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https://en.wikipedia.org/wiki/Newman%27s%20conjecture | In mathematics, specifically in number theory, Newman's conjecture is a conjecture about the behavior of the partition function modulo any integer. Specifically, it states that for any integers and such that , the value of the partition function satisfies the congruence for infinitely many non-negative integers . It was formulated by mathematician Morris Newman in 1960. It is unsolved as of 2020.
History
Oddmund Kolberg was probably the first to prove a related result, namely that the partition function takes both even and odd values infinitely often. The proof employed was of elementary nature and easily accessible, and was proposed as an exercise by Newman in the American Mathematical Monthly.
1 year later, in 1960, Newman proposed the conjecture and proved the cases m=5 and 13 in his original paper, and m=65 two years later.
Ken Ono, an American mathematician, made further advances by exhibiting sufficient conditions for the conjecture to hold for prime . He first showed that Newman's conjecture holds for prime if for each between 0 and , there exists a nonnegative integer such that the following holds:
He used the result, together with a computer program, to prove the conjecture for all primes less than 1000 (except 3). Ahlgren expanded on his result to show that Ono's condition is, in fact, true for all composite numbers coprime to 6.
Three years later, Ono showed that for every prime greater than 3, one of the following must hold:
Newman's conjecture holds for , or
for all nonnegative integers , and .
Using computer technology, he proved the theorem for all primes less than 200,000 (except 3).
Afterwards, Ahlgren and Boylan used Ono's criterion to extend Newman's conjecture to all primes except possibly 3. 2 years afterwards, they extended their result to all prime powers except powers of 2 or 3.
Partial progress and solved cases
The weaker statement that has at least 1 solution has been proved for all . It was formerly known as the Erdős–Ivić conjecture, named after mathematicians Paul Erdős and . It was settled by Ken Ono.
References
Unsolved problems in number theory
Analytic number theory |
https://en.wikipedia.org/wiki/Robert%20Henry%20Risch | Robert Henry Risch (born 1939) is an American mathematician who worked on computer algebra and is known for his work on symbolic integration, specifically the Risch algorithm. This result was quoted as a milestone in the development of mathematics:
He is also known for results on algebraic properties of elementary functions. He received his PhD from University of California, Berkeley in 1968 under the supervision of Maxwell A. Rosenlicht. After his PhD, he worked at the Thomas J. Watson Research Center Mathematics of AI group and, between 1970 and 1972, the Institute for Advanced Study.
References
1939 births
living people
20th-century American mathematicians
University of California, Berkeley alumni
American computer scientists
IBM Research computer scientists
Institute for Advanced Study faculty |
https://en.wikipedia.org/wiki/Anthony%20Bouthier | Anthony Bouthier (born 16 June 1992) is a French professional rugby union player who plays as a fullback for Top 14 club Montpellier and the France national team.
Career statistics
List of international tries
References
External links
Montpellier profile
1992 births
Living people
Sportspeople from Landes (department)
Rugby union players from Nouvelle-Aquitaine
French rugby union players
France international rugby union players
Rugby union fullbacks
US Dax players
Rugby Club Vannes players
Montpellier Hérault Rugby players |
https://en.wikipedia.org/wiki/Minerva%20between%20Geometry%20and%20Arithmetic | Minerva between Geometry and Arithmetic is a 1550 fresco fragment, usually attributed to Paolo Veronese but by some art historians to Anselmo Canera or Giambattista Zelotti. It was painted for the Palazzo de Soranzi in Castelfranco Veneto but now in the Palazzo Balbi in Venice.
The decorative scheme at the Palazzo de Soranzi was designed by Michele Sanmicheli for the Venetian patrician Piero Soranzo. He took on young painters from Verona to paint the frescoes in the four side-rooms, the main hall and the atrium – these included Giovanni Battista Zelotti, Anselmo Canera and Bernardino India, as well as Veronese. The numbers on Arithmetic's abacus may refer to those hidden by her hand (i.e. 1+2+5+6+9), the latter totalling 23, argued by some to symbolise either Veronese's age at the time or the year of Piero Soranzo and Francesca Emo's marriage, 1523. Others argue that the visible numbers on the abacus (3+4+7+8+10, totalling 32) refer to the length of Soranzo and Emo's had been married at the time they built the palazzo (i.e. 1550).
The Palazzo was completely demolished in 1817 on the orders of Francesco Maria Barbaro, its last owner. At the instigation of Giovanni (John) Vendramini from Bassano, the painter, chemist and mechanic Filippo Balbi removed some of the frescoes from the walls using a new technique and sold most of them to Vendramini himself, who was a London art dealer, lithographer and heir to his Portuguese father-in-law's fortune. Other fragments were donated to Castelfranco Veneto's cathedral and the Venice Seminary and sold to private collectors. An 1817 letter by Padre Barisan refers to 156 fragments being saved, though British and Italian newspapers of the time instead suggest 108, of which more than 60 went to London.
With several others from the Palazzo de Soranzi, the fragment showing Minerva appeared in a Maddox Street Galleries catalogue of 1826 as "Minerva between Mensuration and Calculation". The following year Vendramini produced a print of it entitled THE BELLONA. From The FRESCO PAINTING BY PAUL VERONESE. One of the Series removed from the Walls of the Soranza Palace, and brought to England by M. Vendramini. The Regione Veneto acquired the fragment on the art market in 2002 after being sold three times in the previous hundred years
Bibliography
Exhibition of Paintings in Fresco, by Paul Veronese. Brought from The Soranza Palace, in the Venetian Territory, Now on View, At The Gallery, Maddox-Street, Hanover-Square, Opposite St. Georges Church. London: Printed by Thomas Pavison, Whitefriars. 1826
Angelo Miatello, "The Bellona. From Painting by Paul Veronse", Castelfranco Veneto, 2014, pp. 133 ()
Gisolfi D., “I rapporti di Paolo con l'ambiente artistico veronese negli anni della Soranza”, ibid., p. 94 ss.;
Gisolfi Pechukas D., “Veronese and his collaborators, at la Soranza”, Artibus et Historiae, 15, 1987, pp. 67–108:
AA. VV., Veronese, Miti, ritratti, allegorie, Pedrocco F., Opere, Milano, 2005, p. 55 ss.
AA |
https://en.wikipedia.org/wiki/Jown%20Cardona | Jown Anderson Cardona Agudelo (born 9 January 1995) is a Colombian footballer who plays as a midfielder for Deportivo Pasto.
Career statistics
References
External links
1995 births
Living people
Colombian men's footballers
Colombian expatriate men's footballers
Men's association football midfielders
Footballers from Valle del Cauca Department
Deportivo Cali footballers
Cortuluá footballers
Ceará Sporting Club players
Deportivo Pasto footballers
Club León footballers
Once Caldas footballers
Guangzhou City F.C. players
Categoría Primera A players
Liga MX players
Campeonato Brasileiro Série A players
Chinese Super League players
Colombian expatriate sportspeople in Brazil
Colombian expatriate sportspeople in Mexico
Colombian expatriate sportspeople in China
Expatriate men's footballers in Brazil
Expatriate men's footballers in Mexico
Expatriate men's footballers in China |
https://en.wikipedia.org/wiki/Pauline%20Mellon | Pauline E. Mellon is an Irish mathematician who works as a professor of mathematics at University College Dublin. Her research specialties include functional analysis, the theory of Banach spaces, and the symmetries of manifolds. From 2019 to 2020 she was president of the Irish Mathematical Society and has been a member of the Royal Irish Academy's Physical, Chemical and Mathematical Sciences committee.
Mellon was born in Avoca, County Wicklow. She did her undergraduate studies at University College Dublin, and performed research both at the University of Tübingen and at University College Dublin as part of her graduate studies. Her 1990 dissertation, Symmetric Banach Manifolds, was supervised by Seán Dineen. She taught at St Patrick's College, Maynooth before returning to University College Dublin as a lecturer in 1991.
References
Year of birth missing (living people)
Living people
Irish women mathematicians
Alumni of University College Dublin
Academics of St Patrick's College, Maynooth
Academics of University College Dublin
Scientists from County Wicklow
20th-century Irish mathematicians
21st-century Irish mathematicians
Scholars and academics from County Wicklow |
https://en.wikipedia.org/wiki/Trey%20Harrington | Trey Harrington (born November 26, 1970) is a former American soccer player who played for the Colorado Foxes in the A-League.
Career statistics
Club
Notes
References
1970 births
Living people
American men's soccer players
United States men's under-23 international soccer players
Men's association football goalkeepers
Wichita Wings players
Detroit Rockers players
Colorado Foxes players
National Professional Soccer League (1984–2001) players
A-League (1995–2004) players |
https://en.wikipedia.org/wiki/Miguel%20Bruno | Miguel Bruno Pereira Cardoso (born 8 December 1971) is a former Portuguese professional footballer.
Career statistics
Club
References
External links
1971 births
Living people
People from Ovar
Portuguese men's footballers
Portugal men's youth international footballers
Portugal men's under-21 international footballers
Men's association football forwards
C.D. Feirense players
FC Porto players
A.D. Ovarense players
F.C. Paços de Ferreira players
S.C. Beira-Mar players
C.F. Os Belenenses players
Gil Vicente F.C. players
S.C. Salgueiros players
Académica de Coimbra (football) players
S.C. Espinho players
Varzim S.C. players
Segunda Divisão players
Liga Portugal 2 players
Primeira Liga players
Footballers from Aveiro District |
https://en.wikipedia.org/wiki/Ma%20Yongkang | Ma Yongkang (; born 9 March 1977) is a former Chinese footballer who played as a defender, being capped once for the China national football team.
Career statistics
Club
Notes
International
References
1977 births
Living people
Chinese men's footballers
China men's under-21 international footballers
China men's international footballers
Men's association football defenders
Qingdao Hainiu F.C. (1990) players
Chinese Super League players
Asian Games medalists in football
Footballers at the 1998 Asian Games
Asian Games bronze medalists for China
Medalists at the 1998 Asian Games |
https://en.wikipedia.org/wiki/Chi%20Rongliang | Chi Rongliang (; born 9 January 1978) is a former Chinese footballer who played as a midfielder for the China national football team.
Career statistics
Club
Notes
International
References
1978 births
Living people
Chinese men's footballers
China men's international footballers
Men's association football midfielders
Tianjin Jinmen Tiger F.C. players
Chinese Super League players
Asian Games medalists in football
Footballers at the 1998 Asian Games
Asian Games bronze medalists for China
Medalists at the 1998 Asian Games |
https://en.wikipedia.org/wiki/Sally%20McClean | Sally Ida McClean is a Northern Irish statistician, computer scientist, and operations researcher. She is a professor of mathematics in the school of computing at Ulster University, and a former president of the Irish Statistical Association. Topics in her research include workforce modeling, health administration, interactive architecture, and survey methodology.
Education
McClean was born in Belfast. She earned an MA in mathematics from the University of Oxford in 1970 and an MSc in mathematical statistics and operations research from Cardiff University in 1972. She completed a Ph.D. in 1976 at the Ulster University at Coleraine. Her dissertation, Stochastic models of manpower planning applied to several British and Irish firms, was supervised by Andrew Young.
Books
McClean's books include:
Statistical techniques for manpower planning (2nd ed., with David J. Bartholomew and Andrew F. Forbes, Wiley, 1991)
Questionnaire design: A practical introduction (with Noel Wilson, University of Ulster Press, 1994)
Recognition and service
McClean is a Fellow of the Royal Statistical Society, and Fellow of the Operational Research Society. She was the second president of the Irish Statistical Association, serving as president from 1998 to 2000.
References
External links
Year of birth missing (living people)
Living people
Statisticians from Northern Ireland
Women statisticians
Computer scientists from Northern Ireland
Women computer scientists from Northern Ireland
Alumni of Queen's University Belfast
Alumni of the University of Oxford
Alumni of Cardiff University
Alumni of Ulster University
Academics of Ulster University
Women mathematicians from Northern Ireland |
https://en.wikipedia.org/wiki/Irish%20Statistical%20Association | The Irish Statistical Association is a learned society which describes itself as "Ireland's primary professional association devoted to the interests of statistics and statisticians".
It was established in 1997, as an outgrowth on the annual Conference on Applied Statistics in Ireland (itself established in 1981), in order to better educate the public about statistics and its applications in society. As well as sponsoring the conference, it organises presentations, exhibits, and prizes regarding statistics at the annual Irish Young Scientist's Exhibition.
It operates as an all-Ireland body. In 2001 it began selecting honorary members, naming Garret FitzGerald as its first such member.
Together with the Statistical and Social Inquiry Society of Ireland, the Irish Statistical Association is one of two Irish statistical organisations recognised by the International Statistical Institute.
The president of the association for 2019–2020 is Kathleen O'Sullivan.
Past presidents have included Phil Boland (1997–1998), Sally McClean (1998–2000), Dennis Connife (2000–2002), John Haslett (2002–2004), Gilbert MacKenzie (2004–2006), John Hinde (2006–2008), John Connolly (2008–2010), Adele Marshall (2010–2012), John Newell (2012–2014), Brendan Murphy (2014–2016), and Gabrielle Kelly (2016–2019).
References
All-Ireland organisations
Learned societies of Ireland
Statistical societies |
https://en.wikipedia.org/wiki/Idekel%20Dom%C3%ADnguez | Idekel Alberto Domínguez Rodríguez (born 2 June 2000) is a Mexican professional footballer who plays as a right-back for Liga MX club Atlas.
