes-Rodríguez. With Montes-Rodríguez, she is a coauthor of a research monograph, The Role of the Spectrum in the Cyclic Behavior of Composition Operators (American Mathematical Society, 2004). References External links 1973 births Living people 20th-century Spanish mathematicians Spanish women mathematicians University of Seville alumni 21st-century Spanish mathematicians Academic staff of the Complutense University of Madrid
https://en.wikipedia.org/wiki/1919%E2%80%9320%20Rochdale%20A.F.C.%20season	The 1919–20 season saw Rochdale compete in The F.A. Cup for the 8th time where they reached the first round proper. The also competed in the Central League. Statistics \|} Competitions Central League F.A. Cup Lancashire Junior Cup Manchester Cup References Rochdale A.F.C. seasons Rochdale
https://en.wikipedia.org/wiki/Hidetaka%20Maie	is a Japanese footballer currently playing as a striker for Kashiwa Reysol. Career statistics Club . Notes References 2003 births Living people Association football people from Chiba Prefecture Japanese men's footballers Men's association football forwards Kashiwa Reysol players
https://en.wikipedia.org/wiki/Asahi%20Sasaki	is a Japanese footballer currently playing as a left back for Kawasaki Frontale. Career statistics Club . Notes References 2000 births Living people Association football people from Saitama Prefecture Ryutsu Keizai University alumni Japanese men's footballers Men's association football defenders J1 League players Kawasaki Frontale players
https://en.wikipedia.org/wiki/Makoto%20Mitsuta	is a Japanese professional footballer who plays as a winger for Sanfrecce Hiroshima and the Japan national team. Career statistics Club . Notes Honours Club Sanfrecce Hiroshima J.League Cup: 2022 International EAFF Championship: 2022 References 1999 births Living people Association football people from Kumamoto Ryutsu Keizai University alumni Japanese men's footballers Men's association football forwards Sanfrecce Hiroshima players
https://en.wikipedia.org/wiki/Naoki%20Goto	is a Japanese footballer currently playing as a goalkeeper for Tokushima Vortis. Career statistics Club . Notes References External links 2002 births Living people Association football people from Tokushima Prefecture Japanese men's footballers Men's association football goalkeepers Tokushima Vortis players
https://en.wikipedia.org/wiki/Hiroshi%20Omori	is a Japanese footballer currently playing as a midfielder for Fukushima United. Career statistics Club . Notes References External links 2002 births Living people Association football people from Tokyo Japanese men's footballers Men's association football midfielders Tokushima Vortis players
https://en.wikipedia.org/wiki/Hyon%20Rio	is a Japanese footballer currently playing as a midfielder for Tokushima Vortis. Career statistics Club . Notes References External links 2003 births Living people Association football people from Hyōgo Prefecture Japanese people of South Korean descent Japanese men's footballers South Korean men's footballers Men's association football midfielders Tokushima Vortis players
https://en.wikipedia.org/wiki/Yuta%20Ueda	is a Japanese footballer currently playing as a defender for Kyoto Sanga. Career statistics Club . Notes References 2004 births Living people Association football people from Shiga Prefecture Japanese men's footballers Japan men's youth international footballers Men's association football defenders Kyoto Sanga FC players
https://en.wikipedia.org/wiki/Yugo%20Masukake	is a Japanese footballer who plays as a forward for J3 League club Ehime FC, on loan from Kashiwa Reysol. Career statistics Club . References 2003 births Living people Association football people from Saitama Prefecture Japanese men's footballers Men's association football forwards J1 League players J3 League players Kashiwa Reysol players Ehime FC players
https://en.wikipedia.org/wiki/Kaito%20Mori	is a Japanese footballer who plays as a striker for J2 League club Tokushima Vortis, on loan from Kashiwa Reysol. Career statistics Club . References 2000 births Living people Association football people from Chiba Prefecture University of Tsukuba alumni Japanese men's footballers Men's association football forwards Kashiwa Reysol players Tokushima Vortis players
https://en.wikipedia.org/wiki/Riku%20Ochiai	is a Japanese footballer currently playing as a midfielder for Kashiwa Reysol. Career He started out for Reysol as a designated special player. Career statistics Club . Notes References 1999 births Living people Association football people from Chiba Prefecture Tokyo International University alumni Japanese men's footballers Men's association football midfielders Kashiwa Reysol players Vonds Ichihara players
https://en.wikipedia.org/wiki/Yukihito%20Kajiya	is a Japanese footballer who plays as a forward for J2 League club Blaublitz Akita, on loan from Sagan Tosu. Career statistics Club . Notes References 2000 births Living people Association football people from Saitama Prefecture Kokushikan University alumni Japanese men's footballers Men's association football forwards Sagan Tosu players Blaublitz Akita players
https://en.wikipedia.org/wiki/Shunya%20Sakai	is a Japanese footballer currently playing as a midfielder for Sagan Tosu. Career statistics Club . Notes References 2004 births Living people Association football people from Kumamoto Prefecture Japanese men's footballers Japan men's youth international footballers Men's association football midfielders Sagan Tosu players
https://en.wikipedia.org/wiki/Yoshiki%20Narahara	is a Japanese footballer currently playing as a midfielder for Sagan Tosu. Career statistics Club . Notes References 2004 births Living people Association football people from Fukuoka Prefecture Japanese men's footballers Japan men's youth international footballers Men's association football midfielders Sagan Tosu players
https://en.wikipedia.org/wiki/Sora%20Igawa	is a Japanese footballer who plays as a defensive midfielder or a centre back for J2 League club Fagiano Okayama, on loan from Hokkaido Consadole Sapporo. Career statistics Club . References 2000 births Living people Association football people from Hokkaido University of Tsukuba alumni Japanese men's footballers Japan men's youth international footballers Men's association football midfielders Hokkaido Consadole Sapporo players Fagiano Okayama players
https://en.wikipedia.org/wiki/Akito%20Suzuki	is a Japanese footballer currently playing as a forward for Shonan Bellmare. Career statistics Club . Notes References 2003 births Living people Association football people from Osaka Prefecture Japanese men's footballers Men's association football forwards J1 League players Shonan Bellmare players
https://en.wikipedia.org/wiki/List%20of%20Carlton%20SC%20records%20and%20statistics	Carlton Soccer Club was an Australian semi-professional association football club based in Jolimont, Melbourne in 1997. They were admitted into the National Soccer League in the 1997–98 season for their four seasons in the competition until the club folded in 2000. The list encompasses the records set by the club, their managers and their players. The player records section itemises the club's leading goalscorers and those who have made most appearances in first-team competitions. It also records notable achievements by Carlton players on the international stage. Attendance records at Carlton are also included. Honours and achievements National Soccer League Premiership Runners-up (1): 1997–98 National Soccer League Championship Runners-up (1): 1998 Player records Appearances Most appearances Competitive matches only, includes appearances as substitute. Numbers in brackets indicate goals scored. Goalscorers Top goalscorers Alex Moreira was the all-time top goalscorer for Carlton. Competitive matches only. Numbers in brackets indicate appearances made. International This section refers only to caps won while a Carlton player. First capped player: John Markovski, for Australia against Chile on 7 February 1998 Most capped player: Simon Colosimo with 9 caps. Club records Matches Record win: 5–0 against South Melbourne, National Soccer League, 12 April 1998 Record consecutive wins: 6, from 25 April 2000 to 28 May 2000 Record consecutive defeats: 8, from 28 February 1999 to 25 April 1999 Goals Most NSL goals scored in a season: 55 in 34 matches, National Soccer League, 1999–2000 Fewest NSL goals scored in a season: 44 in 26 matches, National Soccer League, 1997–98 Most NSL goals conceded in a season: 47 in 28 matches, National Soccer League, 1998–99 Fewest NSL goals conceded in a season: 24 in 26 matches, National Soccer League, 1997–98 Points Most points in a season: 58 in 26 matches, National Soccer League, 1999–2000 Fewest points in a season: 31 in 28 matches, National Soccer League, 1998–99 Attendances Highest attendance at Carlton: 10,632 against South Melbourne, National Soccer League, 21 December 1997 Lowest attendance at Carlton: 1,548 against Newcastle Breakers, National Soccer League, 23 March 1998 References Carlton
