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https://en.wikipedia.org/wiki/Peres%20%28Portuguese%20footballer%29	António Francisco de Jesus Moreira (born 3 February 1939) is a former Portuguese professional footballer. Career statistics Club Notes References 1939 births Living people Portuguese men's footballers Men's association football midfielders Primeira Liga players S.L. Benfica footballers Atlético Clube de Portugal players Vitória S.C. players
https://en.wikipedia.org/wiki/Moreira%20%28footballer%2C%20born%201941%29	António Francisco Nunes Moreira (born 20 October 1941) is a former Portuguese professional footballer. Career statistics Club Notes References 1941 births Living people Portuguese men's footballers Men's association football midfielders Primeira Liga players S.L. Benfica footballers Atlético Clube de Portugal players Vitória S.C. players
https://en.wikipedia.org/wiki/Maximiano	Maximiano Oliveira Salvador (born 25 February 1942) is a former Portuguese professional footballer. Career statistics Club Notes References External links 1942 births Living people Portuguese men's footballers Portugal men's youth international footballers Men's association football defenders Primeira Liga players S.L. Benfica footballers
https://en.wikipedia.org/wiki/Barroca%20%28footballer%2C%20born%201937%29	José Pedro Barroca da Silva (23 May 1937 – 17 May 2015) was a Portuguese professional footballer. Career statistics Club Notes References External links 1937 births 2015 deaths Portuguese men's footballers Portugal men's youth international footballers Men's association football goalkeepers Primeira Liga players Segunda Divisão players S.L. Benfica footballers Sporting CP footballers S.C. Farense players S.C. Olhanense players Footballers from Lisbon
https://en.wikipedia.org/wiki/Sid%C3%B3nio%20%28footballer%29	Sidónio da Silva Bastos Manhiça (born 16 April 1939) is a former Portuguese professional footballer. Career statistics Club Notes References 1939 births Living people Portuguese men's footballers Men's association football defenders Primeira Liga players Segunda Divisão players S.L. Benfica footballers Atlético Clube de Portugal players Varzim S.C. players AD Fafe players
https://en.wikipedia.org/wiki/Am%C3%A2ndio	Amândio da Costa Gonçalves (born 24 March 1943) is a former Portuguese professional footballer. Career statistics Club Notes References External links 1943 births Living people Portuguese men's footballers Portugal men's youth international footballers Men's association football defenders Primeira Liga players Segunda Divisão players S.L. Benfica footballers F.C. Tirsense players Associação Naval 1º de Maio players
https://en.wikipedia.org/wiki/%C3%81lvaro%20In%C3%A1cio	Álvaro Santos Fortes Inácio (born 28 September 1935) is a former Portuguese professional footballer. Career statistics Club Notes References External links 1935 births Living people Portuguese men's footballers Portugal men's youth international footballers Men's association football midfielders Primeira Liga players Segunda Divisão players C.F. Os Belenenses players Atlético Clube de Portugal players S.L. Benfica footballers S.C. Olhanense players Vitória S.C. players Footballers from Lisbon
https://en.wikipedia.org/wiki/Alfredo%20Esp%C3%ADrito%20Santo	Alfredo Agostinho Espirito Santo (born 18 April 1938) is a former Portuguese professional footballer. Career statistics Club Notes References 1938 births Living people Angolan men's footballers Portuguese men's footballers Men's association football forwards Primeira Liga players Segunda Divisão players S.L. Benfica (Luanda) players S.L. Benfica footballers S.C. Covilhã players S.C. Olhanense players G.D. Fabril players C.D. Montijo players People from Benguela Province
https://en.wikipedia.org/wiki/Armando%20Ramalho	Armando Ramalho Correia de Almeida (born 15 June 1938) is a former Portuguese professional footballer. Career statistics Club Notes References 1938 births Living people Portuguese men's footballers Men's association football goalkeepers Segunda Divisão players S.L. Benfica footballers S.C. Covilhã players
https://en.wikipedia.org/wiki/Nartanga	João Lopes Cardoso (6 April 1937 – 4 May 2019), commonly known as Nartanga, was a Portuguese professional footballer. Career statistics Club Notes References 1937 births 2019 deaths Bissau-Guinean men's footballers Portuguese men's footballers Men's association football forwards Primeira Liga players Segunda Divisão players S.L. Benfica footballers S.C. Covilhã players Sport Benfica e Castelo Branco players A.C. Marinhense players S.C. Beira-Mar players F.C. Penafiel players
https://en.wikipedia.org/wiki/Jorge%20Nogueira	Jorge Augusto Santos Nogueira (born 29 September 1942) is a former Portuguese professional footballer. Career statistics Club Notes References External links 1942 births Living people Portuguese men's footballers Portugal men's youth international footballers Men's association football defenders Segunda Divisão players S.L. Benfica footballers S.C. Covilhã players
https://en.wikipedia.org/wiki/Fonseca%20%28footballer%29	António Albuquerque de Almeida Fonseca (born 30 April 1938) is a former Portuguese professional footballer. Career statistics Club Notes References 1938 births Living people Portuguese men's footballers Men's association football defenders Segunda Divisão players Primeira Liga players Atlético Clube de Portugal players S.L. Benfica footballers Vitória S.C. players Varzim S.C. players F.C. Barreirense players
https://en.wikipedia.org/wiki/Carlos%20Angeja	Carlos Alberto Silva Angeja (born 12 November 1936) is a former Portuguese professional footballer. Career statistics Club Notes References External links 1936 births Living people Portuguese men's footballers Portugal men's youth international footballers Men's association football forwards Segunda Divisão players Primeira Liga players C.F. Os Belenenses players Atlético Clube de Portugal players S.L. Benfica footballers Amora F.C. players
https://en.wikipedia.org/wiki/Frank%20Wilson%20Warner	Frank Wilson Warner III (born March 2 1938 in Pittsfield, Massachusetts) is an American mathematician, specializing in differential geometry. Education and career Warner graduated in 1959 with a bachelor's degree from Pennsylvania State University and in 1963 with a Ph.D. in mathematics from the Massachusetts Institute of Technology. His thesis, written under the supervision of Isadore M. Singer, is entitled Conjugate Locus of a Riemannian Manifold. At the University of California, Berkeley, Warner was an assistant professor from 1965 to 1968. At the University of Pennsylvania, he became an associate professor in 1968 and a full professor in 1973. He was from 1995 to 1997 the deputy dean of the University of Pennsylvania School of Arts and Sciences. In 2000, he retired as professor emeritus. In the 1970s he and Jerry Kazdan, as collaborators, made important contributions to the theory of Riemannian manifolds with prescribed scalar curvature. They proved in 1975 that any smooth function can be realized as a scalar curvature if it becomes negative somewhere on the manifold. Their further research dealt with conjugate points on Riemannian manifolds. Warner was a Guggenheim Fellow for the academic year 1976–1977. He was elected in 1994 a Fellow of the American Association for the Advancement of Science. Selected publications Articles Books References Pennsylvania State University alumni Massachusetts Institute of Technology alumni University of Pennsylvania faculty Mathematicians at the University of Pennsylvania Fellows of the American Association for the Advancement of Science 20th-century American mathematicians 21st-century American mathematicians Differential geometers 1938 births Living people
https://en.wikipedia.org/wiki/Edgar%20Teixeira	Edgar Jesus Pereira Oliveira Teixeira (born 1 December 1989) is a former Macanese international footballer. Career statistics Club Notes International References 1989 births Living people Footballers from Santa Maria da Feira Macau men's footballers Macau men's international footballers Portuguese men's footballers Men's association football midfielders C.D. Feirense players Boavista F.C. players S.C. Espinho players S.L. Benfica de Macau players
https://en.wikipedia.org/wiki/Fernando%20Bento	Fernando Manuel Lopes Alves Bento (born 19 September 1960) is a former Macanese international footballer. Career statistics International References 1960 births Living people Macau men's footballers Macau men's international footballers Portuguese men's footballers Men's association football goalkeepers Sertanense F.C. players F.C. Lixa players G.D. Lam Pak players People from Abrantes Footballers from Santarém District
https://en.wikipedia.org/wiki/Kim%20Bo-yong	Kim Bo-yong (; born 15 July 1997) is a South Korean footballer currently playing as a forward for Chiangmai in Thai League 2. Career statistics Club References External links 1997 births Living people Soongsil University alumni South Korean men's footballers South Korean expatriate men's footballers Men's association football forwards K League 2 players Kim Bo-yong Uzbekistan Super League players Hwaseong FC players Jeonnam Dragons players Kim Bo-yong FK Turon Yaypan players Expatriate men's footballers in Uzbekistan
https://en.wikipedia.org/wiki/Kang%20Min-woo	Kang Min-woo (; born 26 March 1987) is a South Korean former footballer. Career statistics Club Notes References 1987 births Living people People from Namhae County Dongguk University alumni South Korean men's footballers South Korean expatriate men's footballers Men's association football defenders K League 1 players Campeonato de Portugal (league) players K3 League (2007–2019) players Gangwon FC players Gimcheon Sangmu FC players Vitória F.C. players Sertanense F.C. players South Korean expatriate sportspeople in Portugal Expatriate men's footballers in Portugal
