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https://en.wikipedia.org/wiki/Shuhei%20Mitsuhashi
is a Japanese football player. He plays for Phnom Penh Crown FC. Career Shuhei Mitsuhashi joined J3 League club Fukushima United FC in 2017. Club statistics Updated to 22 February 2018. References External links Profile at Fukushima United FC 1994 births Living people Kanto Gakuin University alumni Association football people from Kanagawa Prefecture Japanese men's footballers J3 League players Fukushima United FC players Men's association football midfielders Expatriate men's footballers in Cambodia Japanese expatriate sportspeople in Cambodia
https://en.wikipedia.org/wiki/Yuki%20Hashimoto%20%28footballer%29
is a Japanese football player. He plays for ReinMeer Aomori on loan from Fukushima United FC. Career Yuki Hashimoto joined J3 League club Fukushima United FC in 2017. Club statistics Updated to 26 August 2018. References External links Profile at Fukushima United FC 1994 births Living people Chukyo University alumni Association football people from Kanagawa Prefecture Japanese men's footballers J3 League players Japan Football League players Fukushima United FC players ReinMeer Aomori players Men's association football midfielders
https://en.wikipedia.org/wiki/Seiji%20Kawakami
is a Japanese footballer who plays for Wollongong United FC. Career Seiji Kawakami joined J3 League club Fukushima United FC in 2017. Club statistics Updated to 22 February 2018. References External links Profile at Tochigi SC Profile at Fujieda MYFC 1995 births Living people Sendai University alumni Association football people from Tochigi Prefecture Japanese men's footballers Japanese expatriate men's footballers J3 League players Fukushima United FC players Tochigi SC players Fujieda MYFC players SC Sagamihara players Men's association football midfielders Japanese expatriate sportspeople in Australia Expatriate men's soccer players in Australia Wollongong United FC players
https://en.wikipedia.org/wiki/Kyosuke%20Goto
is a Japanese football player. Career From 2015, Kyosuke Goto played Montenegrin First League club Mogren and Iskra Danilovgrad. In 2017 he moved to J3 League club YSCC Yokohama. Club statistics Updated to 22 February 2018. References External links Profile at YSCC Yokohama 1992 births Living people Senshu University alumni Association football people from Tokyo Japanese men's footballers Japanese expatriate men's footballers Montenegrin First League players J2 League players J3 League players FK Mogren players FK Iskra Danilovgrad players YSCC Yokohama players Ventforet Kofu players Thespakusatsu Gunma players Iwate Grulla Morioka players Men's association football midfielders Japanese expatriate sportspeople in Montenegro Expatriate men's footballers in Montenegro
https://en.wikipedia.org/wiki/Yusuke%20Nishiyama%20%28footballer%29
is a Japanese football player. He plays for YSCC Yokohama. Career Yusuke Nishiyama joined J3 League club YSCC Yokohama in 2017. Club statistics Updated to 13 August 2018. References External links 1994 births Living people Yamanashi Gakuin University alumni Association football people from Tokyo Japanese men's footballers J3 League players YSCC Yokohama players Gainare Tottori players Men's association football defenders
https://en.wikipedia.org/wiki/Hayata%20Komatsu
is a Japanese football player. He plays for Montedio Yamagata. Career Hayata Komatsu joined J3 League club YSCC Yokohama in 2017. Club statistics Updated to 2 January 2020. References External links Profile at FC Ryukyu 1997 births Living people Juntendo University alumni Association football people from Tokyo Japanese men's footballers J2 League players J3 League players YSCC Yokohama players FC Ryukyu players Montedio Yamagata players Men's association football midfielders
https://en.wikipedia.org/wiki/Yudai%20Tokunaga
is a Japanese football player. He plays for Tegevajaro Miyazaki. Career Yudai Tokunaga joined J3 League club SC Sagamihara in 2017. Club statistics Updated to 1 January 2020. References External links 1994 births Living people Kwansei Gakuin University alumni Association football people from Hyōgo Prefecture Japanese men's footballers J3 League players Japan Football League players SC Sagamihara players Tegevajaro Miyazaki players Men's association football midfielders Sportspeople from Nishinomiya
https://en.wikipedia.org/wiki/Yu%20Yonehara
is a Japanese football player. He plays for Criacao Shinjuku. Career Yu Yonehara joined J3 League club Criacao Shinjuku in 2020. Club statistics Updated to 22 February 2018. References External links 1994 births Living people Kwansei Gakuin University alumni Association football people from Hyōgo Prefecture Japanese men's footballers J3 League players SC Sagamihara players Men's association football defenders
https://en.wikipedia.org/wiki/Daiki%20Kawato
is a Japanese football player. He plays for Tokyo United FC. Career Daiki Kawato joined J3 League club SC Sagamihara in 2017. Club statistics Updated to 22 February 2020. References External links 1994 births Living people Nippon Sport Science University alumni Association football people from Hyōgo Prefecture Japanese men's footballers J3 League players SC Sagamihara players Tokyo United FC players Men's association football midfielders
https://en.wikipedia.org/wiki/Genichi%20Endo
is a Japanese football player. He plays for AC Nagano Parceiro. Career Genichi Endo joined J3 League club AC Nagano Parceiro in 2017. Club statistics Updated to 22 February 2019. References External links 1994 births Living people Sanno Institute of Management alumni Association football people from Hokkaido Japanese men's footballers J3 League players AC Nagano Parceiro players Men's association football defenders
https://en.wikipedia.org/wiki/Hirohito%20Shinohara
is a Japanese football player for Verspah Oita. Career Hirohito Shinohara joined J2 League club Renofa Yamaguchi FC in 2016. In 2017, he moved to J3 League club Fujieda MYFC. Club statistics Updated to 23 February 2018. References External links 1993 births Living people Kansai University alumni Association football people from Ibaraki Prefecture Japanese men's footballers J2 League players J3 League players Japan Football League players Renofa Yamaguchi FC players Fujieda MYFC players Verspah Oita players Men's association football midfielders
https://en.wikipedia.org/wiki/Tomoki%20Fujisaki
is a Japanese football player. He plays for Azul Claro Numazu. Career Tomoki Fujisaki joined J3 League club Azul Claro Numazu in 2017. Club statistics Updated to 22 February 2018. References External links Profile at Azul Claro Numazu 1994 births Living people Kokushikan University alumni Association football people from Chiba Prefecture Japanese men's footballers J3 League players Azul Claro Numazu players Men's association football defenders
https://en.wikipedia.org/wiki/Takuya%20Fujiwara
is a Japanese football player. He plays for Azul Claro Numazu. Career Takuya Fujiwara joined Japan Football League club Azul Claro Numazu in 2015. Club statistics Updated to 20 February 2017. References External links Profile at Azul Claro Numazu 1992 births Living people Kanagawa University alumni Association football people from Tokushima Prefecture Japanese men's footballers J3 League players Japan Football League players Azul Claro Numazu players Men's association football defenders
https://en.wikipedia.org/wiki/Tomoyuki%20Shiraishi
is a Japanese football player. He plays for Thespakusatsu Gunma. Career Tomoyuki Shiraishi joined Japan Football League club Azul Claro Numazu in 2016. Club statistics Updated to 22 February 2018. References External links Profile at Grulla Morioka 1993 births Living people Hosei University alumni Association football people from Gunma Prefecture Japanese men's footballers Japan Football League players J2 League players J3 League players Azul Claro Numazu players Iwate Grulla Morioka players Kataller Toyama players Thespakusatsu Gunma players Men's association football midfielders
https://en.wikipedia.org/wiki/Junya%20Kato
is a Japanese football player who currently plays for Zweigen Kanazawa. Career Junya Kato joined J3 League club Gainare Tottori in 2017. Club statistics Updated to 22 March 2018. References External links Profile at Gainare Tottori 1994 births Living people Josai International University alumni Association football people from Hiroshima Prefecture Japanese men's footballers J2 League players J3 League players Gainare Tottori players Thespakusatsu Gunma players Men's association football forwards
https://en.wikipedia.org/wiki/Junya%20Nodake
is a Japanese football player. He plays for Oita Trinita. Career Junya Nodake joined J3 League club Kagoshima United FC in 2017. Club statistics Updated to 22 February 2018. References External links Profile at Kagoshima United FC 1994 births Living people Fukuoka University alumni Association football people from Kagoshima Prefecture Japanese men's footballers J1 League players J2 League players J3 League players Kagoshima United FC players Oita Trinita players Men's association football forwards Sportspeople from Kagoshima
https://en.wikipedia.org/wiki/Taishi%20Nishioka
is a Japanese football player. He plays for Ehime FC. Career Taishi Nishioka joined J3 League club FC Ryukyu in 2017. Club statistics Updated to 22 February 2018. References External links Profile at FC Ryukyu 1994 births Living people Fukuoka University alumni Association football people from Miyazaki Prefecture Japanese men's footballers J3 League players J2 League players FC Ryukyu players Ehime FC players Men's association football defenders
https://en.wikipedia.org/wiki/Keisuke%20Tsumita
is a Japanese football player. He plays for FC Ryukyu. Career Keisuke Tsumita joined J3 League club FC Ryukyu in 2016. Club statistics Updated to 22 February 2018. References External links Profile at FC Ryukyu 1993 births Living people Komazawa University alumni Association football people from Chiba Prefecture Japanese men's footballers J3 League players FC Ryukyu players Men's association football goalkeepers
https://en.wikipedia.org/wiki/Mikihito%20Arai
is a Japanese football player. Career Mikihito Arai joined J3 League club FC Ryukyu in 2017. He left the club at the end of 2018, where his contract got terminated. Club statistics Updated to 22 February 2018. References External links Profile at FC Ryukyu 1994 births Living people Hannan University alumni Association football people from Saitama Prefecture Japanese men's footballers J3 League players FC Ryukyu players Men's association football defenders
https://en.wikipedia.org/wiki/Yukihide%20Gibo
is a Japanese football player. He plays for Okinawa SV. Career Yukihide Gibo joined J3 League club FC Ryukyu in 2017. Club statistics Updated to 1 January 2020. References External links 1996 births Living people Okinawa International University alumni Association football people from Okinawa Prefecture Japanese men's footballers J3 League players Japan Football League players FC Ryukyu players Tegevajaro Miyazaki players Men's association football forwards
https://en.wikipedia.org/wiki/Yuto%20Maeda
is a Japanese football player. He plays for FC Osaka. Career Yuto Maeda joined J3 League club AC Nagano Parceiro in 2017. On June 21, he debuted in Emperor's Cup (v FC Tokyo). Club statistics Updated to 22 February 2019. References External links Profile at Nagano Parceiro 1994 births Living people Kyoto Sangyo University alumni Association football people from Hyōgo Prefecture Japanese men's footballers J3 League players Japan Football League players AC Nagano Parceiro players FC Osaka players Men's association football midfielders
https://en.wikipedia.org/wiki/1963%E2%80%9364%20Sheffield%20Shield%20season
The 1963–64 Sheffield Shield season was the 62nd season of the Sheffield Shield, the domestic first-class cricket competition of Australia. South Australia won the championship. Table Statistics Most Runs Garfield Sobers 973 Most Wickets Garfield Sobers 47 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1964%E2%80%9365%20Sheffield%20Shield%20season
The 1964–65 Sheffield Shield season was the 63rd season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship. Table Statistics Most Runs Sam Trimble 924 Most Wickets Neil Hawke 41 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1965%E2%80%9366%20Sheffield%20Shield%20season
The 1965–66 Sheffield Shield season was the 64th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship. Table Statistics Most Runs Grahame Thomas 837 Most Wickets Tony Lock 41 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1966%E2%80%9367%20Sheffield%20Shield%20season
The 1966–67 Sheffield Shield season was the 65th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship. Table Statistics Most Runs Les Favell 785 Most Wickets Tony Lock 51 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1968%E2%80%9369%20Sheffield%20Shield%20season
The 1968–69 Sheffield Shield season was the 67th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. South Australia won the championship. Table Statistics Most Runs Colin Milburn 811 Most Wickets Tony Lock 46 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1969%E2%80%9370%20Sheffield%20Shield%20season
The 1969–70 Sheffield Shield season was the 68th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship. Table Statistics Most runs Greg Chappell, 856 Most wickets Alan Thomson, 49 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1970%E2%80%9371%20Sheffield%20Shield%20season
The 1970–71 Sheffield Shield season was the 69th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. South Australia won the championship. Table Statistics Most Runs Barry Richards 1101 Most Wickets Ross Duncan 34 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1973%E2%80%9374%20Sheffield%20Shield%20season
The 1973–74 Sheffield Shield season was the 72nd season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship. Table Statistics Most Runs Greg Chappell 1013 Most Wickets Geoff Dymock 39 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1976%E2%80%9377%20Sheffield%20Shield%20season
The 1976–77 Sheffield Shield season was the 75th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Western Australia won the championship. Table Statistics Most Runs David Hookes 788 Most Wickets Mick Malone 40 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1978%E2%80%9379%20Sheffield%20Shield%20season
The 1978–79 Sheffield Shield season was the 77th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship. Table Statistics Most Runs Andrew Hilditch 778 Most Wickets David Hourn 40 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1979%E2%80%9380%20Sheffield%20Shield%20season
The 1979–80 Sheffield Shield season was the 78th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship. Table Statistics Most Runs Ian Chappell 713 Most Wickets Ashley Mallett 45 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/Mao%20Renfeng