https://en.wikipedia.org/wiki/Mirror%20descent	In mathematics, mirror descent is an iterative optimization algorithm for finding a local minimum of a differentiable function. It generalizes algorithms such as gradient descent and multiplicative weights. History Mirror descent was originally proposed by Nemirovski and Yudin in 1983. Motivation In gradient descent with the sequence of learning rates applied to a differentiable function , one starts with a guess for a local minimum of and considers the sequence such that This can be reformulated by noting that In other words, minimizes the first-order approximation to at with added proximity term . This squared Euclidean distance term is a particular example of a Bregman distance. Using other Bregman distances will yield other algorithms such as Hedge which may be more suited to optimization over particular geometries. Formulation We are given convex function to optimize over a convex set , and given some norm on . We are also given differentiable convex function , -strongly convex with respect to the given norm. This is called the distance-generating function, and its gradient is known as the mirror map. Starting from initial , in each iteration of Mirror Descent: Map to the dual space: Update in the dual space using a gradient step: Map back to the primal space: Project back to the feasible region : , where is the Bregman divergence. Extensions Mirror descent in the online optimization setting is known as Online Mirror Descent (OMD). See also Gradient descent Multiplicative weight update method Hedge algorithm Bregman divergence References Mathematical optimization Optimization algorithms and methods Gradient methods
https://en.wikipedia.org/wiki/Nicos%20Christofides	Nicos Christofides (born 1942 in Cyprus; died 2019) was a Cypriot mathematician and professor of financial mathematics at Imperial College London. Christofides studied electrical engineering at Imperial College London, where he also received his PhD in 1966 (dissertation: The origin of load losses in induction motors with cast aluminum rotors). He was briefly with Associated Electrical Industries and then again at Imperial College. In 1976, he devised Christofides algorithm, an algorithm for finding approximate solutions to the travelling salesman problem. Christofides algorithm is considered "groundbreaking" and has collected over 2200 citations. In 1982, he became professor of operations research. In 1990, he was the co-founder and director of the Centre for Quantitative Finance (now the Institute for Financial Engineering). Christofides became Professor Emeritus of Quantitative Finance at Imperial College London in 2009. He died in 2019. References 1942 births 2019 deaths Cypriot mathematicians Greek Cypriot people
https://en.wikipedia.org/wiki/Virginia%20Kiryakova	Virginia S. Kiryakova (née Virdzhinia Stoinova Hristova) is a Bulgarian mathematician known for her work on the fractional calculus, on special functions in fractional calculus including the Mittag-Leffler functions, and on the history of calculus. She is a professor in the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences. Education and career As a high school student, Kiryakova competed for Bulgaria in the 1969 International Mathematical Olympiad, earning a bronze medal. She graduated from Sofia University in 1975 with a combined bachelor's and master's degree in mathematics, and in the same year became a researcher in the Institute of Mathematics and Informatics. She earned a Ph.D. in 1987, with the thesis Generalized Operators of Integration and Differentiation of Fractional Order and Applications, and completed a Dr.Sc. (habilitation) in 2010, with the thesis Generalized Fractional Calculus and Applications in Analysis, supervised by Ivan Dimovski. She is editor-in-chief of the journals Fractional Calculus and Applied Analysis and International Journal of Applied Mathematics. Selected publications Kiryakova is the author of the research monograph Generalized Fractional Calculus and Applications (1993). She has also coauthored highly cited work on the history of calculus. Recognition Kiryakova won the 1996 Academic Prize for Mathematical Sciences of Bulgarian Academy of Sciences. In 2012, at the 5th Symposium on Fractional Differentiation and its Applications, she was given the FDA Dissemination Award, for her "dissemination of fractional calculus among the scientific community, industry and society" over the previous five years. References External links Home page Year of birth missing (living people) Living people 20th-century Bulgarian mathematicians 21st-century Bulgarian mathematicians Bulgarian women mathematicians Sofia University alumni
https://en.wikipedia.org/wiki/Vojt%C4%9Bch%20My%C5%A1ka	Vojtěch Myška (born 16 March 2004) is a Czech footballer who currently plays as a goalkeeper for Viktoria Žižkov. Career statistics Club Notes References 2004 births Living people Czech men's footballers Men's association football goalkeepers Czech National Football League players FK Teplice players FK Viktoria Žižkov players
https://en.wikipedia.org/wiki/1912%E2%80%9313%20Rochdale%20A.F.C.%20season	The 1912–13 season saw Rochdale compete in The F.A. Cup for the 5th time and reached the first round proper. The also competed in the Central League and finished 7th. Statistics \|} Competitions Central League F.A. Cup Lancashire Senior Cup Manchester Senior Cup Friendlies References Rochdale A.F.C. seasons Rochdale
https://en.wikipedia.org/wiki/Hart%20circle	In geometry, the Hart circle is derived from three given circles that cross pairwise to form eight circular triangles. For any one of these eight triangles, and its three neighboring triangles, there exists a Hart circle, tangent to the inscribed circles of these four circular triangles. Thus, the three given circles have eight Hart circles associated with them. The Hart circles are named after their discover, Andrew Searle Hart. They can be seen as analogous to the nine-point circle of straight-sided triangles. References External links History of the Nine-Point Circle, Cambridge University Discussion of Hart Circle in context of Feuerbach's theorem On Centers and Central Lines of Triangles in the Elliptic Plane CRC Concise Encyclopedia of Mathematics by Eric W. Weisstein Geometry Triangles Circles Triangle geometry Polygons
https://en.wikipedia.org/wiki/Matilde%20Lal%C3%ADn	Matilde Noemí Lalín is an Argentine-Canadian mathematician specializing in number theory and known for her work on L-functions, Mahler measure, and their connections. She is a professor of mathematics at the Université de Montréal. Education and career Lalín is originally from Buenos Aires, and is a dual citizen of Argentina and Canada. As a high school student, she represented Argentina twice in the International Mathematical Olympiad, in 1993 and 1995, earning a silver medal in 1995. She earned a licenciatura in 1999 from the University of Buenos Aires. After starting graduate study at Princeton University and spending a term as a visiting student at Harvard University, she completed her doctorate in 2005 at the University of Texas at Austin. Her dissertation, Some Relations of Mahler Measure with Hyperbolic Volumes and Special Values of L-Functions, was supervised there by Fernando Rodriguez-Villegas. She became a postdoctoral researcher at the Institute for Advanced Study, Mathematical Sciences Research Institute, Institut des Hautes Études Scientifiques, Max Planck Institute for Mathematics, and Pacific Institute for the Mathematical Sciences, before obtaining a tenure-track faculty position in 2007 as an assistant professor of mathematics at the University of Alberta. She moved to the Université de Montréal in 2010, earned tenure as an associate professor there in 2012, and was promoted to full professor in 2018. Recognition Lalín is the 2022 winner of the Krieger–Nelson Prize of the Canadian Mathematical Society, "for her outstanding contributions to research in Number Theory and related areas". She was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to number theory, including the study of L-functions, and for service to the mathematical community". In 2024, she will become a fellow of the Association for Women in Mathematics, "For her ongoing contributions to the AWM, most notably her leadership role in the Women in Numbers Network and considerable contributions to its growth; her service to the International Mathematics Union Committee for Women; and for her ardent efforts towards making conferences more welcoming and accessible for researchers by actively advocating for childcare resources." References External links Home page Year of birth missing (living people) Living people Argentine mathematicians Argentine women mathematicians Canadian mathematicians Canadian women mathematicians University of Buenos Aires alumni University of Texas at Austin alumni Academic staff of the University of Alberta Academic staff of the Université de Montréal Fellows of the American Mathematical Society
https://en.wikipedia.org/wiki/Shunsuke%20Nishikubo	is a Japanese footballer currently playing as a right-back for JEF United Chiba. Career statistics Club . Notes References 2003 births Living people Association football people from Saitama Prefecture Japanese men's footballers Men's association football defenders JEF United Chiba players
https://en.wikipedia.org/wiki/Tomoya%20Shinohara	is a Japanese footballer currently playing as a midfielder for JEF United Chiba. Career statistics Club . Notes References 1999 births Living people Association football people from Tokyo Toin University of Yokohama alumni Japanese men's footballers Men's association football midfielders JEF United Chiba players
https://en.wikipedia.org/wiki/Bartosz%20Guzdek	Bartosz Guzdek (born 28 July 2002) is a Polish professional footballer who plays as a forward for Miedź Legnica. Career statistics Club References External links 2002 births Living people People from Wadowice Polish men's footballers Men's association football forwards Ruch Chorzów players Widzew Łódź players Odra Opole players Miedź Legnica players III liga players I liga players Poland men's youth international footballers Footballers from Lesser Poland Voivodeship
https://en.wikipedia.org/wiki/Rados%C5%82aw%20Go%C5%82%C4%99biowski	Radosław Gołębiowski (born 24 November 2001) is a Polish professional footballer who plays as a midfielder for II liga side Sandecja Nowy Sącz. Career statistics Club References External links 2001 births Living people Sportspeople from Częstochowa Footballers from Silesian Voivodeship Polish men's footballers Men's association football midfielders Skra Częstochowa players Widzew Łódź players Sandecja Nowy Sącz players II liga players I liga players Poland men's youth international footballers