https://en.wikipedia.org/wiki/Eugenie%20Maria%20Morenus	Eugenie Maria Morenus (February 21, 1881 – October 15, 1966) was an American mathematician and college professor. She taught Latin and mathematics at Sweet Briar College from 1909 to 1946. Early life and education Morenus was born in Cleveland, New York, the daughter of Eugene Morenus and Maria Euphemia Van Blarcom Morenus. Her father managed a glassworks. She graduated from Monogahela High School in 1898. She earned a bachelor's degree from Vassar College in 1904, and a master's degree from the same school in 1905. She completed doctoral studies in mathematics at Columbia University in 1922. Her dissertation under Edward Kasner was titled "Geometric properties completely characterizing the set of all the curves of constant pressure in a field of force". Morenus was also a student for briefer periods at the University of Chicago, and at Göttingen. Career Morenus taught mathematics and Latin at a school in Watertown, New York and at Poughkeepsie High School after her master's degree. She was a Latin instructor at Sweet Briar College from 1909 to 1916, and was a mathematics professor at the same school from 1916 to 1946. She was head of the mathematics department for much of that time. While at the school she was prominent in campus events, as a chorister, photographer, and play director. Her horse, October or "Toby", was a familiar figure on campus, and Morenus would lead ten-day rides for students over spring breaks. Morenus was a charter member of the Mathematical Association of America, belonged to the Virginia Academy of Science, and was active in the American Association of University Women (AAUW). She was active in the Order of the Eastern Star and the Daughters of the American Revolution. She received an Anna Brackett Fellowship by the AAUW in 1927, to study at Cambridge. After her retirement from Sweet Briar College in 1946, she taught briefly at Connecticut College for Women, and spent her winters in Florida. Personal life Morenus died in Lake Wales, Florida in 1966, aged 85 years. There was a scholarship endowment fund named for Morenus at Sweet Briar College, beginning in 1960. References 1881 births 1966 deaths American mathematicians Women mathematicians Vassar College alumni Columbia Graduate School of Arts and Sciences alumni Sweet Briar College faculty
https://en.wikipedia.org/wiki/Amir%20Syafiz	Amir Syafiz bin Abdul Rashid (born 21 June 2004) is a Singaporean footballer who plays as a midfielder for Malaysia Super League club Terengganu. Career statistics Club Notes International statistics U23 International caps U19 International caps U19 International goals Scores and results list Singapore's goal tally first. U16 International caps U16 International goals References 2004 births Living people Singaporean men's footballers Men's association football midfielders Singapore Premier League players Young Lions FC players
https://en.wikipedia.org/wiki/Florent%20Avdyli	Florent Avdyli (born 10 July 1993) is a Kosovar professional footballer who plays as a central midfielder for Kosovar club Malisheva. Career statistics Club Honours Club Teuta Kupa e Shqipërisë: 2019–20, Superkupa e Shqipërisë: 2020 Kategoria Superiore: 2020-21 References External links 1993 births Living people Footballers from Pristina People from Pristina Kosovan men's footballers Albanian men's footballers Men's association football midfielders Football Superleague of Kosovo players Kategoria Superiore players KF Hajvalia players FC Feronikeli 74 players KF Trepça players KF Liria Prizren players KF Teuta Durrës players Kosovan people of Albanian descent Expatriate men's footballers in Albania Kosovan expatriate men's footballers Kosovan expatriates in Albania
https://en.wikipedia.org/wiki/Khounsombath%20Phommaxay	Khounsombath Phommaxay ຄຸນສົມບັດ ພົມມະໄຊ(born January 8 1998), is a Laotian footballer currently playing as a defender for Ministry of Health FC and the Laos national football team. Career statistics International References 1988 births Living people Laotian men's footballers Laos men's international footballers Men's association football defenders
https://en.wikipedia.org/wiki/Joseph%20H.%20Sampson	Joseph Harold Sampson Jr. (1926 – 2003) was an American mathematician known for his work in mathematical analysis, geometry and topology, especially his work about harmonic maps in collaboration with James Eells. He obtained his Ph.D. in mathematics from Princeton University in 1951 under the supervision of Salomon Bochner. Mathematical work In 1964, Sampson and James Eells introduced harmonic maps, which are mappings between Riemannian manifolds which solve a geometrically-defined system of partial differential equations. They can also be defined via the calculus of variations. Generalizing Bochner's work on harmonic functions, Eells and Sampson derived the Bochner identity, and used it to prove the triviality of harmonic maps under certain curvature conditions. Eells and Sampson established the existence of harmonic maps whenever the domain manifold is closed and the target has nonpositive sectional curvature. Their proof analyzed the harmonic map heat flow, which is a geometrically-defined heat equation. By establishing a priori estimates for the flow, they were able to prove its convergence under the indicated curvature assumption. The use of the Bochner identity in deriving estimates is where the assumption on sectional curvature plays a crucial role. As a result of Eells and Sampson's (subsequential) convergence theorem, they were able to prove the existence of harmonic maps in any homotopy class. As such, harmonic maps may be regarded as canonically-defined representatives of topological spaces of mappings. This perspective has enabled the application of harmonic maps to many problems in geometry and topology. Eells and Sampson's work is one of the most famous papers in the field of differential geometry, and was a direct inspiration for Richard Hamilton's epochal work on the Ricci flow. In addition to Eells and Sampson's heat flow, their main results on existence of harmonic maps can also be derived via the calculus of variations, using the regularity theory developed in the 1980s by Richard Schoen and Karen Uhlenbeck. Later, in 1978, Sampson developed unique continuation, maximum principles, further rigidity theorems, and deformability results for harmonic maps. He also proved that a harmonic map of degree one between compact hyperbolic Riemann surfaces must be a diffeomorphism. The same result was obtained at the same time by Schoen and Shing-Tung Yau. Major publications Over the course of forty years, Sampson published around twenty research articles. References American mathematicians 1926 births 2003 deaths Princeton University alumni
https://en.wikipedia.org/wiki/Selenne%20Ba%C3%B1uelos	Selenne Bañuelos (born January 29, 1985) is an American mathematician and associate professor of mathematics at California State University Channel Islands. Her research is in the areas of differential and difference equations and dynamical systems, with a focus on their applications to mathematical biology. Early life, education, and career Bañuelos was born Selenne Hayde Torres-Garcia to Alex Garcia and Georgina Torres, Mexican immigrants who raised her in the community of Boyle Heights, east of downtown Los Angeles. earned her B.S. degree in mathematics from the University of California, Santa Barbara in 2007. She was awarded a Ph.D. in applied mathematics from the University of Southern California (USC) in 2013. Her dissertation Structured two-stage population model with migration between multiple locations in a periodic environment was supervised by Robert John Sacker. During her doctoral studies at USC, she was presented with the Department of Mathematics Denis Ray Estes Graduate Teaching Prize. She was a co-founder of the USC chapter of SACNAS. Bañuelos was part of the SACNAS Chapter Leadership Institute Alumni for her work at USC. Bañuelos joined the faculty at California State University Channel Islands in 2014 as an assistant professor of mathematics. She is currently an associate professor of mathematics. She is co-advisor to the SACNAS chapter at Channel Islands, a mentor for Math Alliance, and a mentor and advisor for the CSU Alliance PUMP (Preparing Undergraduates through Mentoring towards PhDs) Program. In 2014, Bañuelos was a Linton Poodry SACNAS Leadership Institute fellow and in 2015, she was a Project NExT, New Experiences in Teaching, fellow. In 2018, Bañuelos was featured on the Lathisms calendar. In 2020, she received the Mathematical Association of America Henry L. Alder Award for Distinguished Teaching. She is included in deck 2 of EvenQuads which is a series of playing card decks that feature notable women mathematicians published by the Association of Women in Mathematics. References External links Mathematics Faculty at CSU Channel Islands Selenne Bañuelos Author Profile at MathSciNet Accomplishments of Selenne Bañuelos at CSU Channel Islands Living people American women mathematicians American academics of Mexican descent University of Southern California alumni California State University Channel Islands faculty University of California, Santa Barbara alumni 21st-century women mathematicians 21st-century American mathematicians 1985 births 21st-century American women academics
https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20Italy	This article presents official statistics gathered during the COVID-19 pandemic in Italy. Statistics Data quality issues Deaths statistics for Italy include coronavirus victims who died in hospital, as well as those who died outside of hospitals and were tested before or after dying. Post-mortem tests are routinely carried out, and there is no distinction between people who died "with" or "of" coronavirus, including patients with pre-existing conditions, which make up 96% of the total death count. However, in regions where the healthcare system has been overwhelmed by the pandemic (e.g. Lombardy), official death statistics likely missed a portion of deaths outside hospitals. In some areas of northern Italy, a comparison of the average registered deaths over the previous years with the deaths in the first months of 2020 showed a sizeable excess of deaths that were not officially included in the coronavirus toll. In the month of March, 10,900 excess deaths have been estimated, that have not been reported as COVID-19 deaths. Not all European countries count coronavirus-related deaths with the same criteria. For instance, in some other European countries, a distinction is made between deaths caused by coronavirus and deaths of people infected with coronavirus, thus often excluding deaths of people with pre-existing conditions. In addition to this, some countries only report deaths in hospitals. Confirmed cases, deaths, and recoveries Charts The graphs show the development of the pandemic starting from 21 February 2020, the day when the Lombardy and Veneto clusters were first detected. References- statistics Italy
https://en.wikipedia.org/wiki/Ryusuke%20Otomo	is a Japanese football player for Montedio Yamagata. Club statistics Updated to 7 December 2022. References External links 2000 births Living people Association football people from Akita Prefecture Japanese men's footballers J2 League players J3 League players Montedio Yamagata players Azul Claro Numazu players Men's association football goalkeepers