Mao Renfeng (; 5 January 1898 – 11 December 1956) was a Republic of China general and spymaster who headed the Bureau of Investigation and Statistics (BIS, also known as the Counterintelligence Bureau and, after 1955, the Intelligence Bureau) from 1946 until his death, succeeding his childhood friend Dai Li, who died in a plane crash in 1946. Between 1946 and 1949, his spy agency played a prominent role in the Chinese Civil War. In 1949, he fled to Taiwan with the rest of the Nationalist government, where he died 7 years later. Beginning on 25 May 1955, Mao's BIS secret agents, in conjunction with political warfare officers and military police, began arresting and torturing the subordinates of General Sun Li-jen for being pro-American in an alleged coup against Chiang Kai-shek's regime, for collaborating with the Central Intelligence Agency to take control of Taiwan, and for declaring Taiwanese independence; by October, more than 300 officers had been arrested and detained by the BIS and the Taiwan Garrison Command on charges of high treason for conspiring with Communist spies to stage a coup. General Sun was also placed under house arrest for 33 years until 20 March 1988, which was one of the cases of political persecution in the history of the White Terror. His son, Robert Yu-Lang Mao, is currently chairman of Hewlett-Packard China. References 1898 births 1956 deaths Taiwanese people from Zhejiang People from Jiangshan Politicians from Quzhou Republic of China politicians from Zhejiang Members of the Kuomintang Spymasters Torturers White Terror (Taiwan)
https://en.wikipedia.org/wiki/Shen%20Zui
Shen Zui (沈醉; 3 June 1914 – 18 March 1996) was a Chinese Kuomintang general and spymaster in the Bureau of Investigation and Statistics who had a prominent role in the Chinese Civil War fighting against the Communists. He was detained by Lu Han who defected to the Communists in 1949 and spent 12 years in prison, before receiving an amnesty along with other ex-Kuomintang generals like Du Yuming, Song Xilian, Wang Yaowu and Chen Changjie. After his release, he authored many memoirs and history books, one of which was translated into English with the title A KMT War Criminal in New China. He died in 1996 in Beijing, China. References 1914 births 1996 deaths People from Xiangtan National Revolutionary Army generals from Hunan Members of the Kuomintang Spymasters
https://en.wikipedia.org/wiki/William%20Metzler
William Henry Metzler (1863–1943) was a Canadian mathematician. Career He was born in Odessa, Canada West on 18 September 1863. He studied mathematics at the University of Toronto under Henry Taber from 1886, graduating in 1888 and then continuing as a postgraduate. He gained his doctorate in 1892. In 1895 he was appointed professor of mathematics at Syracuse University, then became dean of the graduate school. From 1923–1933, he was dean and professor of mathematics at the New York State College of Teachers in Albany, New York. In 1902 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were David Henry Marshall, Robert Wenley, John George Adami, and James Douglas Hamilton Dickson. He died in Syracuse, New York, on 14 April 1943. Publications On the Roots of Matrices (1892) Homogenous Strains (1893) On the Rank of a Matrix (1913) References 1863 births 1943 deaths People from Lennox and Addington County Canadian mathematicians Fellows of the Royal Society of Edinburgh
https://en.wikipedia.org/wiki/Sidney%20Michaelson
Sidney Michaelson FRSE FIMA FSA FBCS (5 December 1925 – 21 February 1991) was Scotland's first professor of Computer Science. He was joint founder of the Institute of Mathematics and its Applications. As an author he is remembered for his analysis of the Bible. Life He was born on 5 December 1925 in the East End of London into a relatively poor family. Academically brilliant he won a scholarship to Imperial College, London. He studied mathematics and graduated in 1946. Subsequently he was co-designer of the Imperial College Computing Engine with Tony Brooker and Ken Tocher. He began lecturing at Imperial College in 1949. In 1963 he moved to the University of Edinburgh as Director of its newly founded Computer Unit, and in 1969 became the first Professor of Computer Science. Notable students included Rosemary Candlin. In 1969 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Nicholas Kemmer, David Finney, Sir Michael Swann and Arthur Erdelyi. He died in Edinburgh on 21 February 1991. Family His wife Kitty died in 1995. They had four children. One of his sons, Greg, is Professor Emeritus, School of Mathematical & Computer Sciences at Heriot Watt University, Edinburgh Recognition In 1991 the University of Edinburgh created the Sidney Michaelson Prize in Computer Science his honour. Michaelson Square in Livingston is named in his memory. Publications K. D. Tocher and S. Michaelson, The Imperial College Computing Engine, in R. V. Bowden (ed), Faster Than Thought, Sir Isaac Pitman & Sons, Ltd, 1953, pp161-164. R. E. D. Bishop, G. M. L. Gladwell and S. Michaelson, The Matrix Analysis of Vibration, Cambridge University Press, 1965. S. Michaelson and A. Q. Morton, Positional Stylometry, in A. J. Aitken, R. W. Bailey and N. Hamilton-Smith, The Computer and Literary Studies, Edinburgh University Press, 1973, pp69-83. S. Michaelson, A. Q. Morton and N. Hamilton-Smith. To Couple is the Custom, CSR-22-78, Internal Report, Department of Computer Science, University of Edinburgh, Revised November 1978. S. Michaelson, A. Q. Morton and N. Hamilton-Smith, Justice for Helander, CSR-42-79, Internal Report, Department of Computer Science, University of Edinburgh, July 1979. A Critical Concordance of I and II Corinthians (1979) A Critical Concordance of the Letter of Paul to the Romans (1977) A. Q. Morton and S. Michaelson, The Qsum Plot, CSR-3-90, Internal Report, Department of Computer Science, University of Edinburgh, April 1990. References 1925 births 1991 deaths Academics of Imperial College London Mathematicians from London Academics of the University of Edinburgh Fellows of the Royal Society of Edinburgh Scottish computer scientists
https://en.wikipedia.org/wiki/Jana%20Novotn%C3%A1%20career%20statistics
This is a list of the main career statistics of former professional tennis player Jana Novotná. Major finals Grand Slam finals Singles: 4 (1 title, 3 runner-ups) Women's doubles: 23 (12 titles, 11 runner-ups) Mixed doubles: 5 (4 titles, 1 runner-up) Olympics Singles: 1 (bronze medal) Women's doubles: 2 (2 silver medals) Year-end championships finals Singles: 1 (title) Doubles: 7 (2 titles, 5 runner-ups) WTA career finals Singles: 40 (24–16) Doubles: 126 (76–50) Performance timelines Singles Doubles Mixed doubles Awards and recognitions 1989: WTA Doubles Team of the Year with Helena Suková 1990: WTA Doubles Team of the Year with Helena Suková 1991: WTA Doubles Team of the Year with Gigi Fernández 1996: WTA Doubles Team of the Year with Arantxa Sánchez Vicario 1997: ITF World Champions (Women's Doubles) with Lindsay Davenport 1998: WTA Doubles Team of the Year with Martina Hingis 2005: International Tennis Hall of Fame WTA Tour career earnings Head-to-head vs. top 10 ranked players Novotná, Jana
https://en.wikipedia.org/wiki/2015%E2%80%9316%20FK%20Dukla%20Prague%20season
The 2015–16 season was Dukla Prague's fifth consecutive season in the Czech First League. Players Squad information Transfers Management and coaching staff Source: Statistics Appearances and goals Starts + Substitute appearances. |} Home attendance The club had the lowest average attendance in the league. Czech First League Results by round Results summary League table Matches Cup As a First League team, Dukla entered the Cup at the second round stage. In the second round, Dukla faced fourth division side Neratovice–Byškovice, winning 4–0 away from home. The third round match against FC MAS Táborsko of the second league was a closer game; goals from Lukáš Štetina and Tomáš Přikryl helped Dukla to a 2–1 away win. In the fourth round, Dukla faced another second league team, being paired with Ústí nad Labem. Dukla won both matches of the two-legged tie by a 3–0 scoreline, going through 6–0 on aggregate. At the quarter-final stage, the home game against fellow First League team FK Jablonec finished goalless. The return leg, two weeks later, saw Jablonec win 2–1 and subsequently progress to the semi-final stage at Dukla's expense. This was the third time Jablonec had ended Dukla's cup run in five years, having previously done so in the 2010–11 and 2011–12 editions of the competition. References Dukla Prague FK Dukla Prague seasons
https://en.wikipedia.org/wiki/Hana%20Mandl%C3%ADkov%C3%A1%20career%20statistics
This is a list of the main career statistics of former professional tennis player Hana Mandlíková. Major finals Grand Slam finals Singles: 8 (4 titles, 4 runners-up) Doubles: 4 (1 title, 3 runners-up) Year-End Championships finals Singles: 1 (1 runner–up) Doubles: 1 (1 title) WTA career finals Singles: 52 (27–25) Doubles: 38 (19–19) Grand Slam performance timelines Singles Doubles Record against other top players Mandlíková's win-loss record against certain players who have been ranked World No. 10 or higher is as follows: Players who have been ranked World No. 1 are in boldface. Bettina Bunge 16–1 / Helena Suková 12–2 Sylvia Hanika 10–5 Zina Garrison 9–4 Wendy Turnbull 9–6 Sue Barker 8–0 Pam Shriver 8–2 Virginia Ruzici 8–4 Andrea Jaeger 8–6 Barbara Potter 7–1 Mima Jaušovec 7–4 Kathy Jordan 7–5 Chris Evert 7–21 / Martina Navratilova 7–29 Kathleen Horvath 6–0 Lori McNeil 6–0 Claudia Kohde-Kilsch 6–3 Jo Durie 5–2 Gabriela Sabatini 5–2 Carling Bassett-Seguso 5–3 Lisa Bonder 4–0 Betty Stöve 4–0 Andrea Temesvári 4–0 Bonnie Gadusek 4–1 Catarina Lindqvist 4–1 Dianne Fromholtz 4–2 / Manuela Maleeva 4–3 Mary Joe Fernández 3–0 Virginia Wade 3–0 Nathalie Tauziat 2–0 Kathy Rinaldi 2–1 Billie Jean King 2–2 Tracy Austin 2–7 Rosemary Casals 1–0 Françoise Dürr 1–0 Julie Halard-Decugis 1–0 Magdalena Maleeva 1–0 / Natasha Zvereva 1–0 Steffi Graf 1–8 Amanda Coetzer 0–1 Evonne Goolagong Cawley 0–1 // Monica Seles 0–2 External links Mandlíková, Hana
https://en.wikipedia.org/wiki/Pam%20Shriver%20career%20statistics
This is a list of the main career statistics of former professional tennis player Pam Shriver. Major finals Grand Slams Singles: 1 (0 titles, 1 runner–up) Doubles: 27 (21 titles, 6 runners-up) Mixed doubles: 1 (1 title, 0 runners-up) Olympics Women's doubles: 1 (1 gold medal) Year-End Championships finals Doubles: 10 (10 titles) Titles Singles:48 (21–27) Doubles (111) Mixed doubles (1) 1987: French Open (Emilio Sánchez) Grand Slam performance timelines Singles Doubles External links Shriver, Pam
https://en.wikipedia.org/wiki/Internet%20access%20in%20Tanzania
Internet access in Tanzania, a country in East Africa, began in 1995. Within 5 years, 115,000 people were connected to the Internet. Since then, there has been significant growth. Statistics In June 2010, a Tanzania Communications Regulatory Authority review found that internet penetration was approximately 11%, or approximately 4.8 million Tanzanian users. 5% of those used internet cafes, 40% had access via an organisation or institution, and the remainder accessed the internet from a household connection. By 2014, there were twice as many users using the Internet for personal reasons than work reasons. By 2015, about 11% of households in Tanzania had internet access. The CIA World Factbook assessed internet penetration in 2016 at 13%. By mid-2017, the TCRA's figures were that 40% of Tanzania's 57 million population had internet access, due mainly to an increase in smartphone access. In contrast, there were 1.2 million fixed wireless connections and 629,474 fixed wired ones. References Tan
https://en.wikipedia.org/wiki/Javier%20Marcelo%20Correa
Javier Marcelo Correa (born 23 October 1992) is an Argentine professional footballer who plays as a forward for Liga MX club Santos Laguna. Career statistics Club References 1992 births Living people Footballers from Córdoba, Argentina Argentine men's footballers Men's association football forwards Argentine expatriate men's footballers Primera Nacional players Paraguayan Primera División players Argentine Primera División players Liga MX players Instituto Atlético Central Córdoba footballers General Paz Juniors footballers Ferro Carril Oeste footballers Club Olimpia footballers Rosario Central footballers Godoy Cruz Antonio Tomba footballers Club Atlético Colón footballers Santos Laguna footballers Atlas F.C. footballers Racing Club de Avellaneda footballers Expatriate men's footballers in Paraguay Expatriate men's footballers in Mexico Argentine expatriate sportspeople in Paraguay Argentine expatriate sportspeople in Mexico
https://en.wikipedia.org/wiki/Co-Hopfian%20group
In the mathematical subject of group theory, a co-Hopfian group is a group that is not isomorphic to any of its proper subgroups. The notion is dual to that of a Hopfian group, named after Heinz Hopf. Formal definition A group G is called co-Hopfian if whenever is an injective group homomorphism then is surjective, that is . Examples and non-examples Every finite group G is co-Hopfian. The infinite cyclic group is not co-Hopfian since is an injective but non-surjective homomorphism. The additive group of real numbers is not co-Hopfian, since is an infinite-dimensional vector space over and therefore, as a group . The additive group of rational numbers and the quotient group are co-Hopfian. The multiplicative group of nonzero rational numbers is not co-Hopfian, since the map is an injective but non-surjective homomorphism. In the same way, the group of positive rational numbers is not co-Hopfian. The multiplicative group of nonzero complex numbers is not co-Hopfian. For every the free abelian group is not co-Hopfian. For every the free group is not co-Hopfian. There exists a finitely generated non-elementary (that is, not virtually cyclic) virtually free group which is co-Hopfian. Thus a subgroup of finite index in a finitely generated co-Hopfian group need not be co-Hopfian, and being co-Hopfian is not a quasi-isometry invariant for finitely generated groups. Baumslag–Solitar groups , where , are not co-Hopfian. If G is the fundamental group of a closed aspherical manifold with nonzero Euler characteristic (or with nonzero simplicial volume or nonzero L2-Betti number), then G is co-Hopfian. If G is the fundamental group of a closed connected oriented irreducible 3-manifold M then G is co-Hopfian if and only if no finite cover of M is a torus bundle over the circle or the product of a circle and a closed surface. If G is an irreducible lattice in a real semi-simple Lie group and G is not a virtually free group then G is co-Hopfian. E.g. this fact applies to the group for . If G is a one-ended torsion-free word-hyperbolic group then G is co-Hopfian, by a result of Sela. If G is the fundamental group of a complete finite volume smooth Riemannian n-manifold (where n > 2) of pinched negative curvature then G is co-Hopfian. The mapping class group of a closed hyperbolic surface is co-Hopfian. The group Out(Fn) (where n>2) is co-Hopfian. Delzant and Polyagailo gave a characterization of co-Hopficity for geometrically finite Kleinian groups of isometries of without 2-torsion. A right-angled Artin group (where is a finite nonempty graph) is not co-Hopfian; sending every standard generator of to a power defines and endomorphism of which is injective but not surjective. A finitely generated torsion-free nilpotent group G may be either co-Hopfian or not co-Hopfian, depending on the properties of its associated rational Lie algebra. If G is a relatively hyperbolic group and is an injective but non-surjective endomorphism o
https://en.wikipedia.org/wiki/Female%20education%20in%20STEM