https://en.wikipedia.org/wiki/Oskar%20Krzy%C5%BCak	Oskar Krzyżak (born 24 January 2002) is a Polish professional footballer who plays as a centre-back for Ekstraklasa club Warta Poznań, on loan from Raków Częstochowa. Career statistics Club References External links 2002 births Living people Sportspeople from Częstochowa Footballers from Silesian Voivodeship Polish men's footballers Men's association football defenders Raków Częstochowa players Bytovia Bytów players Skra Częstochowa players Warta Poznań players III liga players II liga players I liga players Ekstraklasa players Poland men's youth international footballers Poland men's under-21 international footballers
https://en.wikipedia.org/wiki/Gabriel%20Kobylak	Gabriel Kobylak (born 20 February 2002) is a Polish professional footballer who plays as a goalkeeper for Legia Warsaw. Career statistics Club Honours Individual Ekstraklasa Young Player of the Month: February 2023 References External links 2002 births Living people Polish men's footballers Men's association football goalkeepers Karpaty Krosno players Legia Warsaw II players Legia Warsaw players Puszcza Niepołomice players Radomiak Radom players III liga players I liga players Ekstraklasa players Poland men's youth international footballers People from Brzozów County Footballers from Podkarpackie Voivodeship
https://en.wikipedia.org/wiki/Bart%C5%82omiej%20Eizenchart	Bartłomiej Eizenchart (born 23 August 2001) is a Polish professional footballer who plays as a left-back or left winger for I liga side Resovia. Career statistics Club References External links 2001 births Living people People from Łęczyca Polish men's footballers Men's association football defenders Górnik Zabrze players Puszcza Niepołomice players GKS Bełchatów players Resovia (football) players III liga players I liga players Poland men's youth international footballers Footballers from Łódź Voivodeship
https://en.wikipedia.org/wiki/K-stability%20of%20Fano%20varieties	In mathematics, and in particular algebraic geometry, K-stability is an algebro-geometric stability condition for projective algebraic varieties and complex manifolds. K-stability is of particular importance for the case of Fano varieties, where it is the correct stability condition to allow the formation of moduli spaces, and where it precisely characterises the existence of Kähler–Einstein metrics. K-stability was first defined for Fano manifolds by Gang Tian in 1997 in response to a conjecture of Shing-Tung Yau from 1993 that there should exist a stability condition which characterises the existence of a Kähler–Einstein metric on a Fano manifold. It was defined in reference to the K-energy functional previously introduced by Toshiki Mabuchi. Tian's definition of K-stability was reformulated by Simon Donaldson in 2001 in a purely algebro-geometric way. K-stability has become an important notion in the study and classification of Fano varieties. In 2012 Xiuxiong Chen, Donaldson, and Song Sun and independently Gang Tian proved that a smooth Fano manifold is K-polystable if and only if it admits a Kähler–Einstein metric. This was later generalised to singular K-polystable Fano varieties due to the work of Berman–Boucksom–Jonsson and others. K-stability is important in constructing moduli spaces of Fano varieties, where observations going back to the original development of geometric invariant theory show that it is necessary to restrict to a class of stable objects to form good moduli. It is now known through the work of Chenyang Xu and others that there exists a projective coarse moduli space of K-polystable Fano varieties of finite type. This work relies on Caucher Birkar's proof of boundedness of Fano varieties, for which he was awarded the 2018 Fields medal. Due to the reformulations of the K-stability condition by Fujita–Li and Odaka, the K-stability of Fano varieties may be explicitly computed in practice. Which Fano varieties are K-stable is well understood in dimension one, two, and three. Definition and characterisations The notion of K-stability for Fano manifolds was originally specified using differential geometry by Tian, who extended the purely analytical notion of the Futaki invariant of a vector field to the case of certain normal varieties with orbifold singularities. This was later reformulated in a purely algebro-geometric form by Donaldson, but this general definition lost a direct link to the geometry of Fano varieties, instead making sense for the broader class of all projective varieties. Work of Tian shows that the Donaldson–Futaki invariant specifying the weight of the -action on the central fibre of a test configuration can be computed in terms of certain intersection numbers (corresponding to the weight of an action on the so-called CM line bundle). In the Fano case these intersection numbers, which involve the anticanonical divisor of the variety and its test configuration, can be given powerful alternative charact
https://en.wikipedia.org/wiki/Rafa%C5%82%20Str%C4%85czek	Rafał Strączek (born 12 February 1999) is a Polish professional footballer who plays as a goalkeeper for club Bordeaux. Career statistics Honours Stal Mielec I liga: 2019–20 Individual Ekstraklasa Young Player of the Month: May 2021 References External links 1999 births Living people People from Jarosław Polish men's footballers Men's association football goalkeepers JKS 1909 Jarosław players UKS SMS Łódź players Stal Mielec players Motor Lublin players FC Girondins de Bordeaux players Ekstraklasa players I liga players III liga players Ligue 2 players Poland men's youth international footballers Polish expatriate men's footballers Expatriate men's footballers in France Polish expatriate sportspeople in France Footballers from Podkarpackie Voivodeship
https://en.wikipedia.org/wiki/Adrian%20Bukowski	Adrian Bukowski (born 18 March 2003) is a Polish professional footballer who plays as a central midfielder for Stal Rzeszów, on loan from Śląsk Wrocław. Career statistics Club References External links 2003 births Living people Polish men's footballers Men's association football midfielders Zagłębie Lubin players Śląsk Wrocław players Stal Rzeszów (football) players Ekstraklasa players I liga players II liga players III liga players Poland men's youth international footballers Poland men's under-21 international footballers Place of birth missing (living people)
https://en.wikipedia.org/wiki/Suita%20conjecture	In mathematics, the Suita conjecture is a conjecture related to the theory of the Riemann surface, the boundary behavior of conformal maps, the theory of Bergman kernel, and the theory of the L2 extension. The conjecture states the following: It was first proved by for the bounded plane domain and then completely in a more generalized version by . Also, another proof of the Suita conjecture and some examples of its generalization to several complex variables (the multi (high) - dimensional Suita conjecture) were given in and . The multi (high) - dimensional Suita conjecture fails in non-pseudoconvex domains. This conjecture was proved through the optimal estimation of the Ohsawa–Takegoshi L2 extension theorem. Notes References Several complex variables Algebraic geometry
https://en.wikipedia.org/wiki/1913%E2%80%9314%20Rochdale%20A.F.C.%20season	The 1913–14 season saw Rochdale compete in The FA Cup for the 6th time and reached the 4th qualifying round. The also competed in the Central League and finished 10th. Statistics \|} Competitions Central League F.A. Cup Lancashire Senior Cup Manchester Senior Cup Friendlies References Rochdale A.F.C. seasons Rochdale
https://en.wikipedia.org/wiki/1914%E2%80%9315%20Rochdale%20A.F.C.%20season	The 1914–15 season saw Rochdale compete in The FA Cup for the 7th time and reached the second round proper. The also competed in the Central League and finished 9th. Statistics \|} Competitions Central League F.A. Cup Lancashire Senior Cup Manchester Senior Cup References Rochdale A.F.C. seasons Rochdale
https://en.wikipedia.org/wiki/Riku%20Iijima	is a Japanese footballer currently playing as a forward for Ventforet Kofu. Career statistics Club . Notes References 1999 births Living people Association football people from Saitama Prefecture Hosei University alumni Japanese men's footballers Japan men's youth international footballers Men's association football forwards J2 League players Ventforet Kofu players
https://en.wikipedia.org/wiki/Yohei%20Okuyama	is a Japanese footballer currently playing as a midfielder for Machida Zelvia. Career statistics Club . Notes References 1999 births Living people Association football people from Okayama Prefecture Hannan University alumni Japanese men's footballers Men's association football midfielders J2 League players Iwate Grulla Morioka players FC Machida Zelvia players
https://en.wikipedia.org/wiki/Hiroto%20Taniguchi	is a Japanese professional footballer who plays as a centre back for club Tokyo Verdy. Career statistics Club . Notes References External links Profile at Tokyo Verdy Profile at J.League 1999 births Living people Association football people from Kanagawa Prefecture Kokushikan University alumni Japanese men's footballers Japan men's youth international footballers Men's association football defenders J2 League players Tokyo Verdy players
https://en.wikipedia.org/wiki/Ko%20Miyazaki	is a Japanese footballer currently playing as a forward for Tochigi SC. Career statistics Club . Notes References 1999 births Living people Association football people from Tokyo Komazawa University alumni Japanese men's footballers Men's association football forwards J2 League players Tochigi SC players