https://en.wikipedia.org/wiki/Taisei%20Takase	is a Japanese footballer currently playing as a forward for FC Imabari. Career statistics Club . Notes References 2003 births Living people People from Imabari, Ehime Association football people from Ehime Prefecture Japanese men's footballers Men's association football forwards J3 League players FC Imabari players
https://en.wikipedia.org/wiki/Kosei%20Tajiri	is a Japanese footballer currently playing as a midfielder for Kochi United SC. Career statistics Club . Notes References External links 2001 births Living people Association football people from Kumamoto Japanese men's footballers Men's association football midfielders J3 League players Roasso Kumamoto players
https://en.wikipedia.org/wiki/Keigo%20Hashimoto	is a Japanese footballer currently playing as a forward for Tegevajaro Miyazaki. Career statistics Club . Notes References 1998 births Living people Association football people from Osaka Prefecture Osaka University of Commerce alumni Japanese men's footballers Men's association football forwards J3 League players Tegevajaro Miyazaki players
https://en.wikipedia.org/wiki/Kazuki%20Kijima	is a Japanese footballer currently playing as a midfielder for Azul Claro Numazu. Career statistics Club . Notes References 1998 births Living people Juntendo University alumni Japanese men's footballers Men's association football midfielders J3 League players Kashiwa Reysol players Azul Claro Numazu players
https://en.wikipedia.org/wiki/Ryang%20Hyon-ju	is a Japanese-born North Korean footballer currently playing as a forward for FC Imabari. Career statistics Club . Notes References 1998 births Living people Waseda University alumni Japanese men's footballers North Korean men's footballers North Korea men's youth international footballers Men's association football forwards J3 League players Omiya Ardija players FC Imabari players
https://en.wikipedia.org/wiki/Seigo%20Takei	is a Japanese footballer currently playing as a forward for FC Imabari. Career statistics Club . Notes References 1998 births Living people Association football people from Saitama (city) Tokai University alumni Japanese men's footballers Men's association football forwards J3 League players FC Imabari players
https://en.wikipedia.org/wiki/Ryoma%20Kita	is a Japanese footballer currently playing as a midfielder for FC Gifu. Career statistics Club . Notes References 1998 births Living people Kanto Gakuin University alumni Japanese men's footballers Men's association football midfielders J3 League players Azul Claro Numazu players
https://en.wikipedia.org/wiki/Ko%20Watahiki	is a Japanese footballer currently playing as a right-back for SC Sagamihara from 2023. Career statistics Club . Notes References 1998 births Living people Sportspeople from Ibaraki Prefecture Association football people from Ibaraki Prefecture National Institute of Fitness and Sports in Kanoya alumni Japanese men's footballers Men's association football defenders Japan Football League players J3 League players Tegevajaro Miyazaki players SC Sagamihara players 21st-century Japanese people
https://en.wikipedia.org/wiki/Kenta%20Okuma	is a Japanese footballer currently playing as a midfielder for Tegevajaro Miyazaki. Career statistics Club . Notes References 1998 births Living people Fukuoka University alumni Japanese men's footballers Men's association football midfielders Japan Football League players J3 League players FC Tokyo players Tegevajaro Miyazaki players
https://en.wikipedia.org/wiki/Kaito%20Umeda	is a Japanese footballer currently playing as a forward for Mito HollyHock. Career statistics Club . Notes References 1998 births Living people Sportspeople from Yamaguchi Prefecture Association football people from Yamaguchi Prefecture Fukuoka University alumni Japanese men's footballers Men's association football forwards Japan Football League players J3 League players Tegevajaro Miyazaki players
https://en.wikipedia.org/wiki/Kota%20Ishida	is a Japanese footballer currently playing as a midfielder for Tegevajaro Miyazaki. Career statistics Club . Notes References 1998 births Living people Fukuoka University alumni Japanese men's footballers Men's association football midfielders Japan Football League players J3 League players Tegevajaro Miyazaki players
https://en.wikipedia.org/wiki/Ryo%20Watanabe%20%28footballer%2C%20born%20September%201996%29	is a Japanese professional footballer who plays as a midfielder for Vanraure Hachinohe. Career statistics Club . Notes References 1996 births Living people Sportspeople from Chiba Prefecture Association football people from Chiba Prefecture Nippon Sport Science University alumni Japanese men's footballers Men's association football midfielders Japan Football League players J3 League players FC Tokyo players Tegevajaro Miyazaki players Vanraure Hachinohe players
https://en.wikipedia.org/wiki/Kosei%20Uryu	is a Japanese footballer currently playing as a midfielder for Azul Claro Numazu. Career statistics Club . Notes References 1996 births Living people Sportspeople from Fukuoka Prefecture Association football people from Fukuoka Prefecture Fukuoka University alumni Japanese men's footballers Japan men's youth international footballers Men's association football midfielders Japan Football League players J3 League players FC Imabari players Verspah Oita players Azul Claro Numazu players
https://en.wikipedia.org/wiki/Kazuki%20Chibu	is a Japanese footballer currently playing as a midfielder for Tegevajaro Miyazaki. Career statistics Club . Notes References External links 1995 births Living people Association football people from Hiroshima Prefecture Japanese men's footballers Men's association football midfielders Japan Football League players J3 League players Fagiano Okayama players Verspah Oita players Tegevajaro Miyazaki players
https://en.wikipedia.org/wiki/Kosuke%20Fujioka	is a Japanese footballer currently playing as a forward for FC Gifu. Career statistics Club . Notes References External links 1994 births Living people Association football people from Yamaguchi Prefecture Japanese men's footballers Men's association football forwards Japan Football League players J3 League players Fagiano Okayama players Tegevajaro Miyazaki players FC Gifu players
https://en.wikipedia.org/wiki/Samuel%20Abiodun%20Saanumi	Samuel Abiodun Saanumi (born 19 December 1991) is a Nigerian footballer currently playing as a forward for J-Lease FC. Career statistics Club . Notes References 1991 births Living people Nigerian men's footballers Nigerian expatriate men's footballers Men's association football forwards Japan Football League players J3 League players Saint George S.C. players Ethiopian Coffee S.C. players Tegevajaro Miyazaki players Nigerian expatriate sportspeople in Ethiopia Expatriate men's footballers in Ethiopia Nigerian expatriate sportspeople in Japan Expatriate men's footballers in Japan
https://en.wikipedia.org/wiki/Nirenberg%27s%20conjecture	In mathematics, Nirenberg's conjecture, now Osserman's theorem, states that if a neighborhood of the sphere is omitted by the Gauss map of a complete minimal surface, then the surface in question is a plane. It was proved by Robert Osserman in 1959. Original reference Osserman, R (1959) . "Proof of a Conjecture of Nirenberg." Comm. Pure Appl. Math. 12, pp. 229–232. References External links Weisstein, Eric W. "Nirenberg's Conjecture." From MathWorld–A Wolfram Web Resource. Theorems in differential geometry Conjectures that have been proved
https://en.wikipedia.org/wiki/Bhargav%20Bhatt%20%28mathematician%29	Bhargav Bhatt (born 1983) is a mathematician who is the Fernholz Joint Professor at the Institute for Advanced Study and Princeton University and works in arithmetic geometry and commutative algebra. Early life and education Bhatt graduated with an B.S. in Applied Mathematics, summa cum laude from Columbia University under the supervision of Shou-Wu Zhang. He received his Ph.D. from Princeton University in 2010 under the supervision of Aise Johan de Jong. Career Bhatt was a Postdoctoral Assistant Professor in mathematics at the University of Michigan from 2010 to 2014 (on leave from 2012 to 2014). Bhatt was a member of the Institute for Advanced Study from 2012 to 2014. He then returned to the University of Michigan, serving as an Associate Professor from 2014 to 2015, a Gehring Associate Professor from 2015 to 2018, a Professor from 2018 to 2020, and a Frederick W and Lois B Gehring Professor since 2020. In July 2022, he was appointed as the Fernholz Joint Professor in the School of Mathematics at the Institute for Advanced Study, with a joint appointment at Princeton University. Research Bhatt's research focuses on commutative algebra and arithmetic geometry, especially on p-adic cohomology. Bhatt and Peter Scholze have developed a theory of prismatic cohomology, which has been described as progress towards motivic cohomology by unifying singular cohomology, de Rham cohomology, ℓ-adic cohomology, and crystalline cohomology. Awards In 2015, Bhatt was awarded a 5-year Packard Fellowship. Bhatt received the 2021 New Horizons in Mathematics Prize. He was elected to become a Fellow of the American Mathematical Society in 2021. Also in 2021 he received the Clay Research Award. In 2022 he was awarded the Nemmers Prize in Mathematics. Selected publications References External links Website of Bhargav Bhatt Columbia School of Engineering and Applied Science alumni Princeton University alumni University of Michigan faculty Institute for Advanced Study faculty Arithmetic geometers 21st-century American mathematicians Fellows of the American Mathematical Society 1983 births Living people
https://en.wikipedia.org/wiki/Maaya%20Sako	is a Japanese footballer currently playing as a defender for Nagano Parceiro, on loan from Tokyo Verdy. Career statistics Club . Notes Honours Japan U16 AFC U-16 Championship: 2018 References 2002 births Living people Japanese men's footballers Japan men's youth international footballers Men's association football defenders J3 League players Tokyo Verdy players Fujieda MYFC players
https://en.wikipedia.org/wiki/Toi%20Kagami	is a Japanese footballer currently playing as a midfielder for Iwate Grulla Morioka. Career statistics Club . Notes References 1999 births Living people Toin University of Yokohama alumni Japanese men's footballers Men's association football midfielders J2 League players J3 League players Iwate Grulla Morioka players
https://en.wikipedia.org/wiki/Kakeru%20Suminaga	is a Japanese footballer currently playing as a midfielder for ReinMeer Aomori Career statistics Club . Notes References 1998 births Living people Meiji University alumni Japanese men's footballers Japan men's youth international footballers Men's association football midfielders J3 League players AC Nagano Parceiro players