Female education in STEM refers to child and adult female representation in the educational fields of science, technology, engineering, and mathematics (STEM). In 2017, 33% of students in STEM fields were women. The organization UNESCO has stated that this gender disparity is due to discrimination, biases, social norms and expectations that influence the quality of education women receive and the subjects they study. UNESCO also believes that having more women in STEM fields is desirable because it would help bring about sustainable development. Current status of girls and women in STEM education Overall trends in STEM education Gender differences in STEM education participation are already visible in early childhood care and education in science- and math-related play, and become more pronounced at higher levels of education. Girls appear to lose interest in STEM subjects with age, particularly between early and late adolescence. This decreased interest affects participation in advanced studies at the secondary level and in higher education. Female students represent 35% of all students enrolled in STEM-related fields of study at this level globally. Differences are also observed by disciplines, with female enrollment lowest in engineering, manufacturing and construction, natural science, mathematics and statistics and ICT fields. Significant regional and country differences in female representation in STEM studies can be observed, though, suggesting the presence of contextual factors affecting girls’ and women's engagement in these fields. Women leave STEM disciplines in disproportionate numbers during their higher education studies, in their transition to the world of work and even in their career cycle. Learning achievement in STEM education Data on gender differences in learning achievement present a complex picture, depending on what is measured (subject, knowledge acquisition against knowledge application), the level of education/age of students, and geographic location. Overall, women's participation has been increasing, but significant regional variations exist. For example, where data are available in Africa, Latin America and the Caribbean, the gender gap is largely in favor of boys in mathematics achievement in secondary education. In contrast, in the Arab States, girls perform better than boys in both subjects in primary and secondary education. As with the data on participation, national and regional variations in data on learning achievement suggest the presence of contextual factors affecting girls’ and women's engagement in these fields. Girls’ achievement seems to be stronger in science than mathematics and where girls do better than boys, the score differential is up to three times higher than where boys do better. Girls tend to outperform boys in certain sub-topics such as biology and chemistry but do less well in physics and earth science. The gender gap has fallen significantly in science in secondary education amon
https://en.wikipedia.org/wiki/Icelandic%20Junior%20College%20Mathematics%20Competition
Icelandic Junior College Mathematics Competition () is an annual mathematical olympiad first held in the winter of 1984–1985. It is hosted by the Icelandic Mathematical Organization () and the Natural Sciences's Teacher Association, and the largest competition of its kind in the country. Its goals include increasing the interest of Icelandic secondary school students towards mathematics, and other fields built on a mathematical foundation. The contest is held in two parts every winter. First, a qualifier held in October of every year on two difficulty levels; upper level, and lower level. The lower level is intended for first year secondary school students, and the upper level for older students. Those who do well in the qualifier are invited to the final competition, held in March. Alongside honours and awards, the top students are selected to perform in various mathematical olympiads, including the Baltic Way, the Nordic Mathematical Contest, and the International Mathematical Olympiad. References Mathematics competitions International Mathematical Olympiad Recurring events established in 1984
https://en.wikipedia.org/wiki/Ervis%20Ko%C3%A7i%20%28footballer%2C%20born%201998%29
Ervis Koçi (born 22 June 1998) is an Albanian professional footballer who plays as a right-back. Club career Early career Dinamo Tirana International career Career statistics Club References External links 1998 births Living people Footballers from Tirana Albanian men's footballers Men's association football defenders Albania men's youth international footballers Albania men's under-21 international footballers FC Dinamo City players KF Korabi Peshkopi players KF Luzi i Vogël 2008 players Kategoria e Parë players
https://en.wikipedia.org/wiki/Fundamental%20groupoid
In algebraic topology, the fundamental groupoid is a certain topological invariant of a topological space. It can be viewed as an extension of the more widely-known fundamental group; as such, it captures information about the homotopy type of a topological space. In terms of category theory, the fundamental groupoid is a certain functor from the category of topological spaces to the category of groupoids. Definition Let be a topological space. Consider the equivalence relation on continuous paths in in which two continuous paths are equivalent if they are homotopic with fixed endpoints. The fundamental groupoid assigns to each ordered pair of points in the collection of equivalence classes of continuous paths from to . More generally, the fundamental groupoid of on a set restricts the fundamental groupoid to the points which lie in both and . This allows for a generalisation of the Van Kampen theorem using two base points to compute the fundamental group of the circle. As suggested by its name, the fundamental groupoid of naturally has the structure of a groupoid. In particular, it forms a category; the objects are taken to be the points of and the collection of morphisms from to is the collection of equivalence classes given above. The fact that this satisfies the definition of a category amounts to the standard fact that the equivalence class of the concatenation of two paths only depends on the equivalence classes of the individual paths. Likewise, the fact that this category is a groupoid, which asserts that every morphism is invertible, amounts to the standard fact that one can reverse the orientation of a path, and the equivalence class of the resulting concatenation contains the constant path. Note that the fundamental groupoid assigns, to the ordered pair , the fundamental group of based at . Basic properties Given a topological space , the path-connected components of are naturally encoded in its fundamental groupoid; the observation is that and are in the same path-connected component of if and only if the collection of equivalence classes of continuous paths from to is nonempty. In categorical terms, the assertion is that the objects and are in the same groupoid component if and only if the set of morphisms from to is nonempty. Suppose that is path-connected, and fix an element of . One can view the fundamental group as a category; there is one object and the morphisms from it to itself are the elements of . The selection, for each in , of a continuous path from to , allows one to use concatenation to view any path in as a loop based at . This defines an equivalence of categories between and the fundamental groupoid of . More precisely, this exhibits as a skeleton of the fundamental groupoid of . The fundamental groupoid of a (path-connected) differentiable manifold is actually a Lie groupoid, arising as the gauge groupoid of the universal cover of . Bundles of groups and local systems Given a t
https://en.wikipedia.org/wiki/Darren%20Elias
Darren Elias (born November 18, 1986) is an American professional poker player, creative writing graduate, and former mathematics and physics undergraduate student; who holds the record for most World Poker Tour titles, with four. Early life and online poker Elias was born in Boston and now lives in Medford, New Jersey. He was an ocean lifeguard in Myrtle Beach, South Carolina before he became a professional poker player. Elias attended the University of Redlands in Redlands, California with the chosen studies of mathematics and physics - later switching to creative writing - where he graduated with a bachelor's degree in 2008. In addition to his successes in live poker, he has also done well in online poker, winning over $8 million online. He played under the username "darrenelias" on Pokerstars and Full Tilt Poker, where he won two World Championship of Online Poker (WCOOP) titles and an FTOPS title. Live poker tournaments As of 2023, Elias has live tournament winnings of over $11,200,000. His cashes on the World Poker Tour make up over $4,600,000 of his total winnings. He is ranked #1 all-time in victories, final tables, and cashes on the World Poker Tour. World Poker Tour References 1986 births American poker players World Poker Tour winners People from Boston People from Cherry Hill, New Jersey Living people
https://en.wikipedia.org/wiki/Helena%20Sukov%C3%A1%20career%20statistics
This is a list of the main career statistics of former Czech professional tennis player Helena Suková. Major finals Grand Slam finals Singles: 4 (4 runners-up) Doubles: 14 (9 titles, 5 runners-up) Mixed doubles: 8 (5 titles, 3 runners-up) Olympics Women's doubles: 2 medals (2 silver medals) Year-end championships finals Singles: 1 (1 runner–up) Doubles: 5 (1 title, 4 runners-up) WTA Tour finals Singles: 31 (10–21) Doubles 128 (69–59) Grand Slam performance timeline Singles Doubles Mixed doubles Suková, Helena
https://en.wikipedia.org/wiki/Coherent%20algebra
A coherent algebra is an algebra of complex square matrices that is closed under ordinary matrix multiplication, Schur product, transposition, and contains both the identity matrix and the all-ones matrix . Definitions A subspace of is said to be a coherent algebra of order if: . for all . and for all . A coherent algebra is said to be: Homogeneous if every matrix in has a constant diagonal. Commutative if is commutative with respect to ordinary matrix multiplication. Symmetric if every matrix in is symmetric. The set of Schur-primitive matrices in a coherent algebra is defined as . Dually, the set of primitive matrices in a coherent algebra is defined as . Examples The centralizer of a group of permutation matrices is a coherent algebra, i.e. is a coherent algebra of order if for a group of permutation matrices. Additionally, the centralizer of the group of permutation matrices representing the automorphism group of a graph is homogeneous if and only if is vertex-transitive. The span of the set of matrices relating pairs of elements lying in the same orbit of a diagonal action of a finite group on a finite set is a coherent algebra, i.e. where is defined as for all of a finite set acted on by a finite group . The span of a regular representation of a finite group as a group of permutation matrices over is a coherent algebra. Properties The intersection of a set of coherent algebras of order is a coherent algebra. The tensor product of coherent algebras is a coherent algebra, i.e. if and are coherent algebras. The symmetrization of a commutative coherent algebra is a coherent algebra. If is a coherent algebra, then for all , , and if is homogeneous. Dually, if is a commutative coherent algebra (of order ), then for all , , and as well. Every symmetric coherent algebra is commutative, and every commutative coherent algebra is homogeneous. A coherent algebra is commutative if and only if it is the Bose–Mesner algebra of a (commutative) association scheme. A coherent algebra forms a principal ideal ring under Schur product; moreover, a commutative coherent algebra forms a principal ideal ring under ordinary matrix multiplication as well. See also Association scheme Bose–Mesner algebra References Algebra Algebraic combinatorics
https://en.wikipedia.org/wiki/Steiner%20point%20%28computational%20geometry%29
In computational geometry, a Steiner point is a point that is not part of the input to a geometric optimization problem but is added during the solution of the problem, to create a better solution than would be possible from the original points alone. The name of these points comes from the Steiner tree problem, named after Jakob Steiner, in which the goal is to connect the input points by a network of minimum total length. If the input points alone are used as endpoints of the network edges, then the shortest network is their minimum spanning tree. However, shorter networks can often be obtained by adding Steiner points, and using both the new points and the input points as edge endpoints. Another problem that uses Steiner points is Steiner triangulation. The goal is to partition an input (such as a point set or polygon) into triangles, meeting edge-to-edge. Both input points and Steiner points may be used as triangle vertices. See also Delaunay refinement References Computational geometry
https://en.wikipedia.org/wiki/Order-7%20cubic%20honeycomb
In the geometry of hyperbolic 3-space, the order-7 cubic honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol {4,3,7}, it has seven cubes {4,3} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many cubes existing around each vertex in an order-7 triangular tiling vertex arrangement. Images Related polytopes and honeycombs It is one of a series of regular polytopes and honeycombs with cubic cells: {4,3,p}: It is a part of a sequence of hyperbolic honeycombs with order-7 triangular tiling vertex figures, {p,3,7}. Order-8 cubic honeycomb In the geometry of hyperbolic 3-space, the order-8 cubic honeycomb a regular space-filling tessellation (or honeycomb). With Schläfli symbol {4,3,8}. It has eight cubes {4,3} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many cubes existing around each vertex in an order-8 triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {4,(3,4,3)}, Coxeter diagram, , with alternating types or colors of cubic cells. Infinite-order cubic honeycomb In the geometry of hyperbolic 3-space, the infinite-order cubic honeycomb a regular space-filling tessellation (or honeycomb). With Schläfli symbol {4,3,∞}. It has infinitely many cubes {4,3} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many cubes existing around each vertex in an infinite-order triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {4,(3,∞,3)}, Coxeter diagram, , with alternating types or colors of cubic cells. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes Infinite-order hexagonal tiling honeycomb References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Hao Chen, Jean-Philippe Labbé, Lorentzian Coxeter groups and Boyd-Maxwell ball packings, (2013) Visualizing Hyperbolic Honeycombs arXiv:1511.02851 Roice Nelson, Henry Segerman (2015) External links John Baez, Visual insights: {7,3,3} Honeycomb (2014/08/01) {7,3,3} Honeycomb Meets Plane at Infinity (2014/08/14) Honeycombs (geometry) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. Infinite-order tilings
https://en.wikipedia.org/wiki/Order-3-4%20heptagonal%20honeycomb
In the geometry of hyperbolic 3-space, the order-3-4 heptagonal honeycomb or 7,3,4 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. Geometry The Schläfli symbol of the order-3-4 heptagonal honeycomb is {7,3,4}, with four heptagonal tilings meeting at each edge. The vertex figure of this honeycomb is an octahedron, {3,4}. Related polytopes and honeycombs It is a part of a series of regular polytopes and honeycombs with {p,3,4} Schläfli symbol, and octahedral vertex figures: Order-3-4 octagonal honeycomb In the geometry of hyperbolic 3-space, the order-3-4 octagonal honeycomb or 8,3,4 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an octagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-3-4 octagonal honeycomb is {8,3,4}, with four octagonal tilings meeting at each edge. The vertex figure of this honeycomb is an octahedron, {3,4}. Order-3-4 apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-3-4 apeirogonal honeycomb or ∞,3,4 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-3 apeirogonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-3-4 apeirogonal honeycomb is {∞,3,4}, with four order-3 apeirogonal tilings meeting at each edge. The vertex figure of this honeycomb is an octahedron, {3,4}. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Hao Chen, Jean-Philippe Labbé, Lorentzian Coxeter groups and Boyd-Maxwell ball packings, (2013) Visualizing Hyperbolic Honeycombs arXiv:1511.02851 Roice Nelson, Henry Segerman (2015) External links John Baez, Visual insights: {7,3,3} Honeycomb (2014/08/01) {7,3,3} Honeycomb Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. Honeycombs (geometry) Heptagonal tilings Isogonal 3-honeycombs Isochoric 3-honeycombs Order-3-n 3-honeycombs Order-n-4 3-honeycombs Regular 3-honeycombs
