source stringlengths 31 168 | text stringlengths 51 3k |
|---|---|
https://en.wikipedia.org/wiki/Jianhong%20Wu | Jianhong Wu (吴建宏; born in 1964) is a Canadian applied mathematician and the founding Director of the Laboratory for Industrial and Applied Mathematics at York University. He is the inaugural Director of the York Emergency Mitigation, Engagement, Response, and Governance Institute (Y-EMERGE) .
Education
Wu received his PhD degree from Hunan University in 1987 at age 23, making him the university's youngest PhD recipient up to that point. He was the first G. Kaplan Award Postdoctoral Fellow at University of Alberta during 1988–90, and joined York University in 1990.
Career
He holds the life-time title of University Distinguished Research Professor, and was awarded a senior Canada Research Chair in Industrial and Applied Mathematics at York University between 2001-2022. He was awarded the Senior York Research Chair in Industrial and Applied Mathematics in 2022. He was also awarded the NSERC/Sanofi Industrial Research Chair in Vaccine Mathematics, Modelling and Manufacturing in 2017-2022.
In 2008, Dr. Wu founded the Centre for Disease Modelling, and in 2016, he became the founding Scientific Director of The Disaster, Emergency and Rapid Response Simulation initiative (ADERSIM).
He is an editor-in-chief of the journal Infectious Disease Modelling.
Awards and recognition
He was awarded by the Alexander von Humboldt Foundation an Alexander van Humboldt Fellow at Justus-Liebig-Universitat Giessen, a Paul Erdos Visiting Professor at the Bolyai Institute, a FAPESP Visiting Research Fellow at Universidade de Sao Paulo, a Cheung Kong Visiting Professor (awarded by the Changjiang Scholars Program) at Xian Jiaotong University. He is a Fellow of the Fields Institute, a Fellow of the Canadian Academy of Health Sciences, and a Fellow of the Royal Society of Canada.
Professor Wu is the first recipient of the Canadian Applied and Industrial Mathematical Society's Research Prize, for his "very significant contributions in the area of infinite dimensional differential equations with applications to neural networks and population dynamics". He also received the 2019 CAIMS-Fields Industrial Mathematics Prize "in recognition of their many contributions to dynamical systems in mathematical epidemiology and in particular, their collaborative research with public health professionals in government and industry: applying their expert knowledge to infectious disease mitigation strategies and preparedness.". He received the Queen Elizabeth II Diamond Jubilee Medal from the Government of Canada in 2012. He was awarded an honorary doctorate by the University of Szeged in 2016.
He is recognized for his expertise and contribution in the following fields: nonlinear dynamics and delay differential equations; neural networks and pattern recognition; mathematical ecology and epidemiology; big data analytics.
He is particularly recognized for his leadership in coordinating interdisciplinary collaboration to develop mathematical technologies to support decision making during a |
https://en.wikipedia.org/wiki/Guidances%20for%20statistics%20in%20regulatory%20affairs | Guidances for statistics in regulatory affairs refers to specific documents or guidelines that provide instructions, recommendations, and standards pertaining to the application of statistical methodologies and practices within the regulatory framework of industries such as pharmaceuticals and medical devices. These guidances serve as a reference for statisticians, researchers, and professionals involved in designing, conducting, analyzing, and reporting studies and trials in compliance with regulatory requirements. These documents embody the prevailing perspectives of regulatory agencies on specific subjects. It is worth noting that in the United States, the term "Guidances" is used, while in Europe, the term "Guidelines" is employed.
Regulatory affairs, alternatively referred to as government affairs, constitutes a profession within regulated sectors like pharmaceuticals and medical devices. Professionals, including statisticians, in these fields are expected to incorporate regulatory guidance into their work practices.
Statisticians operating in regulated environments, such as the pharmaceutical and healthcare industries, are required to possess a comprehensive understanding of the regulatory requirements influencing the design, execution, analysis, and reporting of their studies.
Regulatory guidance pertinent to the pharmaceutical and medical devices industries can be found at both international and regional/national levels. Examples of regulatory bodies include the European Medicines Agency (EMA) in Europe, the Medicines and Healthcare products Regulatory Agency (MHRA) in the United Kingdom, the Institute for Quality and Efficiency in Health Care (IQWiG) in Germany, the Food and Drug Administration (FDA) in the United States, and the Pharmaceuticals and Medical Devices Agency (PMDA) in Japan.
Additionally, statistical regulatory guidance is available for general topics such as Good Clinical Practice (ICH E6(R2)), as well as specific areas explicitly related to statistics, such as Statistical Principles for Clinical Trials (ICH E9), and some indirectly related areas like Special Populations: Geriatrics (ICH E7) or Clinical Trial Endpoints in Oncology (FDA). The extensive array of regulatory guidance, encompassing both draft and final versions, undergoes periodic revisions. Consequently, users of these guidance documents are advised to consult the original websites to access the most up-to-date versions.
History
Regulation in the United States had its origins in 1906 with the enactment of the Food and Drugs Act. This initial step towards regulatory oversight was further strengthened in 1938 with the implementation of the Federal Food, Drug, and Cosmetic Act, prompted by the tragic incident involving Elixir sulfanilamide in 1937, which led to numerous fatalities.
Another pivotal event that underscored the need for stricter regulations was the Thalidomide catastrophe. In 1957, Thalidomide was introduced in Germany without undergoing ade |
https://en.wikipedia.org/wiki/Paes%20%28footballer%29 | Enoque Vicente Paes (born 11 December 1982), known as Paes, is a Brazilian footballer who plays as a goalkeeper.
Career statistics
References
External links
1982 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football goalkeepers
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Oeste Futebol Clube players
Brasiliense FC players
Ceilândia Esporte Clube players
Associação Botafogo Futebol Clube players
Clube Atlético Tubarão players
Avaí FC players
S.C. Beira-Mar players
Cianorte Futebol Clube players
Associação Desportiva São Caetano players
Clube Atlético Penapolense players
Esporte Clube Água Santa players
Associação Portuguesa de Desportos players
Footballers from Rio de Janeiro (city)
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal |
https://en.wikipedia.org/wiki/Mauro%20Viana | Mauro Sérgio Martins Viana (born 22 May 1984), known as Mauro Viana, is a Brazilian footballer who plays for Uberlândia as a defender.
Career statistics
References
External links
1984 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Associação Desportiva São Caetano players
Mogi Mirim Esporte Clube players
Oeste Futebol Clube players |
https://en.wikipedia.org/wiki/Nando%20Carandina | Fernando Gasparini Carandina (born 30 April 1990), commonly known as Nando Carandina, is a Brazilian professional footballer who plays as a defensive midfielder for Santo André.
Career statistics
References
External links
1990 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Clube Atlético Taquaritinga players
Desportivo Brasil players
Sertãozinho Futebol Clube players
Grêmio Barueri Futebol players
Mogi Mirim Esporte Clube players
Rio Claro Futebol Clube players
Oeste Futebol Clube players
Associação Desportiva São Caetano players
Red Bull Bragantino II players
Paysandu Sport Club players
São Bernardo Futebol Clube players
Grêmio Novorizontino players |
https://en.wikipedia.org/wiki/Wendell%20%28footballer%2C%20born%201989%29 | Wendell Nogueira de Araújo (born 4 April 1989), simply known as Wendell, is a Brazilian footballer who plays for Atlético–ES as a midfielder.
Career statistics
References
External links
1989 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Rio Claro Futebol Clube players
Associação Desportiva São Caetano players
Clube Atlético Joseense players
Footballers from São Paulo |
https://en.wikipedia.org/wiki/Multilinear%20multiplication | In multilinear algebra, applying a map that is the tensor product of linear maps to a tensor is called a multilinear multiplication.
Abstract definition
Let be a field of characteristic zero, such as or .
Let be a finite-dimensional vector space over , and let be an order-d simple tensor, i.e., there exist some vectors such that . If we are given a collection of linear maps , then the multilinear multiplication of with is defined as the action on of the tensor product of these linear maps, namely
Since the tensor product of linear maps is itself a linear map, and because every tensor admits a tensor rank decomposition, the above expression extends linearly to all tensors. That is, for a general tensor , the multilinear multiplication is
where with is one of 's tensor rank decompositions. The validity of the above expression is not limited to a tensor rank decomposition; in fact, it is valid for any expression of as a linear combination of pure tensors, which follows from the universal property of the tensor product.
It is standard to use the following shorthand notations in the literature for multilinear multiplications:andwhere is the identity operator.
Definition in coordinates
In computational multilinear algebra it is conventional to work in coordinates. Assume that an inner product is fixed on and let denote the dual vector space of . Let be a basis for , let be the dual basis, and let be a basis for . The linear map is then represented by the matrix . Likewise, with respect to the standard tensor product basis , the abstract tensoris represented by the multidimensional array . Observe that
where is the jth standard basis vector of and the tensor product of vectors is the affine Segre map . It follows from the above choices of bases that the multilinear multiplication becomes
The resulting tensor lives in .
Element-wise definition
From the above expression, an element-wise definition of the multilinear multiplication is obtained. Indeed, since is a multidimensional array, it may be expressed as where are the coefficients. Then it follows from the above formulae that
where is the Kronecker delta. Hence, if , then
where the are the elements of as defined above.
Properties
Let be an order-d tensor over the tensor product of -vector spaces.
Since a multilinear multiplication is the tensor product of linear maps, we have the following multilinearity property (in the construction of the map):
Multilinear multiplication is a linear map:
It follows from the definition that the composition of two multilinear multiplications is also a multilinear multiplication:
where and are linear maps.
Observe specifically that multilinear multiplications in different factors commute,
if
Computation
The factor-k multilinear multiplication can be computed in coordinates as follows. Observe first that
Next, since
there is a bijective map, called the factor-k standard flattening, denoted by , that ident |
https://en.wikipedia.org/wiki/Imieli%C5%84ski%E2%80%93Lipski%20algebra | In database theory, Imieliński–Lipski algebra is an extension of relational algebra onto tables with different types of null values. It is used to operate on relations with incomplete information.