Career statistics
Club
References
External links
Living people
2000 births
Mexican men's footballers
Men's association football defenders
Club Universidad Nacional footballers
Liga MX players
Liga Premier de México players
Tercera División de México players |
https://en.wikipedia.org/wiki/Jerome%20Boylan | Jerome Boylan (born 19 June 1992) is an Irish hurler who plays for Limerick Senior Championship club Na Piarsaigh and at inter-county level with the Limerick senior hurling team.
Career statistics
Honours
Ardscoil Rís
Dr Harty Cup (2): 2016, 2018
Na Piarsaigh
Munster Senior Club Hurling Championship (1): 2017
Limerick Senior Hurling Championship (2): 2017, 2020
Limerick
All-Ireland Senior Hurling Championship (1): 2020
Munster Senior Hurling Championship (1): 2020
National Hurling League (1): 2020
References
External links
Jerome Boylan profile at the Na Piarsaigh GAA site
1992 births
Living people
Limerick inter-county hurlers
Na Piarsaigh (Limerick) hurlers |
https://en.wikipedia.org/wiki/Edwin%20Herrera | Edwin Alberto Herrera Hernandez (born 2 September 1998) is a Colombian footballer who plays as a right or left back for Atlético Junior.
Career statistics
Club
Notes
References
1998 births
Living people
Colombian men's footballers
Colombian expatriate men's footballers
Men's association football defenders
Independiente Santa Fe footballers
F.C. Famalicão players
Atlético Junior footballers
Categoría Primera A players
Primeira Liga players
Colombian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
Footballers from Cartagena, Colombia |
https://en.wikipedia.org/wiki/Willer%20Ditta | Willer Emilio Ditta Pérez (born 23 January 1997) is a Colombian footballer who currently plays as a centre-back for Liga MX club Cruz Azul.
Career statistics
Club
Notes
References
1997 births
Living people
Colombian men's footballers
Colombian expatriate men's footballers
Colombia men's youth international footballers
Men's association football defenders
Barranquilla F.C. footballers
Atlético Junior footballers
Newell's Old Boys footballers
Cruz Azul footballers
Categoría Primera B players
Categoría Primera A players
Argentine Primera División players
Colombian expatriate sportspeople in Argentina
Expatriate men's footballers in Argentina
Sportspeople from Cesar Department
21st-century Colombian people |
https://en.wikipedia.org/wiki/M%C3%A9nder%20Garc%C3%ADa | Ménder García Torres (born 28 October 1998) is a Colombian professional footballer who plays as a forward for Major League Soccer club Minnesota United.
Career statistics
Club
References
1998 births
Living people
Colombian men's footballers
Men's association football forwards
Once Caldas footballers
Categoría Primera A players
Minnesota United FC players
Designated Players (MLS)
Major League Soccer players |
https://en.wikipedia.org/wiki/Jean%20Fuentes | Jean Franco Alexi Fuentes Velasco (born 7 February 1997) is a Venezuelan footballer who plays as a defender for Metropolitanos.
Career statistics
Club
Notes
References
1997 births
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Men's association football defenders
Deportivo La Guaira players
Venezuelan Primera División players
21st-century Venezuelan people |
https://en.wikipedia.org/wiki/Cristhian%20Rivas | Cristhian Yonaiker Rivas Vielma (born 20 January 1997) is a Venezuelan footballer who plays as a midfielder of Monagas SC.
Career statistics
Club
Notes
References
1997 births
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Men's association football midfielders
Estudiantes de Mérida players
Venezuelan Primera División players
Cuiabá Esporte Clube players
Venezuelan expatriate men's footballers
Venezuelan expatriate sportspeople in Brazil
Expatriate men's footballers in Brazil
Sportspeople from Mérida, Mérida
21st-century Venezuelan people |
https://en.wikipedia.org/wiki/Jos%C3%A9%20Alejandro%20Rivas | José Alejandro Rivas Gamboa (born September 13, 1998) is a Venezuelan footballer who plays as a striker for Portuguesa Fútbol Club of the Venezuelan Primera División.
Career statistics
Club
Notes
References
1998 births
Living people
Venezuelan men's footballers
Men's association football midfielders
Trujillanos FC players
Estudiantes de Mérida players
Venezuelan Primera División players
People from Valera
21st-century Venezuelan people |
https://en.wikipedia.org/wiki/Jhon%20March%C3%A1n | Jhon Lorens Marchán Cordero (born 2 September 1998) is a Venezuelan footballer who plays as a winger for Metropolitanos.
Career statistics
Club
Notes
References
1998 births
Living people
Venezuelan men's footballers
Venezuelan expatriate men's footballers
Men's association football wingers
People from Acarigua
Sportspeople from Portuguesa (state)
Portuguesa F.C. players
Sporting Cristal footballers
Universidad Técnica de Cajamarca footballers
Venezuelan Primera División players
Peruvian Primera División players
Venezuelan expatriate sportspeople in Peru
Expatriate men's footballers in Peru |
https://en.wikipedia.org/wiki/Wilbert%20Hern%C3%A1ndez | Wilbert Miguel Hernández Torrealba (born 2 March 2001) is a Venezuelan footballer who plays as a goalkeeper for Caracas.
Career statistics
Club
Notes
References
2001 births
Living people
Venezuelan men's footballers
Men's association football goalkeepers
Caracas FC players
Venezuelan Primera División players |
https://en.wikipedia.org/wiki/Maximiliano%20Centuri%C3%B3n | Maximiliano Tomás Centurión (born 20 February 1999) is an Argentine footballer currently playing as a centre-back for Defensores de Belgrano.
Career statistics
Club
Notes
References
1999 births
Living people
Argentine men's footballers
Argentine expatriate men's footballers
Argentina men's youth international footballers
Men's association football defenders
Footballers from Buenos Aires Province
Argentine Primera División players
Uruguayan Primera División players
Primera Nacional players
Argentinos Juniors footballers
Sud América players
Defensores de Belgrano footballers
Argentine expatriate sportspeople in Uruguay
Expatriate men's footballers in Uruguay
Argentina men's under-20 international footballers |
https://en.wikipedia.org/wiki/Jo%C3%ABl%20Beya | Joël Beya Tumetuka (born 8 December 1999) is a Democratic Republic of the Congo footballer who currently plays as a forward for TP Mazembe.
Career statistics
International
International goals
Scores and results list DR Congo's goal tally first.
References
1999 births
Living people
Democratic Republic of the Congo men's footballers
Democratic Republic of the Congo men's international footballers
Men's association football forwards
CS Don Bosco players
TP Mazembe players
21st-century Democratic Republic of the Congo people
Democratic Republic of the Congo men's A' international footballers
2020 African Nations Championship players |
https://en.wikipedia.org/wiki/GOLOG | GOLOG is a high-level logic programming language for the specification and execution of complex actions in dynamical domains. It is based on the situation calculus. It is a first-order logical language for reasoning about action and change. GOLOG was developed at the University of Toronto.
History
The concept of situation calculus on which the GOLOG programming language is based was first proposed by John McCarthy in 1963.
Language
A GOLOG interpreter automatically maintains a direct characterization of the dynamic world being modeled, on the basis of user supplied axioms about preconditions, effects of actions and the initial state of the world. This allows the application to reason about the condition of the world and consider the impacts of different potential actions before focusing on a specific action.
Golog is a logic programming language and is very different from conventional programming languages. A procedural programming language like C defines the execution of statements in advance. The programmer creates a subroutine which consists of statements, and the computer executes each statement in a linear order. In contrast, fifth-generation programming languages like Golog are working with an abstract model with which the interpreter can generate the sequence of actions. The source code defines the problem and it is up to the solver to find the next action. This approach can facilitate the management of complex problems from the domain of robotics.
A Golog program defines the state space in which the agent is allowed to operate. A path in the symbolic domain is found with state space search. To speed up the process, Golog programs are realized as hierarchical task networks.
Apart from the original Golog language, there are some extensions available. The ConGolog language provides concurrency and interrupts. Other dialects like IndiGolog and Readylog were created for real time applications in which sensor readings are updated on the fly.
Uses
Golog has been used to model the behavior of autonomous agents. In addition to a logic-based action formalism for describing the environment and the effects of basic actions, they enable the construction of complex actions using typical programming language constructs.
It is also used for applications in high level control of robots and industrial processes, virtual agents, discrete event simulation etc. It can be also used to develop BDI (Belief Desire Intention)-style agent systems.
Planning and scripting
In contrast to the Planning Domain Definition Language, Golog supports planning and scripting as well. Planning means that a goal state in the world model is defined, and the solver brings a logical system into this state. Behavior scripting implements reactive procedures, which are running as a computer program.
For example, suppose the idea is to authoring a story. The user defines what should be true at the end of the plot. A solver gets started and applies possible actions to the cur |
https://en.wikipedia.org/wiki/Gabrielle%20Kelly | Gabrielle Elizabeth Kelly is an Irish statistician. She is currently a professor of statistics at University College Dublin, and the former president of the Irish Statistical Association.
Her research has included studies of the correlation between birth and death dates, and on correlations between student attendance at university lectures and the time of day of the lecture.
Education and career
Kelly earned her bachelor's and master's degrees at University College Cork, and completed a Ph.D. in statistics at Stanford University in 1981. Her dissertation, The Influence Function in the Errors in Variables Problem, was supervised by Rupert G. Miller, Jr.
She became a lecturer at University College Cork after completing her doctorate, moved to the department of biostatistics at Columbia University in 1985, moved again to the University College & Middlesex School of Medicine in 1987, and took her present position as professor at University College Dublin in 1990.
Recognition and service
Kelly was the president of the Irish Statistical Association from 2016 to 2018.
References
External links
Year of birth missing (living people)
Living people
Irish statisticians
Women statisticians
Alumni of University College Cork
Stanford University alumni
Academics of University College Cork
Columbia University faculty
Academics of University College Dublin
Biostatisticians |
https://en.wikipedia.org/wiki/Jug%20Stanojev | Jug Stanojev (; born 29 July 1999) is a Serbian footballer who plays as a winger for Spartak Subotica.
Career statistics
Honours
Grafičar Beograd
Serbian League Belgrade: 2018–19
References
External links
1999 births
Living people
Men's association football defenders
Serbian men's footballers
Serbian First League players
Serbian SuperLiga players
RFK Grafičar Beograd players
FK TSC players |
https://en.wikipedia.org/wiki/Computer%20engineering%20compendium | This is a list of the individual topics in Electronics, Mathematics, and Integrated Circuits that together make up the Computer Engineering field. The organization is by topic to create an effective Study Guide for this field. The contents match the full body of topics and detail information expected of a person identifying themselves as a Computer Engineering expert as laid out by the National Council of Examiners for Engineering and Surveying. It is a comprehensive list and superset of the computer engineering topics generally dealt with at any one time.
Part 1 - Basics
Character Encoding
Character (computing)
Universal Character Set
IEEE 1394
ASCII
Math
Bitwise operation
Signed number representations
IEEE floating point
Operators in C and C++
De Morgan's laws
Booth's multiplication algorithm
Binary multiplier
Wallace tree
Dadda multiplier
Multiply–accumulate operation
Big O notation
Euler's identity
Basic Electronics
Series and parallel circuits
RLC circuit
Transistor
Operational amplifier applications
Signal Processing
Signal processing
Digital filter
Fast Fourier transform
Cooley–Tukey FFT algorithm
Modified discrete cosine transform
Digital signal processing
Analog-to-digital converter
Error Detection/Correction
Parity bit
Error detection and correction
Cyclic redundancy check
Hamming code
Hamming(7,4)
Convolutional code
Forward error correction
Noisy-channel coding theorem
Modulation
Signal-to-noise ratio
Linear code
Noise (electronics)
Part 2 - Hardware
Hardware
Logic family
Multi-level cell
Flip-flop (electronics)
Race condition
Binary decision diagram
Circuit minimization for Boolean functions
Karnaugh map
Quine–McCluskey algorithm
Integrated circuit design
Programmable Logic
Standard cell
Programmable logic device
Field-programmable gate array
Complex programmable logic device
Application-specific integrated circuit
Logic optimization
Register-transfer level
Floorplan (microelectronics)
Hardware description language
VHDL
Verilog
Electronic design automation
Espresso heuristic logic minimizer
Routing (electronic design automation)
Static timing analysis
Placement (EDA)
Power optimization (EDA)
Timing closure
Design flow (EDA)
Design closure
Rent's rule
Assembly/Test
Design rule checking
SystemVerilog
In-circuit test
Joint Test Action Group
Boundary scan
Boundary scan description language
Test bench
Ball grid array
Head in pillow (metallurgy)
Pad cratering
Land grid array
Processors
Computer architecture
Harvard architecture
Processor design
Central processing unit
Microcode
Arithmetic logic unit
CPU cache
Instruction set
Orthogonal instruction set
Classic RISC pipeline
Reduced instruction set computing
Instruction-level parallelism
Instruction pipeline
Hazard (computer architecture)
Bubble (computing)
Superscalar
Parallel computing
Dynamic priority scheduling
Amdahl's law
Benchmark (computing)
Moore's law
Computer performance
Supercomputer
SIMD
Multi-core processor
Explicitly parallel instruction computing
Simultaneous mul |
https://en.wikipedia.org/wiki/2014%E2%80%9315%201.%20FC%20Union%20Berlin%20season | The 2014–15 1. FC Union Berlin season was the club's sixth consecutive season in the 2. Bundesliga.