https://en.wikipedia.org/wiki/List%20of%20F.C.%20Motagua%20records%20and%20statistics
F.C. Motagua is a Honduran professional football club based in Tegucigalpa, Honduras. The club was founded in 1928. Motagua currently plays in the Honduran Liga Nacional, the top tier of Honduran football. They have not been out of the top tier since 1965, the year the league was inaugurated. They have also been involved in CONCACAF football since they qualified to the CONCACAF Champions' Cup in 1969. This list encompasses the major honours won by Motagua and records set by the club, their managers and their players. The player records section includes details of the club's leading goalscorers and those who have made most appearances in first-team competitions. It also records notable achievements by Motagua players on the international stage. All stats accurate as of match played 13 August 2023. Honours F.C. Motagua is the second most successful club in Honduras having won 18 domestic leagues since the inauguration of the Honduran Liga Nacional in 1965–66. Players 200+ Appearances Top 10 scorers List of Hat-tricks Jairo Martínez possesses the record of most hat-tricks for the club with a total of four. Denilson Costa remains as of today, the only player to score four goals in a single game for F.C. Motagua on 6 April 1997 against Independiente Villela. League awards Top goalscorers Roberto Abrussezze – 16 goals in 1968–69 Mario Blandón – 16 goals (shared) in 1973–74 Mario Carreño – 10 goals in 1977–78 Salvador Bernárdez – 15 goals in 1978–79 Miguel Matthews – 8 goals (shared) in 1988–89 Álex Ávila – 14 goals in 1994–95 Geovanny Castro – 14 goals in 1995–96 Denilson Costa – 13 goals in 1996–97 Amado Guevara – 15 goals (shared) in 1997–98 C Jerry Bengtson – 15 goals in 2010–11 C Rubilio Castillo – 29 goals in 2014–15 Best goalkeepers Salvador Dubois – 1970–71 Roger Mayorga – 1973–74 Roger Mayorga – 1974–75 Alcides Morales – 1978–79 Alcides Morales – 1981–82 Marvin Henríquez – 1991–92 Diego Vásquez – 1997–98 A Diego Vásquez – 1997–98 C Ricardo Canales – 2006–07 A Ricardo Canales – 2008–09 A Donaldo Morales – 2012–13 Sebastián Portigliatti – 2014–15 Jonathan Rougier – 2017–18 Jonathan Rougier – 2018–19 Others Most goals scored in one season: Rubilio Castillo – 29 in 2014–15 Goalkeeper with longest clean-sheet: Roger Mayorga – 838 minutes in 10 games in 1976 First league scorer: Amado Castillo, 18 July 1965 First Honduran Cup scorer: missing, 1968 First Honduran Supercup scorer: Juan Coello, 13 January 1999 First international competition scorer: Rubén Guifarro, 1 May 1969 Managerial records First ever coach: Daniel Bustillo – 1928 Most successful coaches: Ramón Maradiaga – 4 leagues, 1 Honduran Supercup and 1 UNCAF Interclub Cup Diego Vásquez – 5 leagues and 1 Honduran Supercup Most consecutive games as coach: Diego Vásquez – 350 games (2014–2022) League records Team records Matches Others: Biggest domestic win: Motagua 7–0 Súper Estrella, 24 Nov
https://en.wikipedia.org/wiki/George%20Szpiro
George Geza Szpiro (born 18 February 1950 in Vienna) is an Israeli–Swiss author, journalist, and mathematician. He has written articles and books on popular mathematics and related topics. Life and career Szpiro was born in Vienna in 1950, and moved to Zug, Switzerland, in 1961. He obtained a master's degree in mathematics and physics from ETH Zurich. He also obtained an MBA from Stanford University, in 1975. Afterward, he worked as a management consultant at McKinsey & Company. In 1984, he obtained a Ph.D. in mathematical economics from Hebrew University. Szpiro was an assistant professor at the Wharton School of the University of Pennsylvania, during 1984–1986. He was a lecturer in mathematical economics at Hebrew University, during 1986–1992. He also taught at the University of Zurich. He has published research papers related to mathematics, finance, and statistics. Since 1986, Szpiro has worked as a journalist at Neue Zürcher Zeitung. At NZZ, he has been the Israel correspondent and mathematics columnist. For his mathematics columns, Szpiro was awarded the Prix Média by the Swiss Academy of Natural Sciences, in 2003. He was also awarded the Media Prize by the German Mathematical Society, in 2006. Beside writing for NZZ, he has also written non-research mathematics columns for journals such as Nature and Notices of the American Mathematical Society. Szpiro married in 1979. He and his wife, Fortuna, have three children. Books Kepler's Conjecture: How Some of the Greatest Minds in History Helped Solve One of the Oldest Math Problems in the World (John Wiley & Sons, 2003) The Secret Life of Numbers: 50 Easy Pieces on How Mathematicians Work and Think (Joseph Henry Press, 2006) Poincaré's Prize: The Hundred-Year Quest to Solve One of Math's Greatest Puzzles (Dutton, 2007) Numbers Rule: The Vexing Mathematics of Democracy, from Plato to the Present (Princeton University Press, 2010) A Mathematical Medley: Fifty Easy Pieces on Mathematics (American Mathematical Society, 2010) Pricing the Future: Finance, Physics, and the 300-year Journey to the Black-Scholes Equation (Basic Books, 2011) Notes External links  —website of George Szpiro "The Truth, the Whole Truth, And Nothing but the Truth"  —YouTube video of Szpiro discussing the difficulties a journalist faces when writing about mathematics for a general audience (the discussion was part of a seminar at the University of Edinburgh: dated 9 April 2015) 1950 births ETH Zurich alumni Hebrew University of Jerusalem alumni Living people Mathematics popularizers Austrian non-fiction writers Israeli non-fiction writers Swiss non-fiction writers Science journalists Stanford Graduate School of Business alumni
https://en.wikipedia.org/wiki/Seriation%20%28statistics%29
In combinatorial data analysis, seriation is the process of finding an arrangement of all objects in a set, in a linear order, given a loss function. The main goal is exploratory, to reveal structural information. References Combinatorics Data analysis
https://en.wikipedia.org/wiki/Conchita%20Mart%C3%ADnez%20career%20statistics
This is a list of the main career statistics of tennis player Conchita Martínez. Significant finals Grand Slam finals Singles: 3 (1 title, 2 runner-ups) Doubles: 2 (runner-ups) Olympics Doubles: 3 (2 silver medals, 1 bronze medal) Tier I Singles: 14 (9 titles, 5 runner-ups) WTA Tour finals Singles: 55 (33 titles, 22 runner-ups) Doubles: 39 (13 titles, 26 runner-ups) ITF finals Singles: 5 (4–1) Doubles: 2 (2–0) Other finals Mediterranean games Singles: 1 (1 gold medal) Spanish Championship Singles: 1 (1-0) Spanish Masters Singles: 2 (1-1) Performance timelines Singles Doubles WTA Tour career earnings Head-to-head vs. top 10 ranked players Martínez, Conchita
https://en.wikipedia.org/wiki/Kolmogorov%27s%20normability%20criterion
In mathematics, Kolmogorov's normability criterion is a theorem that provides a necessary and sufficient condition for a topological vector space to be ; that is, for the existence of a norm on the space that generates the given topology. The normability criterion can be seen as a result in same vein as the Nagata–Smirnov metrization theorem and Bing metrization theorem, which gives a necessary and sufficient condition for a topological space to be metrizable. The result was proved by the Russian mathematician Andrey Nikolayevich Kolmogorov in 1934. Statement of the theorem Because translation (that is, vector addition) by a constant preserves the convexity, boundedness, and openness of sets, the words "of the origin" can be replaced with "of some point" or even with "of every point". Definitions It may be helpful to first recall the following terms: A (TVS) is a vector space equipped with a topology such that the vector space operations of scalar multiplication and vector addition are continuous. A topological vector space is called if there is a norm on such that the open balls of the norm generate the given topology (Note well that a given normable topological vector space might admit multiple such norms.) A topological space is called a if, for every two distinct points there is an open neighbourhood of that does not contain In a topological vector space, this is equivalent to requiring that, for every there is an open neighbourhood of the origin not containing Note that being T1 is weaker than being a Hausdorff space, in which every two distinct points admit open neighbourhoods of and of with ; since normed and normable spaces are always Hausdorff, it is a "surprise" that the theorem only requires T1. A subset of a vector space is a if, for any two points the line segment joining them lies wholly within that is, for all A subset of a topological vector space is a if, for every open neighbourhood of the origin, there exists a scalar so that (One can think of as being "small" and as being "big enough" to inflate to cover ) See also References Theorems in functional analysis
https://en.wikipedia.org/wiki/Eric%20Reissner
Max Erich (Eric) Reissner (January 5, 1913 – November 1, 1996) was a German-American civil engineer and mathematician, and Professor of Mathematics at the Massachusetts Institute of Technology. He was recipient of the Theodore von Karman Medal in 1964, and the ASME Medal in 1988 Reissner is known as co-developer of the Mindlin–Reissner plate theory. He is remembered by The New York Times (1996) as the "mathematician whose work in applied mechanics helped broaden the theoretical understanding of how solid objects react under stress and led to advances in both civil and aerospace engineering." Professor Reissner is perhaps best known for the Reissner shear deformation plate theory, which resolved the classical boundary-condition paradox of Kirchhoff, and for establishment of the Reissner variational principle in solid mechanics, for which he received an award from the American Institute of Aeronautics and Astronautics. Professor Reissner also has been honored by the American Society of Civil Engineers with the Theodore von Kármán Medal, by the American Society of Mechanical Engineers with the Timoshenko Medal, and by the University of Hanover, Germany, with an honorary doctorate. He was elected a fellow of the American Academy of Arts and Sciences and the American Institute of Aeronautics and Astronautics, a member of the National Academy of Engineering and the International Academy of Astronautics, and an honorary member of the American Society of Mechanical Engineers and the German Society for Applied Mathematics and Mechanics (Gesellschaft für Angewandte Mathematik und Mechanik). He wrote nearly 300 articles published in scientific and technical journals and continued these contributions to the advancement of knowledge until the last few months of his illness. Biography Reissner was born in Aachen, Germany, son of Hans Jacob Reissner, an aeronautical engineer, and Josefine (Reichenberger) Reissner. At the Technical University of Berlin he obtained his Bsc in Applied Mathematics in 1935, and his MSc in Civil Engineering in 1936. Next he obtained his PhD at the Massachusetts Institute of Technology in 1938 under Dirk Struik with the thesis, entitled "Contributions to the Theory of Elasticity of Non-Isotropic Materials." Reissner started his academic career in 1938 at the Massachusetts Institute of Technology, where he taught mathematics. In 1947 he was appointed Professor of Mathematics, and served in this position until 1969. Next from 1969 to 1979 he was Professor of Applied Mechanics and Engineering Sciences at the University of California, San Diego. From 1948 to 1955 he had also been researcher at NASA's Langley Research Center, and from 1956 to 1957 at Lockheed's Palo Alto Research Center. Reissner was awarded a Guggenheim Fellowship in 1962. He was awarded the honorary doctor by the University of Hanover, and was elected honorary member by the Society for Applied Mathematics and Mechanics (GAMM). He received the Timoshenko Medal in 1
https://en.wikipedia.org/wiki/Order-3-5%20heptagonal%20honeycomb
In the geometry of hyperbolic 3-space, the order-3-5 heptagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. Geometry The Schläfli symbol of the order-3-5 heptagonal honeycomb is {7,3,5}, with five heptagonal tilings meeting at each edge. The vertex figure of this honeycomb is an icosahedron, {3,5}. Related polytopes and honeycombs It is a part of a series of regular polytopes and honeycombs with {p,3,5} Schläfli symbol, and icosahedral vertex figures. Order-3-5 octagonal honeycomb In the geometry of hyperbolic 3-space, the order-3-5 octagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an octagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order 3-5 heptagonal honeycomb is {8,3,5}, with five octagonal tilings meeting at each edge. The vertex figure of this honeycomb is an icosahedron, {3,5}. Order-3-5 apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-3-5 apeirogonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-3 apeirogonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-3-5 apeirogonal honeycomb is {∞,3,5}, with five order-3 apeirogonal tilings meeting at each edge. The vertex figure of this honeycomb is an icosahedron, {3,5}. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Hao Chen, Jean-Philippe Labbé, Lorentzian Coxeter groups and Boyd-Maxwell ball packings, (2013) Visualizing Hyperbolic Honeycombs arXiv:1511.02851 Roice Nelson, Henry Segerman (2015) External links John Baez, Visual insights: {7,3,3} Honeycomb (2014/08/01) {7,3,3} Honeycomb Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. Honeycombs (geometry) Heptagonal tilings Isogonal 3-honeycombs Isochoric 3-honeycombs Order-3-n 3-honeycombs Order-n-5 3-honeycombs Regular 3-honeycombs
https://en.wikipedia.org/wiki/Order-3-6%20heptagonal%20honeycomb
In the geometry of hyperbolic 3-space, the order-3-6 heptagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. Geometry The Schläfli symbol of the order-3-6 heptagonal honeycomb is {7,3,6}, with six heptagonal tilings meeting at each edge. The vertex figure of this honeycomb is an triangular tiling, {3,6}. It has a quasiregular construction, , which can be seen as alternately colored cells. Related polytopes and honeycombs It is a part of a series of regular polytopes and honeycombs with {p,3,6} Schläfli symbol, and triangular tiling vertex figures. Order-3-6 octagonal honeycomb In the geometry of hyperbolic 3-space, the order-3-6 octagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-6 octagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-3-6 octagonal honeycomb is {8,3,6}, with six octagonal tilings meeting at each edge. The vertex figure of this honeycomb is a triangular tiling, {3,6}. It has a quasiregular construction, , which can be seen as alternately colored cells. Order-3-6 apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-3-6 apeirogonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-3 apeirogonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-3-6 apeirogonal honeycomb is {∞,3,6}, with six order-3 apeirogonal tilings meeting at each edge. The vertex figure of this honeycomb is a triangular tiling, {3,6}. It has a quasiregular construction, , which can be seen as alternately colored cells. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Hao Chen, Jean-Philippe Labbé, Lorentzian Coxeter groups and Boyd-Maxwell ball packings, (2013) Visualizing Hyperbolic Honeycombs arXiv:1511.02851 Roice Nelson, Henry Segerman (2015) External links John Baez, Visual insights: {7,3,3} Honeycomb (2014/08/01) {7,3,3} Honeycomb Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. Honeycombs (geometry) Heptagonal tilings Isogonal 3-honeycombs Isochoric 3-honeycombs O