https://en.wikipedia.org/wiki/Sota%20Kiri	is a Japanese footballer who currently plays as a forward for Iwate Grulla Morioka. Career statistics Club . Notes References 1999 births Living people Association football people from Kanagawa Prefecture Rikkyo University alumni Japanese men's footballers Men's association football forwards J2 League players Iwate Grulla Morioka players
https://en.wikipedia.org/wiki/Koya%20Hayashida	is a Japanese footballer currently playing as a midfielder for Ventforet Kofu. Career statistics Club . Notes References 1999 births Living people Association football people from Ōita Prefecture Kanto Gakuin University alumni Japanese men's footballers Men's association football midfielders J2 League players Ventforet Kofu players
https://en.wikipedia.org/wiki/Kenta%20Matsuyama	is a Japanese footballer currently playing as a goalkeeper for Iwate Grulla Morioka. Career statistics Club . Notes References 1998 births Living people Association football people from Fukuoka Prefecture Momoyama Gakuin University alumni Japanese men's footballers Men's association football goalkeepers J2 League players Iwate Grulla Morioka players
https://en.wikipedia.org/wiki/Liam%20Paninski	Liam Paninski (born 1978) is an American computational neuroscientist who specializes in neural data science. He is a professor in the Departments of Statistics and Neuroscience at Columbia University, where he co-directs the Grossman Center for the Statistics of Mind. Paninski's research focuses on using statistics to decipher electrical signals from the brain. Education Paninski attended Brown University, where he received a Bachelor of Science degree in neuroscience in 1999. At Brown, Paninski was introduced to neuroscience research in the lab of John Donoghue. He was also influenced by applied mathematicians on faculty including Stuart Geman and David Mumford. Paninski completed his Ph.D. in neural science at New York University's Center for Neural Science in 2003 under the direction of Eero Simoncelli. Career Paninski began teaching at Columbia in 2005. In 2006 Paninski was named in MIT Technology Reviews list of Innovators Under 35. He received a Sloan Research Fellowship in 2007. References American neuroscientists Data scientists Brown University alumni New York University alumni Sloan Research Fellows Columbia University faculty 1978 births Living people Computational neuroscience
https://en.wikipedia.org/wiki/Erich%20Bornberg-Bauer	Erich Bornberg-Bauer (born 1963 in Vienna) is an Austrian biochemist, theoretical biologist and bioinformatician. Life Bornberg-Bauer, studied biochemistry, physics and mathematics (1981–1991) at the University of Vienna and obtained a diploma in biochemistry (1992, University of Vienna). He performed his doctoral research on evolutionary fitness landscapes of RNA and proteins in the group of Peter Schuster, Institute of Theoretical Chemistry, University of Vienna, and received his Ph.D in 1995. He continued his academic career at the University of Vienna (Institute of Mathematics) as a university assistant (equivalent to assistant professor; 1994 – 1996). Thereafter, he worked at the Deutsche Krebsforschungszentrum in Heidelberg as a postdoctoral researcher in the group of Martin Vingron on algorithms for sequence analysis (1996–1998), and subsequently as a project leader at EML (European Media Laboratory) GmbH (1998 – 2000; this department is now a part of Heidelberg Institute for Theoretical Studies). Since 2000, Bornberg-Bauer has been working as an independent academic researcher, first as a senior lecturer in bioinformatics at the University of Manchester (2000–2003), and then as a professor of Molecular Evolution and Bioinformatics at the Institute for Evolution and Biodiversity, University of Münster (2003 – present). Since 2018, he is a guest scientist at the Max Planck Institute for Biology in Tübingen. He has been a guest professor at Claude Bernard University Lyon 1 and a visiting scholar at European Bioinformatics Institute. Research Bornberg-Bauer's earlier research focused on the aspects of RNA and protein evolution, especially on the phenomenon of neutral evolution, evolvability and robustness. Together with Hue Sun Chan (University of Toronto), he developed the concept of superfunnels on neutral networks, which describes how populations of functional polymers (such as proteins) randomly explore the sequence space to find transition sequences (switches) to new networks. His work also showed that errors in a protein's sequence that arise during translation (phenotypic mutations), help to explore the sequence space more rapidly. This phenomenon, termed as the look ahead effect, dramatically increases the probability of a gene to acquire beneficial double mutations. His research group at the University of Münster has been working on three main research topics. First is (since 2005) modular evolution of proteins, which involves understanding of how protein domains can reshuffle to create new proteins with altered functions. The second topic is about a phenomenon known as de novo gene birth by which new protein coding genes emerge from DNA segments in an organism's genome, that do not contain any genes. The third topic is genomic analysis of the evolution of eusociality in insects. Bornberg-Bauer has been involved in the initial genome sequencing and annotation of Eucalyptus grandis, Nasonia vitripennis, Nasonia giraulti, Nasonia
https://en.wikipedia.org/wiki/Seiya%20Inoue%20%28footballer%29	is a Japanese professional footballer who plays as a centre back for club Avispa Fukuoka. Career statistics Club . References External links Profile at Avispa Fukuoka 1999 births Living people Association football people from Hyōgo Prefecture Konan University alumni Japanese men's footballers Men's association football defenders Avispa Fukuoka players
https://en.wikipedia.org/wiki/Juli%C3%A1n%20Fern%C3%A1ndez%20%28footballer%2C%20born%202004%29	Julián Fernández (born 30 January 2004) is an Argentine professional footballer who plays as a forward for Major League Soccer club New York City FC. Career statistics Club Notes References 2004 births Living people Argentine men's footballers Men's association football wingers Argentine Primera División players Club Atlético Vélez Sarsfield footballers New York City FC players
https://en.wikipedia.org/wiki/Valent%C3%ADn%20G%C3%B3mez	Diego Valentín Gómez (born 26 June 2003) is an Argentine footballer playing as a centre-back for Vélez Sarsfield. Career statistics Club Notes References 2003 births Living people Footballers from Buenos Aires Argentine men's footballers Argentina men's youth international footballers Men's association football defenders Argentine Primera División players Club Atlético Vélez Sarsfield footballers
https://en.wikipedia.org/wiki/Shunta%20Araki	is a Japanese footballer who plays as a forward for J2 League club Machida Zelvia, on loan from Sagan Tosu. Career statistics Club . Notes References 1999 births Living people Association football people from Fukuoka Prefecture Komazawa University alumni Japanese men's footballers Men's association football forwards Sagan Tosu players FC Machida Zelvia players
https://en.wikipedia.org/wiki/Robert%20A.%20Bosch	Robert A. (Bob) Bosch (born August 13, 1963, in Buffalo NY) is an author, recreational mathematician and the James F. Clark Professor of Mathematics at Oberlin College. He is known for domino art and for combining graph theory and mathematical optimization to design connect-the-dots eye candy: labyrinths, knight's tours, string art and TSP Art. He is the author of Opt Art: From Mathematical Optimization to Visual Design. Education and career Bosch received a BA in mathematics at Oberlin College in 1985, an MS in operations research and statistics at Rensselaer Polytechnic Institute in 1987 and a PhD in operations research with the thesis Partial Updating in Interior-Point Methods for Linear Programming under Kurt Martin Anstreicher at Yale University in 1991. He has been at Oberlin College since 1991 where he teaches mathematics, statistics and computer science. Combining art and mathematics Bosch is passionate about using computers and mathematical optimization techniques to design visual art. He refers to this work as "Opt Art." He has written dozens of papers on this topic, many of them with Oberlin College student collaborators. Over the years Bosch has created numerous portraits drawn with a single continuous line. Some of these drawings are solutions of the Traveling salesman problem (or solutions to related problems). Examples include the "figurative tours" he created with computer scientist Tom Wexler and renditions of Leonardo da Vinci's Mona Lisa, a Van Gogh self portrait, and Vermeer's Girl with a Pearl Earring. Domino portraits such as his renderings of Martin Luther King and Barack Obama are an expansion of the mathematical genre of opt art in another direction. Awards 2007 Trevor Evans Award from the Mathematical Association of America (MAA), for the Math Horizons article "Opt Art". 2012 Inaugural Outstanding Paper Award from the Journal of Mathematics and the Arts, for the article "Simple-Close-Curve Sculptures of Knots and Links". 2010 First Prize in the Mathematical Art Exhibition of The American Mathematical Society (AMS), for the sculpture Embrace. References External links Opt Art: From Mathematical Optimization to Visual Design [video] Domino Artwork: The Mathematical Artwork of Robert Bosch Robert Bosch Mathematical Art Galleries Living people 1963 births 20th-century American mathematicians 21st-century American mathematicians Recreational mathematicians Mathematics popularizers Oberlin College alumni Rensselaer Polytechnic Institute alumni Yale School of Management alumni Oberlin College faculty Mathematicians from New York (state)