Competitions
2. Bundesliga
Results
League table
DFB-Pokal
Squad statistics
|-
! colspan=10 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=10 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=10 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=14 style=background:#dcdcdc; text-align:center| Forwards
Notes
References
Union Berlin
1. FC Union Berlin seasons |
https://en.wikipedia.org/wiki/Western%20Samoa%20national%20football%20team%20results | This page details the match results and statistics of the Western Samoa national football team.
Key
Key to matches
Att. = Match attendance
(H) = Home ground
(A) = Away ground
(N) = Neutral ground
Key to record by opponent
Pld = Games played
W = Games won
D = Games drawn
L = Games lost
GF = Goals for
GA = Goals against
Results
Western Samoa's score is shown first in each case.
Notes
Results by opposition
References
Samoa national football team
National association football team results |
https://en.wikipedia.org/wiki/Seifeddine%20Jaziri | Seifeddine Jaziri (; born 12 February 1993) is a Tunisian professional footballer who plays as a forward for Egyptian Premier League club Zamalek and the Tunisia national team.
Career statistics
Scores and results list Tunisia's goal tally first, score column indicates score after each Jaziri goal.
Honours
Club Africain
Tunisian Ligue Professionnelle 1: 2014–15
Tunisian Cup: 2016–17
Zamalek
Egyptian Premier League 2020–21, 2021-22
Egypt Cup: 2020–21
Individual
FIFA Arab Cup Golden Boot: 2021
FIFA Arab Cup Team of the Tournament: 2021
References
1993 births
Living people
Footballers from Tunis
Tunisian men's footballers
Men's association football forwards
Tunisia men's international footballers
Tunisia men's youth international footballers
Tunisian Ligue Professionnelle 1 players
Egyptian Premier League players
Club Africain players
CS Hammam-Lif players
US Ben Guerdane players
Tanta SC players
Stade Gabèsien players
Al Mokawloon Al Arab SC players
Zamalek SC players
Tunisian expatriate men's footballers
Tunisian expatriate sportspeople in Egypt
Expatriate men's footballers in Egypt
2021 Africa Cup of Nations players
Tunisia men's A' international footballers
2016 African Nations Championship players
2022 FIFA World Cup players |
https://en.wikipedia.org/wiki/Jeremy%20M%C3%A1rquez | Ángel Jeremy Márquez Castañeda (born 21 June 2000) is a Mexican professional footballer who plays as a midfielder for Liga MX club Atlas.
Career statistics
Club
Honours
Atlas
Liga MX: Apertura 2021, Clausura 2022
Campeón de Campeones: 2022
References
External links
Atlas F.C. footballers
2000 births
Living people
Men's association football forwards
Mexican men's footballers |
https://en.wikipedia.org/wiki/Pietro%20Corvaja | Pietro Corvaja (born 19 July 1967 in Padua, Italy) is an Italian mathematician working in Diophantine geometry. He is a professor of geometry at the University of Udine.
Early life and education
Corvaja was born in Padua, Italy on 19 July 1967. He graduated with a scientific high school diploma from a liceo scientifico in 1985, before enrolling in the University of Pisa as a student of the Scuola Normale Superiore di Pisa. He graduated from the Scuola Normale with an undergraduate thesis on the theory of transcendental numbers under the direction of Roberto Dvornicich in 1989.
After a one year scholarship at INdAM from 1989 to 1990, Corvaja completed his PhD under Michel Waldschmidt and Michel Laurent at Pierre and Marie Curie University in 1995. From 1994 to 1995, he was also a research assistant at the Università Iuav di Venezia as a collaborator of Umberto Zannier. In 2001, Corvaja obtained his habilitation qualification at Pierre and Marie Curie University.
Career
In 1995, Corvaja became a researcher at the University of Udine. From 1997 to 1998, he was a member of the Institute for Advanced Study under the direction of Enrico Bombieri. In 2002, Corvaja became an associate professor of algebra at the University of Udine. Since 2005, he has been a professor of geometry at the University of Udine.
Corvaja is the coordinator of the mathematics program and the vice director of the Scuola Superiore (School of Excellence) of the University of Udine.
Research
Corvaja and Zannier gave a new proof of Siegel's theorem on integral points in 2002 by using a new method based on the subspace theorem.
Awards
Corvaja was inducted into the Istituto Veneto di Scienze, Lettere ed Arti on 26 May 2016.
Selected publications
with J. Noguchi: A new unicity theorem and Erdős' problem for polarized semi-abelian varieties, Math. Ann., vol. 353, no. 2 (2012), pp. 439–464.
with U. Zannier: A subspace theorem approach to integral points on curves, Compte Rendu Acad. Sci., vol. 334, 2002, pp. 267–271
with U. Zannier: Finiteness of Integral Values for the Ratio of Two Linear Recurrences, Inventiones Mathematicae, vol. 149, 2002, pp. 431–451.
with U. Zannier: On Integral Points on Surfaces, Annals of Mathematics, Vol. 160, 2004, pp. 705–726. arXiv preprint
with U. Zannier: On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France, Acta Mathematica, vol. 193, no. 2, 2004, pp. 175–191.
with U. Zannier: Some cases of Vojta's conjecture on integral points over function fields, Journal of Algebraic Geometry, vol. 17, 2008, pp. 295–333. arXiv preprint
References
External links
20th-century Italian mathematicians
21st-century Italian mathematicians
University of Pisa alumni
Scuola Normale Superiore di Pisa alumni
1967 births
Scientists from Padua
Italian algebraic geometers
Arithmetic geometers
Living people
Academic staff of the University of Udine |
https://en.wikipedia.org/wiki/Shunsuke%20Sunaga | is a Japanese former footballer.
Career statistics
Club
Notes
References
1985 births
Living people
Japanese men's footballers
Men's association football midfielders
Albirex Niigata Singapore FC players
Singapore Premier League players
Japanese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore
Association football people from Saitama (city) |
https://en.wikipedia.org/wiki/Shota%20Matsuoka | is a Japanese former footballer.
Career statistics
Club
Notes
References
1989 births
Living people
Sportspeople from Kumamoto Prefecture
Association football people from Kumamoto Prefecture
Japanese men's footballers
Men's association football defenders
Japan Soccer College players
Albirex Niigata Singapore FC players
Singapore Premier League players
Japanese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore |
https://en.wikipedia.org/wiki/Koto%20Kobayashi | is a Japanese former footballer.
Career statistics
Club
Notes
References
1988 births
Living people
Japanese men's footballers
Men's association football goalkeepers
Yokohama F. Marinos players
YSCC Yokohama players
Japan Soccer College players
Albirex Niigata Singapore FC players
Singapore Premier League players
Japan Football League players
Japanese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore |
https://en.wikipedia.org/wiki/Leakage%20%28machine%20learning%29 | In statistics and machine learning, leakage (also known as data leakage or target leakage) is the use of information in the model training process which would not be expected to be available at prediction time, causing the predictive scores (metrics) to overestimate the model's utility when run in a production environment.
Leakage is often subtle and indirect, making it hard to detect and eliminate. Leakage can cause a statistician or modeler to select a suboptimal model, which could be outperformed by a leakage-free model.
Leakage modes
Leakage can occur in many steps in the machine learning process. The leakage causes can be sub-classified into two possible sources of leakage for a model: features and training examples.
Feature leakage
Feature or column-wise leakage is caused by the inclusion of columns which are one of the following: a duplicate label, a proxy for the label, or the label itself. These features, known as anachronisms, will not be available when the model is used for predictions, and result in leakage if included when the model is trained.
For example, including a "MonthlySalary" column when predicting "YearlySalary"; or "MinutesLate" when predicting "IsLate".
Training example leakage
Row-wise leakage is caused by improper sharing of information between rows of data. Types of row-wise leakage include:
Premature featurization; leaking from premature featurization before Cross-validation/Train/Test split (must fit MinMax/ngrams/etc on only the train split, then transform the test set)
Duplicate rows between train/validation/test (e.g. oversampling a dataset to pad its size before splitting; e.g. different rotations/augmentations of a single image; bootstrap sampling before splitting; or duplicating rows to up sample the minority class)
Non-i.i.d. data
Time leakage (e.g. splitting a time-series dataset randomly instead of newer data in test set using a TrainTest split or rolling-origin cross validation)
Group leakage—not including a grouping split column (e.g. Andrew Ng's group had 100k x-rays of 30k patients, meaning ~3 images per patient. The paper used random splitting instead of ensuring that all images of a patient was in the same split. Hence the model partially memorized the patients instead of learning to recognize pneumonia in chest x-rays.)
A 2023 review found data leakage to be "a widespread failure mode in machine-learning (ML)-based science", having affected at least 294 academic publications across 17 disciplines, and causing a potential reproducibility crisis.
Detection
See also
AutoML
Concept drift (where the structure of the system being studied evolves over time, invalidating the model)
Overfitting
Resampling (statistics)
Supervised learning
Training, validation, and test sets
References
Machine learning
Statistical classification |
https://en.wikipedia.org/wiki/Keisuke%20Matsui | is a Japanese former footballer.
Career statistics
Club
Notes
References
1989 births
Living people
Sportspeople from Hyōgo Prefecture
Association football people from Hyōgo Prefecture
Japanese men's footballers
Men's association football defenders
Japan Soccer College players
Albirex Niigata Singapore FC players
Singapore Premier League players
Japanese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore |
https://en.wikipedia.org/wiki/Kazuki%20Kobayashi | is a Japanese former footballer.
Career statistics
Club
Notes
References
1989 births
Living people
Japanese men's footballers
Men's association football defenders
Japan Soccer College players
Albirex Niigata Singapore FC players
Singapore Premier League players
Japanese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore |
https://en.wikipedia.org/wiki/Ding%20Xieping | Ding Xieping (; 16 April 1938 – 4 January 2020) was a Chinese mathematician and a professor at Sichuan Normal University. He served as Director of the Institute of Mathematics at the university.
Biography
Ding was born on 16 April 1938 in Zigong, Sichuan, Republic of China. After graduating from Sichuan University in 1961, he taught as an assistant professor at the Department of Mathematics of the former Chengdu University (now Southwestern University of Finance and Economics).
In 1964, Ding transferred to Sichuan Normal University, where he taught until his retirement in 2010. He served as Director of the university's Institute of Mathematics. His research focus was nonlinear analysis and applications. Starting in 1979, he published more than 360 research papers, including 160 on Science Citation Index (SCI) journals. In 1999 and 2000, he was China's most prolific authors of papers on SCI journals in the field of mathematics.
He was named a National Outstanding Scientist in 1986 and was awarded a special pension for distinguished scholars by the State Council of the People's Republic of China. He was named a National Outstanding Teacher in 2001.
Ding died on 4 January 2020, aged 81.
References
1938 births
2020 deaths
People from Zigong
Mathematicians from Sichuan
Sichuan University alumni
Academic staff of Sichuan Normal University |
https://en.wikipedia.org/wiki/Automorphism%20of%20a%20Lie%20algebra | In abstract algebra, an automorphism of a Lie algebra is an isomorphism from to itself, that is, a bijective linear map preserving the Lie bracket. The set of automorphisms of are denoted , the automorphism group of .
Inner and outer automorphisms
The subgroup of generated using the adjoint action is called the inner automorphism group of . The group is denoted . These form a normal subgroup in the group of automorphisms, and the quotient is known as the outer automorphism group.
Diagram automorphisms
It is known that the outer automorphism group for a simple Lie algebra is isomorphic to the group of diagram automorphisms for the corresponding Dynkin diagram in the classification of Lie algebras. The only algebras with non-trivial outer automorphism group are therefore and .
There are ways to concretely realize these automorphisms in the matrix representations of these groups. For , the automorphism can be realized as the negative transpose. For , the automorphism is obtained by conjugating by an orthogonal matrix in with determinant -1.
Derivations
A derivation on a Lie algebra is a linear map
satisfying the Leibniz rule
The set of derivations on a Lie algebra is denoted , and is a subalgebra of the endomorphisms on , that is . They inherit a Lie algebra structure from the Lie algebra structure on the endomorphism algebra, and closure of the bracket follows from the Leibniz rule.
Due to the Jacobi identity, it can be shown that the image of the adjoint representation lies in .
Through the Lie group-Lie algebra correspondence, the Lie group of automorphisms corresponds to the Lie algebra of derivations .
For finite, all derivations are inner.
Examples
For each in a Lie group , let denote the differential at the identity of the conjugation by . Then is an automorphism of , the adjoint action by .
Theorems
The Borel–Morozov theorem states that every solvable subalgebra of a complex semisimple Lie algebra can be mapped to a subalgebra of a Cartan subalgebra of by an inner automorphism of . In particular, it says that , where are root spaces, is a maximal solvable subalgebra (that is, a Borel subalgebra).
References
E. Cartan, Le principe de dualité et la théorie des groupes simples et semi-simples. Bull. Sc. math. 49, 1925, pp. 361–374.
.
Morphisms
Lie algebras |
https://en.wikipedia.org/wiki/Research%20in%20Number%20Theory | Research in Number Theory is a peer-reviewed mathematics journal covering number theory and arithmetic geometry. The editors-in-chief are Jennifer Balakrishnan (Boston University), Florian Luca (University of Witwatersrand), Ken Ono (University of Virginia), and Andrew Sutherland (Massachusetts Institute of Technology). It was established in 2015 as a full open access journal, but is now a hybrid open access journal, published by Springer Science+Business Media.
Abstracting and indexing
The journal is abstracted and indexed in EBSCO databases, Emerging Sources Citation Index, MathSciNet, Scopus, and Zentralblatt MATH.