https://en.wikipedia.org/wiki/Order-3-7%20heptagonal%20honeycomb
In the geometry of hyperbolic 3-space, the order-3-7 heptagonal honeycomb a regular space-filling tessellation (or honeycomb) with Schläfli symbol {7,3,7}. Geometry All vertices are ultra-ideal (existing beyond the ideal boundary) with seven heptagonal tilings existing around each edge and with an order-7 triangular tiling vertex figure. Related polytopes and honeycombs It a part of a sequence of regular polychora and honeycombs {p,3,p}: Order-3-8 octagonal honeycomb In the geometry of hyperbolic 3-space, the order-3-8 octagonal honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {8,3,8}. It has eight octagonal tilings, {8,3}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many octagonal tilings existing around each vertex in an order-8 triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {8,(3,4,3)}, Coxeter diagram, , with alternating types or colors of cells. In Coxeter notation the half symmetry is [8,3,8,1+] = [8,((3,4,3))]. Order-3-infinite apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-3-infinite apeirogonal honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {∞,3,∞}. It has infinitely many order-3 apeirogonal tiling {∞,3} around each edge. All vertices are ultra-ideal (Existing beyond the ideal boundary) with infinitely many apeirogonal tilings existing around each vertex in an infinite-order triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {∞,(3,∞,3)}, Coxeter diagram, , with alternating types or colors of apeirogonal tiling cells. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Hao Chen, Jean-Philippe Labbé, Lorentzian Coxeter groups and Boyd-Maxwell ball packings, (2013) Visualizing Hyperbolic Honeycombs arXiv:1511.02851 Roice Nelson, Henry Segerman (2015) External links John Baez, Visual insights: {7,3,3} Honeycomb (2014/08/01) {7,3,3} Honeycomb Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. Honeycombs (geometry) Heptagonal tilings Infinite-order tilings Isogonal 3-honeycombs Isochoric 3-honeycombs Order-3-n 3-honeycombs Order-n-7 3-honeycombs Regular 3-honeycombs
https://en.wikipedia.org/wiki/Ashdod%20derby
The Ashdod derby () is the football match between Hapoel Ashdod and Maccabi Ironi Ashdod both from Ashdod, Israel. The first derby was played on 13 January 1962. Statistics As of 10 January 2020 External links Her city: Ironi Ashdod 4:1 Hapoel Ashdod (In Hebrew) Football derbies in Israel Maccabi Ironi Ashdod F.C. Hapoel Ashdod F.C. Sport in Ashdod
https://en.wikipedia.org/wiki/Tanzania%20media%20service%20Act%2C%202016
The Government of United Republic of Tanzania has enacted four Acts concerning the control of freedom and regulation of media in the country. These are The Cybercrimes Act, 2015, The Statistics Act, 2013, The Media Services Act, 2015 and The Access to Information Act, 2015. The Government of the Republic of Tanzania on one side claims that the four Acts were highly needed to facilitate access to information and control the media sector. On the other, political analysts, activists and everyday people have criticized the Acts, predicting that they will negatively affect freedom of the media and, eventually, citizens' freedom of speech. The Acts give Tanzania's Minister responsible for information the power to ban any media which may seems to report, publish, print or broadcast information contrary to the code of conducts or threaten peace in the state. Brief history The Media Services Act, 2016, was enacted in 2016 by the parliament of the united republic of Tanzania on 5 November 2016 and signed by President John Pombe Magufuli two weeks later. The Act replaced the then restrictive newspaper Act of 1976. The expectation of many people was that the Act would become an updated media law adhering to international conventions like the United Nation's Universal Declaration of Human Rights (UNDHR), the East African Community Treaty and other sources which affect then liberty of citizens to access information. Instead, the Acts appears to many to act to deprive certain civil constitutional rights, including freedom of expression and freedom of access to information. Reaction from the press The Media Council of Tanzania (MCT), Legal and Human Right Centre (LHRC), and Tanzania Human Rights Defenders Coalition (THRDC) on 11 January 2017 filed a petition at the East African Court of Justice (EACJ) challenging the newly passed Media Service Act, 2016. The petition, supported by a team of lawyers from MCT, LHRC and THRDC claims that the Act deprives civil liberties and access to information rights guaranteed under Article 18, subsections (a), (b), (c) and (d) of the Constitution of Tanzania, respectively addressing: freedom of opinion and to speech the right to seek, receive and/or disseminate information, regardless of national boundaries; the freedom to communicate and protection from interference the right to be informed at all times of various important events of life and activities of the people and also of issues of importance to the society. References Law of Tanzania
https://en.wikipedia.org/wiki/Order-5%20octahedral%20honeycomb
In the geometry of hyperbolic 3-space, the order-5 octahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,4,5}. It has five octahedra {3,4} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many octahedra existing around each vertex in an order-5 square tiling vertex arrangement. Images Related polytopes and honeycombs It a part of a sequence of regular polychora and honeycombs with octahedral cells: {3,4,p} Order-6 octahedral honeycomb In the geometry of hyperbolic 3-space, the order-6 octahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,4,6}. It has six octahedra, {3,4}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many octahedra existing around each vertex in an order-6 square tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,(4,3,4)}, Coxeter diagram, , with alternating types or colors of octahedral cells. In Coxeter notation the half symmetry is [3,4,6,1+] = [3,((4,3,4))]. Order-7 octahedral honeycomb In the geometry of hyperbolic 3-space, the order-7 octahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,4,7}. It has seven octahedra, {3,4}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many octahedra existing around each vertex in an order-7 square tiling vertex arrangement. Order-8 octahedral honeycomb In the geometry of hyperbolic 3-space, the order-8 octahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,4,8}. It has eight octahedra, {3,4}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many octahedra existing around each vertex in an order-8 square tiling vertex arrangement. Infinite-order octahedral honeycomb In the geometry of hyperbolic 3-space, the infinite-order octahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,4,∞}. It has infinitely many octahedra, {3,4}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many octahedra existing around each vertex in an infinite-order square tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,(4,∞,4)}, Coxeter diagram, = , with alternating types or colors of octahedral cells. In Coxeter notation the half symmetry is [3,4,∞,1+] = [3,((4,∞,4))]. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jef
https://en.wikipedia.org/wiki/Order-4%20icosahedral%20honeycomb
In the geometry of hyperbolic 3-space, the order-4 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5,4}. Geometry It has four icosahedra {3,5} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many icosahedra existing around each vertex in an order-4 pentagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,51,1}, Coxeter diagram, , with alternating types or colors of icosahedral cells. In Coxeter notation the half symmetry is [3,5,4,1+] = [3,51,1]. Related polytopes and honeycombs It a part of a sequence of regular polychora and honeycombs with icosahedral cells: {3,5,p} Order-5 icosahedral honeycomb In the geometry of hyperbolic 3-space, the order-5 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5,5}. It has five icosahedra, {3,5}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many icosahedra existing around each vertex in an order-5 pentagonal tiling vertex arrangement. Order-6 icosahedral honeycomb In the geometry of hyperbolic 3-space, the order-6 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5,6}. It has six icosahedra, {3,5}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many icosahedra existing around each vertex in an order-6 pentagonal tiling vertex arrangement. Order-7 icosahedral honeycomb In the geometry of hyperbolic 3-space, the order-7 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5,7}. It has seven icosahedra, {3,5}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many icosahedra existing around each vertex in an order-7 pentagonal tiling vertex arrangement. Order-8 icosahedral honeycomb In the geometry of hyperbolic 3-space, the order-8 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5,8}. It has eight icosahedra, {3,5}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many icosahedra existing around each vertex in an order-8 pentagonal tiling vertex arrangement. Infinite-order icosahedral honeycomb In the geometry of hyperbolic 3-space, the infinite-order icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5,∞}. It has infinitely many icosahedra, {3,5}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many icosahedra existing around each vertex in an infinite-order triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,(5,∞,5)}, Coxeter diagram, = , with alternating types or colors of ic
https://en.wikipedia.org/wiki/Order-6-4%20triangular%20honeycomb
In the geometry of hyperbolic 3-space, the order-6-4 triangular honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,6,4}. Geometry It has four triangular tiling {3,6} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,61,1}, Coxeter diagram, , with alternating types or colors of triangular tiling cells. In Coxeter notation the half symmetry is [3,6,4,1+] = [3,61,1]. Related polytopes and honeycombs It a part of a sequence of regular polychora and honeycombs with triangular tiling cells: {3,6,p} Order-6-5 triangular honeycomb In the geometry of hyperbolic 3-space, the order-6-3 triangular honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,6,5}. It has five triangular tiling, {3,6}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings existing around each vertex in an order-5 hexagonal tiling vertex arrangement. Order-6-6 triangular honeycomb In the geometry of hyperbolic 3-space, the order-6-6 triangular honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,6,6}. It has infinitely many triangular tiling, {3,6}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings existing around each vertex in an order-6 triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,(6,3,6)}, Coxeter diagram, = , with alternating types or colors of triangular tiling cells. In Coxeter notation the half symmetry is [3,6,6,1+] = [3,((6,3,6))]. Order-6-infinite triangular honeycomb In the geometry of hyperbolic 3-space, the order-6-infinite triangular honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,6,∞}. It has infinitely many triangular tiling, {3,6}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings existing around each vertex in an infinite-order triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,(6,∞,6)}, Coxeter diagram, = , with alternating types or colors of triangular tiling cells. In Coxeter notation the half symmetry is [3,6,∞,1+] = [3,((6,∞,6))]. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Cha
https://en.wikipedia.org/wiki/Order-4-5%20square%20honeycomb
In the geometry of hyperbolic 3-space, the order-4-5 square honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {4,4,5}. It has five square tiling {4,4} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many square tiling existing around each vertex in an order-5 square tiling vertex arrangement. Images Related polytopes and honeycombs It a part of a sequence of regular polychora and honeycombs with square tiling cells: {4,4,p} Order-4-6 square honeycomb In the geometry of hyperbolic 3-space, the order-4-6 square honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {4,4,6}. It has six square tiling, {4,4}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many square tiling existing around each vertex in an order-6 square tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {4,(4,3,4)}, Coxeter diagram, , with alternating types or colors of square tiling cells. In Coxeter notation the half symmetry is [4,4,6,1+] = [4,((4,3,4))]. Order-4-infinite square honeycomb In the geometry of hyperbolic 3-space, the order-4-infinite square honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {4,4,∞}. It has infinitely many square tiling, {4,4}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many square tiling existing around each vertex in an infinite-order square tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {4,(4,∞,4)}, Coxeter diagram, = , with alternating types or colors of square tiling cells. In Coxeter notation the half symmetry is [4,4,∞,1+] = [4,((4,∞,4))]. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Hao Chen, Jean-Philippe Labbé, Lorentzian Coxeter groups and Boyd-Maxwell ball packings, (2013) Visualizing Hyperbolic Honeycombs arXiv:1511.02851 Roice Nelson, Henry Segerman (2015) External links John Baez, Visual insights: {7,3,3} Honeycomb (2014/08/01) {7,3,3} Honeycomb Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. Honeycombs (geometry) Isogonal 3-honeycombs Isochoric 3-honeycombs Order-4-n 3-honeycombs Order-n-5 3-honeycombs Regular 3-honeycombs
https://en.wikipedia.org/wiki/Tanzania%20Media%20Service%20Act%2C%202016
The Government of United Republic of Tanzania has enacted four Acts concerning with the control of freedom and regulation of media in the country. These are The Cybercrimes Act, 2015, The Statistics Act, 2015, The Media Services Act, 2016, and The Access to Information Act, 2015. The Government of the Republic of Tanzania on one side claims that the four Acts were highly needed to facilitate access to information and control the media sector. Political analysts, activists and normal people on the other side criticized that the Acts will pessimistically affect the freedom of media and eventually the freedom of speech of citizens. The Acts give the Minister responsible for information the power to ban any media which may seems to report, publish, print or broadcast information contrary to the code of conducts or threaten peace in the state. Brief history The Media Services Act, 2016, was enacted in 2016 by the parliament of the united republic of Tanzania on 5 November 2016 and signed by President John Pombe Magufuli just two weeks later. The Act replaced the then restrictive Newspaper Act of 1976. The Expectation to many people was that, the Act would to become an updated media law that will obey to international conventions like United Nation Declaration of Human rights (UNDHR), East African Community Treaty and others on citizen liberty to access information but unexpectedly the Acts seems to many as depriving of civil constitutional rights like freedom of expression and freedom of getting information. Reaction from press The Media Council of Tanzania (MCT), Legal and Human Right Centre (LHRC), and Tanzania Human Rights Defenders Coalition HRDC) on 11 January 2017 filed a petition at the East African Court of Justice (EACJ) to challenge the newly passed Media Service Act, 2016. The team of lawyers from MCT, LHRC and THRDC are challenging sections of the Media Services Act, 2016 which appeared to deprive the civil liberties to access and getting information. According to the constitution of Tanzania Article 18 (a), (b), (c) and (d) Some deprived constitutional civil rights by the Media service Acts are; Freedom of opinion and expression ideas Right to seek, receive and, or disseminate information regardless of national boundaries; Freedom to communicate and a freedom with protection from interference Right to be informed at all times of various important events of life and activities of the people and also of issues of importance to the society East African Court of Justice decision March 2019 delivered the judgement and ruled that some of the provisions of sections 7(3) (a), (b), (c), (f), (g), (h), (i) and (j) and section 19, 20, 21, 35, 36, 37, 38, 39, 40, 50, 52, 53, 54, 58 and 59 of the Media Services Act are in violation of the Articles 6(d), 7(2) and 8(1) of the Treaty for the Establishment of the East African Community.. References Law of Tanzania