Imieliński–Lipski algebras are defined to satisfy precise conditions for semantically meaningful extension of the usual relational operators, such as projection, selection, union, and join, from operators on relations to operators on relations with various kinds of "null values".
These conditions require that the system be safe in the sense that no incorrect conclusion is derivable by using a specified subset F of the relational operators; and that it be complete in the sense that all valid conclusions expressible by relational expressions using operators in F are in fact derivable in this system.
For example, it is well known that the three-valued logic approach to deal with null values, supported treatment of nulls values by SQL is not complete, see Ullman book.
To show this, let T be:
Take SQL query Q
SELECT NAME
FROM T
WHERE (CLASS = 'Networks' AND SEMESTER = 'Spring') OR (GRADE = 'A' AND SEMESTER <> 'Spring')
SQL query Q will return empty set (no results) under 3-valued semantics currently adopted by all variants of SQL. This is the case because in SQL, NULL is never equal to any constant – in this case, neither to “Spring” nor “Fall” nor “Winter” (if there is Winter semester in this school). NULL='Spring' will evaluate to MAYBE and so will NULL='Fall'. The disjunction MAYBE OR MAYBE evaluates to MAYBE (not TRUE). Thus Igor will not be part of the answer (and of course neither will Rohit). But Igor should be returned as the answer.
Indeed, regardless what semester Igor took the Networks class (no matter what was the unknown value of NULL), the selection condition will be true. This “Igor” will be missed by SQL and the SQL answer won’t be complete according to completeness requirements specified in Tomasz Imieliński, Witold Lipski, 'Incomplete Information in Relational Databases'. It is also argued there that 3-valued logic (TRUE, FALSE, MAYBE) can never provide guarantee of complete answer for tables with incomplete information.
Three algebras which satisfy conditions of safety and completeness are defined as Imielinski–Lipski algebras: the Codd-Tables algebra, the V-tables algebra and the Conditional tables (C-tables) algebra.
Codd-tables algebra
Codd-tables algebra is based on the usual Codd's singe NULL values. The table T above is an example of Codd-table. Codd-table algebra supports projection and positive selections only. It is also demonstrated in [IL84 that it is not possible to correctly extend more relational operators over Codd-Tables. For example, such basic operation as join is not extendable over Codd-tables. It is not possible to define selections with Boolean conditions involving negation and preserve completeness. For example, queries like the above query Q cannot be supported.
In order to be able t |
https://en.wikipedia.org/wiki/Mode-k%20flattening | In multilinear algebra, mode-m flattening, also known as matrixizing, matricizing, or unfolding, is an operation that reshapes a multi-way array into a matrix denoted by (a two-way array).
Matrixizing may be regarded as a generalization of the mathematical concept of vectorizing.
Definition
The mode-m matrixizing of tensor is defined as the matrix . As the parenthetical ordering indicates, the mode-m column vectors are arranged by sweeping all the other mode indices through their ranges, with smaller mode indexes varying more rapidly than larger ones; thus
where and
By comparison, the matrix that results from an unfolding has columns that are the result of sweeping through all the modes in a circular manner beginning with mode as seen in the parenthetical ordering. This is an inefficient way to matrixize.
Applications
This operation is used in tensor algebra and its methods, such as Parafac and HOSVD.
References
Algebra
Multilinear algebra |
https://en.wikipedia.org/wiki/Vitor%20Ressurrei%C3%A7%C3%A3o | Carlos Vitor da Costa Ressurreição (born 15 April 1985), known as Vitor Ressurreição or simply Vitor, is a Brazilian footballer who plays for PSTC as a goalkeeper.
Career statistics
Personal life
Ressurreição is a member of the Seventh-day Adventist Church and does not play on the Sabbath, having been baptized in the church denomination in December 2015.
References
External links
1985 births
Living people
Brazilian men's footballers
Men's association football goalkeepers
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Londrina Esporte Clube players
Brazilian Seventh-day Adventists
Converts to Adventism
Footballers from Rio de Janeiro (city) |
https://en.wikipedia.org/wiki/Elias%20Bid%C3%ADa | Elias Nascimento Felício (born 9 February 1992), known as Elias Bidía or Bidía, is a Brazilian footballer who plays for Londrina as a midfielder.
Career statistics
References
External links
Elias Bidia at ZeroZero
1992 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Londrina Esporte Clube players
Brusque Futebol Clube players
FC Cascavel players
Resende FC players |
https://en.wikipedia.org/wiki/Pierre%20Cassou-Nogu%C3%A8s | Pierre Cassou-Noguès (born 1971 in Tunis) is a French philosopher and writer.
Biography
He was admitted at the École Normale Supérieure in 1991. He obtained the agrégation in mathematics in 1995 and wrote his PhD in philosophy under the supervision of Jean-Michel Salanskis in 1999. From 2001 to 2011, he was research fellow at the CNRS. Since 2011, he has been Full Professor at Université Paris-VIII. He is also co-editor of the journal SubStance.
Research
His work is based on a theoretical use of fiction. Pierre Cassou-Nogues uses fiction as a method for exploring the possible and its limits. In this way, he intends to give to philosophy both a speculative scope and a critical impact: fiction enables the philosopher to consider the real in the light of the possible. In his most recent work, he applies this philosophy-fiction to explore the forms of life and modes of subjectivation induced by contemporary technology.
More broadly, his research focusses on four areas.
1. His early research concerns the role of the imaginary (dreams, fictions) in the work of scientists: Kurt Gödel, Norbert Wiener, or brain reading in neuroscience. He relies on the archives of scientists to look for fictions, personal dreams, superstitions sometimes, which interplay with their more serious work/
2. He has also investigated the relationship between imagination and science as it is questioned in French philosophy, as well as the question of the self at the intersection between reason and imagination. His work here concerns the historical epistemology of Brunschvicg, Cavaillès, Albert Lautman, Bachelard and its inheritance in contemporary philosophy.
3. In a series of works halfway between theory and literature, Pierre Cassou-Nogues uses fiction order to describe and conceptualize fields that philosophers tend to ignore, or repress: wasted time, phobias, seashores... Fields that philosophers most often avoid, preferring to talk about work rather than laziness, preferring the noble Angst to this absurd fear that is phobia, or preferring to set foot on firm land, where the tree of science is rooted, rather than exploring uncertain and moving shores.
4. His more recent work explores the contemporary relationship between technology and fiction. In 2019, he published a collection of short stories in which he investigates new forms of life and modes of subjectivation correlated with various technological apparatus. He has co-authored on a web documentary, Welcome to Erewhon, which is an adaptation of the novel Erewhon published by Samuel Butler in 1871. With Paul Harris, and the journal SubStance, he also has contributed to launching a collection of born digital theoretical works
Works
Hilbert, Paris, Éditions Les Belles Lettres, coll. « Figures du savoir », 2001, 169 p.
De l'expérience mathématique. Essai sur la philosophie des sciences de Jean Cavaillès, Paris, Éditions Vrin, coll. « Problèmes et controverses », 2001, 351 p.
Gödel, Paris, Éditions Les Bell |
https://en.wikipedia.org/wiki/Axiom%20of%20finite%20choice | In mathematics, the axiom of finite choice is a weak version of the axiom of choice which asserts that if is a family of non-empty finite sets, then
(set-theoretic product).
If every set can be linearly ordered, the axiom of finite choice follows.
Applications
An important application is that when is a measure space where is the counting measure and is a function such that
,
then for at most countably many .
References
Axioms of set theory
Axiom of choice |
https://en.wikipedia.org/wiki/Edgar%20Acu%C3%B1a | Edgar Acuña (born February 26, 1956) is a Professor of Statistics, Data Mining and Machine Learning at the University of Puerto Rico in UPRM.
Early life and education
Edgar Acuña was born on February 26, 1956, in Chincha Alta, Peru. He started his elementary school education at Chala and it continued at Huacho. After finishing his high school in the Colegio Emblemático Luis Fabio Xammar Jurado at Huacho, Professor Acuña continued undergraduate studies in Statistics at the National Agrarian University, UNALM in Lima, Peru, graduate studies in Applied Mathematics at the PUCP, in Lima, Peru, and doctoral studies in Statistics at the University of Rochester in Rochester, New York.
Honors
In July 2001, Acuña was considered by the Hispanic Engineer & IT magazine as one of the scientists to watch. In July 2003, he was considered by the same magazine among the Hispanic Power Hitters in Technology and Business. In 2009, was selected as Fulbright Scholar to visit Peruvian Universities.
Selected publications
Acuña is the author of "Statistical Analysis using Minitab" (written in Spanish) and published by Wiley and Sons in 2002.
He has several publications in data pre-processing for data mining and machine learning. In particular, in handling of missing values, outlier detection, and feature selection. Acuña along with his research group has developed the dprep library written in the R language. This library contains several R functions to perform data-peprocessing tasks.
References
External links
Edgar Acuña's website
Peruvian academics
Living people
1956 births
University of Rochester alumni
University of Puerto Rico faculty |
https://en.wikipedia.org/wiki/Johann%20Samuel%20Traugott%20Gehler | Johann Samuel Traugott Gehler (1 November 1751, in Görlitz – 16 October 1795, in Leipzig) was a German lawyer and physicist.
He studied mathematics, natural sciences and law at the University of Leipzig, obtaining his habilitation for mathematics in 1776 and his law degree the following year. While a student, his influences included physicist Johann Heinrich Winckler. In 1783 he became a city councilman in Leipzig, and from 1786 served as an associate at the Oberhofgericht Leipzig.
He is best remembered as the author of a popular dictionary of physical sciences, Physikalisches Wörterbuch, published from 1787 in six volumes. Decades later, the dictionary was edited and re-issued in 11 volumes (1825–45); its editors being Heinrich Wilhelm Brandes, Leopold Gmelin, Johann Caspar Horner, Carl Ludwig Littrow, Christian Heinrich Pfaff and Georg Wilhelm Muncke. In 1783 he published a German translation of Tiberius Cavallo's A complete treatise on electricity as Vollständige Abhandlung der theoretischen und praktischen Lehre von der Electricität. In 1796 his translation of Fourcroy's Philosophie chimique was published with the title Philosophie oder Grundwahrheiten der neuern Chemie.