https://en.wikipedia.org/wiki/Konosuke%20Nishikawa	is a Japanese footballer currently playing as a goalkeeper for Oita Trinita. Career statistics Club . Notes References External links 2002 births Living people Association football people from Aichi Prefecture Japanese men's footballers Japan men's youth international footballers Men's association football goalkeepers Nagoya Grampus players Oita Trinita players
https://en.wikipedia.org/wiki/Koki%20Matsuzawa	is a Japanese footballer currently playing as a goalkeeper for Vegalta Sendai. Career statistics Club . Notes Honours Tokushima Vortis J2 League (1): 2020 References External links 1992 births Living people Sportspeople from Yokohama Association football people from Kanagawa Prefecture Waseda University alumni Japanese men's footballers Japan men's youth international footballers Men's association football goalkeepers Tokyo Verdy players JEF United Chiba players Vissel Kobe players Tokushima Vortis players
https://en.wikipedia.org/wiki/Takuto%20Kato	is a Japanese footballer currently playing as a defensive midfielder for Kashiwa Reysol. Career statistics Club . Notes References 1999 births Living people Association football people from Saitama Prefecture University of Tsukuba alumni Japanese men's footballers Men's association football midfielders Kashiwa Reysol players
https://en.wikipedia.org/wiki/Kensuke%20Fujiwara	is a Japanese footballer currently playing as a midfielder for Júbilo Iwata. Career statistics Club . Notes References External links 2003 births Living people Association football people from Shizuoka Prefecture Japanese men's footballers Men's association football midfielders Júbilo Iwata players
https://en.wikipedia.org/wiki/Yuta%20Arai	is a Japanese footballer currently playing as a midfielder for FC Tokyo as a designated special player. Career statistics Club . Notes References 2004 births Living people Japanese men's footballers Men's association football midfielders FC Tokyo players
https://en.wikipedia.org/wiki/Arithmetic%20progression%20topologies	In general topology and number theory, branches of mathematics, one can define various topologies on the set of integers or the set of positive integers by taking as a base a suitable collection of arithmetic progressions, sequences of the form or The open sets will then be unions of arithmetic progressions in the collection. Three examples are the Furstenberg topology on , and the Golomb topology and the Kirch topology on . Precise definitions are given below. Hillel Furstenberg introduced the first topology in order to provide a "topological" proof of the infinitude of the set of primes. The second topology was studied by Solomon Golomb and provides an example of a countably infinite Hausdorff space that is connected. The third topology, introduced by A.M. Kirch, is an example of a countably infinite Hausdorff space that is both connected and locally connected. These topologies also have interesting separation and homogeneity properties. The notion of an arithmetic progression topology can be generalized to arbitrary Dedekind domains. Construction Two-sided arithmetic progressions in are subsets of the form where and The intersection of two such arithmetic progressions is either empty, or is another arithmetic progression of the same form: where is the least common multiple of and Similarly, one-sided arithmetic progressions in are subsets of the form with and . The intersection of two such arithmetic progressions is either empty, or is another arithmetic progression of the same form: with equal to the smallest element in the intersection. This shows that every nonempty intersection of a finite number of arithmetic progressions is again an arithmetic progression. One can then define a topology on or by choosing a collection of arithmetic progressions, declaring all elements of to be open sets, and taking the topology generated by those. If any nonempty intersection of two elements of is again an element of , the collection will be a base for the topology. In general, it will be a subbase for the topology, and the set of all arithmetic progressions that are nonempty finite intersections of elements of will be a base for the topology. Three special cases follow. The Furstenberg topology, or evenly spaced integer topology, on the set of integers is obtained by taking as a base the collection of all with and The Golomb topology, or relatively prime integer topology, on the set of positive integers is obtained by taking as a base the collection of all with and and relatively prime. Equivalently, the subcollection of such sets with the extra condition also forms a base for the topology. The corresponding topological space is called the Golomb space. The Kirch topology, or prime integer topology, on the set of positive integers is obtained by taking as a subbase the collection of all with and prime not dividing Equivalently, one can take as a subbase the collection of all with prime a
https://en.wikipedia.org/wiki/Bruce%20M.%20Boghosian	Prof. Bruce Michael Boghosian is an American mathematician. He has been a Professor of Mathematics at Tufts University since 2000, and served as chair of Mathematics there from 2006 to 2010. He also holds adjunct positions in the Tufts University Departments of Physics and Computer Science. Research interests Boghosian's research interests center on applied dynamical systems and applied probability theory, with an emphasis on kinetic theory, as it applies to fluids, soft condensed matter, and agent based models in the social sciences. From 2014 to the present, his work has centered on kinetic-theoretical models of wealth distribution. Education Boghosian received his bachelor's degree in physics and master's degree in nuclear engineering from the Massachusetts Institute of Technology. He earned his Ph.D. from the Department of Applied Science at the University of California, Davis. Career From 1978 to 1986, he was a Physicist in the Plasma Theory Group at the Lawrence Livermore National Laboratory in California. From 1986 through 1994, he was a Senior Scientist in the Mathematical Research Group at Thinking Machines Corporation in Cambridge, Massachusetts. From 1994 through 2000, prior to coming to Tufts University, Boghosian held the position of Research Associate Professor at the Center for Computational Science and Department of Physics at Boston University. From 2010 to 2014, while on leave from Tufts University, Boghosian served as the third president of the American University of Armenia in Yerevan, Armenia. During that time, he oversaw the creation, accreditation and inauguration of the undergraduate program at AUA—the first American-accredited bachelor program in the former Soviet Union. Boghosian has held visiting academic positions at the Département de Mathématiques, Paris-Sud University in Orsay, France; the École normale supérieure in Paris, France; Peking University in Beijing, China; University College London; the University of California, Berkeley; the International Centre for Theoretical Physics in Trieste, Italy; the Schlumberger Cambridge Research Centre in Cambridge, United Kingdom; and the Massachusetts Institute of Technology. Fellowships and publications Boghosian has been a fellow of the American Physical Society since 2000, and a foreign member of the Armenian National Academy of Sciences since 2008. He is a recipient of Tufts University's Distinguished Scholar Award in 2010, and its Undergraduate Initiative in Teaching (UNITE) award in 2002. In 2014 he received the "Order of the Republic of Armenia" from the Armenian Prime Minister, and the "Gold Medal" from the Armenian Ministry of Education and Science. His 2019 article "The Inescapable Casino" was published in six languages, and included in the volume "The Best Writing on Mathematics 2020". Boghosian has over 110 publications, has given over 220 invited talks, and has one patent. He is a member of the editorial boards of the Journal of Computational Sc
https://en.wikipedia.org/wiki/Continuity%20in%20probability	In probability theory, a stochastic process is said to be continuous in probability or stochastically continuous if its distributions converge whenever the values in the index set converge. Definition Let be a stochastic process in . The process is continuous in probability when converges in probability to whenever converges to . Examples and Applications Feller processes are continuous in probability at . Continuity in probability is a sometimes used as one of the defining property for Lévy process. Any process that is continuous in probability and has independent increments has a version that is càdlàg. As a result, some authors immediately define Lévy process as being càdlàg and having independent increments. References Stochastic processes
https://en.wikipedia.org/wiki/Kang%20Yi	Kang Yi, may refer to: , Chinese politician, deputy director of the State Non-Ferrous Metal Industry Bureau Kang Yi (born 1966), Chinese politician, director of the National Bureau of Statistics See also Yi Kang
https://en.wikipedia.org/wiki/Kang%20Yi%20%28born%201966%29	Kang Yi (; born August 1966) is a Chinese banker and politician and the current director of the National Bureau of Statistics, in office since March 2022. Biography Kang was born in Shuangfeng County, Hunan, in August 1966 and graduated from Shanghai University of Finance and Economics. He joined the Chinese Communist Party (CCP) in July 1986. Beginning in 1988, he served in several posts in China Construction Bank, including vice president of Hubei Branch, president of Gansu Branch, and president of Fujian Branch. In November 2016, he as promoted to become vice president of the Agricultural Bank of China, a position he held until 2018. In January 2018, he was appointed vice mayor of Tianjin, he remained in that position until March 2022, when he was transferred to Beijing and appointed director of the National Bureau of Statistics. References 1966 births Living people People from Shuangfeng County Shanghai University of Finance and Economics alumni Chinese bankers People's Republic of China politicians from Hunan Chinese Communist Party politicians from Hunan