References
External links
English-language journals
Hybrid open access journals
Mathematics journals
Quarterly journals
Springer Science+Business Media academic journals |
https://en.wikipedia.org/wiki/Christopher%20Trejo | Christopher Brayan Trejo Morantes (born 2 December 1999) is a Mexican professional footballer who plays as a forward for Liga MX club Atlas.
Career statistics
Club
Honours
Atlas
Liga MX: Apertura 2021, Clausura 2022
Campeón de Campeones: 2022
References
External links
Atlas F.C. footballers
1999 births
Living people
Men's association football forwards
Mexican men's footballers |
https://en.wikipedia.org/wiki/Antun%20Domic | Antun Domic is a Chilean-American engineer and mathematician.
Early life and education
Domic obtained his Ph.D. in Mathematics from the Massachusetts Institute of Technology in 1978, with a dissertation in partial differential equations.
Career
In 1982, Domic became a member of the technical staff of MIT Lincoln Laboratory in Lexington, MA. While there, Domic and his colleagues developed the Lincoln Boolean Synthesizer.
In 1985, Domic joined Digital Equipment Corporation where one of the EDA tools developed by Domic and his colleagues was CLEO, an automatic layout generator (from schematic) which was used to design blocks of several RISC processors at DEC.
Domic joined Synopsys in 1997 as vice-president of engineering for the Design Tools Group. At the end of 2016, Domic was appointed Synopsys CTO.
Mathematics
In 1987, Domic and Domingo Toledo wrote the paper "The Gromov norm of the Kähler class of symmetric domains" (Mathematische Annalen. 276 no. 3, 425–43).
Awards
Domic is an IEEE Fellow, and the recipient of the 2019 IEEE Robert N. Noyce Medal.
References
Massachusetts Institute of Technology School of Science alumni
Chilean engineers
Year of birth missing (living people)
20th-century American mathematicians
Living people |
https://en.wikipedia.org/wiki/Sharul%20Nizam | Sharul Nizam (born 2 June 1997) is a Singaporean footballer who plays as a forward.
Career statistics
Club
Notes
References
1997 births
Living people
Singaporean men's footballers
Men's association football forwards
Singapore Premier League players
Balestier Khalsa FC players
Warriors FC players
Young Lions FC players
Albirex Niigata Singapore FC players |
https://en.wikipedia.org/wiki/Jos%C3%A9%20Brachi | José Brachi (26 December 1892 – 22 August 1967) was a Uruguayan footballer who played for Nacional.
Career statistics
International
International goals
Scores and results list Uruguay's goal tally first.
References
1892 births
1967 deaths
Uruguayan men's footballers
Uruguay men's international footballers
Men's association football forwards
Club Nacional de Football players
Uruguayan Primera División players |
https://en.wikipedia.org/wiki/Marco%20Garc%C3%ADa | Marco Antonio García Robledo (born 17 January 2000), also known as Enano, is a Mexican professional footballer who plays as a midfielder for Liga MX club Querétaro.
Career statistics
Club
References
External links
2000 births
Living people
Footballers from the State of Mexico
Men's association football midfielders
Liga MX players
Liga Premier de México players
Club Universidad Nacional footballers
Liga de Expansión MX players
Mexican men's footballers |
https://en.wikipedia.org/wiki/Neboj%C5%A1a%20Mili%C4%8Di%C4%87 | Nebojša Miličić (born 16 September 1959) is a Serbian football manager, who was lately assistant coach of Esteghlal, alongside manager Farhad Majidi.
Career statistics
Managerial statistics
References
1959 births
Living people
People from Zemun
Serbian football managers
FK Zemun managers |
https://en.wikipedia.org/wiki/Pa%20Omar%20Babou | Pa Omar Babou (born 1 October 1998) is a Gambian professional footballer who plays as a forward for Bangladesh Premier League club Fortis.
Career statistics
Club
Notes
References
1998 births
Living people
Gambian men's footballers
The Gambia men's under-20 international footballers
Men's association football forwards
Hapoel Nir Ramat HaSharon F.C. players
HNK Hajduk Split players
FC Dila Gori players
Lommel S.K. players
First Football League (Croatia) players
Erovnuli Liga players
Liga Leumit players
Expatriate men's footballers in Croatia
Expatriate men's footballers in Georgia (country)
Expatriate men's footballers in Israel
Expatriate men's footballers in Belgium
Gambian expatriate sportspeople in Israel
Gambian expatriate sportspeople in Belgium
Fortis FC players
Bangladesh Premier League footballers
Expatriate men's footballers in Bangladesh |
https://en.wikipedia.org/wiki/William%20Percillier | William Percillier (Born 30 January 1999) is a Canadian rugby union player. His usual position is as a scrum-half, and he currently plays for Stade Français in the Top 14.
Club statistics
References
External links
ESPN Profile
1999 births
Living people
Sportspeople from Bordeaux
Rugby union players from Nouvelle-Aquitaine
Stade Français Paris players
Rugby union scrum-halves
Canadian rugby union players
Canada international rugby union players |
https://en.wikipedia.org/wiki/Minister%20of%20Statistics%20%28New%20Zealand%29 | The Minister of Statistics in New Zealand is a cabinet position appointed by the Prime Minister to be charged with the responsibility of Statistics New Zealand.
The current minister is Deborah Russell.
List of ministers
The following ministers have held the office of Minister of Statistics.
Key
Notes
References
Statistics
Political office-holders in New Zealand |
https://en.wikipedia.org/wiki/Richard%20Lowry%20%28psychologist%29 | Richard J. Lowry (born 1940) is an American psychologist and Professor of Psychology Emeritus at Vassar College in Poughkeepsie, New York. He is the developer of the computational statistics website VassarStats and its political offshoot Scoping the Polls. He received his Ph.D. from Brandeis University in 1965, and first joined the faculty of Vassar College the same year. He was named the William R. Kenan Chair at Vassar in 1987, and was later named the Jacob P. Giraud Chair of Natural History there. He retired from the faculty at Vassar in 2006.
References
External links
Faculty page
VassarStats
1940 births
Living people
21st-century American psychologists
Brandeis University alumni
Vassar College faculty
20th-century American psychologists |
https://en.wikipedia.org/wiki/Palestine%20national%20football%20team%20records%20and%20statistics | This article lists various individual and team records in relation to the Palestine national football team (The Fedayeen). The page currently shows the records as of 15 January 2020.
Individual records
Player records
Most-capped players
Top goalscorers
Manager records
Team records
Wins
Largest win
11–0 vs on 1 April 2006
Largest home win
10–0 vs on 10 October 2017
Largest win at the Asian Cup
N/A
Draws
Highest scoring draw
3–3 vs on 5 October 2016
Highest scoring draw at the Asian Cup
0–0 vs on 6 January 2019
0–0 vs on 15 January 2019
Defeats
Largest defeat
8–1 vs on 26 July 1953
7–0 vs on 5 October 2011
Largest defeat at home
0–3 vs on 4 August 2018
Largest defeat at the Asian Cup
4–0 vs on 12 January 2015
5–1 vs on 16 January 2015
Streaks
Unbeaten record 12 games, 2016–2018
Winless record 22 games, 2006–2011
World rankings
FIFA
Source: FIFA.com
Highest FIFA ranking 73rd (February 2018)
Lowest FIFA ranking 191st (April – August 1999)
Elo
Source: Eloratings.net
Highest Elo ranking 90th (September 2019)
Lowest Elo ranking 169th (September 2010)
Goal records
General
First goal Herbert Meitner vs on 27 April 1940
Most goals Fahed Attal (2005–2012), 16 goals
. Highlighted names denote a player still playing or available for selection.
Hat-tricks
In major tournaments
AFC Asian Cup
Most goals in a single Asian Cup tournament Jaka Ihbeisheh (in 2015), 1 goal
Most goals in total at Asian Cup tournaments Jaka Ihbeisheh (in 2015), 1 goal
Most goals in a single Asian Cup finals match Jaka Ihbeisheh, 1 goal vs on 16 January 2015
First goal in an Asian Cup finals match Jaka Ihbeisheh, vs on 16 January 2015
Competition records
FIFA World Cup
AFC Asian Cup
AFC Challenge Cup
WAFF Championship
Arab Cup
Pan Arab Games
Asian Games
Other tournaments
Head-to-head record
Key
The following table shows Palestine's all-time official international record per opponent:
after match against
Last updated: Palestine vs Bangladesh, 5 September 2021. Statistics include official FIFA-recognised matches only.
Notes
References
National association football team records and statistics |
https://en.wikipedia.org/wiki/CPMP-Tools | CPMP-Tools CPMP-Tools is a free open-source software-package for Computer Algebra System (CAS). CPMP is an abbreviation for Core-Plus Mathematics Project. CPMP-Tools has a GNU-public license and works with three operating systems. CPMP-Tools is made for teaching mathematics at the high school level.
CPMP-Tools is a little similar to the two free CAS-software packages, Yacas and Xcas.
CPMP-Tools is Java-based.
Operating systems
CPMP-Tools works for these operating systems:
Microsoft Windows
Apple macOS
Linux
Components
CPMP-Tools contains four parts:
Algebra Tools is computer algebra system (CAS) and spreadsheet
Geometry Tools is used for drawing geometric figures
Statistics Tools can build a uni- or biviat diagram
Discrete Math is for mathematical modeling
Features
factoring polynomial: factor(
solve equation: solve(
calculate derivative: diff(
calculate antiderivative: int(
Perform Chi-squared test
Draw graph of mathematical function.
History
American mathematics teacher Brian Lemmen was involved in the development of CPMP-Tools. CPMP-Tools was first published in the 1990s.
References
External links
Free computer algebra systems
Computer algebra system software for Windows
Computer algebra system software for macOS
Computer algebra system software for Linux
Software for teachers |
https://en.wikipedia.org/wiki/Samoa%20national%20football%20team%20results | This page details the match results and statistics of the Samoa national football team.
Key
Key to matches
Att. = Match attendance
(H) = Home ground
(A) = Away ground
(N) = Neutral ground
Key to record by opponent
Pld = Games played
W = Games won
D = Games drawn
L = Games lost
GF = Goals for
GA = Goals against
Results
Samoa's score is shown first in each case.
Notes
Record by opponent
References
Samoa national football team
National association football team results |
https://en.wikipedia.org/wiki/Focal%20conics | In geometry, focal conics are a pair of curves consisting of
either
an ellipse and a hyperbola, where the hyperbola is contained in a plane, which is orthogonal to the plane containing the ellipse. The vertices of the hyperbola are the foci of the ellipse and its foci are the vertices of the ellipse (see diagram).
or
two parabolas, which are contained in two orthogonal planes and the vertex of one parabola is the focus of the other and vice versa.
Focal conics play an essential role answering the question: "Which right circular cones contain a given ellipse or hyperbola or parabola (see below)".
Focal conics are used as directrices for generating Dupin cyclides as canal surfaces in two ways.
Focal conics can be seen as degenerate focal surfaces: Dupin cyclides are the only surfaces, where focal surfaces collapse to a pair of curves, namely focal conics.
In Physical chemistry focal conics are used for describing geometrical properties of liquid crystals.
One should not mix focal conics with confocal conics. The latter ones have all the same foci.
Equations and parametric representations
Ellipse and hyperbola
Equations
If one describes the ellipse in the x-y-plane in the common way by the equation
then the corresponding focal hyperbola in the x-z-plane has equation
where is the linear eccentricity of the ellipse with
Parametric representations
ellipse: and
hyperbola:
Two parabolas
Two parabolas in the x-y-plane and in the x-z-plane:
1. parabola: and
2. parabola:
with the semi-latus rectum of both the parabolas.
Right circular cones through an ellipse
The apices of the right circular cones through a given ellipse lie on the focal hyperbola belonging to the ellipse.
Proof
Given: Ellipse with vertices and foci and a right circular cone with apex containing the ellipse (see diagram).
Because of symmetry the axis of the cone has to be contained in the plane through the foci, which is orthogonal to the ellipse's plane. There exists a Dandelin sphere , which touches the ellipse's plane at the focus and the cone at a circle. From the diagram and the fact that all tangential distances of a point to a sphere are equal one gets:
Hence:
const.
and the set of all possible apices lie on the hyperbola with the vertices and the foci .
Analogously one proves the cases, where the cones contain a hyperbola or a parabola.
References
Georg Glaeser, Hellmuth Stachel, Boris Odehnal: The Universe of Conics, Springer, 2016, .
E. Müller, E. Kruppa: Lehrbuch der darstellenden Geomelrie, Springer-Verlag, Wien, 1961, . |
https://en.wikipedia.org/wiki/Sarah%20J.%20Greenwald | Sarah J. Greenwald is professor of mathematics at Appalachian State University and faculty affiliate of gender, women's and sexuality studies.
Research
Greenwald's research interests include geometry and the scholarship of teaching and learning. She also investigates connections between mathematics and society, such as women, minorities and popular culture. For example, she was part of a team that looked into allusions to mathematics in The Simpsons.
Education
In 1991, Greenwald graduated summa cum laude with honors in mathematics from Union College with a BS degree.
In 1998, she earned a PhD in mathematics at the University of Pennsylvania in Philadelphia, Pennsylvania. Her thesis in Riemannian geometry was entitled Diameters of Spherical Alexandrov Spaces and Constant Curvature One Orbifolds and was supervised by Wolfgang Ziller
Career
Greenwald is a professor of mathematics at Appalachian State University and faculty affiliate of the gender, women's and sexuality studies program there. She has published numerous articles and books in the areas of Riemannian geometry, math education, and math in society. Greenwald has been trying to get young women in Girl Scouts interested in STEM. She and Appalachian State colleagues Amber Mellon and Jill Thomley have created a merit badge in mathematics to foster interest in mathematics. Greenwald has also created a series of short video interviews of women in STEM who were former Girl Scout members. This is a work in progress. Greenwald was elected in 2020 to serve as Member at Large of the Council of the American Mathematical Society during 2021-2024.