References
1751 births
1795 deaths
People from Görlitz
Leipzig University alumni
18th-century German physicists |
https://en.wikipedia.org/wiki/Voronoi%20formula | In mathematics, a Voronoi formula is an equality involving Fourier coefficients of automorphic forms, with the coefficients twisted by additive characters on either side. It can be regarded as a Poisson summation formula for non-abelian groups. The Voronoi (summation) formula for GL(2) has long been a standard tool for studying analytic properties of automorphic forms and their L-functions. There have been numerous results coming out the Voronoi formula on GL(2). The concept is named after Georgy Voronoy.
Classical application
To Voronoy and his contemporaries, the formula appeared tailor-made to evaluate certain finite sums. That seemed significant because several important questions in number theory involve finite sums of arithmetic quantities. In this connection, let us mention two classical examples, Dirichlet’s divisor problem and the Gauss’ circle problem. The former estimates the size of d(n),
the number of positive divisors of an integer n. Dirichlet proved
where is Euler’s constant ≈ 0.57721566. Gauss’ circle problem concerns the average size of
for which Gauss gave the estimate
Each problem has a geometric interpretation, with D(X) counting lattice
points in the region , and lattice points in the
disc . These two bounds are related, as we shall see, and come
from fairly elementary considerations.
In the series of papers Voronoy developed geometric and analytic methods to improve both Dirichlet’s and Gauss’ bound. Most importantly in
retrospect, he generalized the formula by allowing weighted sums, at the expense of introducing more general integral operations on f than the Fourier transform.
Modern formulation
Let ƒ be a Maass cusp form for the modular group PSL(2,Z) and a(n) its Fourier coefficients. Let a,c be integers with (a,c) = 1. Let ω be a well-behaved test function. The Voronoi formula for ƒ states
where is a multiplicative inverse of a modulo c and Ω is a certain integral Hankel transform of ω. (see )
References
Miller, S. D., & Schmid, W. (2006). Automorphic distributions, L-functions, and Voronoi summation for GL(3). Annals of mathematics, 423–488.
Voronoï, G. (1904). Sur une fonction transcendente et ses applications à la sommation de quelques séries. In Annales Scientifiques de l'École Normale Supérieure (Vol. 21, pp. 207–267).
Automorphic forms
Analytic number theory |
https://en.wikipedia.org/wiki/Quasitopos | In mathematics, specifically category theory, a quasitopos is a generalization of a topos. A topos has a subobject classifier classifying all subobjects, but in a quasitopos, only strong subobjects are classified. Quasitoposes are also required to be finitely cocomplete and locally cartesian closed. A solid quasitopos is one for which 0 is a strong subobject of 1.
References
External links
Topos theory |
https://en.wikipedia.org/wiki/Matheus%20Salustiano | Matheus Salustiano Pires (born 19 April 1993) is a Brazilian footballer who plays for São Bernardo as a centre-back.
Career statistics
Honours
Confiança
Campeonato Sergipano: 2017
References
External links
Matheus Salustiano at ZeroZero
1993 births
Living people
People from Pindamonhangaba
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série C players
Botafogo de Futebol e Regatas players
Esporte Clube Vitória players
Oeste Futebol Clube players
Associação Desportiva Confiança players
Rio Claro Futebol Clube players
Associação Desportiva São Caetano players
Associação Ferroviária de Esportes players
Goiás Esporte Clube players
São Bernardo Futebol Clube players
Footballers from São Paulo (state) |
https://en.wikipedia.org/wiki/Ednei%20%28footballer%2C%20born%201990%29 | Ednei Barbosa de Souza (born 5 July 1990), known as Ednei, is a Brazilian footballer who plays for CSA as a defender.
Career statistics
References
External links
1990 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Esporte Clube Vitória players
Clube Atlético Linense players
Clube Atlético Bragantino players |
https://en.wikipedia.org/wiki/Jo%C3%ADlson%20%28footballer%2C%20born%201991%29 | Joílson de Jesus Cardoso (born 25 May 1991), simply known as Joílson, is a Brazilian footballer who plays as a central defender for Chapecoense.
Career statistics
Honours
Criciúma
Campeonato Catarinense: 2013
Chapecoense
Campeonato Catarinense: 2020
Campeonato Brasileiro Série B: 2020
References
External links
1991 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Criciúma Esporte Clube players
Camboriú Futebol Clube players
Clube Atlético Penapolense players
Oeste Futebol Clube players
Associação Chapecoense de Futebol players
Esporte Clube São Bento players
Footballers from Osasco |
https://en.wikipedia.org/wiki/Tom%20Clark%20%28footballer%29 | Thomas Clark was a professional footballer who played as a full-back.
Career statistics
Source:
References
English men's footballers
Men's association football fullbacks
Port Vale F.C. players
Sunderland A.F.C. players
Carlisle United F.C. players
Place of birth missing |
https://en.wikipedia.org/wiki/Billy%20Cotton%20%28footballer%2C%20born%201894%29 | William Charles Cotton (10 April 1894 – 1971) was an English professional footballer who played as an inside forward.
Career statistics
Source:
References
1894 births
1971 deaths
Footballers from Liverpool
English men's footballers
Men's association football inside forwards
South Liverpool F.C. (1890s) players
Wrexham A.F.C. players
Kettering Town F.C. players
Port Vale F.C. players
Connah's Quay & Shotton F.C. players
Halifax Town A.F.C. players
Crewe Alexandra F.C. players
Yeovil Town F.C. players
Prescot Cables F.C. players
English Football League players
Southern Football League players |
https://en.wikipedia.org/wiki/Axonometry | Axonometry is a graphical procedure belonging to descriptive geometry that generates a planar image of a three-dimensional object. The term "axonometry" means "to measure along axes", and indicates that the dimensions and scaling of the coordinate axes play a crucial role. The result of an axonometric procedure is a uniformly-scaled parallel projection of the object. In general, the resulting parallel projection is oblique (the rays are not perpendicular to the image plane); but in special cases the result is orthographic (the rays are perpendicular to the image plane), which in this context is called an orthogonal axonometry.
In technical drawing and in architecture, axonometric perspective is a form of two-dimensional representation of three-dimensional objects whose goal is to preserve the impression of volume or relief. Sometimes also called rapid perspective or artificial perspective, it differs from conical perspective and does not represent what the eye actually sees: in particular parallel lines remain parallel and distant objects are not reduced in size. It can be considered a conical perspective conique whose center has been pushed out to infinity, i.e. very far from the object observed.
The term axonometry is used both for the graphical procedure described below, as well as the image produced by this procedure.
Axonometry should not be confused with axonometric projection, which in English literature usually refers to orthogonal axonometry.
Principle of axonometry
Pohlke's theorem is the basis for the following procedure to construct a scaled parallel projection of a three-dimensional object:
Select projections of the coordinate axes, such that all three coordinate axes are not collapsed to a single point or line. Usually the z-axis is vertical.
Select for these projections the foreshortenings, , and , where
The projection of a point is determined in three sub-steps (the result is independent of the order of these sub-steps):
starting at the point , move by the amount in the direction of , then
move by the amount in the direction of , then
move by the amount in the direction of and finally
Mark the final position as point .
In order to obtain undistorted results, select the projections of the axes and foreshortenings carefully (see below). In order to produce an orthographic projection, only the projections of the coordinate axes are freely selected; the foreshortenings are fixed (see :de:orthogonale Axonometrie).
The choice of the images of the axes and the foreshortenings
Notation:
angle between -axis and -axis
angle between -axis and -axis
angle between -axis and -axis.
The angles can be chosen so that
The foreshortenings:
Only for suitable choices of angles and foreshortenings does one get undistorted images. The next diagram shows the images of the unit cube for various angles and foreshortenings and gives some hints for how to make these personal choices.
In order to keep the drawing simpl |
https://en.wikipedia.org/wiki/Salghari | Salghari () is a village in Sankhar village development committee Ward No-5, Syangja District, Gandaki Province, Nepal. According to the 2011 Nepal census, held by Central Bureau of Statistics, it had a total population of 41. There are 20 males and 21 females living in 12 households.
References
External links
MeroSyangja.Com
District Development Committee, Syangja
Populated places in Syangja District
Syangja District |
https://en.wikipedia.org/wiki/Samakot | Samakot () is a village in Sankhar village development committee Ward No-2, Syangja District, Gandaki Zone, Nepal. According to the 2011 Nepal census, held by Central Bureau of Statistics, it had a total population of 141. There are 120 males and 261 females living in 82 households.
References
External links
MeroSyangja.Com
District Development Committee, Syangja
Populated places in Syangja District
Syangja District |
https://en.wikipedia.org/wiki/Murchaur | Murchaur () is a village in Sankhar village development committee Ward No-9, Syangja District, Gandaki Zone, Nepal. According to the 2011 Nepal census, held by Central Bureau of Statistics, it had a total population of 241.
References
External links
MeroSyangja.Com
District Development Committee, Syangja
Populated places in Syangja District
Syangja District |
https://en.wikipedia.org/wiki/Manechaur | Manechaur () is a village in Sankhar village development committee Ward No-4, Syangja District, Gandaki Zone, Nepal. According to the 2011 Nepal census, held by Central Bureau of Statistics, it had a total population of 201.
References
External links
MeroSyangja.Com
District Development Committee, Syangja
Populated places in Syangja District
Syangja District |
https://en.wikipedia.org/wiki/Stuart%20Eccleston | Stuart Ian Eccleston (born 4 October 1961) is an English former professional footballer who played as a defender.
Career statistics
Source:
References
1961 births
Living people
Footballers from Stoke-on-Trent
English men's footballers
Men's association football defenders
Stoke City F.C. players
Hull City A.F.C. players
Stafford Rangers F.C. players
Port Vale F.C. players
English Football League players
National League (English football) players |
https://en.wikipedia.org/wiki/John%20McDougall%20%28footballer%2C%20born%201900%29 | John McDougall (born 8 December 1900) was a Scottish professional footballer who played as a wing half.