https://en.wikipedia.org/wiki/Zonogon
In geometry, a zonogon is a centrally-symmetric, convex polygon. Equivalently, it is a convex polygon whose sides can be grouped into parallel pairs with equal lengths and opposite orientations. Examples A regular polygon is a zonogon if and only if it has an even number of sides. Thus, the square, regular hexagon, and regular octagon are all zonogons. The four-sided zonogons are the square, the rectangles, the rhombi, and the parallelograms. Tiling and equidissection The four-sided and six-sided zonogons are parallelogons, able to tile the plane by translated copies of themselves, and all convex parallelogons have this form. Every -sided zonogon can be tiled by parallelograms. (For equilateral zonogons, a -sided one can be tiled by rhombi.) In this tiling, there is parallelogram for each pair of slopes of sides in the -sided zonogon. At least three of the zonogon's vertices must be vertices of only one of the parallelograms in any such tiling. For instance, the regular octagon can be tiled by two squares and four 45° rhombi. In a generalization of Monsky's theorem, proved that no zonogon has an equidissection into an odd number of equal-area triangles. Other properties In an -sided zonogon, at most pairs of vertices can be at unit distance from each other. There exist -sided zonogons with unit-distance pairs. Related shapes Zonogons are the two-dimensional analogues of three-dimensional zonohedra and higher-dimensional zonotopes. As such, each zonogon can be generated as the Minkowski sum of a collection of line segments in the plane. If no two of the generating line segments are parallel, there will be one pair of parallel edges for each line segment. Every face of a zonohedron is a zonogon, and every zonogon is the face of at least one zonohedron, the prism over that zonogon. Additionally, every planar cross-section through the center of a centrally-symmetric polyhedron (such as a zonohedron) is a zonogon. References Types of polygons
https://en.wikipedia.org/wiki/John%20Beale%20%28footballer%29
John Michael Beale (16 October 1930 – September 1995) was an English professional footballer who played as a wing half in the Football League for Portsmouth. Career statistics References 1930 births 1995 deaths Footballers from Portsmouth English men's footballers Men's association football wing halves English Football League players Portsmouth F.C. players Guildford City F.C. players Southern Football League players
https://en.wikipedia.org/wiki/Ugochi%20Nwaigwe
Ugochi Nwaigwe (born May 3, 1993) is an American-born Nigerian basketball player for Yakın Doğu Üniversitesi and the Nigerian national team. Wagner and Temple statistics Source International career She participated at the 2017 Women's Afrobasket. References 1993 births Living people Nigerian women's basketball players Nigerian expatriate basketball people in Spain Nigerian expatriate basketball people in Turkey Centers (basketball) Temple Owls women's basketball players
https://en.wikipedia.org/wiki/Ndidi%20Madu
Ndidi Madu (born March 17, 1989) is an American-born Nigerian basketball player who last played basketball for Broni and the Nigerian national team. Florida statistics Source International career She participated at the 2017 Women's Afrobasket. she averaged 3.9 pts, 3.9 RBG and 1.6 APG during the tournament. FIBA stats During the FIBA Africa championship for women in 2013, she averaged 9.3 points per game. During the 2014 FIBA Africa cup for women's club final round, she averaged 10pts, 3.3RPG, 0.8APG. During the 2015 Afrobasket for women; final round she averaged 8.1pts, 9.5 RPG and 0.6 APG. In the 2015 FIBA champions cup for women, she averaged 9pts, 5.8RPG, 1.1APG. During the 2016 FIBA women's Olympic qualifying tournament, she averaged 7pts, 6.5RPG, 1APG. At the 2017 Afrobasket for women she averaged 3.9pts, 3.9 RPG and 1.4 APG. She also averaged 7.2pts, 7RPG and 1.6 APG at the 2017 FIBA champions cup for women in which she played for interclube of Angola. Retirement On June 25, 2018, Madu announced her retirement via social media from Professional basketball ahead of the 2018 FIBA Women's World cup in Spain. She stated her retirement will help her focus on her life after Basketball which is Coaching and her foundation the Team Madu Foundation which centers on youth development. References 1989 births Living people Nigerian women's basketball players Florida Gators women's basketball players Basketball players from Nashville, Tennessee Forwards (basketball) American expatriate basketball people in Italy American expatriate basketball people in Spain Nigerian expatriate basketball people in Italy Nigerian expatriate basketball people in Spain Nigerian expatriate basketball people in Montenegro African Games silver medalists for Nigeria African Games medalists in basketball Competitors at the 2015 African Games American expatriate basketball people in Montenegro American sportspeople of Nigerian descent African-American basketball players
https://en.wikipedia.org/wiki/Asley
Asley is both a surname and a given name. Notable people with the name include: Yasha Asley (born 2002), British mathematics child prodigy Asley González (born 1989), Cuban judoka See also Ashley (given name) Ashley (surname) Astley (name)
https://en.wikipedia.org/wiki/Infinite-order%20hexagonal%20tiling
In 2-dimensional hyperbolic geometry, the infinite-order hexagonal tiling is a regular tiling. It has Schläfli symbol of {6,∞}. All vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection. Symmetry There is a half symmetry form, , seen with alternating colors: Related polyhedra and tiling This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (6n). See also Hexagonal tiling Uniform tilings in hyperbolic plane List of regular polytopes References External links Hyperbolic and Spherical Tiling Gallery Hyperbolic tilings Infinite-order tilings Isogonal tilings Isohedral tilings Hexagonal tilings Regular tilings
https://en.wikipedia.org/wiki/Order-6%20apeirogonal%20tiling
In geometry, the order-6 apeirogonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {∞,6}. Symmetry The dual to this tiling represents the fundamental domains of [∞,6*] symmetry, orbifold notation *∞∞∞∞∞∞ symmetry, a hexagonal domain with five ideal vertices. The order-6 apeirogonal tiling can be uniformly colored with 6 colored apeirogons around each vertex, and coxeter diagram: , except ultraparallel branches on the diagonals. Related polyhedra and tiling This tiling is also topologically related as a part of sequence of regular polyhedra and tilings with six faces per vertex, starting with the triangular tiling, with Schläfli symbol {n,6}, and Coxeter diagram , with n progressing to infinity. See also Tilings of regular polygons List of uniform planar tilings List of regular polytopes References John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations) External links Hyperbolic and Spherical Tiling Gallery KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings Hyperbolic Planar Tessellations, Don Hatch Apeirogonal tilings Hyperbolic tilings Isogonal tilings Isohedral tilings Order-6 tilings Regular tilings
https://en.wikipedia.org/wiki/Order-4-3%20pentagonal%20honeycomb
In the geometry of hyperbolic 3-space, the order-4-3 pentagonal honeycomb or 5,4,3 honeycomb is a regular space-filling tessellation (or honeycomb). Each infinite cell is an order-4 pentagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. Geometry The Schläfli symbol of the order-4-3 pentagonal honeycomb is {5,4,3}, with three order-4 pentagonal tilings meeting at each edge. The vertex figure of this honeycomb is a cube, {4,3}. Related polytopes and honeycombs It is a part of a series of regular polytopes and honeycombs with {p,4,3} Schläfli symbol, and tetrahedral vertex figures: Order-4-3 hexagonal honeycomb In the geometry of hyperbolic 3-space, the order-4-3 hexagonal honeycomb or 6,4,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-4 hexagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-4-3 hexagonal honeycomb is {6,4,3}, with three order-4 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a cube, {4,3}. Order-4-3 heptagonal honeycomb In the geometry of hyperbolic 3-space, the order-4-3 heptagonal honeycomb or 7,4,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-4 heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-4-3 heptagonal honeycomb is {7,4,3}, with three order-4 heptagonal tilings meeting at each edge. The vertex figure of this honeycomb is a cube, {4,3}. Order-4-3 octagonal honeycomb In the geometry of hyperbolic 3-space, the order-4-3 octagonal honeycomb or 8,4,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-4 octagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-4-3 octagonal honeycomb is {8,4,3}, with three order-4 octagonal tilings meeting at each edge. The vertex figure of this honeycomb is a cube, {4,3}. Order-4-3 apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-4-3 apeirogonal honeycomb or ∞,4,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an apeirogonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the apeirogonal tiling honeycomb is {∞,4,3}, with three apeirogonal tilings meeting at each edge. The vertex figure of this honeycomb is a cube, {4,3}. The "ideal surface" projection below is a plane-at-infinity, in the Poincaré half-space model of H3. It shows an Apollonian gasket pattern of circles inside a largest circle. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes References Coxeter, Regular Polyt
https://en.wikipedia.org/wiki/Order-4-4%20pentagonal%20honeycomb
In the geometry of hyperbolic 3-space, the order-4-4 pentagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a pentagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. Geometry The Schläfli symbol of the order-4-4 pentagonal honeycomb is {5,4,4}, with four order-4 pentagonal tilings meeting at each edge. The vertex figure of this honeycomb is a square tiling, {4,4}. Related polytopes and honeycombs It is a part of a series of regular polytopes and honeycombs with {p,4,4} Schläfli symbol, and square tiling vertex figures: Order-4-4 hexagonal honeycomb In the geometry of hyperbolic 3-space, the order-4-4 hexagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-4 hexagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the octagonal tiling honeycomb is {6,4,4}, with three octagonal tilings meeting at each edge. The vertex figure of this honeycomb is a square tiling, {4,4}. Order-4-4 apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-4-4 apeirogonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-4 apeirogonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the apeirogonal tiling honeycomb is {∞,4,4}, with three order-4 apeirogonal tilings meeting at each edge. The vertex figure of this honeycomb is a square tiling, {4,4}. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Hao Chen, Jean-Philippe Labbé, Lorentzian Coxeter groups and Boyd-Maxwell ball packings, (2013) Visualizing Hyperbolic Honeycombs arXiv:1511.02851 Roice Nelson, Henry Segerman (2015) External links John Baez, Visual insights: {7,3,3} Honeycomb (2014/08/01) {7,3,3} Honeycomb Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. Honeycombs (geometry) Pentagonal tilings Isogonal 3-honeycombs Isochoric 3-honeycombs Order-4-n 3-honeycombs Order-n-4 3-honeycombs Regular 3-honeycombs
https://en.wikipedia.org/wiki/Order-5-3%20square%20honeycomb
In the geometry of hyperbolic 3-space, the order-5-3 square honeycomb or 4,5,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a pentagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. Geometry The Schläfli symbol of the order-5-3 square honeycomb is {4,5,3}, with three order-4 pentagonal tilings meeting at each edge. The vertex figure of this honeycomb is a dodecahedron, {5,3}. Related polytopes and honeycombs It is a part of a series of regular polytopes and honeycombs with {p,5,3} Schläfli symbol, and dodecahedral vertex figures: Order-5-3 pentagonal honeycomb In the geometry of hyperbolic 3-space, the order-5-3 pentagonal honeycomb or 5,5,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-5 pentagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-5-3 pentagonal honeycomb is {5,5,3}, with three order-5 pentagonal tilings meeting at each edge. The vertex figure of this honeycomb is a dodecahedron, {5,3}. Order-5-3 hexagonal honeycomb In the geometry of hyperbolic 3-space, the order-5-3 hexagonal honeycomb or 6,5,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-5 hexagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-5-3 hexagonal honeycomb is {6,5,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a dodecahedron, {5,3}. Order-5-3 heptagonal honeycomb In the geometry of hyperbolic 3-space, the order-5-3 heptagonal honeycomb or 7,5,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-5 heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-5-3 heptagonal honeycomb is {7,5,3}, with three order-5 heptagonal tilings meeting at each edge. The vertex figure of this honeycomb is a dodecahedron, {5,3}. Order-5-3 octagonal honeycomb In the geometry of hyperbolic 3-space, the order-5-3 octagonal honeycomb or 8,5,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-5 octagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-5-3 octagonal honeycomb is {8,5,3}, with three order-5 octagonal tilings meeting at each edge. The vertex figure of this honeycomb is a dodecahedron, {5,3}. Order-5-3 apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-5-3 apeirogonal honeycomb or ∞,5,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-5 apeirogonal tiling whose vertic
https://en.wikipedia.org/wiki/Rabbit%20Run%20%28Delaware%20River%20tributary%29
Rabbit Run is a tributary of the Delaware River contained wholly within Solebury Township, Bucks County, Pennsylvania. Statistics The Geographic Information System I.D. is 1184568. U.S. Department of the Interior Geological Survey I.D. is 03065. The watershed of Rabbit Run is and it meets its confluence at the Delaware River's 149.45 river mile. Course Rabbit Run rises in Solebury Township from two unnamed ponds adjacent to U.S. Route 202, flowing generally northeast passing through the Pat Livezey Park, meeting its confluence with the Delaware River a short distance south of the bridge carrying U.S. Route 202. Municipalities Bucks County Solebury Township Crossings and Bridges U.S. Route 202 (Lower York Road) Business Route 202 (Lower York Road) Pennsylvania Route 32 (River Road) Lower York Road (business Route 202) U.S. Route 202 (Lower York Road) References Rivers of Bucks County, Pennsylvania Rivers of Pennsylvania Tributaries of the Delaware River