Honors
Greenwald was a 2005 winner of the Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Faculty Member of the Mathematical Association of America (MAA). In 2017, Greenwald was selected as a plenary speaker at spring southeast section meeting of the MAA at Clemson University in March 2018.
She received the AWM Service Award in 2018 for her work on the Executive Committee and as Associate Editor of the AWM newsletter. In 2020 she was named a Fellow of the Association for Women in Mathematics. Her citation reads "For her creative and effective efforts to spark interest in mathematics among young people, especially girls; for her extensive contributions to advancing women in mathematics through writing, lectures and working with the AWM and other professional societies; and for her mentorship of students". The Mathematical Association of America selected Greenwald as a George Pólya Lecturer from 2021 to 2022.
Publications
Greenwald co-edited with Jill Thomley the 3-volume Encyclopedia of Mathematics & Society, which was named a "Best Reference of 2011" by Library Journal and was reviewed extensively. She also co-edited the 2018 Springer volume Women in Mathematics: Celebrating the Centennial of the Mathematical Association of America. She was part of the cast in 'Futurama': Bite My Shiny Metal X and se |
https://en.wikipedia.org/wiki/John%20Williams%20Calkin | John Williams Calkin (11 October 1909, New Rochelle, New York – 5 August 1964, Westhampton, New York) was an American mathematician, specializing in functional analysis. The Calkin algebra is named after him.
Biography
Calkin received his bachelor's degree from Columbia University in 1933 and his master's degree in 1934 and Ph.D. in 1937 from Harvard University. His doctoral dissertation Applications of the Theory of Hilbert Space to Partial Differential Equations; the Self-Adjoint Transformations in Hilbert Space Associated with a Formal Partial Differential Operator of the Second Order and Elliptic Type ) was supervised by Marshall H. Stone. In the dissertation, Calkin acknowledges useful discussions with John von Neumann. At the Institute for Advanced Study, Calkin was a research assistant for the academic year 1937–1938 (working with Oswald Veblen and von Neumann) and in the first eight months of 1942. From 1938 to 1942 he was an assistant professor at the University of New Hampshire and then at Chicago's Illinois Institute of Technology. During the late 1930s and early 1940s he wrote several important papers on operator theory and its applications to partial differential equations.
From Los Alamos, Calkin went in 1946 as a Guggenheim Fellow to the California Institute of Technology. He later taught at the Rice Institute (renamed Rice University in 1960), before he returned in 1949 to Los Alamos Scientific Laboratory as a member of the theoretical division. There he worked on the development of the H-bomb.
Upon his death he was survived by his widow, Emilienne Calkin (1922–2000), and his son, Brant Calkin (born 1934), from a previous marriage (to Eileen Calkin). Brant Calkin is an environmental activist in New Mexico and Utah and former president of the Sierra Club.
Selected publications
See also
Calkin correspondence
References
20th-century American mathematicians
Columbia University alumni
Harvard University alumni
Manhattan Project people
Scientists from New Rochelle, New York
1909 births
1964 deaths
Mathematicians from New York (state)
University of New Hampshire faculty
Illinois Institute of Technology faculty
New York University faculty
Brookhaven National Laboratory staff
Los Alamos National Laboratory personnel
Rice University faculty
Operator theorists |
https://en.wikipedia.org/wiki/Geometry%20C | The Geometry C is a battery-powered compact crossover produced by Chinese auto manufacturer Geely under the Geometry brand.
Overview
The Geometry C is the second model of the Geometry brand. It was developed based on the Geely Emgrand GS, and comes in a choice of two battery capacities, a 53 kWh and a longer-range 70 kWh providing a NEDC range of respectively, with the cells in both batteries coming from CATL. The electric motors were produced by Nidec and can produce up to 150 kW. The motors are called the Ni150Ex and will cover a power range from 50 kW to 200 kW. Geometry C has that drives the front wheels and has a top speed of .
The Geometry C became Israel's top-selling vehicle in August 2022, marking the first time that an electric car held the top spot in total vehicle sales in the Israeli market.
On February 9, 2023, Geely Geometry C was introduced to the African market for the first time, and launched in the Egyptian market.
Geometry M6
The Geometry M6 is the facelifted variant of the Geometry C launched in September 2022. The M6 features restyled front and rear end designs as well as the Harmony OS operating system by Huawei. The power comes from a 150 kW electric motor with two variants offering a 450 km and 580 km electric range respectively.
References
External links
Geometry Official Website
Geometry vehicles
Crossover sport utility vehicles
Hatchbacks
Front-wheel-drive vehicles
Compact sport utility vehicles
Cars introduced in 2019
2010s cars
Electric concept cars
Cars of China
Production electric cars |
https://en.wikipedia.org/wiki/Finite%20algebra | In abstract algebra, an -algebra is finite if it is finitely generated as an -module. An -algebra can be thought as a homomorphism of rings , in this case is called a finite morphism if is a finite -algebra.
The definition of finite algebra is related to that of algebras of finite type.
Finite morphisms in algebraic geometry
This concept is closely related to that of finite morphism in algebraic geometry; in the simplest case of affine varieties, given two affine varieties , and a dominant regular map , the induced homomorphism of -algebras defined by turns into a -algebra:
is a finite morphism of affine varieties if is a finite morphism of -algebras.
The generalisation to schemes can be found in the article on finite morphisms.
References
See also
Finite morphism
Finitely generated algebra
Finitely generated module
Commutative algebra
Algebraic geometry
Algebras |
https://en.wikipedia.org/wiki/Milton%20Sobel | Milton Sobel (August 30, 1919 – December 31, 2002) was professor emeritus of statistics at the University of California, Santa Barbara. He made notable contributions in the areas of decision theory, sequential analysis, selection and ranking, reliability analysis, combinatorial problems, and Dirichlet processes. Of particular note are his contributions in selection and ranking, sequential analysis and reliability.
He obtained his B.A. in mathematics (1940) from the City College of New York, M.A. in mathematics (1946) and Ph.D. in mathematical statistics (advisor: Abraham Wald, 1951) from Columbia University.
During 1960-1975 he was Professor of Statistics at the University of Minnesota.
Books
1985: Selected Tables in Mathematical Statistics: Dirchlet Integrals of Type 2 and Their Applications (with V. R. R. Uppuluri , K. Frankowski)
1977: Selecting and Ordering Populations (with Jean D. Gibbons and Ingram Olkin)
1968: Sequential Identification and Ranking Procedures (with Robert E. Bechhofer and Jack C. Kiefer)
Honors
Fellow of the Institute of Mathematical Statistics (1956)
Fellow of the American Statistical Association (1958)
Guggenheim Fellowship (1967–1968)
NIH Fellowship (1968–1969)
Elected membership in the International Statistical Institute (1974)
References
1919 births
2002 deaths
University of California, Santa Barbara faculty
University of Minnesota faculty
Columbia Graduate School of Arts and Sciences alumni
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics
Elected Members of the International Statistical Institute
Statistics educators
Jewish American academics
American statisticians
20th-century American Jews
21st-century American Jews |
https://en.wikipedia.org/wiki/Saint%20Helena%20Unified%20School%20District | Saint Helena Unified School District is a school district headquartered in Saint Helena, California.
the superintendent is Marylou Wilson. Its National Center for Education Statistics (NCES) ID is 0637830.
Schools
Saint Helena High School
Robert Louis Stevenson Middle School - Circa 2020 it had about 288 students.
Saint Helena Elementary School - Circa 2020 it had 229 students, and/or 236 students.
Saint Helena Primary School - Circa 2020 it had 238 students.
References
External links
School districts in California
School districts in Napa County, California |
https://en.wikipedia.org/wiki/Serre%27s%20theorem%20on%20a%20semisimple%20Lie%20algebra | In abstract algebra, specifically the theory of Lie algebras, Serre's theorem states: given a (finite reduced) root system , there exists a finite-dimensional semisimple Lie algebra whose root system is the given .
Statement
The theorem states that: given a root system in a Euclidean space with an inner product , and a base of , the Lie algebra defined by (1) generators and (2) the relations
,
,
,
.
is a finite-dimensional semisimple Lie algebra with the Cartan subalgebra generated by 's and with the root system .
The square matrix is called the Cartan matrix. Thus, with this notion, the theorem states that, give a Cartan matrix A, there exists a unique (up to an isomorphism) finite-dimensional semisimple Lie algebra associated to . The construction of a semisimple Lie algebra from a Cartan matrix can be generalized by weakening the definition of a Cartan matrix. The (generally infinite-dimensional) Lie algebra associated to a generalized Cartan matrix is called a Kac–Moody algebra.
Sketch of proof
The proof here is taken from and .
Let and then let be the Lie algebra generated by (1) the generators and (2) the relations:
,
, ,
.
Let be the free vector space spanned by , V the free vector space with a basis and the tensor algebra over it. Consider the following representation of a Lie algebra:
given by: for ,
, inductively,
, inductively.
It is not trivial that this is indeed a well-defined representation and that has to be checked by hand. From this representation, one deduces the following properties: let (resp. ) the subalgebras of generated by the 's (resp. the 's).
(resp. ) is a free Lie algebra generated by the 's (resp. the 's).
As a vector space, .
where and, similarly, .
(root space decomposition) .
For each ideal of , one can easily show that is homogeneous with respect to the grading given by the root space decomposition; i.e., . It follows that the sum of ideals intersecting trivially, it itself intersects trivially. Let be the sum of all ideals intersecting trivially. Then there is a vector space decomposition: . In fact, it is a -module decomposition. Let
.
Then it contains a copy of , which is identified with and
where (resp. ) are the subalgebras generated by the images of 's (resp. the images of 's).
One then shows: (1) the derived algebra here is the same as in the lead, (2) it is finite-dimensional and semisimple and (3) .
References
Theorems about algebras
Lie algebras |
https://en.wikipedia.org/wiki/Regular%20numerical%20predicate | In computer science and mathematics, more precisely in automata theory, model theory and formal language, a regular numerical predicate is a kind of relation over integers. Regular numerical predicates can also be considered as a subset of for some arity . One of the main interests of this class of predicates is that it can be defined in plenty of different ways, using different logical formalisms. Furthermore, most of the definitions use only basic notions, and thus allows to relate foundations of various fields of fundamental computer science such as automata theory, syntactic semigroup, model theory and semigroup theory.
The class of regular numerical predicate is denoted , and REG.
Definitions
The class of regular numerical predicate admits a lot of equivalent definitions. They are now given. In all of those definitions, we fix and a (numerical) predicate of arity .
Automata with variables
The first definition encodes predicate as a formal language. A predicate is said to be regular if the formal language is regular.
Let the alphabet be the set of subset of . Given a vector of integers , it is represented by the word of length whose -th letter is . For example, the vector is represented by the word .
We then define as .
The numerical predicate is said to be regular if is a regular language over the alphabet . This is the reason for the use of the word "regular" to describe this kind of numerical predicate.
Automata reading unary numbers
This second definition is similar to the previous one. Predicates are encoded into languages in a different way, and the predicate is said to be regular if and only if the language is regular.
Our alphabet is the set of vectors of binary digits. That is: . Before explaining how to encode a vector of numbers, we explain how to encode a single number.
Given a length and a number , the unary representation of of length is the word over the binary alphabet , beginning by a sequence of "1"'s, followed by "0"'s. For example, the unary representation of 1 of length 4 is .
Given a vector of integers , let . The vector is represented by the word such that, the projection of over its -th component is . For example, the representation of is . This is a word whose letters are the vectors , and and whose projection over each components are , and .
As in the previous definition, the numerical predicate is said to be regular if is a regular language over the alphabet .
A predicate is regular if and only if it can be defined by a monadic second order formula , or equivalently by an existential monadic second order formula, where the only atomic predicate is the successor function .
A predicate is regular if and only if it can be defined by a first order logic formula , where the atomic predicates are:
the order relation ,
the predicate stating that a number is a multiple of a constant , that is .
Congruence arithmetic
The language of congruence arithmetic is defined as the es |
https://en.wikipedia.org/wiki/Cathy%20Furlong | Cathy Ann Furlong is an American statistician active in volunteer work for statistical organizations. She is the former president of Statistics Without Borders, and represents the US in the International Statistical Institute Committee on Women in Statistics.
Education and career
Furlong earned a master's degree in statistics from American University, under the mentorship of Mary W. Gray, who also later encouraged her in her volunteer work. She worked in the public school system as a mathematics and statistics teacher until retiring in 2008, and continues to work as a Medicare and Medicaid fraud investigator for Integrity Management Services, Inc.
Volunteer work
Furlong was the chair of Statistics Without Borders from 2014 to 2018, and continues to serve as its past chair. The organization provides statistical consulting on a volunteer basis, particularly to organizations and countries in the developing world; as of 2015, it had approximately 1400 members.
She is one of three US representatives on the International Statistical Institute Committee on Women in Statistics, and has also been active in the Caucus for Women in Statistics, including serving as its membership coordinator.
Recognition
In 2017 the American Statistical Association elected Furlong as a fellow.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
American University alumni
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/2002%E2%80%9303%20Rochdale%20A.F.C.%20season | The 2002–03 Rochdale A.F.C. season was the club's 82nd season in the Football League, and the 29th consecutive season in the fourth tier (League Division Three).