Career statistics
Source:
References
1900 births
Footballers from Hamilton, South Lanarkshire
Scottish men's footballers
Men's association football wing halves
Larkhall Thistle F.C. players
Motherwell F.C. players
Port Vale F.C. players
Accrington Stanley F.C. (1891) players
Vale of Leven F.C. players
New Bedford Whalers players
Scottish Football League players
English Football League players
American Soccer League (1921–1933) players
Year of death missing
Scottish expatriate sportspeople in the United States
Expatriate men's soccer players in the United States
Scottish expatriate men's footballers |
https://en.wikipedia.org/wiki/Joe%20McIntyre%20%28footballer%29 | Joseph Gerald McIntyre (born 19 June 1971) is an English former professional footballer who played as a full-back.
Career statistics
Source:
References
1971 births
Living people
People from Blackley
Footballers from Manchester
English men's footballers
Men's association football fullbacks
Manchester United F.C. players
Port Vale F.C. players
Rochdale A.F.C. players
English Football League players |
https://en.wikipedia.org/wiki/Tom%20Meigh | Thomas Meigh (6 June 1899 – 1972) was an English professional footballer who played as an inside forward.
Career statistics
Source:
References
1899 births
1972 deaths
Footballers from Stoke-on-Trent
English men's footballers
Men's association football inside forwards
Hanley Town F.C. players
Wrexham A.F.C. players
Port Vale F.C. players
English Football League players |
https://en.wikipedia.org/wiki/Howard%20Moore%20%28footballer%29 | Howard Moore (5 March 1947 – 9 October 2012) was an English professional footballer who played as a winger.
Career statistics
Sources:
References
1947 births
2012 deaths
Sportspeople from Canterbury
Footballers from Kent
English men's footballers
Men's association football wingers
Ashford United F.C. players
Coventry City F.C. players
Gillingham F.C. players
Southend United F.C. players
Port Vale F.C. players
Margate F.C. players
Canterbury City F.C. players
Dartford F.C. players
Southern Football League players
English Football League players |
https://en.wikipedia.org/wiki/Mike%20Moran%20%28footballer%29 | Michael Edward Moran (born 26 December 1935) was an English professional footballer who played as an inside forward.
Career statistics
Source:
References
1935 births
Sportspeople from Leek, Staffordshire
Footballers from Staffordshire
English men's footballers
Men's association football inside forwards
Port Vale F.C. players
Crewe Alexandra F.C. players
English Football League players
Living people |
https://en.wikipedia.org/wiki/Thomas%20Sproson | Thomas Sproson (9 December 1903 – 1976) was an English professional footballer who played as a goalkeeper.
Career statistics
Source:
References
1903 births
1976 deaths
Footballers from Stoke-on-Trent
English men's footballers
Men's association football goalkeepers
West Bromwich Albion F.C. players
Port Vale F.C. players
Burton United F.C. players
English Football League players |
https://en.wikipedia.org/wiki/Pat%20Rafter%20career%20statistics | This is a list of main career statistics of Australian former professional tennis player Pat Rafter. All statistics are according to the ATP World Tour and ITF website.
Grand Slam tournaments
Singles: 4 (2 titles, 2 runner-ups)
Doubles: 1 (1 title)
Other significant finals
Grand Slam Cup finals
Singles: 1 (0–1)
Masters Series tournaments
Singles: 6 (2 titles, 4 runner-ups)
Doubles: 4 (2 titles, 2 runner-ups)
Career finals
ATP Tour finals
Singles: 25 (11 titles, 14 runner-ups)
Doubles: 18 (10 titles, 8 runner-ups)
Performance timelines
Singles
1 Held as Stockholm Masters until 1994, Stuttgart Masters from 1995 to 2001.
Doubles
1 Held as Stockholm Masters until 1994, Stuttgart Masters from 1995 to 2001.
Top 10 wins
Career Grand Slam tournament seedings
The tournaments won by Rafter are bolded.
Singles
Doubles
Summer Olympics matches
Singles
ATP Tour career earnings
This list is incomplete; you can help by expanding it.
References
Rafter, Pat |
https://en.wikipedia.org/wiki/Bill%20Wright%20%28footballer%2C%20born%201914%29 | William Samuel Wright (born 1914) was an English professional footballer who played as a full-back.
Career statistics
Source:
References
1914 births
Footballers from Hanley, Staffordshire
English men's footballers
Men's association football fullbacks
Milton True Blues F.C. players
Stoke City F.C. players
Burton Town F.C. players
Port Vale F.C. players
Glentoran F.C. players
Barrow A.F.C. players
English Football League players
Year of death missing |
https://en.wikipedia.org/wiki/George%20F.%20Simmons | George Finlay Simmons (March 3, 1925 – August 6, 2019) was an American mathematician who worked in topology and classical analysis. He is known as the author of widely used textbooks on university mathematics.
Life
He was born on 3 March 1925 in Austin, Texas.
He received his BS degree from California Institute of Technology in 1946. He received his MS degree from University of Chicago in 1948. After finishing his PhD from Yale University in 1957, he joined Colorado College as a lecturer.
From 1957 to his death in 2019, he taught at a number of universities, which include Williams College, the University of Rhode Island, Yale University, the University of Maine, and the University of Chicago.
Quotes
In the algebra preface of his book Precalculus Mathematics in a Nutshell, Professor George F. Simmons wrote that the New Math produced students who had "heard of the commutative law, but did not know the multiplication table."
Selected publications
Some of his books are:
Introduction to Topology and Modern Analysis (1963)
Differential Equations with Applications and Historical Notes (1972, 1991, 2016)
Precalculus Mathematics in a Nutshell (1981)
Calculus with Analytic Geometry (1985, 1996)
Calculus Gems: Brief Lives and Memorable Mathematics (1992)
References
20th-century American mathematicians
1925 births
2019 deaths
Writers from Austin, Texas
Mathematicians from Texas
California Institute of Technology alumni
University of Texas alumni
21st-century American mathematicians
American textbook writers |
https://en.wikipedia.org/wiki/Theodore%20Gamelin | Theodore William Gamelin is an American mathematician. He is a professor emeritus of mathematics at the University of California, Los Angeles.
Gamelin was born in 1939.
He received his B.S. degree in mathematics from Yale University in 1960,
and completed his Ph.D. at the University of California, Berkeley in 1963. His doctoral advisor was František Wolf. His doctoral dissertation was titled The extension problem for restrictions of functions in a subspace of C(X).
He served as C.L.E. Moore Instructor at the Massachusetts Institute of Technology from 1963 to 1965, before joining the UCLA faculty.
In 2012, he became one of the inaugural Fellows of the American Mathematical Society.
Selected publications
Complex Analysis (Undergraduate Texts in Mathematics, Springer, 2001, )
Complex Dynamics (with Lennart Carleson, Universitext, Springer, 1993,
Introduction to Topology (with Robert Everist Greene, Saunders College Publishing, 1983, ; 2nd ed., Dover, 1999, )
Uniform Algebras and Jensen Measures (London Mathematical Society Lecture Note Series 32, Cambridge University Press, 1978, )
Uniform Algebras (Prentice-Hall, 1969)
References
External links
20th-century American mathematicians
1953 births
Living people
Yale College alumni
University of California, Berkeley alumni
Massachusetts Institute of Technology School of Science faculty
University of California, Los Angeles faculty
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Hamza%20Rhattas | Hamza Rhattas or Hamza Ghatas (born April 8, 1994 in Kenitra) is a Moroccan footballer who plays as forward for KAC Kénitra.
Career statistics
References
External links
1994 births
Living people
Moroccan men's footballers
Men's association football forwards
Kénitra AC players
MC Oujda players
IR Tanger players
Botola players
People from Kenitra |
https://en.wikipedia.org/wiki/Wholeness%20axiom | In mathematics, the wholeness axiom is a strong axiom of set theory introduced by Paul Corazza in 2000.
Statement
The wholeness axiom states roughly that there is an elementary embedding j from the Von Neumann universe V to itself. This has to be stated carefully to avoid Kunen's inconsistency theorem stating (roughly) that no such embedding exists.
More specifically, as Samuel Gomes da Silva states, "the inconsistency is avoided by omitting from the schema all instances of the Replacement Axiom for j-formulas".
Thus, the wholeness axiom differs from Reinhardt cardinals (another way of providing elementary embeddings from V to itself) by allowing the axiom of choice and instead modifying the axiom of replacement.
However, write that Corrazza's theory should be "naturally viewed as a version of Zermelo set theory rather than ZFC".
If the wholeness axiom is consistent, then it is also consistent to add to the wholeness axiom the assertion that all sets are hereditarily ordinal definable.
The consistency of stratified versions of the wholeness axiom, introduced by , was studied by .
References
External links
The Wholeness axiom in Cantor's attic
Large cardinals
Axioms of set theory |
https://en.wikipedia.org/wiki/Generating%20function%20transformation | In mathematics, a transformation of a sequence's generating function provides a method of converting the generating function for one sequence into a generating function enumerating another. These transformations typically involve integral formulas applied to a sequence generating function (see integral transformations) or weighted sums over the higher-order derivatives of these functions (see derivative transformations).
Given a sequence, , the ordinary generating function (OGF) of the sequence, denoted , and the exponential generating function (EGF) of the sequence, denoted , are defined by the formal power series
In this article, we use the convention that the ordinary (exponential) generating function for a sequence is denoted by the uppercase function / for some fixed or formal when the context of this notation is clear. Additionally, we use the bracket notation for coefficient extraction from the Concrete Mathematics reference which is given by .
The main article gives examples of generating functions for many sequences. Other examples of generating function variants include Dirichlet generating functions (DGFs), Lambert series, and Newton series. In this article we focus on transformations of generating functions in mathematics and keep a running list of useful transformations and transformation formulas.