https://en.wikipedia.org/wiki/Shunji%20Masuda	is a Japanese footballer currently playing as a midfielder for SC Sagamihara on loan from Iwate Grulla Morioka. Career statistics Club . Notes References 1998 births Living people Kindai University alumni Japanese men's footballers Men's association football midfielders J2 League players J3 League players Iwate Grulla Morioka players
https://en.wikipedia.org/wiki/Kairi%20Harayama	is a Japanese footballer currently playing as a midfielder for Vanraure Hachinohe. Career statistics Club . Notes References External links 1997 births Living people Association football people from Saitama Prefecture Tokyo Gakugei University alumni Japanese men's footballers Men's association football midfielders J3 League players Iwate Grulla Morioka players Vanraure Hachinohe players
https://en.wikipedia.org/wiki/Tomoya%20Osawa%20%28footballer%2C%20born%202002%29	is a Japanese footballer currently playing as a forward for Omiya Ardija. Career statistics Club . Notes References External links 2002 births Living people Japanese men's footballers Japan men's youth international footballers Men's association football forwards J2 League players Omiya Ardija players
https://en.wikipedia.org/wiki/Shunya%20Suzuki	is a Japanese footballer currently playing as a left-back for Omiya Ardija as a designated special player. He is the brother of fellow footballer Fumiya Suzuki. Career statistics Club . Notes References External links 2000 births Living people Waseda University alumni Japanese men's footballers Men's association football defenders J3 League players FC Tokyo players Omiya Ardija players
https://en.wikipedia.org/wiki/List%20of%20Slavia%20Prague%20records%20and%20statistics	Slavia Prague is a professional football club competing in the Czech First League and is one of four teams never relegated from the league since its inception in September 1993 after the country's rebirth. In terms of football achievements Slavia is the second-most successful club of the Czechoslovak First League and acquired second-most points in the Czech first league. Since 1925 there have been 71 completed seasons of Czechoslovak league and 28 completed Czech league seasons, in which Slavia has won 21 league titles, nine Czech cups, two doubles (in 2019 and 2021) and one Czechoslovak Supercup. In the title-winning 2020-21 the team completed an entire season undefeated and set a Czech record for the longest top-flight unbeaten league run at 46 games between 2020 and 2021. All statistics are correct as of 30 May 2021. Statistics Slavia Prague's tally of 21 League titles is the second-highest in Czech football, after Sparta Prague. As of May 2021, they are one of five teams, the others being FC Viktoria Plzeň, FC Baník Ostrava and FC Slovan Liberec, that has won the Czech Football League since its reformation in 1993. Slavia also holds 5 Czech Cups and has achieved two League and Cup "doubles" (in 2019 and 2021). Slavia is one of three teams that have not been relegated from the top tier of Czech football since 1993, the other two being Sparta Prague and Slovan Liberec. Vlastimil Kopecký holds the record for Slavia appearances, having played 953 first-team matches between 1932 and 1950, while the second most appearances are linked to František Veselý (920) followed by Bohumil Smolík (772). Josef Bican is the club's top goalscorer with 417 goals between 1937 and 1948. The only other player to score 200 or more goals in the Czech or Czechoslovak top tier is Vlastimil Kopecký. Antonín Puč spent almost two decades in red and white, mostly as a left-winger, and scored 112 league goals for the club. Taking into consideration solely the Czech First League statistics since 1993, the record for the most Slavia Prague appearances is held by Milan Škoda (214), followed by David Hubáček (199) and goalkeeper Radek Černý (193). Slavia's top league goal scorer since 1993 is Milan Škoda (77), followed by Stanislav Vlček (44) and Tomáš Došek (40). The most clean sheets by Slavia goalkeeper were 86 by Radek Černý, followed by Ondřej Kolář (45) and Jan Stejskal (42). In the 2019/20 season Ondřej Kolář has established few records for Slavia's goalkeeping – the most clean sheets in a single season (23) and the most consecutive minutes without conceding a goal (788 mins), while Slavia Prague's defense conceded 12 goals in the entire season – another best. Kolář also became the fastest goalkeeper of the Czech First League to keep 50 clean sheets, which took him 101 games (with all clubs). Team records Player records Most appearances Most goals Attendance records Coach records Transfer records Arrivals Departures Recent top goalscorers Top goalscor
https://en.wikipedia.org/wiki/Kyriakos%20Antoniou	Kyriakos Antoniou (born 7 May 2001) is a Cyprian professional footballer who plays as a defender for AEZ Zakakiou in the Cypriot First Division. Career statistics References External links Kyriakos Antoniou on Pafos' website 2001 births Living people Men's association football defenders Pafos FC players AEZ Zakakiou players Cypriot men's footballers
https://en.wikipedia.org/wiki/Ethelwynn%20Rice%20Beckwith	Mary Ethelwynn Rice Beckwith (January 7, 1879 – August 31, 1955) was an American mathematics educator. She held a PhD in economics from Radcliffe College, and taught for over forty years, at the Emma Willard School, Western Reserve University, Vassar College, and Milwaukee-Downer College. Early life and education Mary Ethelwynn Rice was born in Hartford, Connecticut, the daughter of William Holden Price and Elizabeth P. Kinney Rice. Her father was an ordained minister, and she spent some of her girlhood in Hawaii, where she was valedictorian in the Punahou School class of 1896. Rice graduated from Oberlin College in 1900, and earned a master's degree at Western Reserve University in 1909. She pursued graduate studies at Vassar College and the University of Göttingen, and completed a doctorate in economics at Radcliffe College in 1925, with a dissertation titled "Inequalities in the Distribution of Income, their Meaning and Measurement." She was treasurer of the Radcliffe Graduate Club. Career Beckwith was a widow in her mid-twenties when she taught mathematics at the Emma Willard School in New York from 1905 to 1907. She taught mathematics at Western Reserve University from 1913 to 1920, and at Vassar College from 1921 to 1925. She was professor of mathematics and astronomy and head of the mathematics department at Milwaukee-Downer College in Wisconsin from 1925 to 1947. She was an active member of the Mathematical Association of America. She traveled to Trujillo, Peru in 1936 to witness a total solar eclipse, and wrote about the trip and the event for the Oberlin Alumnae Magazine, quipping that "no subject under the sun is more worthy of study than the sun itself". Personal life In 1900, Ethelwynn Rice married William Erastus Beckwith. They lived in Paia, Maui, where he died in 1904. She died from injuries sustained in a car accident in 1955, aged 77 years, in Manitowoc, Wisconsin. References 1879 births 1955 deaths American economists People from Hartford, Connecticut Punahou School alumni Case Western Reserve University alumni Case Western Reserve University faculty Vassar College faculty Vassar College alumni Oberlin College alumni Milwaukee-Downer College faculty Radcliffe College alumni Emma Willard School
https://en.wikipedia.org/wiki/Kazuma%20Nagai	is a Japanese footballer currently playing as a defender for Mito HollyHock. Career statistics Club . Notes References External links 1998 births Living people Kansai University alumni Japanese men's footballers Men's association football defenders J2 League players Kyoto Sanga FC players
https://en.wikipedia.org/wiki/Association%20for%20Women%20in%20Mathematics%20Newsletter	Association for Women in Mathematics Newsletter is the membership journal of the Association for Women in Mathematics (AWM) and is published bimonthly. The inaugural issue appeared in May 1971, a few months after the AWM began. The first editor was Mary W. Gray, who was also the first "chairman" of the AWM. Gray was succeeded as editor by Alice T. Schafer, who also took over as president. Schafer edited a few issues and Judith Roitman succeeded her; Roitman later became the fourth AWM president. In 1977, Anne Leggett was appointed editor, a position which she retains to this day. The AWM Newsletter is sent, by request, to all regular members of the AWM. It is currently an open access journal and all issues are available at its website. As described in "A Brief History of the Association for Women in Mathematics: The President's Perspectives," by third AWM president Lenore Blum: Each issue contains the "President's Report," announcements of prizes and awards given to women, notices of upcoming meetings and workshops, several columns (Book Review, Education, Media and others), as well as "In Memoriam" articles. There is an archive of all past issues of the AWM Newsletter available as pdf files. Associate editor Sarah J. Greenwald created a searchable database, with the help of the migration specialist at Appalachian State University. References External links Mathematics journals English-language journals Bimonthly journals Publications established in 1971 Mathematics magazines 1971 establishments in the United States Women in mathematics
https://en.wikipedia.org/wiki/Tiago%20C%C3%B3ser	Tiago Cóser (born 16 January 2004), sometimes known just as Tiago, is a Brazilian professional footballer who plays as a central defender for Portuguese side Benfica B. Career statistics Club References External links Chapecoense official profile (archived) 2004 births Living people People from Chapecó Brazilian men's footballers Brazil men's youth international footballers Men's association football defenders Campeonato Brasileiro Série A players Associação Chapecoense de Futebol players S.L. Benfica B players Brazilian expatriate men's footballers Brazilian expatriate sportspeople in Portugal Expatriate men's footballers in Portugal Footballers from Santa Catarina (state)