https://en.wikipedia.org/wiki/Riku%20Yamane	is a Japanese footballer currently playing as a midfielder for Yokohama F. Marinos. Career statistics Club . Notes Honours Club Yokohama F. Marinos J1 League: 2022 References 2003 births Living people Association football people from Kanagawa Prefecture Japanese men's footballers Japan men's youth international footballers Men's association football midfielders J1 League players Yokohama F. Marinos players
https://en.wikipedia.org/wiki/Sheila%20Hill	Sheila Dorothy Hill (10 August 1928 – 26 January 2022) was an English cricketer, umpire, scorer and administrator, who was appointed an MBE in 2011. She was also a mathematics teacher. She played domestic cricket for the Kent county side as well as one match for Middlesex, and for Kent Nomads and the East of England. She was a right-handed middle-order batter and an accurate medium-paced bowler, though The Times says that she bowled only occasionally. She could also keep wicket. Because some scorebooks from the period have been lost, her complete statistics are unknown. Her highest known score for Kent, in 24 matches, was only 14, but she once made 83 not out for Kent Nomads. She achieved much greater distinction as an umpire and administrator than as a player. She was an umpire between 1972 and 1999, and had a natural authority as well as making good use of humour to defuse potentially awkward incidents. She umpired in three women's Test matches and eight one-day internationals, including in the last match of the inaugural Women's Cricket World Cup in 1973, in which England beat Australia to win the competition (it was run on a league rather than a knock-out basis). After retiring from teaching, in 1988 she became chair of Gunnersbury Women's Cricket Club, before being in charge of the development of the Women's Southern League. She joined the council of the Women's Cricket Association which ran the women's game in England. Her administrative roles extended beyond women's cricket. She helped with the development of the Association of Cricket Umpires and Scorers, and in 1975 she was the first woman to be elected to its general council. In 1989 she became chairman, the first woman to head a major international cricketing organisation. She also revised the Association's textbook Cricket Umpiring and Scoring. For a quarter of a century she was a member of the MCC's Laws sub-committee, not stepping down till she was 87. She made a significant contribution to the revision of the Laws adopted in 2000. According to Robert Griffiths QC, who chaired the committee, "Sheila combined an analytical mind of a natural logician and conceptual thinker with a deep understanding of the role of a legislator." In 1999, amid great media attention, she was one of the first ten women granted honorary MCC membership, entitling her to enter the Lord's pavilion and its Long Room. Life outside cricket She was the middle daughter of Stuart Hill, an electrical engineer, and his wife Dorothy. Though born in Pinner, she spent most of her childhood in Kent, where she attended Bromley Girls' Grammar School. She read mathematics at Somerville College, Oxford, from 1946 to 1949, and captained the college cricket team. She started work as a teacher in Blackheath, before moving to Caterham. Around this time, she briefly had tuberculosis and had to recuperate in a sanatorium. She went to St Paul's Girls' School in London in 1959 as head of mathematics, where she was an inspirati
https://en.wikipedia.org/wiki/Margherita%20Sarrocchi	Margherita Sarrocchi (, Naples – 29 October 1617, Rome) was an Italian poet and a supporter of the theories of Galileo. She was also a mathematics student with a vast variety of interests in other sciences. Sarrocchi had numerous other scientific interests like geometry, astronomy, and natural philosophy. However, her writings in these fields have been lost or destroyed. Sarrochi's works have been forgotten and left behind like many other female scientists. Margherita Sarrocchi was first friend and potential lover, then rival and enemy of Giambattista Marino, and wrote an epic poem in twenty-three cantos, the Scanderbeide, celebrating the heroic exploits of Scanderbeg against the Ottoman Turks. Education and marriage Margherita Sarrocchi was born in Gragnano in the Neapolitan area around 1560. Her father was one Giovanni; the name of her mother is not known. After the death of her father, she was educated in Rome, first at the monastery of Santa Cecilia in Trastevere, then by Guglielmo Sirleto, the Vatican librarian, the scholar Rinaldo Corso, and finally by Luca Valerio, the mathematician and Greek scholar. Valerio, like Sarrocchi later in life, also had connections to Galileo. At Santa Cecilia, Sarrocchi was implored by her guardian, Cardinal Guglielmo Sirleto, to be educated in the sciences and the arts. Thus she began her journey as an early woman in science. By the age of 15, she published her first poem. In 1599, she married Carlo Birago, a Piedmontese gentleman. She was widowed in 1613, as evidenced by a letter from Valerio to Galileo dated August of that year. At the time of her life, women in the public forefront were often not respected. She faced much controversy and criticism during her life for her works. However, she earned the support of many others during her time, including Galileo. Academies Sarrocchi joined the Accademia degli Umoristi around 1602, which made her the first woman to be a regular member of an academy. In total, she was a part of at least three formal academies. Additionally, she helped form an unofficial academy called Ordinati after leaving the Umoristi academy. She was very talented, as many intellectuals, such as Niccolò Toppi, reported how skilled she was. Although she had great talent, Sarrocchi was considered to be boastful and relentless to individuals who did not respect or agree with her positions, as she was aware that she was a woman who held great prestige. She was disliked by many, including Giambattista Marino. Initially, these two were close friends. However, Sarrocchi found fault with some of his work, which he took offense to. There is a theory that, initially, Marino and Sarrocchi were romantically involved, but when their relationship ended, Sarrocchi then became bitter with Marino. There is little evidence for this theory. Relationship with Galileo Sarrocchi and Galilei probably met in person in 1611 in Rome, where the scientist stayed from 29 March to 4 June. She was there to demon
https://en.wikipedia.org/wiki/Adriana%20Garroni	Adriana Garroni (born 1966) is an Italian mathematician specializing in mathematical analysis, including the calculus of variations, geometric measure theory, potential theory, and applications to the mathematical modeling of materials including plasticity and fracture. She is a professor in mathematics at Sapienza University of Rome. Education and career Garroni was born on 22 March 1966 in Rome, and despite having mathematics professor Maria Giovanna Garroni as her mother, she grew up torn between mathematics and the arts. After earning a laurea in mathematics in 1991 from Sapienza University of Rome, she went to the International School for Advanced Studies (SISSA) in Trieste for graduate study in functional analysis with Gianni Dal Maso, earning an M.Phil. in 1993 and completing her Ph.D. in 1994. She returned to Sapienza University as a researcher in 1995, became an associate professor in 1998, and was named full professor in 2017. References External links Home page Interview with Garroni at the 20th Congress of the Italian Mathematical Union, 2015 (in Italian) 1966 births Living people Italian mathematicians Italian women mathematicians Sapienza University of Rome alumni International School for Advanced Studies alumni Academic staff of the Sapienza University of Rome
https://en.wikipedia.org/wiki/Tsubasa%20Yuge	is a Japanese footballer currently playing as a midfielder for Iwate Grulla Morioka. Career statistics Club . Notes References 2000 births Living people Association football people from Saitama Prefecture Nippon Sport Science University alumni Japanese men's footballers Men's association football midfielders J2 League players Urawa Red Diamonds players Iwate Grulla Morioka players
https://en.wikipedia.org/wiki/Daisuke%20Fukagawa	is a Japanese footballer currently playing as a defender for Iwate Grulla Morioka. Career statistics Club . Notes References 1999 births Living people Association football people from Chiba Prefecture Nippon Sport Science University alumni Japanese men's footballers Men's association football defenders J2 League players JEF United Chiba players Iwate Grulla Morioka players
https://en.wikipedia.org/wiki/Tatsuki%20Higashiyama	is a Japanese footballer currently playing as a midfielder for Roasso Kumamoto. Career statistics Club . Notes References 1999 births Living people Sportspeople from Niigata (city) Association football people from Niigata Prefecture Shizuoka Sangyo University alumni Japanese men's footballers Men's association football midfielders J2 League players Roasso Kumamoto players
https://en.wikipedia.org/wiki/Kanato%20Fukazawa	is a Japanese footballer currently playing as a midfielder for Japan Soccer College. Career statistics Club . Notes References 2001 births Living people Association football people from Shizuoka Prefecture Japanese men's footballers Japanese expatriate men's footballers Men's association football midfielders Singapore Premier League players Japan Soccer College players Albirex Niigata Singapore FC players Japanese expatriate sportspeople in Singapore Expatriate men's footballers in Singapore