Extracting arithmetic progressions of a sequence
Series multisection provides formulas for generating functions enumerating the sequence given an ordinary generating function where , , and . In the first two cases where , we can expand these arithmetic progression generating functions directly in terms of :
More generally, suppose that and that denotes the primitive root of unity. Then we have the following formula, often known as the root of unity filter:
For integers , another useful formula providing somewhat reversed floored arithmetic progressions are generated by the identity
Powers of an OGF and composition with functions
The exponential Bell polynomials, , are defined by the exponential generating function
The next formulas for powers, logarithms, and compositions of formal power series are expanded by these polynomials with variables in the coefficients of the original generating functions. The formula for the exponential of a generating function is given implicitly through the Bell polynomials by the EGF for these polynomials defined in the previous formula for some sequence of .
Reciprocals of an OGF (special case of the powers formula)
The power series for the reciprocal of a generating function, , is expanded by
If we let denote the coefficients in the expansion of the reciprocal generating function, then we have the following recurrence relation:
Powers of an OGF
Let be fixed, suppose that , and denote . Then we have a series expansion for given by
and the coefficients satisfy a recurrence relation of the form
Another formula for the coefficients, , is expanded by the Bell polynomials as
where |
https://en.wikipedia.org/wiki/Sayed%20Issa | Sayed Hassan Issa (Arabic:سيد حسن عيسى) (born 14 September 1997) is a Qatari born-Egyptian footballer. He currently plays for Umm Salal.
Career statistics
Club
Notes
References
External links
Qatari men's footballers
1997 births
Living people
Al-Duhail SC players
Al-Khor SC players
Al-Sailiya SC players
Umm Salal SC players
Place of birth missing (living people)
Naturalised citizens of Qatar
Qatari people of Egyptian descent
Qatar Stars League players
Men's association football defenders |
https://en.wikipedia.org/wiki/Thiago%20Santos%20%28footballer%2C%20born%201990%29 | Thiago dos Santos (born 2 October 1990), known as Thiago Santos, is a Brazilian footballer who plays as a forward.
Career statistics
References
External links
1990 births
Living people
Brazilian men's footballers
Lagarto Futebol Clube players
Ittihad Kalba FC players
Paraná Clube players
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série D players
Club Sportivo Sergipe players
Clube Atlético Bragantino players
Sampaio Corrêa Futebol Clube players
Clube Atlético Linense players
Brazilian expatriate men's footballers
Expatriate men's footballers in the United Arab Emirates
Brazilian expatriate sportspeople in the United Arab Emirates
UAE First Division League players
People from Aracaju
Footballers from Sergipe |
https://en.wikipedia.org/wiki/Gabrielzinho | Gabriel Airton de Souza (born 29 March 1996), known as Gabrielzinho, is a Brazilian footballer who play for Al Wasl as a winger.
Career statistics
References
External links
1996 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Campeonato Brasileiro Série D players
Primeira Liga players
UAE Pro League players
Clube Atlético Linense players
Rio Ave F.C. players
Moreirense F.C. players
Al Wasl F.C. players
Hatta Club players
Brazilian expatriate sportspeople in Portugal
Brazilian expatriate sportspeople in the United Arab Emirates
Expatriate men's footballers in Portugal
Expatriate men's footballers in the United Arab Emirates |
https://en.wikipedia.org/wiki/Hans%20van%20der%20Hoek | Johannes Willem "Hans" van der Hoek (5 May 1933, Rotterdam, Netherlands – 4 February 2017) was a Dutch footballer who was under contract at Feyenoord, SC Enschede, and ADO.
Statistics
Club band
Netherlands National Football Team
See also
List of Feyenoord players
List of Netherlands international footballers
External links
Interlands van Hans van der Hoek op voetbalstats.nl (Dutch)
1933 births
2017 deaths
Dutch men's footballers
Netherlands men's international footballers
Men's association football defenders
Feyenoord players
Sportclub Enschede players
ADO Den Haag players
Eredivisie players
Footballers from Rotterdam |
https://en.wikipedia.org/wiki/1998%E2%80%9399%20FK%20Sarajevo%20season | The 1998-1999 season was FK Sarajevo's 50th season in history, and their 5th consecutive season in the top flight of Bosnian football.
Players
Squad
(Captain)
Statistics
Kit
Competitions
Premier League
League table
References
FK Sarajevo seasons
Sarajevo |
https://en.wikipedia.org/wiki/Pantico | Francisco das Chagas Rodrigues Batista (born December 10, 1980), known by his nickname Pantico, is a Brazilian footballer who plays as forward for Altos.
Career statistics
References
External links
1980 births
Living people
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Clube Recreativo e Atlético Catalano players
Joinville Esporte Clube players
Associação Desportiva Recreativa e Cultural Icasa players
Brusque Futebol Clube players
Sociedade Esportiva e Recreativa Caxias do Sul players
Clube Atlético Metropolitano players
Paysandu Sport Club players
Footballers from Piauí
People from Oeiras, Piauí |
https://en.wikipedia.org/wiki/Bang%27s%20theorem%20on%20tetrahedra | In geometry, Bang's theorem on tetrahedra states that, if a sphere is inscribed within a tetrahedron, and segments are drawn from the points of tangency to each vertex on the same face of the tetrahedron, then all four points of tangency have the same triple of angles. In particular, it follows that the 12 triangles into which the segments subdivide the faces of the tetrahedron form congruent pairs across each edge of the tetrahedron. It is named after A. S. Bang, who posed it as a problem in 1897.
References
Theorems in geometry
Euclidean solid geometry |
https://en.wikipedia.org/wiki/Niel%20%28footballer%29 | Antoniel dos Santos França (born April 14, 1979 in Timon), known as Niel, is a Brazilian footballer who plays as right back.
Career statistics
Honours
Flamengo do Piauí
Campeonato Piauiense: 2003, 2009
Copa Piauí: 2009
Cuiabá
Campeonato Mato-Grossense: 2013
References
External links
1979 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Esporte Clube Flamengo players
Sociedade Esportiva Tiradentes players
River Atlético Clube players
América Futebol Clube (RN) players
Associação Cultural e Desportiva Potiguar players
Ceará Sporting Club players
Barras Futebol Club players
Esporte Clube Democrata players
4 de Julho Esporte Clube players
Sociedade Esportiva Picos players
Mogi Mirim Esporte Clube players
Treze Futebol Clube players
Agremiação Sportiva Arapiraquense players
Cuiabá Esporte Clube players
Parnahyba Sport Club players |
https://en.wikipedia.org/wiki/Rafael%20Ara%C3%BAjo%20%28footballer%2C%20born%201984%29 | Rafael Silva de Araújo (born November 16, 1984, in Vitória de Santo Antão), known as Rafael Araújo, is a Brazilian footballer who plays for Treze as defender.
Career statistics
References
External links
1984 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Caiçara Esporte Clube players
Alecrim Futebol Clube players
Nacional Atlético Clube (Patos) players
Associação Atlética Coruripe players
Centro Sportivo Alagoano players
Esporte Clube Flamengo players
Grêmio Barueri Futebol players
Itumbiara Esporte Clube players
Treze Futebol Clube players
Salgueiro Atlético Clube players
Campinense Clube players
Central Sport Club players
People from Vitória de Santo Antão |
https://en.wikipedia.org/wiki/Crumpling | In geometry and topology, crumpling is the process whereby a sheet of paper or other two-dimensional manifold undergoes disordered deformation to yield a three-dimensional structure comprising a random network of ridges and facets with variable density. The geometry of crumpled structures is the subject of some interest to the mathematical community within the discipline of topology. Crumpled paper balls have been studied and found to exhibit surprisingly complex structures with compressive strength resulting from frictional interactions at locally flat facets between folds. The unusually high compressive strength of crumpled structures relative to their density is of interest in the disciplines of materials science and mechanical engineering.
Significance
The packing of a sheet by crumpling is a complex phenomenon that depends on material parameters and the packing protocol. Thus the crumpling behaviour of foil, paper and poly-membranes differs significantly and can be interpreted on the basis of material foldability. The high compressive strength exhibited by dense crumple formed cellulose paper is of interest towards impact dissipation applications and has been proposed as an approach to utilising waste paper.
From a practical standpoint, crumpled balls of paper are commonly used as toys for domestic cats.
References
Topology
Manifolds
Deformation (mechanics)
Structural analysis
Materials science
Mechanical engineering |
https://en.wikipedia.org/wiki/L%C3%A9o%20Macei%C3%B3 | Leonardo de Magalhães Visgueiro Pereira (born August 11, 1987 in Maceió), known as Léo Maceió, is a Brazilian footballer who plays for Flamengo–PI as right back.
Career statistics
References
External links
1987 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Associação Atlética Coruripe players
Footballers from Maceió |
https://en.wikipedia.org/wiki/Dudu%20%28footballer%2C%20born%201982%29 | Carlos Eduardo Passos Farias (born February 10, 1982), known as Dudu, is a Brazilian footballer who plays for Mogi Mirim as midfielder.
Career statistics
References
External links
1982 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Moto Club de São Luís players
América Futebol Clube (MG) players
Associação Desportiva São Caetano players
Botafogo Futebol Clube (SP) players
Mogi Mirim Esporte Clube players |
https://en.wikipedia.org/wiki/Gustav%20Karsten | Gustav Karsten (24 November 1820 – 16 March 1900) was a German physicist.
Karsten was born in Berlin. He studied mathematics and sciences at the universities of Bonn and Berlin, receiving his doctorate in 1843 with the thesis Imponderabilium praesertim electricitatis theoria dynamica. At Berlin his teachers were Jakob Steiner, Peter Gustav Lejeune Dirichlet and Heinrich Wilhelm Dove. In 1845 he obtained his habilitation, and from 1847 to 1894 he was a professor of physics and mineralogy at the University of Kiel. At the university he held lectures on experimental and theoretical physics, mineralogy, physical geography and meteorology. He was the doctoral advisor of the influential German-American anthropologist Franz Boas. On four separate occasions he served as university rector (1859–61, 1863–65, 1867/68 and 1890/91). He died in Kiel, aged 79.
In 1845 he was a founding member of the Deutsche Physikalische Gesellschaft. In 1859 he was named director of the administration for the Elbherzogtümer, and from 1870 was a member of the Kommission zur Untersuchung deutscher Meere (Commission for the Scientific Research of the German Seas). For a period of time he was editor of the Fortschritte der Physik.