https://en.wikipedia.org/wiki/OFC%20Women%27s%20Nations%20Cup%20records%20and%20statistics
The OFC Women's Nations Cup (previously known as the OFC Women's Championship) is a women's association football tournament for national teams who belong to the Oceania Football Confederation (OFC). It was held every three years from 1983 to 1989. Currently, the tournament is held at irregular intervals. This is a list of records and statistics of the tournament. General statistics by tournament Most tournaments hosted Participating nations Teams reaching the top four Notes </onlyinclude> All-time table Debut of teams Results of host nations Results of defending champions External links OFC official website Records International women's association football competition records and statistics
https://en.wikipedia.org/wiki/Rabbit%20Run%20%28Doe%20Creek%20tributary%29
Rabbit Run is a tributary of Doe Creek in Putnam County, Indiana in the United States. Statistics The Geographic Name Information System I.D. is 441709. References Rivers of Putnam County, Indiana Rivers of Indiana
https://en.wikipedia.org/wiki/Facundo%20Rodr%C3%ADguez%20%28footballer%2C%20born%201995%29
Facundo Rodríguez Calleriza (born 20 August 1995) is a Uruguayan footballer who plays for Boston River. Career Club In August 2017, Rodríguez joined Sandefjord on loan. Career statistics References 1995 births Living people Uruguayan men's footballers Uruguayan expatriate men's footballers Eliteserien players Peñarol players Sud América players Boston River players Sandefjord Fotball players Chacarita Juniors footballers Argentine Primera División players Uruguayan Primera División players Men's association football forwards Expatriate men's footballers in Norway Expatriate men's footballers in Argentina Uruguayan expatriate sportspeople in Norway Uruguayan expatriate sportspeople in Argentina
https://en.wikipedia.org/wiki/Order-4-5%20pentagonal%20honeycomb
In the geometry of hyperbolic 3-space, the order-4-5 pentagonal honeycomb a regular space-filling tessellation (or honeycomb) with Schläfli symbol {5,4,5}. Geometry All vertices are ultra-ideal (existing beyond the ideal boundary) with five order-4 pentagonal tilings existing around each edge and with an order-5 square tiling vertex figure. Related polytopes and honeycombs It a part of a sequence of regular polychora and honeycombs {p,4,p}: Order-4-6 hexagonal honeycomb In the geometry of hyperbolic 3-space, the order-4-6 hexagonal honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {6,3,6}. It has six order-4 hexagonal tilings, {6,4}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many hexagonal tilings existing around each vertex in an order-6 square tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {6,(4,3,4)}, Coxeter diagram, , with alternating types or colors of cells. In Coxeter notation the half symmetry is [6,4,6,1+] = [6,((4,3,4))]. Order-4-infinite apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-4-infinite apeirogonal honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {∞,4,∞}. It has infinitely many order-4 apeirogonal tiling {∞,4} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many hexagonal tilings existing around each vertex in an infinite-order square tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {∞,(4,∞,4)}, Coxeter diagram, , with alternating types or colors of cells. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Hao Chen, Jean-Philippe Labbé, Lorentzian Coxeter groups and Boyd-Maxwell ball packings, (2013) Visualizing Hyperbolic Honeycombs arXiv:1511.02851 Roice Nelson, Henry Segerman (2015) External links John Baez, Visual insights: {5,4,3} Honeycomb (2014/08/01) {5,4,3} Honeycomb Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. Honeycombs (geometry) Pentagonal tilings Infinite-order tilings Isogonal 3-honeycombs Isochoric 3-honeycombs Order-4-n 3-honeycombs Order-n-5 3-honeycombs Regular 3-honeycombs
https://en.wikipedia.org/wiki/Order-5-4%20square%20honeycomb
In the geometry of hyperbolic 3-space, the order-5-4 square honeycomb (or 4,5,4 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli symbol {4,5,4}. Geometry All vertices are ultra-ideal (existing beyond the ideal boundary) with four order-5 square tilings existing around each edge and with an order-4 pentagonal tiling vertex figure. Related polytopes and honeycombs It a part of a sequence of regular polychora and honeycombs {p,5,p}: Order-5-5 pentagonal honeycomb In the geometry of hyperbolic 3-space, the order-5-5 pentagonal honeycomb (or 5,5,5 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli symbol {5,5,5}. All vertices are ultra-ideal (existing beyond the ideal boundary) with five order-5 pentagonal tilings existing around each edge and with an order-5 pentagonal tiling vertex figure. Order-5-6 hexagonal honeycomb In the geometry of hyperbolic 3-space, the order-5-6 hexagonal honeycomb (or 6,5,6 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {6,5,6}. It has six order-5 hexagonal tilings, {6,5}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many hexagonal tilings existing around each vertex in an order-6 pentagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {6,(5,3,5)}, Coxeter diagram, , with alternating types or colors of cells. In Coxeter notation the half symmetry is [6,5,6,1+] = [6,((5,3,5))]. Order-5-7 heptagonal honeycomb In the geometry of hyperbolic 3-space, the order-5-7 heptagonal honeycomb (or 7,5,7 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {7,5,7}. It has seven order-5 heptagonal tilings, {7,5}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many heptagonal tilings existing around each vertex in an order-7 pentagonal tiling vertex arrangement. Order-5-infinite apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-5-infinite apeirogonal honeycomb (or ∞,5,∞ honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {∞,5,∞}. It has infinitely many order-5 apeirogonal tilings {∞,5} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-5 apeirogonal tilings existing around each vertex in an infinite-order pentagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {∞,(5,∞,5)}, Coxeter diagram, , with alternating types or colors of cells. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10,
https://en.wikipedia.org/wiki/Ashleigh%20Barty%20career%20statistics
This is a list of the main career statistics of professional Australian tennis player Ashleigh Barty. She has won 15 singles and 12 doubles titles on the WTA Tour, including three Grand Slam titles in singles and one in doubles, and finished as the year-end world No. 1 in singles in 2019, 2020 and 2021. Performance timelines Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records. Singles Doubles Current after the 2022 Qatar Open. Mixed doubles Grand Slam tournament finals Barty has won three Grand Slam titles in singles and one in doubles. Singles: 3 (3 titles) Doubles: 6 (1 title, 5 runner-ups) Other significant finals Olympic medal finals Mixed doubles: 1 (1 bronze medal) WTA Championships finals Singles: 1 (1 title) WTA Elite Trophy Singles: 1 (1 title) WTA 1000 finals Singles: 6 (3 titles, 3 runner-ups) Doubles: 4 (4 titles) WTA career finals Barty has won fifteen singles and twelve doubles titles in the WTA Tour, including at least one on each major surface (hard, clay and grass) in both disciplines. Singles: 21 (15 titles, 6 runner-ups) Doubles: 21 (12 titles, 9 runner-ups) ITF Circuit finals Barty has won four singles and nine doubles titles on the ITF Women's World Tennis Tour. Singles: 6 (4 titles, 2 runner–ups) Doubles: 11 (9 titles, 2 runner–ups) Junior Grand Slam finals Singles: 1 (1 title) Billie Jean King Cup/Fed Cup participation Barty first represented Australia at the Fed Cup in 2013, and helped her country reach the final in 2019. Singles: 13 (11–2) Doubles: 9 (7–2) WTA Tour career earnings Correct as of 21 March 2022 Career Grand Slam tournament statistics Best Grand Slam tournament results details Grand Slam winners are in boldface, and runner-ups are in italics. Career Grand Slam tournament seedings The tournaments won by Barty are in boldface, and advanced into finals by Barty are in italics. Rivalries Barty vs. Kvitová List of all matches Barty and Petra Kvitová have met ten times, with the head-to-head currently tied 5–5. They first met in 2012 at the French Open where, in her second Grand Slam main draw appearance, Barty was defeated in straight sets. The pair's next clash came more than five years later, in 2017, in the final of Birmingham where Kvitová came back from a set down to claim the title, before replicating a similar victory in the Sydney final in 2019. They met once more two weeks later in the quarterfinals of the Australian Open where Kvitová moved past Barty in straight sets. Barty then went on to record her first win two months later in the quarterfinals of the Miami Open. She then recorded a further three consecutive victories – in the quarterfinals of the 2019 China Open, in the round-robin stage of the 2019 WTA Finals, and in the quarterfinals of the 2020 Australian Open, the latter two in straight sets. Nonetheless, Kvitová snapped her losing streak in the semifinals of the Qatar Ope
https://en.wikipedia.org/wiki/CS%20Pandurii%20T%C3%A2rgu%20Jiu%20in%20European%20football
This is a list of results and statistics for matches of Romanian football club Pandurii Târgu Jiu on the European level. Total statistics Statistics by country Statistics by competition UEFA Europa League External links UEFA website Romanian football clubs in international competitions
https://en.wikipedia.org/wiki/Order-7-3%20triangular%20honeycomb
In the geometry of hyperbolic 3-space, the order-7-3 triangular honeycomb (or 3,7,3 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,7,3}. Geometry It has three order-7 triangular tiling {3,7} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings existing around each vertex in a heptagonal tiling vertex figure. Related polytopes and honeycombs It a part of a sequence of self-dual regular honeycombs: {p,7,p}. It is a part of a sequence of regular honeycombs with order-7 triangular tiling cells: {3,7,p}. It isa part of a sequence of regular honeycombs with heptagonal tiling vertex figures: {p,7,3}. Order-7-4 triangular honeycomb In the geometry of hyperbolic 3-space, the order-7-4 triangular honeycomb (or 3,7,4 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,7,4}. It has four order-7 triangular tilings, {3,7}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-7 triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,71,1}, Coxeter diagram, , with alternating types or colors of order-7 triangular tiling cells. In Coxeter notation the half symmetry is [3,7,4,1+] = [3,71,1]. Order-7-5 triangular honeycomb In the geometry of hyperbolic 3-space, the order-7-3 triangular honeycomb (or 3,7,5 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,7,5}. It has five order-7 triangular tiling, {3,7}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-7 triangular tilings existing around each vertex in an order-5 heptagonal tiling vertex figure. Order-7-6 triangular honeycomb In the geometry of hyperbolic 3-space, the order-7-6 triangular honeycomb (or 3,7,6 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,7,6}. It has infinitely many order-7 triangular tiling, {3,7}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-7 triangular tilings existing around each vertex in an order-6 heptagonal tiling, {7,6}, vertex figure. Order-7-infinite triangular honeycomb In the geometry of hyperbolic 3-space, the order-7-infinite triangular honeycomb (or 3,7,∞ honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,7,∞}. It has infinitely many order-7 triangular tiling, {3,7}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-7 triangular tilings existing around each vertex in an infinite-order heptagonal tiling, {7,∞}, vertex figure. It has a second construction as a uniform honeycomb, Schläfli symbol {3,(7,∞,7)}, Coxeter diagram, = , with alternati
https://en.wikipedia.org/wiki/Order-8%20pentagonal%20tiling
In geometry, the order-8 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,8}. See also Uniform tilings in hyperbolic plane List of regular polytopes References John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations) External links Hyperbolic and Spherical Tiling Gallery KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings Hyperbolic Planar Tessellations, Don Hatch Hyperbolic tilings Isogonal tilings Isohedral tilings Order-8 tilings Pentagonal tilings Regular tilings
https://en.wikipedia.org/wiki/Nicolas%20Monod
Nicolas Monod is a professor at École Polytechnique Fédérale de Lausanne (EPFL) and known for work on bounded cohomology, ergodic theory, geometry (CAT(0) spaces), locally compact groups and amenability. He was born in Montreux, Switzerland. He obtained his PhD from ETH Zurich in 2001 with thesis "Continuous Bounded Cohomology of Locally Compact Groups" written under the direction of Marc Burger. Career Monod is a Fellow of the American Mathematical Society. He has been awarded the Gauss Lectureship and the Berwick Prize, and was an invited speaker at the International Congress of Mathematicians in 2006. He was one of the youngest Advanced Investigator awardees in the history of the European Research Council. Monod was the president of the Swiss Mathematical Society from 2014 to 2015 and is the director of the Bernoulli Center at EPFL. References Living people Year of birth missing (living people) People from Montreux 21st-century Swiss mathematicians Academic staff of the École Polytechnique Fédérale de Lausanne Fellows of the American Mathematical Society ETH Zurich alumni
https://en.wikipedia.org/wiki/Zero%20degrees%20of%20freedom
In statistics, the non-central chi-squared distribution with zero degrees of freedom can be used in testing the null hypothesis that a sample is from a uniform distribution on the interval (0, 1). This distribution was introduced by Andrew F. Siegel in 1979. The chi-squared distribution with n degrees of freedom is the probability distribution of the sum where However, if and are independent, then the sum of squares above has a non-central chi-squared distribution with n degrees of freedom and "noncentrality parameter" It is trivial that a "central" chi-square distribution with zero degrees of freedom concentrates all probability at zero. All of this leaves open the question of what happens with zero degrees of freedom when the noncentrality parameter is not zero. The noncentral chi-squared distribution with zero degrees of freedom and with noncentrality parameter μ is the distribution of This concentrates probability e−μ/2 at zero; thus it is a mixture of discrete and continuous distributions References Continuous distributions Normal distribution Exponential family distributions Probability distributions Statistical hypothesis testing
https://en.wikipedia.org/wiki/Order-6-3%20square%20honeycomb