https://en.wikipedia.org/wiki/Polygon%20with%20holes	In geometry, a polygon with holes is an area-connected planar polygon with one external boundary and one or more interior boundaries (holes). Polygons with holes can be dissected into multiple polygons by adding new edges, so they are not frequently needed. An ordinary polygon can be called simply-connected, while a polygon-with-holes is multiply-connected. An H-holed-polygon is H-connected. Degenerate holes Degenerate cases may be considered, but a well-formed holed-polygon must have no contact between exterior and interior boundaries, or between interior boundaries. Nondegenerate holes should have 3 or more sides, excluding internal point boundaries (monogons) and single edge boundaries (digons). Boundary orientation Area fill algorithms in computational lists the external boundary vertices can be listed in counter-clockwise order, and interior boundaries clockwise. This allows the interior area to be defined as left of each edge. Conversion to ordinary polygon A polygons with holes can be transformed into an ordinary unicursal boundary path by adding (degenerate) connecting double-edges between boundaries, or by dissecting or triangulating it into 2 or more simple polygons. In polyhedra Polygons with holes can be seen as faces in polyhedra, like a cube with a smaller cube externally placed on one of its square faces (augmented), with their common surfaces removed. A toroidal polyhedron can also be defined connecting a holed-face to a holed-faced on the opposite side (excavated). The 1-skeleton (vertices and edges) of a polyhedron with holed-faces is not a connected graph. Each set of connected edges will make a separate polyhedron if their edge-connected holes are replaced with faces. The Euler characteristic of hole-faced polyhedron is χ = V - E + F = 2(1-g) + H, genus g, for V vertices, E edges, F faces, and H holes in the faces. Examples Examples with degenerate holes A face with a point hole is considered a monogonal hole, adding one vertex, and one edge, and can attached to a degenerate monogonal hosohedron hole, like a cylinder hole with zero radius. A face with a degenerate digon hole adds 2 vertices and 2 coinciding edges, where the two edges attach to two coplanar faces, as a dihedron hole. References Polygons Euclidean plane geometry
https://en.wikipedia.org/wiki/Aristotle%27s%20axiom	Aristotle's axiom is an axiom in the foundations of geometry, proposed by Aristotle in On the Heavens that states: If is an acute angle and AB is any segment, then there exists a point P on the ray and a point Q on the ray , such that PQ is perpendicular to OX and PQ > AB. Aristotle's axiom is a consequence of the Archimedean property, and the conjunction of Aristotle's axiom and the Lotschnittaxiom, which states that "Perpendiculars raised on each side of a right angle intersect", is equivalent to the Parallel Postulate. Without the parallel postulate, Aristotle's axiom is equivalent to each of the following three incidence-geometric statements: Given a line a and a point P on a, as well as two intersecting lines m and n, both parallel to a, there exists a line g through P which intersects m but not n. Given a line a as well as two intersecting lines m and n, both parallel to a, there exists a line g which intersects a and m, but not n. Given a line a and two distinct intersecting lines m and n, each different from a, there exists a line g which intersects a and m, but not n. References Sources Foundations of geometry Aristotelianism
https://en.wikipedia.org/wiki/Gabriel%20Peyr%C3%A9	Gabriel Peyré (born 1979) is a French mathematician. Most of his work lies in the field of transportation theory. He is a CNRS senior researcher and a Professor in the mathematics and applications department of the École normale supérieure in Paris. He was awarded the CNRS Silver Medal in 2021. Life and work His work mainly focuses on applied mathematics, in particular on the imaging sciences and machine learning applications of optimal transport. Gabriel Peyré is also the deputy director of the 3IA Paris Artificial Intelligence Research Institute as well as a member of the scientific committee of the ENS center for data science. He is also the creator of the Numerical tour of data science, a popular online repository of Python/Matlab/Julia/R resources to teach mathematical data sciences. He is a frequent collaborator of the INRIA team Mokaplan. Awards and distinctions Gabriel Peyré was awarded the Blaise Pascal Prize in 2017 from the Académie des sciences as well as the Enrico Magenes Prize (2019) from the Unione Matematica Italiana. He also was an invited speaker at the European Congress of Mathematics in 2020. His research was supported by an ERC starting grant in 2012 and by an ERC consolidator grant in 2017. In 2021, he was awarded the CNRS Silver Medal. Major publications Benamou, J.-D., Carlier, G., Cuturi, M., Nenna, L., & Peyré, G. (2015). Iterative bregman projections for regularized transportation problems [Publisher: Society for Industrial and Applied Mathematics]. SIAM Journalon Scientific Computing, 37(2), A1111–A1138. Peyré, G., Bougleux, S., & Cohen, L. (2008). Non-local regularization of inverse problems. In D. Forsyth, P. Torr, & A. Zisserman (Eds.), Computer vision – ECCV 2008 (pp. 57–68). Springer. Peyré, G., & Cuturi, M. (2019). Computational optimal transport: With applications to data science [Publisher: Now Publishers, Inc.]. Foundations and Trends in Machine Learning, 11(5), 355–607. Rabin, J., Peyré, G., Delon, J., & Bernot, M. (2012). Wasserstein barycenter and its application to texture mixing. In A. M. Bruckstein, B. M. ter Haar Romeny, A. M. Bronstein, & M. M. Bronstein (Eds.), Scale spaceand variational methods in computer vision (pp. 435–446). Springer. Solomon, J., de Goes, F., Peyré, G., Cuturi, M., Butscher, A., Nguyen, A., Du, T., & Guibas, L. (2015). Convolutional wasserstein distances: Efficient optimal transportation on geometric domains. ACM Transactions on Graphics, 34(4), 66:1–66:11. References External links Applied mathematicians Living people French mathematicians 1979 births Research directors of the French National Centre for Scientific Research
https://en.wikipedia.org/wiki/Jean%20Filder	Jean Richard Filder (born 7 December 1994) is a Haitian professional footballer who plays as a forward for Madureira. Career statistics Club Notes References 1994 births Living people Haitian men's footballers Haitian expatriate men's footballers Men's association football forwards Sheikh Russel KC players Esporte Clube Santo André players Esporte Clube São Bernardo players Paulista Futebol Clube players Madureira Esporte Clube players Haitian expatriate sportspeople in Bangladesh Expatriate men's footballers in Bangladesh Expatriate men's footballers in Brazil
https://en.wikipedia.org/wiki/Lotschnittaxiom	The Lotschnittaxiom (German for "axiom of the intersecting perpendiculars") is an axiom in the foundations of geometry, introduced and studied by Friedrich Bachmann. It states: Bachmann showed that, in the absence of the Archimedean axiom, it is strictly weaker than the rectangle axiom, which states that there is a rectangle, which in turn is strictly weaker than the Parallel Postulate, as shown by Max Dehn. In the presence of the Archimedean axiom, the Lotschnittaxiom is equivalent with the Parallel Postulate. Equivalent formulations As shown by Bachmann, the Lotschnittaxiom is equivalent to the statement Through any point inside a right angle there passes a line that intersects both sides of the angle. It was shown in that it is also equivalent to the statement The altitude in an isosceles triangle with base angles of 45° is less than the base. and in that it is equivalent to the following axiom proposed by Lagrange: If the lines a and b are two intersecting lines that are parallel to a line g, then the reflection of a in b is also parallel to g. As shown in, the Lotschnittaxiom is also equivalent to the following statements, the first one due to A. Lippman, the second one due to Henri Lebesgue Given any circle, there exists a triangle containing that circle in its interior. Given any convex quadrilateral, there exists a triangle containing that convex quadrilateral in its interior. Three more equivalent formulations, all purely incidence-geometric, were proved in: Given three parallel lines, there is a line that intersects all three of them. There exist lines a and b, such that any line intersects a or b. If the lines a_1, a_2, and a_3 are pairwise parallel, then there is a permutation (i,j,k) of (1,2,3) such that any line g which intersects a_i and a_j also intersects a_k. In Bachmann's geometry of line-reflections Its role in Friedrich Bachmann's absolute geometry based on line-reflections, in the absence of order or free mobility (the theory of metric planes) was studied in and in. Connection with the Parallel Postulate As shown in, the conjunction of the Lotschnittaxiom and of Aristotle's axiom is equivalent to the Parallel Postulate. References Sources Foundations of geometry
https://en.wikipedia.org/wiki/Elaine%20Kasimatis	Elaine Ann Kasimatis was an American mathematician specializing in discrete geometry and mathematics education. She was a professor in the Department of Mathematics & Statistics at California State University, Sacramento. Education and career Kasimatis was educated at the University of California, Davis. She earned a bachelor's degree in mathematics there in 1976, and a master's degree in mathematics education in 1979. She returned to Davis for graduate study in pure mathematics, earning a second master's degree in 1983 and completing her Ph.D. in 1986. Her dissertation, Dissection of Regular Polygons into Triangles of Equal Areas, was supervised by Sherman K. Stein. She joined the faculty at California State University, Sacramento in 1986. Contributions Kasimatis was known for her work on equidissection, the subdivision of polygons into triangles of equal area; with Stein, she made the first studies of equidissections of regular pentagons, and introduced the concept of the equidissection spectrum of a polygon. She was also the author of an algebra textbook, Making Sense of Elementary Algebra: Data, Equations, and Graphs, with Cindy L. Erickson, Addison-Wesley, 1999. Recognition Kasimitis was one of the 2021 winners of the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics of the Mathematical Association of America. The award cited her "major role in developing the first program in California to integrate mathematics content with teacher preparation", her mentorship of student teachers, her development of the middle-school Access to Algebra program and the College Preparatory Mathematics program, both used nationally, and her volunteer work developing mathematics education in Rwanda. References 20th-century American mathematicians 21st-century American mathematicians American women mathematicians University of California, Davis alumni California State University, Sacramento faculty 20th-century American women 21st-century American women