Selected works
Lehrgang der mechanischen Naturlehre für höhere Unterrichtsanstalten (3 volumes, 1851–53) – On the mechanical doctrine of nature for higher learning institutes.
Einleitung in die physik (with Friedrich Harms and Georg Daniel Eduard Weyer, 1856) – Introduction to physics.
Denkschrift über den grossen Norddeutschen Kanal zwischen Brunsbüttler Koog an der Elbe und dem Kieler Hafen, 1865 – Memorandum on the Great North German Canal between Brunsbüttel polder at the Elbe and Kiel Harbor.
He was the author of several scientific papers in the Annalen der Physik und Chemie, and of 17 biographies in the Allgemeine Deutsche Biographie.
References
1820 births
1900 deaths
Scientists from Berlin
Humboldt University of Berlin alumni
University of Bonn alumni
Academic staff of the University of Kiel
19th-century German physicists |
https://en.wikipedia.org/wiki/Naldinho%20%28footballer%2C%20born%201990%29 | Erivonaldo Florencio de Oliveira Filho (born May 12, 1990 in Caruaru), known as Naldinho, is a Brazilian footballer who plays for Tabajara FC as a midfielder.
Career statistics
References
External links
1990 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Sport Club do Recife players
São Bernardo Futebol Clube players
ABC Futebol Clube players |
https://en.wikipedia.org/wiki/Meta.Numerics | Meta.Numerics is an open-source library for advanced scientific computing on the .NET platform. It provides an object-oriented API supporting advanced functions, matrix algebra, statistics, optimization, and other numerical algorithms.
History
Version 1.0 was released in April 2009. The current version 4.1.4 was released in August 2020. It has been used in academic research and software development. It is listed in the software index of the Digital Library of Mathematical Functions.
References
External links
Meta.Numerics Website
Meta.Numerics Project on GitHub
Meta.Numerics Project on CodePlex
Numerical software
C Sharp libraries
Software using the MS-PL license |
https://en.wikipedia.org/wiki/Cris%20%28footballer%2C%20born%201979%29 | Cristiano Lima da Silva (born January 10, 1979 in Osasco), known as Cris, is a Brazilian footballer who plays for Catanduvense as defender.
Career statistics
Career
References
External links
1979 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série A players
Clube Atlético Bragantino players
Oeste Futebol Clube players
Footballers from Osasco |
https://en.wikipedia.org/wiki/Franci%20%28footballer%29 | Valmir Aparecido Franci de Campos Júnior (born April 16, 1990 in Capivari), known as Franci, is a Brazilian footballer who plays for Vila Nova as forward.
Career statistics
References
External links
1990 births
Living people
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série D players
Vitória S.C. players
Joinville Esporte Clube players
Botafogo Futebol Clube (SP) players
J2 League players
Albirex Niigata players |
https://en.wikipedia.org/wiki/Mikko%20Outinen | Mikko Outinen (born April 7, 1971) is a Finnish former professional ice hockey player. KooKoo of the Finnish Liiga retired his number (#36) after nine seasons with the franchise.
Career statistics
External links
1971 births
Living people
Finnish expatriate ice hockey players in Canada
Finnish expatriate ice hockey players in the United States
Finnish ice hockey defencemen
KooKoo players
People from Kuusankoski
Sportspeople from Kouvola
Regina Pats players
Västerviks IK players
Victoria Cougars (WHL) players
Waco Wizards players
Weyburn Red Wings players |
https://en.wikipedia.org/wiki/Qassem%20Lajami | Qassem Lajami (; born 24 April 1996) is a professional football player who plays as a defender for Saudi Professional League side Al-Fateh.
Career statistics
Club
References
External links
1996 births
Living people
Al-Muheet SC players
Al-Khaleej FC players
Al Fateh SC players
Saudi Arabian men's footballers
Saudi Arabia men's youth international footballers
Saudi Arabia men's international footballers
Saudi First Division League players
Saudi Pro League players
Men's association football defenders
Saudi Arabian Shia Muslims
Identical twin males |
https://en.wikipedia.org/wiki/Characterization%20of%20probability%20distributions | In mathematics in general, a characterization theorem says that a particular object – a function, a space, etc. – is the only one that possesses properties specified in the theorem. A characterization of a probability distribution accordingly states that it is the only probability distribution that satisfies specified conditions. More precisely, the model of characterization of
probability distribution was described by in such manner. On the probability space we define the space of random variables with values in measurable metric space and the space of random variables with values in measurable metric space . By characterizations of probability distributions we understand general problems of description of some set in the space by extracting the sets and which describe the properties of random variables and their images , obtained by means of a specially chosen mapping .
The description of the properties of the random variables and of their images is equivalent to the indication of the set from which must be taken and of the set into which its image must fall. So, the set which interests us appears therefore in the following form:
where denotes the complete inverse image of in . This is the general model of characterization of probability distribution. Some examples of characterization theorems:
The assumption that two linear (or non-linear) statistics are identically distributed (or independent, or have a constancy regression and so on) can be used to characterize various populations. For example, according to George Pólya's characterization theorem, if and are independent identically distributed random variables with finite variance, then the statistics and are identically distributed if and only if and have a normal distribution with zero mean. In this case
,
is a set of random two-dimensional column-vectors with independent identically distributed components, is a set of random two-dimensional column-vectors with identically distributed components and is a set of two-dimensional column-vectors with independent identically distributed normal components.
According to generalized George Pólya's characterization theorem (without condition on finiteness of variance ) if are non-degenerate independent identically distributed random variables, statistics and are identically distributed and , then is normal random variable for any . In this case
,
is a set of random n-dimensional column-vectors with independent identically distributed components, is a set of random two-dimensional column-vectors with identically distributed components and is a set of n-dimensional column-vectors with independent identically distributed normal components.
All probability distributions on the half-line that are memoryless are exponential distributions. "Memoryless" means that if is a random variable with such a distribution, then for any numbers ,
.
Verification of conditions of characterization theorems in practice is p |
https://en.wikipedia.org/wiki/Math%20library | In computer science, a math library (or maths library) is a component of a programming language's standard library containing functions (or subroutines) for the most common mathematical functions, such as trigonometry and exponentiation. Bit-twiddling and control functionalities related to floating point numbers may also be included (such as in C).
Examples include:
the C standard library math functions,
Java maths library
'Prelude.Math' in haskell.
In some languages (such as haskell) parts of the standard library (including maths) are imported by default.
More advanced functionality such as linear algebra is usually provided in 3rd party libraries, such as a linear algebra library or vector maths library.
Implementation outline
Basic operations
In a math library, it is frequently useful to use type punning to interpret a floating-point number as an unsigned integer of the same size. This allows for faster inspection of certain numeral properties (positive or not) and number comparison. In more advanced cases, bit twiddling may be used to modify a number in a specific way.
For more exact operation, a double double or even triple double format may be used. In this case, a high-precision number is expressed as the sum of two or three floating-point numbers.
Transcendental functions
Transcendental functions such as log, exponential, and trig functions make up the backbone of any math library. These functions are generally implemented by a polynomial fit, usually a Taylor polynomial or a Chebyshev polynomial derived by the Remez algorithm (having the benefit of an improved error bound), but the pre-processing steps are equally important.
Trignometry
Range reduction (also argument reduction, domain-spltting) is the first step for any function, after checks for unusual values (infinity and NaN) are performed. The goal here is to reduce the domain of the argument for the polynomial to process, using the function's symmetry and periodicity (if any), setting flags to indicate e.g. whether to negate the result in the end (if needed). It is worth noting that periodic functions require higher-than-input precision when reducing, with the prototypical method being the Payne–Hanek–Corbett algorithm. After range reduction, near-zero values may be subject to a "fast path": for example, a tiny input can be returned directly in sin, while may be used for cos.
The next step is the evaluation of the polynomial, with a conventional Horner's method used. After that, the sign of the result can be flipped according to the information from the range-reduction routine before being returned.
Logarithm and exponential
Logarithm in base 2 is relatively straightforward, as the integer part k is already in the floating-point exponent; a preliminary range reduction is accordingly performed, yielding k. The mantissa x (where log2(x) is between -1/2 and 1/2) is then compared to a table and intervals for further reduction into a z with known log2 and an in-ran |
https://en.wikipedia.org/wiki/Hassan%20Al-Qayd | Hassan Al-Qayd (; born 13 April 1998) is a Saudi Arabian professional footballer who currently plays as a winger for Abha.
Career statistics
Club
References
External links
1998 births
Living people
People from Jizan Province
Men's association football wingers
Saudi Arabian men's footballers
Baish FC players
Al Shabab FC (Riyadh) players
Al-Khaleej FC players
Abha Club players
Al-Ahli Saudi FC players
Place of birth missing (living people)
Saudi Pro League players
Saudi First Division League players |
https://en.wikipedia.org/wiki/Newton%20Gateway%20to%20Mathematics | The Newton Gateway to Mathematics, formerly known as the Turing Gateway to Mathematics (TGM), is a knowledge exchange center at the University of Cambridge in the UK. It is overseen by both the Isaac Newton Institute and the Centre for Mathematical Sciences.
Newton Gateway organizes multiple events and workshops that feature speakers from various industries, governments and scientific organizations to discuss mathematical techniques and models. Previous speakers have been from many corporate backgrounds.
Goals
A primary function of the Newton Gateway to Mathematics is to provide a research site and knowledge pool for the transfer, translation, exchange and dissemination of mathematical knowledge and for specific problem-solving.
The organization's events attract international attendees, with the aim of collaborating on programs that can be applied to industrial operations, academic research and community projects.
History
2013
Originally named after the UK computer scientist and mathematician Alan Turing, the Newton Gateway to Mathematics was seed financed in 2003 by the University of Cambridge's Higher Education Innovation Funding. Subsequent funding came from corporate and philanthropic partners.