https://en.wikipedia.org/wiki/Siddhant%20Shirodkar	Siddhant Shirodkar (born 22 January 2001) is an Indian professional footballer who plays as a forward for East Bengal in the Indian Super League. Statistics References External links ISL profile 2001 births Living people Indian men's footballers Men's association football forwards East Bengal Club players
https://en.wikipedia.org/wiki/Problem%20Solving%20Through%20Recreational%20Mathematics	Problem Solving Through Recreational Mathematics is a textbook in mathematics on problem solving techniques and their application to problems in recreational mathematics, intended as a textbook for general education courses in mathematics for liberal arts education students. It was written by Bonnie Averbach and Orin Chein, published in 1980 by W. H. Freeman and Company, and reprinted in 2000 by Dover Publications. Audience and reception Problem Solving Through Recreational Mathematics is based on mathematics courses taught by the authors, who were both mathematics professors at Temple University. It follows a principle in mathematics education popularized by George Pólya, of focusing on techniques for mathematical problem solving, motivated by the idea that by doing mathematics rather than being told about its "history, culture, or applications", liberal arts education students (for whom this might be their only college-level mathematics course) can gain a better idea of the nature of mathematics. By concentrating on problems in recreational mathematics, Averbach and Chein hope to motivate students by the fun aspect of these problems. However, this approach may also lead the students to lose sight of the important applications of the mathematics they learn, and contains little to no material on mathematical proof. The book's exercises include some with detailed solutions, some with less-detailed answers, and some that provide only hints to the solution, providing flexibility to instructors in using this book as a textbook. Cartoons and other illustrations of the concepts help make the material more inviting to students. As well as for general education at the college level, this book could also be used to help prepare students going into mathematics education, and for mathematics appreciation for secondary school students. It could also be used as a reference by secondary school mathematics teachers in providing additional examples for their students, or as personal reading for anyone teenaged or older who is interested in mathematics. Alternatively, reviewer Murray Klamkin suggests using the books of Polyá for these purposes, but adding Problem Solving Through Recreational Mathematics as a supplement to these books. Topics The book begins with an introductory chapter on problem-solving techniques in general, including six problems to motivate these techniques. The rest of the book is organized into eight thematic chapters, each of which can stand alone or be read in an arbitrary order. The topics of these chapters are: Logic puzzles, especially focusing on "Knights and Knaves" types of puzzles in which some characters are truthful while others answer only falsely. Word problems involving time and motion, with continuous variables and with solutions using algebra. Number theory, particularly focusing on Diophantine equations, continuing the theme of word problems but with discrete variables for numbers of people, goods, or costs, and also in
https://en.wikipedia.org/wiki/Lara%20Sharma	Lara Sharma (born 1 October 1999) is an Indian professional footballer who plays as a goalkeeper for Indian Super League club Kerala Blasters, on loan from Bengaluru. Career statistics Honours Bengaluru Durand Cup: 2022 References Living people 1999 births Indian men's footballers Men's association football goalkeepers Bengaluru FC players Kerala Blasters FC players
https://en.wikipedia.org/wiki/Mganza	Mganza is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 27,323 people in the ward, from 24,823 in 2012. References Wards of Kigoma Region
https://en.wikipedia.org/wiki/Liouba%20Bortniker	Liouba Bortniker (1860 – after 1903) was a mathematician from the Russian Empire who became a naturalized French citizen, was the first woman to earn an agrégation in mathematics, the inaugural winner of the Peccot–Vimont prize of the Collège de France, and the first woman to publish in the Comptes rendus de l'Académie des Sciences. She was known for her work on cyclides. Early life, education, and agrégation Bortniker was born on 20 May 1860 (according to the Julian calendar; 1 June in the Gregorian calendar) in Alexandrovka, a town that was at the time part of the Russian Empire and later became part of modern Ukraine. Later records indicate that she was Jewish. She left her family to move to Paris in 1879, earned a baccalauréat in 1880, and earned a licenciate in mathematical sciences 1881 through the Paris faculty of sciences; her jury consisted of mathematicians Jean Claude Bouquet and Jules Tannery, and astronomer Félix Tisserand. She became an assistant teacher in Sèvres, and was granted residency in France in December 1881. She took a leave from this position in 1883 to continue her studies, under a scholarship, and in 1884 was deemed eligible to attempt the agrégation, the first time this was ever allowed for a woman. However, because of poor performance on the oral component of the examination, she did not pass. In June 1885 she became a French citizen and in July and August 1885 she attempted the agrégation again, this time passing as the second out of twelve passing scores from over 100 registrants. After Bortniker in 1885, it was not until 1920 that Madeleine Chaumont and became the next women to receive the masculine agrégation, although by then an easier agrégation for women, aimed at teachers, had been introduced. Teaching career, research, and Peccot prize Bortniker became a science teacher at the lycée de jeunes filles in Montpellier. In 1886 Bortniker was named the inaugural winner of the Peccot–Vimont prize, which would later develop into the Peccot Lectures. The next two winners of the prize, Jacques Hadamard and Elie Cartan, became famous research mathematicians, as did many later recipients. Bortniker continued to publish sporadically over the next few years, including work on cyclides (shapes generalizing the torus), with an 1887 publication in the Comptes rendus de l'Académie des Sciences noted as being the first publication in that journal by a woman. She began working towards a doctoral thesis with Jean Gaston Darboux, but never completed it. In 1888 a group of mathematicians wrote a letter to the French government encouraging them to provide a maître de conférences position to Bortniker, comparing her favorably to Sofya Kovalevskaya but writing that Bortniker's modesty prevented her from advancing her own interests; Darboux wrote a second letter of support. With this support, she became the head of science at the . Illness and later life From 1890 onward, Bortniker's health deteriorated, and she had to take many
https://en.wikipedia.org/wiki/Gabriel%20Spalding	Gabriel C. Spalding is an American physicist. Spalding studied physics and mathematics at Washington University in St. Louis, graduating in 1983. Seven years later, he completed a doctorate in applied physics at Harvard University. In 1996, Spalding joined the Illinois Wesleyan University faculty. In 2014, Spalding received several honors. The SPIE and American Physical Society both elected him to fellow status. The APS additionally awarded Spalding the Jonathan F. Reichert and Barbara Wolff-Reichert Award for Excellence in Advanced Laboratory Instruction, and the American Association of Physics Teachers named him one of four recipients of its Homer L. Dodge Citations for Distinguished Service that year. References Fellows of the American Physical Society Fellows of SPIE 20th-century American physicists 21st-century American physicists Harvard University alumni Washington University in St. Louis alumni Living people Year of birth missing (living people) Illinois Wesleyan University faculty
https://en.wikipedia.org/wiki/Robert%20Klau%C3%9F	Robert Klauß (born 1 December 1984) is a German football manager and former player, who last managed 1. FC Nürnberg. Managerial statistics References External links RB Leipzig players SSV Markranstädt players RB Leipzig II players RB Leipzig non-playing staff 1. FC Nürnberg managers 1984 births Living people People from Eberswalde German men's footballers German football managers Men's association football forwards 2. Bundesliga managers Footballers from Brandenburg
https://en.wikipedia.org/wiki/List%20of%20Taipei%20Fubon%20Braves%20head%20coaches	Key Coaches Note: Statistics are correct through the end of the 2022–23 PLG season. References Taipei Fubon Braves
https://en.wikipedia.org/wiki/Buhingu	Buhingu is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 18,682 people in the ward, from 16,973 in 2012. Villages / neighborhoods The ward has 4 villages and 15 hamlets. Kalilani Kabukuyungu Kalolwa Katumba Mahasa Nkonkwa Kashela Katembwe Katumbi Kariakoo Minago Mteme Tunde Buhingu Buhingu A Buhingu B Madukani Rubundui Vilongwa References Wards of Kigoma Region
https://en.wikipedia.org/wiki/Igalula	Igalula is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 26,272 people in the ward, from 23,868 in 2012. References Wards of Kigoma Region
https://en.wikipedia.org/wiki/Ilagala	Ilagala is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 29,333 people in the ward, from 47,026 in 2012. Prior to 2014 the village of Mwakizega was in the Igalula Ward before splitting off to become the Mwakizega Ward. Villages / neighborhoods The ward has 2 villages and 11 hamlets. Ilagala Kabuyange Katete Lugogoni Lugongoni Machazo Mahanga Msambara Kajeje Kajeje A Kajeje B Mkanga Tundegambazi References Wards of Kigoma Region