In the geometry of hyperbolic 3-space, the order-6-3 square honeycomb or 4,6,3 honeycomb is a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a hexagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. Geometry The Schläfli symbol of the order-6-3 square honeycomb is {4,6,3}, with three order-4 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a hexagonal tiling, {6,3}. Related polytopes and honeycombs It is a part of a series of regular polytopes and honeycombs with {p,6,3} Schläfli symbol, and dodecahedral vertex figures: Order-6-3 pentagonal honeycomb In the geometry of hyperbolic 3-space, the order-6-3 pentagonal honeycomb or 5,6,3 honeycomb is a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-6 pentagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-6-3 pentagonal honeycomb is {5,6,3}, with three order-6 pentagonal tilings meeting at each edge. The vertex figure of this honeycomb is a hexagonal tiling, {6,3}. Order-6-3 hexagonal honeycomb In the geometry of hyperbolic 3-space, the order-6-3 hexagonal honeycomb or 6,6,3 honeycomb is a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-6 hexagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-6-3 hexagonal honeycomb is {6,6,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a hexagonal tiling, {6,3}. Order-6-3 apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-6-3 apeirogonal honeycomb or ∞,6,3 honeycomb is a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-6 apeirogonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the apeirogonal tiling honeycomb is {∞,6,3}, with three order-6 apeirogonal tilings meeting at each edge. The vertex figure of this honeycomb is a hexagonal tiling, {6,3}. The "ideal surface" projection below is a plane-at-infinity, in the Poincaré half-space model of H3. It shows an Apollonian gasket pattern of circles inside a largest circle. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Ha
https://en.wikipedia.org/wiki/Atung%20Bungsu%20Airport
Atung Bungsu Airport () is an international airport serving Pagar Alam, South Sumatra, Indonesia. History Airlines and destinations Statistics Pagar Alam Airports in South Sumatra
https://en.wikipedia.org/wiki/Casio%20Algebra%20FX%20Series
The Casio Algebra FX series was a line of graphing calculators manufactured by Casio Computer Co., Ltd from 1999 to 2003. They were the successor models to the CFX-9970G, the first Casio calculator with computer algebra system, or CAS, a program for symbolic manipulation of mathematical expressions. The calculators were discontinued and succeeded by the Casio ClassPad 300 in 2003. History In 1999, Casio released a graphing calculator Algebra FX 2.0. The modified model Algebra FX 2.0 Plus was released in 2001 with additional functionalities in the financial calculation, statistics, and differential equations. The calculators were designed for usages in the classroom, where target markets were students and educators. They were aimed at helping students learn to solve algebra problems, where step-by-step solutions could be auto-generated. The Algebra FX series was the successor of the CFX-9970G, the first Casio calculator with computer algebra system (CAS) released in 1998. The computer algebra system in the Algebra FX series had been largely improved from the previous model so that more mathematical functions were added. The Casio's CAS was mainly developed by its R&D team and Professor John Kenelly of Clemson University. The calculators were sold to different parts of the world. Casio had used different product names in France, following their French predecessors. The Graph 100 and the Graph 100+ were respectively the Algebra FX 2.0 and the Algebra FX 2.0 Plus. The Algebra FX 2.0 Plus was discontinued in 2003 and succeeded by the Casio ClassPad series, where the calculators have stylus-based touch screens. However, the Graph 100+ was continued to be sold in France until 2015, a time when Casio removed the product from its website. Specifications Power and Dimension The calculators are powered by four AAA batteries used for primary power. It also uses one lithium battery CR2032 for a memory backup when the primary power is down. All program memories will be deleted if both primary power and memory backup power are removed or down. The calculators consume power at the rate of 0.2 W. Based on the manufacturer's data sheet, zinc-carbon R03 AAA batteries and alkaline LR03 batteries can supply power for 140 hours and 230 hours for continuous display of main menu. The back-up battery can operate for about two years. The calculators weigh about 213 grams including batteries. Their dimensions are 19.5 mm (H) × 82 mm (W) × 178 mm (D). Display and Keyboard The Algebra FX 2.0 series incorporates a black-and-white LCD Dot-Matrix display with a graphic resolution of 128 by 64 pixels. The calculators can display up to 21 characters on each of their 8 display lines. The main menu consists of icons referring to different operating modes and applications. Inside each mode, the bottom line is reserved for up to 6 function key menu tips, which can be selected from buttons F1 to F6 on the calculator's keyboard. The display's contrast can be adjusted from a
https://en.wikipedia.org/wiki/Order-6-4%20square%20honeycomb
In the geometry of hyperbolic 3-space, the order-6-4 square honeycomb (or 4,6,4 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli symbol {4,6,4}. Geometry All vertices are ultra-ideal (existing beyond the ideal boundary) with four order-6 square tilings existing around each edge and with an order-4 hexagonal tiling vertex figure. Related polytopes and honeycombs It a part of a sequence of regular polychora and honeycombs {p,6,p}: Order-6-5 hexagonal honeycomb In the geometry of hyperbolic 3-space, the order-6-5 pentagonal honeycomb (or 5,6,5 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli symbol {5,6,5}. All vertices are ultra-ideal (existing beyond the ideal boundary) with five order-6 pentagonal tilings existing around each edge and with an order-5 hexagonal tiling vertex figure. Order-6-6 hexagonal honeycomb In the geometry of hyperbolic 3-space, the order-6-6 hexagonal honeycomb (or 6,6,6 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {6,6,6}. It has six order-6 hexagonal tilings, {6,6}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many hexagonal tilings existing around each vertex in an order-6 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {6,(6,3,6)}, Coxeter diagram, , with alternating types or colors of cells. In Coxeter notation the half symmetry is [6,6,6,1+] = [6,((6,3,6))]. Order-6-infinite apeirogonal honeycomb In the geometry of hyperbolic 3-space, the order-6-infinite apeirogonal honeycomb (or ∞,6,∞ honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {∞,6,∞}. It has infinitely many order-6 apeirogonal tiling {∞,6} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-6 apeirogonal tilings existing around each vertex in an infinite-order square tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {∞,(6,∞,6)}, Coxeter diagram, , with alternating types or colors of cells. See also Convex uniform honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb References Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) The Beauty of Geometry: Twelve Essays (1999), Dover Publications, , (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III Jeffrey R. Weeks The Shape of Space, 2nd edition (Chapters 16–17: Geometries on Three-manifolds I,II) George Maxwell, Sphere Packings and Hyperbolic Reflection Groups, JOURNAL OF ALGEBRA 79,78-97 (1982) Hao Chen, Jean-Philippe Labbé, Lorentzian Coxeter groups and Boyd-Maxwell ball packings, (2013) Visualizing Hyperbolic Honeycombs arXiv:1511.02851 Roice Nelson, Henry Segerman (2015) External links John Baez, Visu
https://en.wikipedia.org/wiki/Order-8-3%20triangular%20honeycomb
In the geometry of hyperbolic 3-space, the order-8-3 triangular honeycomb (or 3,8,3 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,8,3}. Geometry It has three order-8 triangular tiling {3,8} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings existing around each vertex in an octagonal tiling vertex figure. Related polytopes and honeycombs It is a part of a sequence of regular honeycombs with order-8 triangular tiling cells: {3,8,p}. It is a part of a sequence of regular honeycombs with octagonal tiling vertex figures: {p,8,3}. It is a part of a sequence of self-dual regular honeycombs: {p,8,p}. Order-8-4 triangular honeycomb In the geometry of hyperbolic 3-space, the order-8-4 triangular honeycomb (or 3,8,4 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,8,4}. It has four order-8 triangular tilings, {3,8}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-8 triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,81,1}, Coxeter diagram, , with alternating types or colors of order-8 triangular tiling cells. In Coxeter notation the half symmetry is [3,8,4,1+] = [3,81,1]. Order-8-5 triangular honeycomb In the geometry of hyperbolic 3-space, the order-8-3 triangular honeycomb (or 3,8,5 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,8,5}. It has five order-8 triangular tiling, {3,8}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-8 triangular tilings existing around each vertex in an order-5 octagonal tiling vertex figure. Order-8-6 triangular honeycomb In the geometry of hyperbolic 3-space, the order-8-6 triangular honeycomb (or 3,8,6 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,8,6}. It has infinitely many order-8 triangular tiling, {3,8}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-8 triangular tilings existing around each vertex in an order-6 octagonal tiling, {8,6}, vertex figure. Order-8-infinite triangular honeycomb In the geometry of hyperbolic 3-space, the order-8-infinite triangular honeycomb (or 3,8,∞ honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,8,∞}. It has infinitely many order-8 triangular tiling, {3,8}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-8 triangular tilings existing around each vertex in an infinite-order octagonal tiling, {8,∞}, vertex figure. It has a second construction as a uniform honeycomb, Schläfli symbol {3,(8,∞,8)}, Coxeter diagram, = , with alternati
https://en.wikipedia.org/wiki/Order-infinite-3%20triangular%20honeycomb
In the geometry of hyperbolic 3-space, the order-infinite-3 triangular honeycomb (or 3,∞,3 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,∞,3}. Geometry It has three Infinite-order triangular tiling {3,∞} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings existing around each vertex in an order-3 apeirogonal tiling vertex figure. Related polytopes and honeycombs It is a part of a sequence of regular honeycombs with Infinite-order triangular tiling cells: {3,∞,p}. It is a part of a sequence of regular honeycombs with order-3 apeirogonal tiling vertex figures: {p,∞,3}. It is a part of a sequence of self-dual regular honeycombs: {p,∞,p}. Order-infinite-4 triangular honeycomb In the geometry of hyperbolic 3-space, the order-infinite-4 triangular honeycomb (or 3,∞,4 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,∞,4}. It has four infinite-order triangular tilings, {3,∞}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many infinite-order triangular tilings existing around each vertex in an order-4 apeirogonal tiling vertex figure. It has a second construction as a uniform honeycomb, Schläfli symbol {3,∞1,1}, Coxeter diagram, , with alternating types or colors of infinite-order triangular tiling cells. In Coxeter notation the half symmetry is [3,∞,4,1+] = [3,∞1,1]. Order-infinite-5 triangular honeycomb In the geometry of hyperbolic 3-space, the order-infinite-3 triangular honeycomb (or 3,∞,5 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,∞,5}. It has five infinite-order triangular tiling, {3,∞}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many infinite-order triangular tilings existing around each vertex in an order-5 apeirogonal tiling vertex figure. Order-infinite-6 triangular honeycomb In the geometry of hyperbolic 3-space, the order-infinite-6 triangular honeycomb (or 3,∞,6 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,∞,6}. It has infinitely many infinite-order triangular tiling, {3,∞}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many infinite-order triangular tilings existing around each vertex in an order-6 apeirogonal tiling, {∞,6}, vertex figure. Order-infinite-7 triangular honeycomb In the geometry of hyperbolic 3-space, the order-infinite-7 triangular honeycomb (or 3,∞,6 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,∞,7}. It has infinitely many infinite-order triangular tiling, {3,∞}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many infinite-order triangular tilings existing around each vertex in an order-7 apeirogonal tiling
https://en.wikipedia.org/wiki/Chantal%20David
Chantal David (born 1964) is a French Canadian mathematician who works as a professor of mathematics at Concordia University. Her interests include analytic number theory, arithmetic statistics, and random matrix theory, and she has shown interest in elliptic curves and Drinfeld modules. She is the 2013 winner of the Krieger–Nelson Prize, given annually by the Canadian Mathematical Society to an outstanding female researcher in mathematics. Education and career David completed her doctorate in mathematics in 1993 at McGill University, under the supervision of Ram Murty. Her thesis was entitled Supersingular Drinfeld Modules. In the same year, she joined the faculty at Concordia University. She became the deputy director of the Centre de Recherches Mathématiques in 2004. In 2008, David was an invited professor at Université Henri Poincaré. She spent September 2009 through April 2010 at the Institute for Advanced Study. From January through May 2017, she co-organized a program on analytic number theory at the Mathematical Sciences Research Institute. Research In 1999, David published a paper with Francesco Pappalardi which proved that the Lang–Trotter conjecture holds in most cases. She has shown that for several families of curves over finite fields, the zeroes of zeta functions are compatible with the Katz–Sarnak conjectures. She has also used random matrix theory to study the zeroes in families of elliptic curves. David and her collaborators have exhibited a new Cohen–Lenstra phenomenon for the group of points of elliptic curves over finite fields. Awards and honors David was awarded the Krieger-Nelson Prize by the Canadian Mathematical Society in 2013. References External links 1964 births Place of birth missing (living people) Living people Canadian mathematicians Women mathematicians 21st-century Canadian women scientists Academic staff of Concordia University McGill University Faculty of Science alumni Number theorists French mathematicians
https://en.wikipedia.org/wiki/Michael%20Burton%20%28psychologist%29
Michael Burton FBA is an English psychologist and professor at the Department of Psychology at University of York. Early life and education He earned his bachelor's degree in Mathematics and Psychology in 1980 and his Doctorate in Psychology at University of Nottingham in 1983. Research His primary research interest is in face perception and identification using experimental and computational modelling approaches. He has published over 100 papers in peer-reviewed journals. He was elected as a Fellow of the British Academy (FBA) in 2017. References Year of birth missing (living people) Living people Alumni of the University of Nottingham Academics of the University of York English psychologists Fellows of the British Academy
https://en.wikipedia.org/wiki/Armenis%20Kukaj
Armenis Kukaj (born 11 August 1997) is an Albanian professional footballer who plays as a defender for Albanian club KF Besa Kavajë. Career statistics Club References 1997 births Living people People from Malësi e Madhe Albanian men's footballers Men's association football defenders Albania men's youth international footballers Albania men's under-21 international footballers KF Vllaznia Shkodër players KF Luftëtari players KF Bylis players KF Besa Kavajë players Kategoria e Dytë players Kategoria e Parë players Kategoria Superiore players