One of the first initiatives that set programs in motion at the then Turing Gateway to Mathematics was the first UK workshop on Optimization in Space Engineering (OSE) in November 2013 . Held in Birmingham, this workshop in association with the European Space Agency (ESA) and the University of Southampton, some of the agenda included:
Interplanetary trajectory optimization
Non-circular spacecraft orbits
Landing trajectories
A follow-up workshop on Optimization in Space Engineering laid the groundwork for identifying challenges in the UK's aerospace industry. A third OSE workshop in September 2015 planned future workshops to further discuss problems and solutions for space engineering.
It rebranded to become the Newton Gateway to Mathematics in January 2019.
2014 and 2015
The program was presented to explore solutions for the public sector, funded by the Engineering and Physical Sciences Research Council (EPSRC). Following a launch event at the Royal Society in London, subsequent events attracted delegates from government and academic organizations to focus on mathematics and public policy issues. The main themes consisted of the following:
Mathematics for future cities systems
Mathematical modeling of transport
Energy systems relating to modeling variability
Environment and climate change probability modelling
Health and society workshop associated with math insights
Understanding data from various perspectives
Optimization of Immunization programs
Aging population preparation and shifting demographics
Health and disability modeling
The Newton Gateway to Mathematics began publishing its quarterly newsletter in January 2015. This publication keeps partners and other interested individuals up to data on its events, programs and w |
https://en.wikipedia.org/wiki/Alif%20Haikal%20Sabri | Muhammad Alif Haikal bin Mohd Sabri (born 19 October 1995) is a Malaysian footballer who plays for PKNS as a midfielder.
Career statistics
Club
References
External links
Malaysian men's footballers
Malaysia Super League players
Selangor F.C. II players
Living people
1995 births
Men's association football midfielders |
https://en.wikipedia.org/wiki/Alif%20Yusof | Mohd Alif Bin Mohd Yusof (born 19 January 1991) is a Malaysian footballer who currently plays as a defender for Malaysian club Kedah.
Career statistics
Club
Honours
Club
Kedah
Malaysia FA Cup: 2019
References
External links
1991 births
Living people
Malaysian people of Malay descent
Malaysian men's footballers
FELDA United F.C. players
Malaysia Super League players
Men's association football defenders
Footballers from Sabah |
https://en.wikipedia.org/wiki/Roger%20Horn | Roger Alan Horn (born January 19, 1942) is an American mathematician specializing in matrix analysis. He was research professor of mathematics at the University of Utah. He is known for formulating the Bateman–Horn conjecture with Paul T. Bateman on the density of prime number values generated by systems of polynomials. His books Matrix Analysis and Topics in Matrix Analysis, co-written with Charles R. Johnson, are standard texts in advanced linear algebra.
Career
Roger Horn graduated from Cornell University with high honors in mathematics in 1963, after which he completed his PhD at Stanford University in 1967. Horn was the founder and chair of the Department of Mathematical Sciences at Johns Hopkins University from 1972 to 1979. As chair, he held a series of short courses for a monograph series published by the Johns Hopkins Press. He invited Gene Golub and Charles Van Loan to write a monograph, which later became the seminal Matrix Computations text book. He later joined the Department of Mathematics at the University of Utah as research professor. In 2007, the journal Linear Algebra and its Applications published a special issue in honor of Roger Horn. He was Editor of The American Mathematical Monthly during 1997–2001.
Personal life
In 1987, Horn submitted testimony to the US Senate Subcommittee on Transportation regarding the 1987 Maryland train collision which killed his 16-year-old daughter Ceres who was returning to Princeton University from the family home in Baltimore for her freshman year fall term final exams.
Bibliography
References
Living people
20th-century American mathematicians
21st-century American mathematicians
Cornell University alumni
Stanford University alumni
Johns Hopkins University faculty
University of Utah faculty
Place of birth missing (living people)
1942 births
Linear algebraists
The American Mathematical Monthly editors |
https://en.wikipedia.org/wiki/Jing-Song%20Huang | Jing-Song Huang is a Chair Professor in the Department of Mathematics of Hong Kong University of Science and Technology. His research interests are representations of Lie groups and harmonic analysis. After graduating from Peking University, he went to Massachusetts Institute of Technology and received his PhD degree in 1989, under the supervision of David Vogan.
Joint with Pavle Pandzic from University of Zagreb, Croatia, Huang proved a conjecture of David Vogan on Dirac cohomology, published in the Journal of the American Mathematical Society.
Selected publications
Awards and honors
Huang was a recipient of the State Natural Science Award of China (second class) in 2002, and Senior Research Fellowship in 2004 by the Croucher Foundation.
References
Living people
Academic staff of the Hong Kong University of Science and Technology
Peking University alumni
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Henrique%20Mattos | Henrique Mendonça de Mattos (born July 25, 1990 in Ribeirão Preto), known as Henrique Mattos, is a Brazilian footballer who plays for Imperatriz as defender.
Career statistics
References
External links
1990 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série D players
Botafogo Futebol Clube (SP) players
Sport Club do Recife players
Joinville Esporte Clube players
Grêmio Osasco Audax Esporte Clube players
Campinense Clube players
Sociedade Imperatriz de Desportos players
Footballers from Ribeirão Preto |
https://en.wikipedia.org/wiki/1997%E2%80%9398%20FK%20Sarajevo%20season | The 1997-1998 season was FK Sarajevo's 49th season in history, and their 4th consecutive season in the top flight of Bosnian football.
Players
Squad
(Captain)
(vice captain)
Statistics
Kit
Competitions
Premier League
Regular season
Play-offs
Group Mostar
Final
References
FK Sarajevo seasons
Sarajevo |
https://en.wikipedia.org/wiki/Mark%20Knoller | Mark Knoller is a former correspondent with CBS best known for his reporting on the White House. He has covered every American president since Gerald Ford, and started gathering statistics on the presidents' daily activities in 1996.
Early life
Knoller is originally from Brooklyn, NY and graduated from New York University.
Career
On May 28, 2020, it was reported that CBS had laid off Knoller. He tweeted that day that he was still on the job and was waiting to see what he would do next. The layoff was greeted by a tremendous outpouring of support for Knoller from all sides of the political divide.
References
External links
Living people
CBS News people
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Lao%20Statistics%20Bureau | Lao Statistics Bureau is the state agency charged with the collection and publication of statistics related to the economy, population and society of Laos.
References
External links
LSB
Government of Laos
Laos |
https://en.wikipedia.org/wiki/Poplar%20Ridge%2C%20Alberta%20%28designated%20place%29 | Poplar Ridge is an unincorporated community in Alberta, Canada within Red Deer County that is recognized as a designated place by Statistics Canada. The community is located on the north side of Highway 11 between Range Road 283 and Range Road 284. Poplar Ridge is west of the City of Red Deer and east of the Town of Sylvan Lake.
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Poplar Ridge had a population of 329 living in 127 of its 128 total private dwellings, a change of from its 2016 population of 353. With a land area of , it had a population density of in 2021.
As a designated place in the 2016 Census of Population conducted by Statistics Canada, Poplar Ridge had a population of 559 living in 196 of its 196 total private dwellings, a change of from its 2011 population of 565. With a land area of , it had a population density of in 2016.
See also
List of communities in Alberta
List of designated places in Alberta
References
Designated places in Alberta
Localities in Red Deer County |
https://en.wikipedia.org/wiki/Mourad%20Batna | Mourad Batna (born 27 June 1990) is a Moroccan footballer currently plays for Al-Fateh as a winger.
Career statistics
Assist Goals(League only)
Honours
FUS Rabat
Botola: 2015–16
Throne Cup: 2013–14; runner-up: 2014–15
Al Wahda FC
UAE League Cup: 2017–18
UAE Super Cup: 2017, 2018
Individual
Saudi Professional League Player of the Month: April 2023
Saudi Professional League Team of the Season: 2022–23
References
External links
1990 births
Living people
Moroccan men's footballers
Moroccan expatriate men's footballers
Men's association football wingers
Hassania Agadir players
Fath Union Sport players
Emirates Club players
Al Wahda FC players
Al Jazira Club players
Al Fateh SC players
UAE Pro League players
Saudi Pro League players
Expatriate men's footballers in the United Arab Emirates
Moroccan expatriate sportspeople in the United Arab Emirates
Expatriate men's footballers in Saudi Arabia
Moroccan expatriate sportspeople in Saudi Arabia
2016 African Nations Championship players
Morocco men's A' international footballers |
https://en.wikipedia.org/wiki/KK%20Kvarner%20in%20international%20competitions | KK Kvarner history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
Record
KK Kvarner has overall, from 1977–78 (first participation) to 2001–02 (last participation): 6 wins against 11 defeats and 1 draw in 18 games for all the European club competitions.
EuroLeague: –
FIBA Saporta Cup: 2–6 in 8 games
FIBA Korać Cup: 4–5 plus 1 draw in 10 games
References
External links
FIBA Europe
Yugoslav basketball clubs in European and worldwide competitions
Basketball teams in Croatia |
https://en.wikipedia.org/wiki/Raphael%20Andrade | Raphael Andrade da Silva (born September 7, 1982 in Rio de Janeiro), known as Raphael Andrade, is a Brazilian footballer who plays for GAMA as defender.
Career statistics
References
External links
1982 births
Living people
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Brasiliense FC players
Clube Atlético Bragantino players
Footballers from Rio de Janeiro (city)
Brazilian men's footballers |
https://en.wikipedia.org/wiki/Watanabe%E2%80%93Akaike%20information%20criterion | In statistics, the widely applicable information criterion (WAIC), also known as Watanabe–Akaike information criterion, is the generalized version of the Akaike information criterion (AIC) onto singular statistical models.
Widely applicable Bayesian information criterion (WBIC) is the generalized version of Bayesian information criterion (BIC) onto singular statistical models.
WBIC is the average log likelihood function over the posterior distribution with the inverse temperature > 1/log n where n is the sample size.
Both WAIC and WBIC can be numerically calculated without any information about a true distribution.
See also
Akaike information criterion
Bayesian information criterion
Deviance information criterion
Hannan–Quinn information criterion
Shibata information criterion
References
Model selection
Bayesian statistics |
https://en.wikipedia.org/wiki/Geandro | Geandro Augusto de Paula (born November 26, 1987 in Jacareí), known as Geandro, is a Brazilian footballer who plays for São Bernardo as midfielder.