https://en.wikipedia.org/wiki/Itebula	Itebula is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 27,305 people in the ward, from 24,807 in 2012. Hamlets The ward has 6 hamlets. Itebula Kalemela Kamfuba Lugongoni Songati A Songati B References Wards of Kigoma Region
https://en.wikipedia.org/wiki/Kalya%2C%20Uvinza	Kalya is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 24,751 people in the ward, from 22,486 in 2012. Villages / neighborhoods The ward has 3 villages and 18 hamlets. Sibwesa Katobelo Mtakuja Songambele Tujitegemee Tupendane Kalya Kagwila Kankuba Kapama Katunka Mlela Tumbushe Kashughulu Kampisa Kisinsa Lufubu Mjimwema Mpanga Ubanda Ugalaba References Wards of Kigoma Region
https://en.wikipedia.org/wiki/Extratime.com	extratime.com, formerly extratime.ie and stylised as extratime.com is an online sports website based in Ireland that provides news, fixtures, live scores, and in-depth statistics for football fans and followers. The site is widely recognized as a comprehensive source for domestic football news, covering all tiers of the Irish soccer pyramid, from underage to international levels. Its coverage includes the League of Ireland Premier Division, League of Ireland First Division, and the League of Ireland Women's Premier Division. Content extratime.com operates as a volunteer-driven portal and has witnessed the contribution of over 600 reporters and photographers since its establishment in 2008. The site covers Irish domestic and international news and well as world football news. It also has a comprehensive archive of Irish League of Ireland results, a searchable player and team archive and provides match day live updates. Columnists League of Ireland players and coaches have been featured columnists. These include: Damian Lynch, former St. Patrick's Athletic defender Gareth Maher, journalist Alan Smith, journalist Sean Connor, football manager Clare Tully James McClean former Derry City midfielder Paul Corry, UCD AFC midfielder Stephen Henderson, Cobh Ramblers manager Shane McFaul, St. Patrick's Athletic midfielder Éamon Zayed, Bray Wanderers striker Awards extratime.com was a finalist at the Irish Web Awards in 2009, 2010, 2013, 2015 and 2016. The site also won in the News Category at the RaboDirect Twitter Awards in 2014. References External links Irish sport websites Irish news websites Internet properties established in 2008 Association football websites
https://en.wikipedia.org/wiki/Mixed%20Poisson%20distribution	A mixed Poisson distribution is a univariate discrete probability distribution in stochastics. It results from assuming that the conditional distribution of a random variable, given the value of the rate parameter, is a Poisson distribution, and that the rate parameter itself is considered as a random variable. Hence it is a special case of a compound probability distribution. Mixed Poisson distributions can be found in actuarial mathematics as a general approach for the distribution of the number of claims and is also examined as an epidemiological model. It should not be confused with compound Poisson distribution or compound Poisson process. Definition A random variable X satisfies the mixed Poisson distribution with density (λ) if it has the probability distribution If we denote the probabilities of the Poisson distribution by qλ(k), then Properties The variance is always bigger than the expected value. This property is called overdispersion. This is in contrast to the Poisson distribution where mean and variance are the same. In practice, almost only densities of gamma distributions, logarithmic normal distributions and inverse Gaussian distributions are used as densities (λ). If we choose the density of the gamma distribution, we get the negative binomial distribution, which explains why this is also called the Poisson gamma distribution. In the following let be the expected value of the density and be the variance of the density. Expected value The expected value of the mixed Poisson distribution is Variance For the variance one gets Skewness The skewness can be represented as Characteristic function The characteristic function has the form Where is the moment generating function of the density. Probability generating function For the probability generating function, one obtains Moment-generating function The moment-generating function of the mixed Poisson distribution is Examples Table of mixed Poisson distributions Literature Jan Grandell: Mixed Poisson Processes. Chapman & Hall, London 1997, ISBN 0-412-78700-8 . Tom Britton: Stochastic Epidemic Models with Inference. Springer, 2019, References Discrete distributions Types of probability distributions
https://en.wikipedia.org/wiki/Deirdre%20Smeltzer	Deirdre Longacher Smeltzer (born 1964) is an American mathematician, mathematics educator, textbook author, and academic administrator. A former professor, dean, and vice president at Eastern Mennonite University, she is Senior Director for Programs at the Mathematical Association of America. Education and career Smeltzer was a mathematics major at Eastern Mennonite University, graduating in 1987 with a minor in Bible study. At Eastern Mennonite, mathematicians Millard Showalter and Del Snyder became faculty mentors, encouraging her to continue in advanced mathematics. She went on to graduate study in mathematics at the University of Virginia, earning a master's degree and completing her Ph.D. in 1994, with the dissertation Topics in Difference Sets in 2-Groups on difference sets in group theory, supervised by Harold Ward. She became a faculty member at the University of St. Thomas, a Catholic university in Saint Paul, Minnesota, before returning to Eastern Mennonite University as a faculty member in 1998. She chaired the mathematical sciences department from 2005 to 2012. As an undergraduate at Eastern Mennonite, she had participated in a cross-cultural visit to China, and as a faculty member, she led another such visit in 2013, and became director of cross-cultural programs for the university. In 2013, she was named the university's vice president and undergraduate dean. In that position, she led the university's creation of new programs in political science and global studies, among others. She stepped down from her administrative positions at Eastern Mennonite in 2019, and joined the Mathematical Association of America as Senior Director for Programs in 2020. Textbooks Smeltzer is the coauthor of two undergraduate textbooks in mathematics: Methods for Euclidean Geometry (with Owen Byer and Felix Lazebnik, Mathematical Association of America, 2010) and Journey into Discrete Mathematics (with Owen Byer and Kenneth Wantz, MAA Press, 2018). References 1964 births Living people American mathematicians American women mathematicians Mathematics educators Eastern Mennonite University alumni University of St. Thomas (Minnesota) faculty Eastern Mennonite University faculty
https://en.wikipedia.org/wiki/List%20of%20Formosa%20Dreamers%20head%20coaches	The following is a list of head coaches of the Taiwanese basketball team Formosa Dreamers. Coaches Key Note: Statistics are correct through the end of the 2022–23 PLG season. References
https://en.wikipedia.org/wiki/Kandaga%2C%20Uvinza	Kandaga is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 26,083 people in the ward, from 23,696 in 2012. Villages / hamlets The ward has 5 villages and 37 hamlets. Kalenge Hudumani Kibingwe Kilemba Kinombe Majengo Nyanzali Shuza Kandaga Hudumani Kafunzo Kagunga A Kagunga B Kalinzi A Kalinzi B Nyamponda Kazuramimba Kidea Kilelema A Kilelema B Kilelema C Rubona A Rubona B Rubona C Tambukareli Magharibi Tambukareli Mashariki Mlela Bitale A Bitale B Ibolelo Kataragusa Kayana Kitelema Nyamabuye Nyanganga Hudumani Majengo Mibangani A Mibangani B Mzungwe Nyabulamba References Wards of Kigoma Region
https://en.wikipedia.org/wiki/Nguruka	Nguruka is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 29,916 people in the ward, from 27,179 in 2012. Villages / neighborhoods The ward has 4 villages and 22 hamlets. Bweru Bweru Bweru Kusini Kaguruka Kaskazini Majengo Ruhama Itebula Itebula Kalemela Kamfuba Lugongoni Songati A Songati B Nguruka Chemchem Mkoronga Nguruka Kaskazini Nguruka Kusini Nyangabo Bulilang’ombe Humule Nyangabo Kaskazini Nyangabo Kati Nyangabo Kusini Reli Mpya Zegi References Wards of Kigoma Region
https://en.wikipedia.org/wiki/Sigunga	Sigunga is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 12,335 people in the ward, from 20,455 in 2012. Prior to 2014 the Herembe village was a part of Siguna Ward before it split off to form the Herembe Ward. Villages / neighborhoods The ward has 2 villages and 16 hamlets. Kaparamsenga Itiga Mashariki Itigi/Kapara Kaskazini Itigi/Kapara Magharibi Itigi/Kapara Magharibi Kaparamsenga Kusini Kaparamsenga Mashariki Lusambo Pungu Sigunga Kagwena Kahama Kahwibili Katale Kiboko Kichangani Mgangasima Sigoma References Wards of Kigoma Region
https://en.wikipedia.org/wiki/Sunuka	Sunuka is an administrative ward in Uvinza District of Kigoma Region in Tanzania. The ward covers an area of , and has an average elevation of . In 2016 the Tanzania National Bureau of Statistics report there were 39,651 people in the ward, from 36,023 in 2012. Villages / neighborhoods The ward has 5 villages and 24 hamlets. Kirando Kirando Msehezi Nyamamba Nyamkima Nyamsimbi Lyabusende Kabongo Lyabusende Mtakuja Karago Kanywangili Kitekati Kitentakuja Legezamwendo Mviga Mwamko Sunuka Kinyaba Lulinga Mafundikani Msombwezi Sunuka Songambele Anzerani Gagwe Gambazi Ilolo Nyandiga References Wards of Kigoma Region

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