https://en.wikipedia.org/wiki/Georgios%20Kanellopoulos	Georgios Kanellopoulos (; born 29 January 2000) is a Greek professional footballer who plays as a midfielder for Veikkausliiga club HJK. Career statistics Honours Club HJK Veikkausliiga: 2023 Finnish League Cup: 2023 References 2000 births Living people Greek men's footballers Super League Greece players Asteras Tripolis F.C. players Men's association football midfielders Sportspeople from Sparta, Peloponnese Footballers from the Peloponnese
https://en.wikipedia.org/wiki/Terry%20Millar	Terrence Staples (Terry) Millar (September 18, 1948 – March 9, 2019) was professor emeritus of mathematics and former associate dean for physical sciences in the Graduate School and assistant to the provost at the University of Wisconsin–Madison. He joined the math faculty in 1976 after serving two years in the Marines and obtaining a Ph.D. from Cornell University. Millar retired in 2015 and was considered to be one of the world's foremost researchers in computable model theory. Biography He earned a bachelor’s degree in mathematics from Cornell University in 1970 and his Ph.D. in Mathematics from Cornell University in 1975. Millar died March 9, 2019, at the age of 70 due to pancreatic cancer. Career Along with physics professors Sau Lan Wu and Wesley Smith (academic), he “was central to Wisconsin’s contribution to development of the Large Hadron Collider.” Working alongside Francis Halzen, he was “integral in launching the IceCube South Pole Neutrino Observatory.” References 1948 births 2019 deaths 20th-century American mathematicians Cornell University alumni 21st-century American mathematicians Mathematicians from Wisconsin Deaths from pancreatic cancer Deaths from cancer in Wisconsin University of Wisconsin–Madison faculty
https://en.wikipedia.org/wiki/Euler%20operator%20%28digital%20geometry%29	In solid modeling and computer-aided design, the Euler operators modify the graph of connections to add or remove details of a mesh while preserving its topology. They are named by Baumgart after the Euler–Poincaré characteristic. He chose a set of operators sufficient to create useful meshes, some lose information and so are not invertible. The boundary representation for a solid object, its surface, is a polygon mesh of vertices, edges and faces. Its topology is captured by the graph of the connections between faces. A given mesh may actually contain multiple unconnected shells (or bodies); each body may be partitioned into multiple connected components each defined by their edge loop boundary. To represent a hollow object, the inside and outside surfaces are separate shells. Let the number of vertices be V, edges be E, faces be F, components H, shells S, and let the genus be G (S and G correspond to the b0 and b2 Betti numbers respectively). Then, to denote a meaningful geometric object, the mesh must satisfy the generalized Euler–Poincaré formula V – E + F = H + 2 * (S – G) The Euler operators preserve this characteristic. The Eastman paper lists the following basic operators, and their effects on the various terms: Geometry Euler operators modify the mesh's graph creating or removing faces, edges and vertices according to simple rules while preserving the overall topology thus maintaining a valid boundary (i.e. not introducing holes). The operators themselves don't define how geometric or graphical attributes map to the new graph: e.g. position, gradient, uv texture coordinate, these will depend on the particular implementation. See also Boundary representation Lecture 31 of AML710 Computer Aided Design – Dr S. Hegde of Indian Institute of Technology Delhi References (see also Winged edge#External links) Eastman, Charles M. and Weiler, Kevin J., "Geometric modeling using the Euler operators" (1979). Computer Science Department. Paper 1587. http://repository.cmu.edu/compsci/1587. Unfortunately this typo-ridden (OCR’d?) paper can be quite hard to read. Easier-to-read reference, from a solid-modelling course at NTU. Another reference that uses a slightly different definition of terms. Sven Havemann, Generative Mesh Modeling, PhD thesis, Braunschweig University, Germany, 2005. Martti Mäntylä, An Introduction to Solid Modeling, Computer Science Press, Rockville MD, 1988. . 3D computer graphics Digital geometry
https://en.wikipedia.org/wiki/Alessandra%20Smerilli	Alessandra Smerilli, F.M.A. (born on 14 November 1974) is an Italian economist, academic, and Catholic religious sister. She has a post-PhD (it. docente) degree in political economy and statistics, obtained from the Pontifical Faculty of Educational Sciences Auxilium. Early life Alessandra Smerilli was born on 14 November 1974 in Vasto, Italy. Academic career and public and religious service In July 1993, Alessandra graduated from the Raffaele Mattioli Scientific High School in her native town, Vasto and later began her studies in economics. Four years later, in 1997, she has entered the congregation of the Daughters of Mary Help of Christians and at the request of her superior, she continued her studies in economics. Allesandra continued her studies at the Faculty of Economics of the Roma Tre University and in July 2001, graduated from economics and commerce with specialization in political economy with full marks, honours and the right to publish the thesis. In June 2006, she obtained a doctorate degree in political economy at the University of Rome "La Sapienza", and on 21 June 2014, received a PhD degree in economics from the School of Economics of the University of East Anglia in Norwich, UK. Sister Alessandra Smerilli works at the Pontifical Faculty of Educational Sciences Auxilium as an extraordinary professor of political economy and statistics, and also as a member of the University's board of directors. She also teaches economics, ethics and finance at the Faculty of Philosophy of the Salesian Pontifical University and in the master's program in civil and non-profit economics at the University of Milan-Bicocca. Since 2008, she is a member of the Scientific and Organizational committees of the Social Weeks of Italian Catholics, and since 2013 the Secretary of this initiative. Additionally, she is a member of the Ethics Committees of the CHARIS consortium and also of the Banca Popolare Etica, and a founding member of the School of Civil Economics. In 2018, she was an auditor at the 15th ordinary general assembly of the Synod of Bishops which took place in Vatican City from 3 to 28 October 2018 on the theme "Young people, faith and vocational discernment". On 17 April 2019, Pope Francis appointed her as a councilor of the Vatican City State. Soon after that, on 24 May 2019, the same pontiff also appointed her consultant to the general secretariat of the Synod of Bishops. Since Spring 2020, she has coordinated the Economic Task Force of the Vatican COVID-19 Commission, an institution created by Pope Francis to express the Church's concern in the face of the COVID-19 pandemic and to propose answers to the socio-economic challenges of the future. Sister Alessandra Smerilli is also a member of the Women for a New Renaissance a task force set up by the Minister for Equal Opportunities and the family of the Italian politician Elena Bonetti. In May 2020 – with the reception in early 2021 – she was awarded the Order of the Star of It
https://en.wikipedia.org/wiki/Malta%20Mathematical%20Society	The Malta Mathematical Society (MMS) is a mathematical society based in Malta, whose aim is to increase the awareness and popularity of mathematics among the Maltese populace. It organises lectures and various events open to the general public. History The First Malta Mathematical Society A society of the same name was established in 1998 by Prof. Joseph Muscat at the Department of Mathematics of the University of Malta. The first activity organised was a talk delivered by Ms Cettina Gauci Pulo, at the time an assistant lecturer at the University of Malta Junior College, and was entitled "Discovering Fractals". Its first general meeting was held on January 5, 1999, and its first executive committee was composed of the following members: Prof. Joseph Muscat (President), Audrienne Cutajar Bezzina, Cettina Gauci Pulo, Dr. James L. Borg and Jill Kirkstadt. The society was responsible for the foundation of the Malta Mathematics Olympiad, which nowadays is in its 11th edition and is independent from the society. In 2006, Anthony Licari gave a talk organized by the society titled "A mathematical analysis of literature". Reinstatement of the Society After around a decade of inactivity, Luke Collins happened to learn about the society from an archived version of the mathematics department's website, and became interested in getting it started again. He approached Prof. Joseph Muscat (founder of the first society), together with fellow students Jake Xuereb and Xandru Mifsud, and together they started organising events for the general public. During the COVID-19 pandemic, the Society grew a significant online following, since most of its events were held over videoconferencing. One of the most popular events during this time was a debate titled "Is Mathematics invented, or discovered?". In summer 2021, a short introductory course on differential geometry was held, among other leisurely activities such as a pub quiz. In November 2021, a debate titled "Debate: Is Mathematics an Art or a Science?" was organised with guest panellists from different Faculties of the University of Malta. This was the last event held before the first Annual General Meeting (AGM). Membership Membership is open to anyone who is interested in mathematics. Members receive discounts when attending paid events organised by the Society, access to exclusive events, as well as the right to vote in meetings of the Society. Peers of the Society are distinguished members who are honoured by the Society for notable academic achievements in a mathematical discipline, being held in high regard by the Society, or for making meaningful or long-standing contributions to the Society. Activities Lectures and Lecture Series Every year, the Society organises several public lectures catering to a variety of audiences. Some lectures are popular mathematics lecturers aimed towards the general public, other lectures are aimed at sixth formers, undergraduate or even graduate students of mathemati
https://en.wikipedia.org/wiki/Jackson%20Kirkconnell	Jackson Kirkconnell (born 30 August 2003) is a Caymanian footballer. Career statistics International References 2003 births Living people Men's association football midfielders Caymanian men's footballers Cayman Islands men's youth international footballers Cayman Islands men's international footballers Caymanian expatriate men's footballers Caymanian expatriate sportspeople in England Expatriate men's footballers in England