Statistics
|}
League Division Three
FA Cup
League Cup
League Trophy
References
Rochdale A.F.C. seasons
2002–03 Football League Third Division by team |
https://en.wikipedia.org/wiki/Colombia%20national%20football%20team%20results%20%282020%E2%80%93present%29 | This page details the match results and statistics of the Colombia national football team from 2020 to present.
Key
Key to matches
Att.=Match attendance
(H)=Home ground
(A)=Away ground
(N)=Neutral ground
Key to record by opponent
Pld=Games played
W=Games won
D=Games drawn
L=Games lost
GF=Goals for
GA=Goals against
Results
Colombia's score is shown first in each case.
Notes
Record by opponent
References
Colombia national football team results |
https://en.wikipedia.org/wiki/Ying%20Guo | Ying Guo is a Chinese biostatistician specializing in biomedical imaging, neuroimaging, and high-dimensional data analysis. She is a professor of biostatistics and bioinformatics at Emory University, where she directs the Emory Center for Biomedical Imaging Statistics.
Education and career
Guo graduated from Renmin University of China in 1998, and earned a master's degree in statistics there in 2000. She completed a Ph.D. biostatistics at Emory University in 2004. Her dissertation, Assessing Agreement for Survival Outcomes, was supervised by Amita Manatunga. After continuing to work at Emory as a research assistant professor, she was given a tenure-track position in 2006. She became acting director of the Center for Biomedical Imaging Statistics in 2014, and director in 2016. She was promoted to full professor at Emory in 2019.
At Emory, her regular collaborators include two other female statisticians, Manatunga and Limin Peng.
Recognition
Guo was president of the Georgia chapter of the American Statistical Association for 2017–2018. In 2018, the American Statistical Association listed her as a Fellow of the American Statistical Association. She was elected chair of the ASA Statistics in Imaging program in 2021.
References
External links
Home page
Year of birth missing (living people)
Living people
Chinese statisticians
Women statisticians
Biostatisticians
Computer vision researchers
Neuroimaging researchers
Renmin University of China alumni
Emory University alumni
Emory University faculty
Fellows of the American Statistical Association
Chinese expatriates in the United States
Expatriate academics in the United States |
https://en.wikipedia.org/wiki/Morwen | Morwen may refer to:
People with the given name
Morwen Thistlethwaite, knot theorist and professor of mathematics
Characters
Morwen Eledhwen, the wife of Húrin and the mother of his children in J. R. R. Tolkien's Middle-earth legendarium
Morwen Steelsheen, the mother of King Théoden of Rohan in J. R. R. Tolkien's The Lord of the Rings
an original character in The Lord of the Rings film trilogy
a playable character in the 2004 video game The Lord of the Rings: The Third Age
a character in the Enchanted Forest Chronicles novel series by Patricia C. Wrede |
https://en.wikipedia.org/wiki/Representation%20theory%20of%20semisimple%20Lie%20algebras | In mathematics, the representation theory of semisimple Lie algebras is one of the crowning achievements of the theory of Lie groups and Lie algebras. The theory was worked out mainly by E. Cartan and H. Weyl and because of that, the theory is also known as the Cartan–Weyl theory. The theory gives the structural description and classification of a finite-dimensional representation of a semisimple Lie algebra (over ); in particular, it gives a way to parametrize (or classify) irreducible finite-dimensional representations of a semisimple Lie algebra, the result known as the theorem of the highest weight.
There is a natural one-to-one correspondence between the finite-dimensional representations of a simply connected compact Lie group K and the finite-dimensional representations of the complex semisimple Lie algebra that is the complexification of the Lie algebra of K (this fact is essentially a special case of the Lie group–Lie algebra correspondence). Also, finite-dimensional representations of a connected compact Lie group can be studied through finite-dimensional representations of the universal cover of such a group. Hence, the representation theory of semisimple Lie algebras marks the starting point for the general theory of representations of connected compact Lie groups.
The theory is a basis for the later works of Harish-Chandra that concern (infinite-dimensional) representation theory of real reductive groups.
Classifying finite-dimensional representations of semisimple Lie algebras
There is a beautiful theory classifying the finite-dimensional representations of a semisimple Lie algebra over . The finite-dimensional irreducible representations are described by a theorem of the highest weight. The theory is described in various textbooks, including , , and .
Following an overview, the theory is described in increasing generality, starting with two simple cases that can be done "by hand" and then proceeding to the general result. The emphasis here is on the representation theory; for the geometric structures involving root systems needed to define the term "dominant integral element," follow the above link on weights in representation theory.
Overview
Classification of the finite-dimensional irreducible representations of a semisimple Lie algebra over or generally consists of two steps. The first step amounts to analysis of hypothesized representations resulting in a tentative classification. The second step is actual realization of these representations.
A real Lie algebra is usually complexified enabling analysis in an algebraically closed field. Working over the complex numbers in addition admits nicer bases. The following theorem applies: A real-linear finite-dimensional representation of a real Lie algebra extends to a complex-linear representation of its complexification. The real-linear representation is irreducible if and only if the corresponding complex-linear representation is irreducible. Moreover, a complex semisimp |
https://en.wikipedia.org/wiki/Bruno%20Michel | Bruno Michel Santana (born 1 June 1999) is a Brazilian footballer who plays for as an attacking midfielder for Guarani.
Career statistics
Club
Notes
References
External links
1999 births
Living people
Brazilian men's footballers
Brazil men's youth international footballers
Brazilian expatriate men's footballers
Men's association football midfielders
Sport Club Corinthians Paulista players
São Bernardo Futebol Clube players
Club Athletico Paranaense players
Ohod Club players
Clube Atlético Mineiro players
Figueirense FC players
Saudi Pro League players
Brazilian expatriate sportspeople in Saudi Arabia
Expatriate men's footballers in Saudi Arabia |
https://en.wikipedia.org/wiki/Ramildo | Ramildo Dutra de Oliveira (born 27 February 1998), commonly known as Ramildo, is a Brazilian footballer who currently plays as a forward for Flamengo-PI.
Career statistics
Club
Notes
References
1998 births
Living people
Brazilian men's footballers
Men's association football forwards
América Futebol Clube (MG) players
Esporte Clube Flamengo players |
https://en.wikipedia.org/wiki/Jeriel%20De%20Santis | Jeriel Nicolás De Santis Córdova (born 18 June 2002) is a Venezuelan professional footballer who plays as a striker for Primeira Liga club Boavista.
Career statistics
Club
References
2002 births
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Venezuela men's under-20 international footballers
Men's association football forwards
Caracas FC players
Boavista F.C. players
FC Cartagena B players
Venezuelan Primera División players
Primeira Liga players
Segunda Federación players
Venezuelan expatriate men's footballers
Expatriate men's footballers in Portugal
Venezuelan expatriate sportspeople in Portugal
Expatriate men's footballers in Spain
Venezuelan expatriate sportspeople in Spain |
https://en.wikipedia.org/wiki/%C3%93scar%20Conde | Óscar Iván Conde Chourio (born 6 June 2002) is a Venezuelan footballer who plays as a defender for Academia Puerto Cabello.
Career statistics
Club
Notes
International
References
2002 births
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Venezuela men's international footballers
Men's association football defenders
Academia Puerto Cabello players
Sportspeople from Maracay
21st-century Venezuelan people |
https://en.wikipedia.org/wiki/Carlos%20Vivas | Carlos Alberto Vivas González (born 4 April 2002) is a Venezuelan footballer who plays as a defender for Deportivo Táchira F.C.
Career statistics
Club
Notes
References
2002 births
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Men's association football defenders
Deportivo Táchira F.C. players
Sportspeople from San Cristóbal, Táchira
Portland Timbers 2 players
MLS Next Pro players |
https://en.wikipedia.org/wiki/Leonel%20Toro | Leonel Raúl Toro Linares (born 30 January 2002) is a Venezuelan footballer who plays as a defender for Caracas.
Career statistics
Club
Notes
References
2002 births
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Men's association football defenders
Caracas FC players
21st-century Venezuelan people |
https://en.wikipedia.org/wiki/Joaqu%C3%ADn%20Su%C3%A1rez%20%28footballer%29 | Joaquín Alejandro Suárez Urbani (born 4 July 2002) is a Venezuelan footballer who plays as a defender for Academia Puerto Cabello.
Career statistics
Club
Notes
References
2002 births
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Men's association football defenders
Academia Puerto Cabello players
Sportspeople from Valencia, Venezuela
21st-century Venezuelan people |
https://en.wikipedia.org/wiki/Yackson%20Rivas | Yackson Stiven Rivas (born 18 March 2002) is a Venezuelan footballer who plays as a forward for Mineros de Guayana.
Career statistics
Club
Notes
References
2002 births
Living people
Venezuelan men's footballers
Men's association football forwards
A.C.C.D. Mineros de Guayana players |
https://en.wikipedia.org/wiki/Daniel%20P%C3%A9rez%20%28footballer%2C%20born%202002%29 | Daniel Alejandro Pérez Córdova (born 17 January 2002) is a Venezuelan professional footballer who plays as a forward for Oostende, on loan from Club NXT.
Career statistics
Club
Honours
Club Brugge
Belgian First Division A: 2020–21
Belgian Super Cup: 2021
References
2002 births
Footballers from Caracas
21st-century Venezuelan people
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Men's association football forwards
Venezuelan Primera División players
Belgian Pro League players
Challenger Pro League players
Metropolitanos FC players
Club Brugge KV players
Club NXT players
K.V. Oostende players
Venezuelan expatriate men's footballers
Venezuelan expatriate sportspeople in Belgium
Expatriate men's footballers in Belgium |
https://en.wikipedia.org/wiki/Yang%20Chenyu | Yang Chenyu (; born 8 June 1999) is a Chinese footballer currently playing as a defender for Hebei China Fortune.
Career statistics
Club
Notes
References
1999 births
Living people
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football defenders
Chinese Super League players
Hebei F.C. players
FK Radnički Pirot players
Chinese expatriate sportspeople in Serbia
Expatriate men's footballers in Serbia |
https://en.wikipedia.org/wiki/Lean%20%28proof%20assistant%29 | Lean is a proof assistant and programming language. It is based on the calculus of constructions with inductive types. It is an open-source project hosted on GitHub. It was made by Microsoft Research.
History
Initially launched by Leonardo de Moura at Microsoft Research in 2013.
Lean 3 was implemented as a virtual machine, which made it less efficient due to overhead associated with interpretation, making it less competitive compared to other proof assistants such as Coq.
In 2021, Lean 4 was released with a reimplementation of the Lean theorem prover capable of producing C code which is then compiled, enabling the development of efficient domain-specific automation. Another improvement compared to the previous version was ability to avoid touching C++ code in order to obtain certain features.
Lean 4 is not backwards-compatible with Lean 3.
Overview
Libraries
In 2017, the project adopted a user-maintained library mathlib with the goal to digitize pure mathematics research. As of November 2023, mathlib had formalized over 127,000 theorems and 70,000 definitions in Lean.
Editors integration
Lean integrates with:
Visual Studio Code
Neovim
Emacs
Interfacing is done via a client-extension and Language Server Protocol server.
It has native support for Unicode symbols, which can be typed using LaTeX-like sequences, such as "\times" for "×". Lean can also be compiled to JavaScript and accessed in a web browser and has extensive support for meta-programming.
Examples (Lean 3)
The natural numbers can be defined as an inductive type. This definition is based on the Peano axioms and states that every natural number is either zero or the successor of some other natural number.
inductive nat : Type
| zero : nat
| succ : nat → nat
Addition of natural numbers can be defined recursively, using pattern matching.
definition add : nat → nat → nat
| n zero := n
| n (succ m) := succ (add n m)
This is a simple proof in lean in term mode.
theorem and_swap : p ∧ q → q ∧ p :=
assume h1 : p ∧ q,
⟨h1.right, h1.left⟩
This same proof can be accomplished using tactics.
theorem and_swap (p q : Prop) : p ∧ q → q ∧ p :=
begin
assume h : (p ∧ q), -- assume p ∧ q is true
cases h, -- extract the individual propositions from the conjunction
split, -- split the goal conjunction into two cases: prove p and prove q separately
repeat { assumption }
end
Usage
Lean has gotten attention from mathematicians Thomas Hales and Kevin Buzzard. Hales is using it for his project, Formal Abstracts. Buzzard uses it for the Xena project. One of the Xena Project's goals is to rewrite every theorem and proof in the undergraduate math curriculum of Imperial College London in Lean.
In 2021, Lean was used to formalize a new proof by Peter Scholze in the area of condensed mathematics, proving that Lean can be useful at the cutting edge of mathematical research.
See also
Dependent type
List of proof assistants
mimalloc
Type theory
Focused Research |
https://en.wikipedia.org/wiki/Solomon%20Islands%20national%20football%20team%20results%20%281963%E2%80%931999%29 | This page details the match results and statistics of the Solomon Islands national football team from 1963 to 1999.
Key
Key to matches
Att. = Match attendance
(H) = Home ground
(A) = Away ground
(N) = Neutral ground
Key to record by opponent
Pld = Games played
W = Games won
D = Games drawn
L = Games lost
GF = Goals for
GA = Goals against
Results
Solomon Islands' score is shown first in each case.
Notes
Record by opponent
References
Solomon Islands national football team results |
https://en.wikipedia.org/wiki/Abelian%20Lie%20group | In geometry, an abelian Lie group is a Lie group that is an abelian group.