https://en.wikipedia.org/wiki/Grant%20Farrell	Grant Farrell (born 29 January 2000) is a United States Virgin Islands international soccer player who plays as a defender. Career statistics International References External links Grant Farrell at the Truett McConnell University 2000 births Living people United States Virgin Islands men's soccer players United States Virgin Islands men's international soccer players Men's association football defenders Truett McConnell Bears men's soccer players
https://en.wikipedia.org/wiki/Sandro%20Cuti%C3%B1o	Sandro Cutiño Castellano (born 3 March 1995) is a Cuban international footballer who plays as a defender for Brazilian side Força e Luz, on loan from Navegantes. Career statistics Club Notes International References 1995 births Living people Cuban men's footballers Cuban expatriate men's footballers Cuba men's international footballers Men's association football defenders FC Las Tunas players FC Sancti Spíritus players Managua FC players Expatriate men's footballers in Nicaragua Expatriate men's footballers in Brazil People from Las Tunas Province Cuba men's under-20 international footballers
https://en.wikipedia.org/wiki/Nickson%20Kibabage	Nickson Clement Kibabage (born 12 October 2000) is a Tanzanian international footballer. Career statistics International References 2000 births Living people Tanzanian men's footballers Tanzanian expatriate men's footballers Tanzania men's international footballers Men's association football forwards Mtibwa Sugar F.C. players Difaâ Hassani El Jadidi players Expatriate men's footballers in Morocco Tanzanian expatriate sportspeople in Morocco Tanzanian Premier League players Place of birth missing (living people)
https://en.wikipedia.org/wiki/Takuto%20Minami	is a Japanese footballer currently playing as a winger or a right back for Iwate Grulla Morioka, on loan from Yokohama F. Marinos. Career statistics Club . Notes References External links 2002 births Living people Japanese men's footballers Men's association football midfielders Yokohama F. Marinos players Iwate Grulla Morioka players
https://en.wikipedia.org/wiki/Yu%20Funabashi	is a Japanese professional footballer who plays as a defensive midfielder for club Kashima Antlers. Career statistics Club . References External links 2002 births Living people Association football people from Ibaraki Prefecture Japanese men's footballers Men's association football midfielders J1 League players Kashima Antlers players
https://en.wikipedia.org/wiki/Ryoga%20Sato	is a Japanese professional footballer who plays as a forward for club Avispa Fukuoka. Career statistics Club . Notes References External links Profile at Avispa Fukuoka 1999 births Living people Meiji University alumni Japanese men's footballers Men's association football forwards Tokyo Verdy players Avispa Fukuoka players J1 League players J2 League players
https://en.wikipedia.org/wiki/Fabi%C3%A1n%20Gonz%C3%A1lez%20%28footballer%29	Fabián Andrés González Lasso (born 23 November 1992) is a Colombian footballer who currently plays as a forward for Júbilo Iwata. Career statistics Club Notes References External links Profile at Júbilo Iwata 1992 births Living people Colombian men's footballers Colombian expatriate men's footballers Men's association football forwards Categoría Primera A players Peruvian Segunda División players Peruvian Primera División players Deportivo Pasto footballers La Equidad footballers Sport Áncash footballers Ayacucho FC footballers Academia Deportiva Cantolao players Millonarios F.C. players Atlético Nacional footballers Júbilo Iwata players Colombian expatriate sportspeople in Peru Expatriate men's footballers in Peru Colombian expatriate sportspeople in Japan Expatriate men's footballers in Japan Footballers from Cauca Department
https://en.wikipedia.org/wiki/Hijiri%20Kato	is a Japanese footballer who plays as a left-back for Yokohama F. Marinos. Career statistics . Notes References External links 2001 births Living people Japanese men's footballers Japan men's youth international footballers Men's association football defenders J2 League players V-Varen Nagasaki players
https://en.wikipedia.org/wiki/1983%E2%80%9384%20Rochdale%20A.F.C.%20season	The 1983–84 season saw Rochdale compete in their 10th consecutive season in the Football League Fourth Division. Statistics \|} Final League Table Competitions Football League Fourth Division F.A. Cup League Cup (Milk Cup) Associate Members' Cup Lancashire Cup References Rochdale A.F.C. seasons Rochdale
https://en.wikipedia.org/wiki/Naoki%20Hayashi	is a Japanese professional footballer who plays as a centre back for club Tokyo Verdy, on loan from Kashima Antlers. Career statistics Club . References External links Profile at Kashima Antlers 1998 births Living people Association football people from Osaka Prefecture Osaka University of Health and Sport Sciences alumni Japanese men's footballers Men's association football defenders J1 League players J2 League players Kashima Antlers players Tokyo Verdy players
https://en.wikipedia.org/wiki/Gertrude%20Ehrlich	Gertrude Ehrlich (born January 7, 1923) is an Austrian-American mathematician, specializing in abstract algebra and algebraic number theory. She is a professor emerita of mathematics at the University of Maryland, College Park. Early life and education Ehrlich was born on January 7, 1923, in Vienna, the daughter of Jewish lawyer Josef Ehrlich and his wife Charlotte, née Kobak. In the late 1930s, she became a student at the Chajes Gymnasium, a special high school in Vienna for Jewish honor students; her classmates included future Nobel laureate Walter Kohn and mathematicians Rodolfo Permutti and Karl Greger. She was able to escape Nazi-occupied Austria in 1939, traveling with her mother, her older sister Margarete Ehrlich (a philosophy student and later radiographer) and aunt Mathilde Ehrlich (a painter) to the US on the SS Statendam in July 1939; her father rejoined them a year later. They lived for the next several years with her uncle Benedict Kobak in Atlanta. She became a US citizen in 1945. She graduated from the Georgia State College for Women in 1943, and earned a master's degree from the University of North Carolina in 1945. She completed her Ph.D. in 1953 at the University of Tennessee. Her dissertation, The Structure of Continuous Rings, was supervised by Wallace Givens. Contributions Ehrlich is the author of the book Fundamental Concepts of Abstract Algebra (PWS-Kent Publishing, 1991; Dover, 2011). She is the coauthor of The Structure of the Real Number System (with Leon Warren Cohen, D. Van Nostrand, 1963) and of Algebra (with Jacob Goldhaber, Macmillan, 1970; Robert E. Krieger Publishing, 1980). In 1964 she became editor of the "Classroom Notes" department of The American Mathematical Monthly. She was the first organizer of the University of Maryland High School Mathematics Competition, held annually for high school students in Maryland and the District of Columbia, starting in 1979. The concept of a morphic group comes from a 1976 research paper of Ehrlich, "Units and one-sided units in regular rings", in the Transactions of the American Mathematical Society, and Ehrlich's theorem on the endomorphisms of morphic groups, from the same paper, is named for her. References 1923 births Living people Jewish emigrants from Austria after the Anschluss to the United States 20th-century American mathematicians 21st-century American mathematicians American women mathematicians Austrian mathematicians Austrian women scientists Georgia College & State University alumni University of North Carolina alumni University of Tennessee alumni University of Maryland, College Park faculty 20th-century American women 21st-century American women American centenarians Women centenarians
https://en.wikipedia.org/wiki/Shuri%20Koyama	is a Japanese footballer currently playing as a defender for Gainare Tottori. Career statistics Club . Notes References 1999 births Living people Tokyo University of Agriculture alumni Japanese men's footballers Men's association football defenders J3 League players Gainare Tottori players
https://en.wikipedia.org/wiki/Kazuki%20Saito%20%28footballer%2C%20born%201996%29	is a Japanese footballer currently playing as a goalkeeper for Kataller Toyama. Career statistics Club . Notes References External links 1996 births Living people Osaka Gakuin University alumni Japanese men's footballers Men's association football goalkeepers J3 League players Cerezo Osaka players Cerezo Osaka U-23 players Kataller Toyama players
https://en.wikipedia.org/wiki/Kaito%20Omomo	is a Japanese footballer currently playing as a defender for Nagano Parceiro. Career statistics Club . Notes References External links 1997 births Living people Waseda University alumni Japanese men's footballers Men's association football defenders J3 League players AC Nagano Parceiro players
https://en.wikipedia.org/wiki/Tomoya%20Ando	is a Japanese footballer currently playing as a defender for Oita Trinita. Career statistics Club . Notes References 1999 births Living people People from Toyota, Aichi Association football people from Aichi Prefecture Aichi Gakuin University alumni Japanese men's footballers Japan men's youth international footballers Men's association football defenders J3 League players FC Imabari players
https://en.wikipedia.org/wiki/Robert%20Zink	Robert Edwin Zink (died July 30, 2020 West Lafayette, Indiana) was Professor emeritus of Mathematics at Purdue University. Biography Zink is a native of Minneapolis. He attended Lake Harriet Elementary School and earned his B. A., M.A., and Ph. D. degrees from the University of Minnesota. His Ph.D. was awarded in 1953. He was supervised by Bernard Russell Gelbaum and his dissertation was entitled Direct Unions of Measure Spaces. He ran unsuccessfully for an at-large seat on the West Lafayette City Council in 1971. Career Zink joined the Purdue faculty in 1953. Other than a year in the military and sabbatical years at Wabash College (1961-62) and the University of California, Irvine (1968-69), Zink spent his entire career at Purdue. He published 32 articles in refereed journals, supervised six doctoral students and earned the Murphy Excellence in Undergraduate Teaching award in 1995 and the Frederick L. Hovde Outstanding Faculty Fellow Award in 1985. Zink retired in 1998 but continued teaching for seven years without pay (one mathematics course and one in aviation technology). Publications On the structure of measure spaces Darst, Richard B., and Robert E. Zink. “A NOTE ON THE DEFINITION OF AN ORLICZ SPACE.” Real Analysis Exchange, vol. 21, no. 1, 1995, pp. 356–362. JSTOR, www.jstor.org/stable/44153928. Accessed 28 Mar. 2021. References People from Minneapolis American mathematicians University of Minnesota College of Liberal Arts alumni Purdue University faculty American non-fiction writers 2020 deaths