A connected abelian real Lie group is isomorphic to . In particular, a connected abelian (real) compact Lie group is a torus; i.e., a Lie group isomorphic to . A connected complex Lie group that is a compact group is abelian and a connected compact complex Lie group is a complex torus; i.e., a quotient of by a lattice.
Let A be a compact abelian Lie group with the identity component . If is a cyclic group, then is topologically cyclic; i.e., has an element that generates a dense subgroup. (In particular, a torus is topologically cyclic.)
See also
Cartan subgroup
Citations
Works cited
Abelian group theory
Geometry
Lie groups |
https://en.wikipedia.org/wiki/UDisc | UDisc () is a disc golf app for scorekeeping, statistics, and discovery for smartphones and tablet computers running the Android or iOS operating system. The app is also compatible with Android's Wear OS and Apple Watch.
It gives access to an extensive community-driven course directory with user-submitted course condition updates, hole-by-hole navigation information about course layouts, and a chronological list of local PDGA-sanctioned events. Users can track the rounds they played, measure throws, track various performance metrics, and compete in worldwide leaderboards.
The app can be downloaded and used for free, but an optional in-app paid subscription to UDisc Pro unlocks more features.
History
The app was developed by Matthew Krueger and Josh Lichti, and initially released in 2012. In 2018, the PDGA partnered with UDisc and announced that "members who are current in 2019 will receive a free UDisc Pro subscription that includes unlimited scoring, statistics, and automatic scorecard syncing with friends." Starting 2022, UDisc Pro will not be included with PDGA memberships.
In late 2017, UDisc implemented an integration with Dynamic Discs Winter Marksman leagues worldwide. In June 2020, UDisc released an online version of their course directory.
UDisc Live
UDisc Live is the official scoring app for real-time statistics at various tournaments, including all PDGA National Tour and Disc Golf Pro Tour events. Data collected using the app plays an important role in the development of the sport's key statistics for comparing players.
Release Point
Since June 2018, UDisc's Release Point blog has published independent disc golf research and commentary based on data gathered from UDisc app users.
References
External links
Disc golf mass media
Sports apps |
https://en.wikipedia.org/wiki/Alyson%20Wilson | Alyson Gabbard Wilson (born 1967) is an American statistician known for her work on Bayesian methods for reliability estimation and on military applications of statistics. She is a professor of statistics at North Carolina State University, where she is also Associate Vice Chancellor for National Security and Special Research Initiatives.
Education and career
Wilson graduated summa cum laude from Rice University in 1989. After earning a master's degree in statistics from Carnegie Mellon University in 1990, she completed a Ph.D. at Duke University in 1995. Her dissertation, Statistical Models for Shapes and Deformations, was supervised by Valen E. Johnson.
After completing her doctorate, Wilson worked in the defense industry as a statistician for four years before joining the research staff at Los Alamos National Laboratory in 1999, working on the statistical reliability of weapons. She moved to Iowa State University as an associate professor of statistics in 2008, and then moved again to the Institute for Defense Analyses in 2011. She returned to academia as an associate professor at North Carolina State University in 2011, and was promoted to full professor in 2015. In 2020 she became Associate Vice Chancellor for National Security and Special Research Initiatives at North Carolina State.
Book
With Michael S. Hamada, C. Shane Reese, and Harry F. Martz, Wilson is a co-author of the book Bayesian Reliability (Springer, 2008).
Recognition
Wilson became a Fellow of the American Statistical Association in 2008, an Elected Member of the International Statistical Institute in 2012, and a Fellow of the American Association for the Advancement of Science in 2015.
She won the Army Wilks Award of the Conference on Applied Statistics in Defense, given periodically for "a substantial contribution to statistical methodology and application relevant to national defense" (and not to be confused with the Samuel S. Wilks Memorial Award of the American Statistical Association) in 2015. In 2018, she won the Distinguished Achievement Award of the American Statistical Association Section on Statistics in Defense and National Security.
References
External links
Home page at NCSU
Personal home page
1967 births
Living people
American statisticians
Women statisticians
Rice University alumni
Carnegie Mellon University alumni
Duke University alumni
Los Alamos National Laboratory personnel
Iowa State University faculty
North Carolina State University faculty
Fellows of the American Association for the Advancement of Science
Fellows of the American Statistical Association
Elected Members of the International Statistical Institute |
https://en.wikipedia.org/wiki/Gelfand%E2%80%93Fuks%20cohomology | In mathematics, Gelfand–Fuks cohomology, introduced in , is a cohomology theory for Lie algebras of smooth vector fields. It differs from the Lie algebra cohomology of Chevalley-Eilenberg in that its cochains are taken to be continuous multilinear alternating forms on the Lie algebra of smooth vector fields where the latter is given the topology.
References
Further reading
Cohomology theories
Lie algebras
Homological algebra |
https://en.wikipedia.org/wiki/Marc%20G.%20Genton | Marc G. Genton, (born September 1969 in Geneva, Switzerland) is currently a Distinguished Professor of Statistics with the King Abdullah University of Science and Technology, (KAUST), Thuwal, Saudi Arabia. He is known as a specialist in Spatio-Temporal Statistics, Data Science and their applications in geophysics, climate science, and marine science. The International Association for Mathematical Geosciences awarded him the Georges Matheron Lectureship in 2020. He is a Fellow of the American Statistical Association (2007), Elected member to the International Statistical Institute (2008), Fellow member of the Royal Statistical Society (2009), Fellow of the Institute of Mathematical Statistics (2010), and Fellow of the American Association for the Advancement of Science (2012).
Education
Ph.D., Statistics, Swiss Federal Institute of Technology, Lausanne, 1996
M.Sc., Applied Mathematics Teaching, Swiss Federal Institute of Technology, Lausanne, 1994
B.Sc., Engineer in Applied Mathematics, Swiss Federal Institute of Technology, Lausanne, 1992
See also
International Association for Mathematical Geosciences
References
External links
Marc G. Genton's page at KAUST
Living people
1969 births
Academic staff of King Abdullah University of Science and Technology
ETH Zurich alumni
École Polytechnique Fédérale de Lausanne alumni
Spatial statisticians |
https://en.wikipedia.org/wiki/Giovanni%20Ricci%20%28mathematician%29 | Giovanni Ricci (17 August 1904 – 9 September 1973) was an Italian mathematician.
He was born and brought up in Florence, where he did his school education. He then moved to Pisa to study mathematics at the Scuola Normale Superiore (associated with the University of Pisa). He was an assistant professor at the University of Rome for two years until 1928 when he moved to his alma mater Scuola Normale Superiore, where he was a professor for 8 years and produced research works in the fields of number theory, differential geometry, mathematical analysis, and theory of series, with highly significant results being obtained on the Goldbach conjecture and Hilbert's seventh problem.
Ricci moved to the University of Milano towards the end of 1936, where he remained as a professor for 36 years until his death on 9 September 1973. While in Milan, Ricci was largely committed to teaching and administrative work and his research output declined.
Ricci served as the president of Italian Mathematical Union from 1964 to 1967. He was a member of the Accademia dei Lincei since 1957. He was also a member of Istituto Lombardo Accademia di Scienze e Lettere.
Ricci is noted to have had a significant influence on Fields Medal-winning mathematician Enrico Bombieri
References
1904 births
1973 deaths
20th-century Italian mathematicians
Scuola Normale Superiore di Pisa alumni
Academic staff of the Scuola Normale Superiore di Pisa
Academic staff of the University of Milan
Presidents of the Italian Mathematical Union |
https://en.wikipedia.org/wiki/Giovanni%20Prodi | Giovanni Prodi (28 July 1925 – 29 January 2010) was an Italian mathematician, also known for many activities concerning the teaching of mathematics.
There is a professorship of mathematics at the University of Würzburg named in his honour, created in 2006.
Early life
His father, Mario Prodi, was an engineer and his mother, Enrica, a primary school teacher. He was the eldest among 9 siblings, which included former Italian Prime Minister Romano Prodi, member of the European Parliament Vittorio Prodi, and the medical scientist Giorgio Prodi. Prodi studied at the Liceo Ariosto in Reggio nell'Emilia, which was the main city of the region. Following that, he entered the University of Parma to study mathematics in 1943 amid World War II hostilities.
Military service
He was drafted into the National Republican Army, reluctantly because of the threat of harm to his family. He was sent to Germany as part of an Italian camp and trained there as a telephonist. In 1944, he deserted the Army along with several comrades and returned to Parma, where he was taken prisoner by the advancing Allies. He was detained at Coltano, near Pisa, where he remained for 5 months before being released.
Academia
After his military service ended, Prodi returned to the University of Parma to continue his university studies. Upon graduation, he joined the University of Milan as an assistant professor, where he worked with Giovanni Ricci. He held the chair of mathematical analysis at the University of Trieste from 1956 to 1963, and then at the University of Pisa.
He was also interested in improving mathematics education, proposing radical new ideas on mathematical teaching, emphasising on probability theory, constructive mathematics and promoting algorithmic thinking and problem solving.
Death
After several years of deteriorating health due to Parkinson's disease, he died as a result of a cardiac arrest in 2010.
References
1925 births
2010 deaths
20th-century Italian mathematicians
Academic staff of the University of Pisa
People from the Province of Reggio Emilia |
https://en.wikipedia.org/wiki/Alexandre%20Mikhailovich%20Vinogradov | Alexandre Mikhailovich Vinogradov (; 18 February 1938 – 20 September 2019) was a Russian and Italian mathematician. He made important contributions to the areas of differential calculus over commutative algebras, the algebraic theory of differential operators, homological algebra, differential geometry and algebraic topology, mechanics and mathematical physics, the geometrical theory of nonlinear partial differential equations and secondary calculus.
Biography
A.M. Vinogradov was born on 18 February 1938 in Novorossiysk. His father, Mikhail Ivanovich Vinogradov, was a hydraulics scientist; his mother, Ilza Alexandrovna Firer, was a medical doctor. Among his more distant ancestors, his great-grandfather, Anton Smagin, was a self-taught peasant and a deputy of the State Duma of the second convocation.
Between 1955 and 1960 Vinogradov studied at the Mechanics and Mathematics Department of Moscow State University (Mech-mat). He pursued a PhD at the same institution, defending his thesis in 1964, under the supervision of V.G. Boltyansky.
After teaching for one year at the Moscow Mining Institute, in 1965 he received a position at the Department of Higher Geometry and Topology of Moscow State University. He obtained his habilitation degree (doktorskaya dissertatsiya) in 1984 at the Institute of Mathematics of the Siberian Branch of the USSR Academy of Science in Novosibirsk in Russia. In 1990 he left the Soviet Union for Italy, and from 1993 to 2010 was professor in geometry at the University of Salerno.
Research
Vinogradov published his first works in number theory, together with B.N. Delaunay and D.B. Fuchs, when he was a second year undergraduate student. By the end of his undergraduate years he changed research interests and started working on algebraic topology. His PhD thesis was devoted to homotopic properties of the embedding spaces of circles into the 2-sphere or the 3-disk. He continued working in algebraic and differential topology – in particular, on the Adams spectral sequence – until the early seventies.
Between the sixties and the seventies, inspired by the ideas of Sophus Lie, Vinogradov changed once more research interests and began to investigate the foundations of the geometric theory of partial differential equations. Having become familiar with the work of Spencer, Goldschmidt and Quillen on formal integrability, he turned his attention to the algebraic (in particular, cohomological) component of that theory. In 1972, he published a short note containing what he called the main functors of the differential calculus over commutative algebras.
Vinogradov’s approach to nonlinear differential equations as geometric objects, with their general theory and applications, is developed in details in some monographs as well as in some articles. He recast infinitely prolonged differential equations into a category whose objects, called diffieties, are studied in the framework of what he called secondary calculus (by analogy with second |
https://en.wikipedia.org/wiki/Danny%20Walker-Rice | Daniel Joseph Walker-Rice (born 10 November 2000) is a professional footballer who plays as a forward for Bala Town.
Career statistics
Club
Notes
References
2000 births
Living people
Footballers from Greater London
English men's footballers
Men's association football forwards
National League (English football) players
English Football League players
Cymru Premier players
Tranmere Rovers F.C. players
Bala Town F.C. players |
https://en.wikipedia.org/wiki/Veronica%20Czitrom | Veronica A. Czitrom (also Anne Veronica Czitrom or Verónica Czitróm de Gerez) is a Mexican-American statistician known for her applications of statistics to the quality control of semiconductor manufacturing.
Education and career
Czitrom is originally from Mexico City. She graduated from the University of California, Berkeley with a bachelor's degree in physics, continued at Berkeley for a master's degree in engineering, and became a professor of systems engineering and applications at the National Autonomous University of Mexico. Subsequently, she returned to graduate study in mathematics and statistics at the University of Texas at Austin. Her 1984 doctoral dissertation, D-Optimal Experimental Designs and Alternative Models for Quadratic Blending with Process Variables, was supervised by Peter William Meredith John.
After completing her doctorate, she became an assistant professor of statistics at the University of Texas at San Antonio. She moved to Bell Labs in 1990, and was seconded from them for two years at SEMATECH. After moving to Chartered Semiconductor Manufacturing in Singapore, in 2003 she founded a statistical consulting firm in Singapore, Statistical Training & Consulting.
She has also served the American Statistical Association as chair of its Quality and Productivity Section, in 2000. Her accomplishments as chair included the establishment of a scholarship in honor of Mary Gibbons Natrella, funding students to travel to the section's annual conference.
Books
With Patrick D. Spagon, Czitrom is the author of the book Statistical Case Studies for Industrial Process Improvement (Society for Industrial and Applied Mathematics, 1997).