https://en.wikipedia.org/wiki/Kei%20Shibata	is a Japanese former footballer and current manager Japan Football League club of ReinMeer Aomori Career statistics Club Notes Managerial statistics References External links 1965 births Living people People from Nerima Sportspeople from Tokyo Metropolis Association football people from Tokyo Metropolis Japanese men's footballers Tokyo Gakugei University alumni Japan Football League players Yokohama Flügels players FC Tokyo players J2 League managers Matsumoto Yamaga FC managers Japanese football managers Men's association football defenders
https://en.wikipedia.org/wiki/Shigenari%20Izumi	is a Japanese former footballer and former manager of Ehime FC. Managerial statistics References External links 1969 births Living people Sportspeople from Ehime Prefecture Association football people from Ehime Prefecture Japanese men's footballers Sanfrecce Hiroshima players Ehime FC players J2 League managers Ehime FC managers Japanese football managers Men's association football defenders
https://en.wikipedia.org/wiki/Nobuyuki%20Uenoyama	is a Japanese former footballer and current manager of Kamatamare Sanuki. His son, Jin Uenoyama, played for FC Osaka before retiring at the end of 2020. Managerial statistics References 1957 births Living people Association football people from Osaka Prefecture Japanese men's footballers Japan Soccer League players Cerezo Osaka players J3 League managers Kamatamare Sanuki managers Japanese football managers Men's association football defenders
https://en.wikipedia.org/wiki/2019%E2%80%9320%20Kuwaiti%20Premier%20League	58th edition of the tournament. Kuwait SC are the defending champions. Teams League table Statistics Top scorers Best player in the season Ahmed Al-Dhefiri References External links Kuwait League Fixtures and Results at FIFA Kuwaiti League Kuwait Premier League seasons Premier League Kuwaiti Premier League
https://en.wikipedia.org/wiki/Jane%20Kister	Jane Elizabeth Kister (born and also published as Jane Bridge, 18 October 1944 – 1 December 2019) was a British and American mathematical logician and mathematics editor who served for many years as an editor of Mathematical Reviews. Early life and education Jane Bridge was originally from Weybridge, England, where she was born on 18 October 1944; her father was a lawyer and later a judge. Her family moved to London when she was four, and she studied at St Paul's Girls' School in London. She matriculated at Somerville College, Oxford in 1963, but her studies were interrupted by a diagnosis of lupus; she resumed reading mathematics there in 1964, tutored by Anne Cobbe. She earned a first, won a Junior Mathematical Prize, and continued at Oxford for graduate study. She was given the Mary Somerville Research Fellowship in 1969, and completed her doctorate (D.Phil.) at Oxford in 1972. Her dissertation, Some Problems in Mathematical Logic: Systems of Ordinal Functions and Ordinal Notations, was supervised by Robin Gandy. She then became a tutorial fellow in mathematics at Somerville College, taking Anne Cobbe's position after Cobbe's retirement, and a member of the Mathematical Institute, University of Oxford, working among others there with Dana Scott. Marriage and later life In 1977, mathematician James Kister from the University of Michigan visited Oxford on sabbatical; they married in 1978 and she returned with him to the US, giving up her position at Oxford and in 1992 taking US citizenship. She obtained a visiting professorship at the Massachusetts Institute of Technology, and then in 1979 began working at Mathematical Reviews, where she would remain for the rest of her career. She became associate executive editor in 1984, and executive editor in 1998, the first woman to hold that position. When Mathematical Reviews shifted from being a paper review journal to an online electronic database, MathSciNet, in 1996, Kister was heavily involved in this advance. She also held an adjunct professorship at the University of Michigan. She retired in 2004, and died of a heart attack on 1 December 2019. Books As Jane Bridge, she was the author of the book Beginning Model Theory: The Completeness Theorem and Some Consequences (Clarendon Press, 1977), the first volume in the Oxford Logic Guides book series. She also co-edited the Ω-Bibliography of Mathematical Logic, Volume VI: Proof Theory, Constructive Mathematics (Perspectives in Mathematical Logic, Springer, 1987). References 1944 births 2019 deaths 20th-century American mathematicians 21st-century American mathematicians American women mathematicians British mathematicians British women mathematicians Mathematical logicians Women logicians Alumni of Somerville College, Oxford Fellows of Somerville College, Oxford 20th-century American women 21st-century American women
https://en.wikipedia.org/wiki/Boxing%20barcode	Boxing is high-capacity 2D barcode. The flexible barcode format is fully customizable in terms of frame geometry, number of symbols per pixel and forward-error-correction (FEC) method. This makes it a suitable choice for storing large amounts of any kind of digital data on storage mediums such paper, photographic film or similar. Applications Boxing barcode is used on piqlFilm by Piql AS to store many infos in Arctic World Archive: the Vatican Library the photographic collection GitHub and other Format The Boxing barcode used in the piqlFilm consists 4096 rows and 2160 cols. Each frame has: border four corner marks external bars (reference, calibration, structural metadata, human-readable) data container sync points References External links Archival File Systems (AFS) Piql film-reader App Barcodes
https://en.wikipedia.org/wiki/Dmitry%20Saltsman	Dmitry Georgievich Saltsman (; born on 1 November 1974) is a retired Tajikistani footballer. Career statistics Club International Statistics accurate as of match played 1 December 1998 International goals Scores and results list Tajikistan's goal tally first. References External links 1974 births Living people Tajikistani men's footballers Tajikistan men's international footballers Footballers at the 1998 Asian Games Men's association football midfielders Asian Games competitors for Tajikistan Soviet men's footballers FC Khatlon players FC Zenit-2 Saint Petersburg players FC Dynamo Saint Petersburg players Tajikistani expatriate men's footballers Expatriate men's footballers in Russia FC Cherepovets players
https://en.wikipedia.org/wiki/Cameron%20Gray%20%28footballer%29	Cameron Gray (born 22 October 1998) is a Caymanian footballer. Career statistics International References 1998 births Living people Men's association football defenders Caymanian men's footballers Cayman Islands men's youth international footballers Cayman Islands men's international footballers Caymanian expatriate men's footballers Reading F.C. players Flackwell Heath F.C. players Caymanian expatriate sportspeople in England Expatriate men's footballers in England
https://en.wikipedia.org/wiki/D%27Andre%20Rowe	D'Andre Rowe (born 5 January 2001) is a Caymanian footballer who plays as a defensive midfielder. Career statistics References 2001 births Living people Caymanian men's footballers Men's association football midfielders Cayman Islands men's youth international footballers Cayman Islands men's international footballers Cayman Islands men's under-20 international footballers
https://en.wikipedia.org/wiki/Jack%20McKnight	Jack McKnight (born 10 June 1994) is a Turks and Caicos Islands footballer. Born in Hong Kong, he represents the Turks and Caicos Islands internationally. Career statistics International References 1994 births Living people Men's association football forwards Turks and Caicos Islands men's footballers Turks and Caicos Islands expatriate men's footballers Turks and Caicos Islands men's international footballers Expatriate men's association footballers in the Republic of Ireland AFC Academy players
https://en.wikipedia.org/wiki/Aoto%20Osako	is a Japanese footballer currently playing as a defender for FC Tokyo. International career In March 2021, Osako was called up to the Japan under-18 squad for the first time. Career statistics Club . Notes References External links 2003 births Living people Japanese men's footballers Japan men's youth international footballers Men's association football defenders J3 League players FC Tokyo players FC Tokyo U-23 players
https://en.wikipedia.org/wiki/Sho%20Morita	is a Japanese footballer who plays as a defender. International career Morita has represented Japan at under-15 and under-16 level. Career statistics Club . Notes References External links 2003 births Living people Association football people from Niigata Prefecture Japanese men's footballers Japan men's youth international footballers Men's association football defenders J3 League players Albirex Niigata players FC Tokyo players FC Tokyo U-23 players
https://en.wikipedia.org/wiki/Keita%20Ishido	is a Japanese footballer currently playing as a left-back for Boso Rovers Kisarazu. Personal life Ishido's brother, Kazuto Ishido, is a retired footballer. Career statistics Club . Notes References External links 1992 births Living people Association football people from Saitama Prefecture Toin University of Yokohama alumni Japanese men's footballers Men's association football defenders Japan Football League players J3 League players FC Kariya players Tochigi City FC players Fukushima United FC players
https://en.wikipedia.org/wiki/Kio%20Yamada	is a Japanese footballer who last played for YSCC Yokohama. Career statistics Club . Notes References External links 2000 births Living people Association football people from Chiba Prefecture Japanese men's footballers Japanese expatriate men's footballers Men's association football forwards J3 League players Kashiwa Reysol players Bayer 04 Leverkusen players YSCC Yokohama players Japanese expatriate sportspeople in Germany Expatriate men's footballers in Germany
https://en.wikipedia.org/wiki/Takuma%20Nakajima	is a Japanese footballer who currently plays as a defender for Honda Lock. Career statistics Club . Notes References External links 1995 births Living people Sportspeople from Tochigi Prefecture Association football people from Tochigi Prefecture Tokyo University of Agriculture alumni Japanese men's footballers Men's association football defenders J3 League players Japan Football League players Tochigi SC players Azul Claro Numazu players Minebea Mitsumi FC players 21st-century Japanese people

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