She is also the author of four Spanish-language textbooks on engineering: Circuitos y sistemas electro-mecánicos (in two volumes, with Víctor Gerez Greiser, 1974 and 1975), Introducción al análisis de sistemas e investigación de operaciones (with Victor Gerez Greiser, 1978), and Métodos para la solución de problemas con computadora digital : problemas y ejemplos (with José Armando Torres Fentanes, 1980).
Recognition
In 1996, Czitrom was the winner of a Hispanic Engineer National Achievement Award for technical contributions in industry. In 2000, the American Statistical Association honored her as a Fellow of the American Statistical Association.
References
Year of birth missing (living people)
Living people
American women statisticians
Mexican statisticians
UC Berkeley College of Letters and Science alumni
University of Texas at Austin alumni
Academic staff of the National Autonomous University of Mexico
University of Texas at San Antonio faculty
Fellows of the American Statistical Association
UC Berkeley College of Engineering alumni
21st-century American women |
https://en.wikipedia.org/wiki/Auxence%20Contout | Auxence Contout (4 February 1925 – 2 January 2020) was a French writer who was from French Guiana.
Biography
In 1947, Contout left South America for Paris, where he studied science and mathematics at the University of Sorbonne Nouvelle Paris 3. After this, he began teaching mathematics. During his time in Paris, he founded the Union of Guianan Students. From 1954 to 1958, he taught mathematics at the Lycée de Douala in Cameroon. He returned to French Guiana in 1958 and taught mathematics at Lycée Félix Éboué in Cayenne. He became headmaster in 1968. In 1969, Contout was named principal at Collège République, where he served for 22 years. The college would be renamed after him in 2004.
Contout was passionate about Guianan culture, history, language, and folklore. He wrote numerous tales and poems in Creole, many of which have been published by the Matoury-based publisher Ibis Rouge Editions. He also participated in many sporting and cultural events. He helped start La Ligue de Handball de Guyane. Contout served in important functions for the French Guiana Honor Division. He served as President of the French Economic, Social and Environmental Council from 1975 to 1983 and later led the Culture, Education and Environment Council.
Contout was a Commander of the Ordre national du Mérite and was President of the Association of the Ordre national du Mérite de Guyane.
Auxence died on 2 January 2020 at the age of 94 in Cayenne.
Works
Le Patois guyanais (1973)
Langues et cultures guyanaises (1987)
La Guyane des proverbes (1995)
Le parler guyanais (1996)
Le petit dictionnaire de la Guyane classé par thèmes, avec histoires de mots, tournures et conversations (1996)
Guyane au sein de l’incertitude (1999)
La Guyane : ses contes, ses devinettes, ses croyances, ses monuments (1999)
Vaval, l’histoire du carnaval de la Guyane française (2000)
Contes et légendes de Guyane (2003)
Guyane d’hier et d’avant-hier (2010)
Honors
The collège République de Cayenne was renamed collège Auxence Contout in tribute to Contout servitude as Principal at the school for 22 years.
References
French Guianan writers
1925 births
2020 deaths |
https://en.wikipedia.org/wiki/Max%20Shiffman | Max Shiffman (30 October 1914, New York City – 2 July 2000, Hayward, California) was an American mathematician, specializing in the calculus of variations, partial differential equations, and hydrodynamics. He was a Guggenheim Fellow for the academic year 1951–1952.
Biography
Max Shiffman graduated with a bachelor's degree from City College of New York (CNNY) and then graduated in 1938 with a Ph.D. from New York University (NYU). His thesis was entitled The Plateau Problem for Minimal Surfaces of Arbitrary Topological Structure and his thesis advisor was Richard Courant. According to Peter Lax, Shiffman was "Courant's most brilliant student in America". Shiffman gave a one-hour address at a meeting of the American Mathematical Society. He was an instructor at CCNY in 1939–42. In 1942 at NYU he joined a research project funded by the Office of Scientific Research and Development. From 1945 to 1948 he was an associate professor at NYU, where he influenced many graduate students, including Clifford Gardner, Joe Keller, Martin Kruskal, Peter Lax, Cathleen Morawetz, and Louis Nirenberg. In 1948 Gábor Szegő hired Shiffman as a full professor at Stanford University. Szegő also brought to the Stanford mathematics department Donald C. Spencer, Albert Charles Schaeffer, Paul Garabedian, and Richard E. Bellman. Shiffman and Bellman introduced a number of modern mathematics courses at Stanford. Shiffman was the first to teach at Stanford a course on functional analysis. Merrill M. Flood's 1952 introduction to non-Soviet mathematicians of Kantorovich's 1939 paper Mathematical Methods of Organizing and Planning Production is due to Shiffman in 1949.
From 1965 to 1967 Shiffman held at Stanford a research appointment, mainly due to the efforts of Donald C. Spencer. At California State University, Hayward Shiffman was a full professor from 1967 to 1981, when he retired as professor emeritus.
In the summer of 1949 Shiffman gave a new proof of von Neumann's minimax theorem with a generalization to concave-convex functions. Maurice Sion generalized Shiffman's result to Sion's minimax theorem, published in 1958.
In 1938 Bella Manel, a mathematics graduate student at NYU, married Max Shiffman. She received her PhD in 1939 with thesis advisor Richard Courant. Max and Bella Shiffman divorced in 1957, after the birth of their two sons. Upon his death Max Shiffman was survived by his sons, Bernard, a professor of mathematics, and David, an owner of an investment company, and by five grandchildren.
Selected publications
1947
References
1914 births
2000 deaths
20th-century American mathematicians
Brooklyn College alumni
Applied mathematicians
Fluid dynamicists
Game theorists
PDE theorists
City College of New York alumni
New York University alumni
Stanford University faculty
California State University, East Bay faculty |
https://en.wikipedia.org/wiki/Ben%20Malango | Ben Malango Ngita (10 November 1993), is a Congolese professional footballer who plays for Qatar Stars League side Qatar as a striker.
Career statistics
Club
International
Scores and results list DR Congo's goal tally first.
Honours
TP Mazembe
Linafoot: 2016–17, 2018–19
CAF Confederation Cup: 2017
CAF Super Cup runner-up: 2017, 2018
Raja Casablanca
Botola: 2019–20
CAF Confederation Cup: 2020–21
Arab Club Champions Cup: 2019–20
Individual
Linafoot Top scorer: 2016–17
CAF Confederation Cup Top scorer: 2017, 2020–21
Botola Best Foreign Player: 2020–21
Botola Team of the Season: 2020–21
References
External links
1993 births
Living people
Footballers from Kinshasa
Democratic Republic of the Congo men's footballers
Democratic Republic of the Congo men's international footballers
Democratic Republic of the Congo expatriate men's footballers
AS Vita Club players
TP Mazembe players
Raja CA players
Sharjah FC players
Qatar SC players
Botola players
UAE Pro League players
Qatar Stars League players
Men's association football forwards
Expatriate men's footballers in Morocco
Expatriate men's footballers in the United Arab Emirates
Expatriate men's footballers in Qatar
Democratic Republic of the Congo expatriate sportspeople in Morocco
Democratic Republic of the Congo expatriate sportspeople in the United Arab Emirates
Democratic Republic of the Congo expatriate sportspeople in Qatar
21st-century Democratic Republic of the Congo people |
https://en.wikipedia.org/wiki/Francis%20Xavier%20Aynscom | Francis Xavier Aynscom (1624–1660) was a Flemish Jesuit of English extraction. He was born in Antwerp in 1624 and entered the Society of Jesus there, becoming a teacher of literature and mathematics in the order. In 1656 he published a book defending Grégoire de Saint-Vincent's work on squaring the circle. He died in Antwerp at the age of thirty-six.
References
1624 births
1660 deaths
Clergy from Antwerp
Flemish Jesuits
Mathematicians of the Spanish Netherlands
Scientists from Antwerp |
https://en.wikipedia.org/wiki/Patti%20Frazer%20Lock | Patricia Frazer Lock (born 1953) is an American mathematician, mathematics educator, statistician, statistics educator, and textbook author whose research interests include social networks and quantum logic. She is the Cummings Professor of Mathematics at St. Lawrence University.
Education and career
Lock is the daughter of J. Ronald Frazer, a hockey player and business school professor at Clarkson University. She graduated from Colgate University in 1975, with a bachelor's degree in mathematics, and went on to graduate study at the University of Massachusetts Amherst where she earned a master's degree in 1978 and completed her Ph.D. in 1981. Her dissertation, Categories of Manuals, was supervised by David J. Foulis.
After working for a term as an instructor at the United States Naval Academy, she joined St. Lawrence University in 1981. She became full professor in 1994 and Cummings Professor in 2002.
She has served the Mathematical Association of America as chair of its Special Interest Group on Statistics Education for 2015–2016.
Books
With Deborah Hughes Hallett, Andrew M. Gleason, and others, Lock is one of the co-authors of the Harvard Calculus Consortium series of textbooks. She is also a co-author with her husband and three children, all professional mathematicians and statisticians, of a statistics textbook, Statistics: Unlocking the Power of Data.
Recognition
In 2016 the Seaway Section of the Mathematical Association of America gave Lock their Clarence Stephens Distinguished Teaching Award.
In 2017 Lock won the Dexter C. Whittinghill III Award of the Mathematical Association of America Special Interest Group on Statistics Education for her work on incorporating visualizations of big data into introductory statistics courses.
References
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Mathematics educators
American statisticians
Women statisticians
Statistics educators
Colgate University alumni
University of Massachusetts Amherst alumni
United States Naval Academy faculty
St. Lawrence University faculty
1953 births
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Arnold%20Oberschelp | Arnold Oberschelp (born 5 February 1932 in Recklinghausen) is a German mathematician and logician. He was for many years professor of logic and in Kiel.
Life
Oberschelp studied mathematics and physics at the universities of Göttingen and Münster. In Münster he received in December 1957 his doctorate in mathematical logic under Hans Hermes. In 1958 he was a research assistant at the Mathematical Institute of the Technical College of Hannover (now Leibniz University Hannover) where he habilitated in mathematics in 1961. In 1968, he accepted an appointment as full professor of logic and science at the University of Kiel. Oberschelp has been emeritus professor since 1997.
Arnold Oberschelp developed a general class logic in which arbitrary classes can be formed without the contradictions of naive set theory. Additional axioms result in the Zermelo–Fraenkel set theory, which is much more handy in his class-logical representation than in the usual predicate logical representation.
In 1962 he gave a lecture as an invited speaker at the International Congress of Mathematicians in Stockholm on classes as "primal elements" in set theory.
From 1970 to 1976 he was chairman of the , on whose board he served from 1965 to 1978.
In September 2019, he received the German Institute for Standardization's Beuth Memorial Coin in recognition of his services to standardization in mathematics and technical foundations.
Selected works
Elementare Logik und Mengenlehre I/II. Bibliographisches Institut, Mannheim/Wien/Zürich 1974/1978, .
Jürgen-Michael Glubrecht, Arnold Oberschelp, Günter Todt: Klassenlogik. Bibliographisches Institut, Mannheim/Wien/Zürich 1983, .
— Review:
Allgemeine Mengenlehre. BI-Wiss.-Verlag, Mannheim/Leipzig/Wien/Zürich 1994, .
Logik für Philosophen. 2nd ed., Metzler, Stuttgart/Weimar 1997, .
References
External links
20th-century German mathematicians
1932 births
Academic staff of the University of Kiel
University of Göttingen alumni
University of Münster alumni
Academic staff of the University of Hanover
Set theorists
People from Recklinghausen
Living people |
https://en.wikipedia.org/wiki/Block%20structure | Block structure may refer to:
In mathematics, block structure is a possible property of matrices – see block matrix
In computer science, a programming language has block structure if it features blocks, which can be nested to any depth
In linguistics, block structure is a representation of sentence grammar now most commonly associated with the Backus–Naur form. The alternate context-free grammar approach instead is a mathematical notation for operating on sentence grammars. |
https://en.wikipedia.org/wiki/Sarah%20Nusser | Sarah Margaret Nusser (born 1957) is an American statistician and expert on survey methodology. She is vice president for research at Iowa State University, where she is also a professor of statistics and the former director of the Center for Survey Statistics and Methodology. As well as survey statistics, her research publications have included contributions to human nutrition and to environmental statistics.
Education and career
Nusser majored in botany at the University of Wisconsin–Madison, where she graduated in 1980. After earning a master's degree in botany at North Carolina State University in 1983, she switched to Iowa State University for graduate study in statistics, earning a second master's degree in 1987 and completing her Ph.D. in 1990. Her dissertation, Failure Time Analyses for Data Collected from Independent Groups of Correlated Individuals, was supervised by Kenneth J. Koehler.
After working for Procter & Gamble as a statistician, she became an assistant professor at Iowa State in 1992. She served as director of the Center for Survey Statistics and Methodology from 1992 to 2004 and 2007 to 2010, and became affiliated with the graduate programs in Ecology and Evolutionary Biology in 1994 and in Human Computer Interaction in 2004. She was promoted to full professor in 2003, and became vice president for research in 2014.
Recognition
Nusser became a Fellow of the American Statistical Association in 2003, and an Elected Member of the International Statistical Institute in 2012. She was named to the 2021 class of Fellows of the American Association for the Advancement of Science.
References
1957 births
Living people
American statisticians
Women statisticians
University of Wisconsin–Madison College of Letters and Science alumni
North Carolina State University alumni
Iowa State University alumni
Iowa State University faculty
Elected Members of the International Statistical Institute
Fellows of the American Statistical Association
Fellows of the American Association for the Advancement of Science |
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