Career statistics
References
External links
1987 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série D players
Cianorte Futebol Clube players
Clube Atlético Bragantino players |
https://en.wikipedia.org/wiki/1996%E2%80%9397%20FK%20Sarajevo%20season | The 1996-1997 season was FK Sarajevo's 48th season in history, and their 3rd consecutive season in the top flight of Bosnian football.
Players
Squad
(Captain)
(Captain)
Statistics
Kit
Competitions
Premier League
League table
References
FK Sarajevo seasons
Sarajevo |
https://en.wikipedia.org/wiki/Ivan%20Ljubi%C4%8Di%C4%87%20career%20statistics | This is a list of main career statistics of Croatian former professional tennis player Ivan Ljubičić. All statistics are according to the ATP World Tour and ITF website.
Significant finals
Olympics medal matches
Doubles: 1 (1 bronze medal)
ATP Masters Series tournaments
Singles: 4 (1 title, 3 runners-up)
Career finals
ATP career finals
Singles: 24 (10 titles, 14 runners-up)
Doubles: 4 (4 runners-up)
Performance timelines
Current till 2012 Monte-Carlo Rolex Masters.
Singles
Record against top 10 players
Ljubičić's record against players who held a top 10 ranking, with those who reached No. 1 in bold
Singles
Arnaud Clément 10–2
Mikhail Youzhny 8–1
Mario Ančić 5–1
Tommy Robredo 5–1
Paradorn Srichaphan 5–2
Thomas Johansson 5–3
David Nalbandian 5–4
Nicolas Kiefer 4–0
Tim Henman 4–1
James Blake 4–2
Sébastien Grosjean 4–2
Gaël Monfils 4–3
Carlos Moyá 4–3
Nikolay Davydenko 4–4
Fernando González 4–4
Andy Roddick 4–7
Karol Kučera 3–0
Fernando Verdasco 3–1
Nicolás Almagro 3–2
Tomáš Berdych 3–2
Mardy Fish 3–2
Yevgeny Kafelnikov 3–2
Nicolás Lapentti 3–2
Gilles Simon 3–2
Robin Söderling 3–2
Juan Carlos Ferrero 3–3
Jo-Wilfried Tsonga 3–3
Stan Wawrinka 3–3
Andy Murray 3–4
Rainer Schüttler 3–5
Roger Federer 3–13
Kei Nishikori 2–0
Marin Čilić 2–1
Joachim Johansson 2–1
Nicolás Massú 2–1
Juan Mónaco 2–1
Andre Agassi 2–2
Marat Safin 2–2
Janko Tipsarević 2–2
Guillermo Coria 2–3
Gastón Gaudio 2–3
Tommy Haas 2–3
Marcos Baghdatis 2–4
Gustavo Kuerten 2–5
Novak Djokovic 2–7
Rafael Nadal 2–7
Ernests Gulbis 1–0
Goran Ivanišević 1–0
Todd Martin 1–0
Andriy Medvedev 1–0
Mark Philippoussis 1–0
Cédric Pioline 1–0
Greg Rusedski 1–0
Albert Costa 1–1
Juan Martín del Potro 1–1
Thomas Enqvist 1–1
Félix Mantilla 1–2
Radek Štěpánek 1–2
Magnus Norman 1–3
Wayne Ferreira 1–4
David Ferrer 1–6
Jonas Björkman 0–1
Lleyton Hewitt 0–1
Richard Krajicek 0–1
Magnus Larsson 0–1
Guillermo Cañas 0–2
Àlex Corretja 0–2
Richard Gasquet 0–2
Mariano Puerta 0–2
Jiří Novák 0–3
Marcelo Ríos 0–3
Marc Rosset 0–3
Jürgen Melzer 0–5
Wins per season
National participation
Team competitions finals: 2 (2 titles)
Davis Cup (36–19)
Source:
Notes
References
Ljubicic, Ivan |
https://en.wikipedia.org/wiki/Kristj%C3%A1n%20Fl%C3%B3ki%20Finnbogason | Kristján Flóki Finnbogason (born 12 January 1995) is an Icelandic football forward who plays for KR Reykjavík.
Career statistics
Club
International career
Kristján has been involved with the U-19 and U-21 teams, and made his senior team debut against Mexico on 8 February 2017.
International goals
References
External links
1995 births
Living people
Kristjan Floki Finnbogason
Kristjan Floki Finnbogason
Kristjan Floki Finnbogason
Kristjan Floki Finnbogason
Kristjan Floki Finnbogason
IK Start players
IF Brommapojkarna players
Expatriate men's footballers in Denmark
Expatriate men's footballers in Norway
Kristjan Floki Finnbogason
Kristjan Floki Finnbogason
Kristjan Floki Finnbogason
Eliteserien players
Norwegian First Division players
Danish Superliga players
Allsvenskan players
Men's association football forwards
Expatriate men's footballers in Sweden
Kristján Flóki Finnbogason |
https://en.wikipedia.org/wiki/Electronic%20Transactions%20on%20Numerical%20Analysis | Electronic Transactions on Numerical Analysis is a
peer-reviewed scientific open access journal publishing original research in
applied mathematics with the focus on numerical analysis and
scientific computing.
It is published by the Kent State University and the Johann Radon Institute for Computational and
Applied Mathematics (RICAM). Articles for this journal are published in electronic form
on the journal's web site. The journal is one of the oldest scientific open access journals in
mathematics.
The Electronic Transactions on Numerical Analysis were
founded in 1992 by Richard S. Varga, Arden Ruttan, and
Lothar Reichel (all Kent State University) as a fully open access journal (no fee for reader or authors).
The first issue appeared in September 1993.
The current editors-in-chief are Lothar Reichel and Ronny Ramlau.
Editors-in-chief
1993–2008: Richard S. Varga
1993–1998: Arden Ruttan
2005–2013: Daniel Szyld
since 1993: Lothar Reichel
since 2010: Ronny Ramlau
No-fee open access and copyright
Since its foundation, the journal follows an open access policy that allows free access to readers and charges no fee for authors ("diamond open access"). Authors transfer the copyright of published articles to the editors. This publication model is based on the one hand on support of the editing institutions and on donations. On the other hand, the editing process is carried out by volunteers from the scientific community.
Abstracting and indexing
The journal is abstracted and indexed in the
Science Citation Index Expanded
Mathematical Reviews,
and Zentralblatt MATH.
According to the Journal Citation Reports,
the journal has a 2015 impact factor of
0.671 (highest 1.261 in 2012)
External links
Official website (RICAM)
Official website (Kent)
References
Academic journals established in 1992
Mathematics journals
Open access journals
English-language journals |
https://en.wikipedia.org/wiki/Statistics%20of%20the%20National%20Games%20of%20China | This article involves the historical statistics of the National Games of China.
Host cities
List of the National Games
Notes:
OE: Official events.
DE: Demonstration events.
All-time medal table
Medal count
References
Sports records and statistics |
https://en.wikipedia.org/wiki/List%20of%20Blaze%20and%20the%20Monster%20Machines%20episodes | Blaze and the Monster Machines is a CGI-animated computer-animated interactive children's television series with a focus on teaching STEM (science, technology, engineering and mathematics) that premiered on Nickelodeon on October 13, 2014. The series revolves around Blaze, a monster truck, and his driver, AJ, as they have adventures in Axle City and learn about various STEM concepts which help them on their way. Joining them is the human mechanic Gabby and their monster truck friends Stripes, Starla, Darington and Zeg as well as their rival Crusher and his sidekick Pickle. Then later on, Watts joins the main cast in Season 3.
Series overview
Episodes
Season 1 (2014–15)
Season 2 (2015–16)
Season 3 (2016–18)
Season 4 (2018–19)
Season 5 (2019–20)
Season 6 (2020–22)
Season 7 (2022–23)
Shorts (2020)
Monster Machine Halloween
The Monster Machine Christmas Extravaganza
Blaze Family Photos
Pickle's Ocean Adventures
Pickle's Pirate Professionals
Notes
References
Lists of American children's animated television series episodes
Lists of Canadian children's animated television series episodes
Lists of Nickelodeon television series episodes |
https://en.wikipedia.org/wiki/Angie%20Turner%20King | Angie Lena Turner King (December 9, 1905February 28, 2004) was an American chemist, mathematician, and educator. King was an instructor of chemistry and mathematics at West Virginia State High School, and a professor of chemistry and mathematics at West Virginia State College (present-day West Virginia State University) in Institute.
Born in the segregated coal-mining community of Elkhorn in McDowell County, West Virginia, in 1905, she had a difficult childhood following her mother's death when she was eight years old. King graduated from high school at age 14 in 1919, and studied at Bluefield Colored Institute (present-day Bluefield State College) before transferring to West Virginia State (then known as the West Virginia Collegiate Institute). She graduated cum laude from West Virginia State in 1927 with a Bachelor of Science degree in chemistry and mathematics. King began her career in education at West Virginia State High School, West Virginia State's laboratory high school; she attended graduate school during the summers at Cornell University, where she received a master's degree in physical chemistry in 1931.
After teaching high school for eight years, King became an associate professor at West Virginia State College and refurbished its laboratory to improve the quality of her students' scientific research. Following the outbreak of World War II, she taught chemistry to soldiers in West Virginia State's Army Specialized Training Program (ASTP) unit. King later attended the University of Pittsburgh, where she became a Doctor of Philosophy in general education in 1955. She mentored several notable students, including entomologist and activist Margaret Strickland Collins, mathematician Katherine Johnson, and Jasper Brown Jeffries of the Manhattan Project. King chaired West Virginia State College's Division of Natural Resources and Mathematics before retiring from the college in 1980. She continued to live on the West Virginia State campus after her retirement, and in 1992 the school presented her with an honorary Doctor of Laws degree.
Early life and education
Angie Lena Turner King (née Turner) was born in the segregated coal-mining community of Elkhorn in McDowell County, West Virginia, on December 9, 1905. She was the daughter of William Turner and his wife, Laura King Turner, who were from Virginia. King had two siblings: Sylvia and Irving. She was the grandchild of Virginia slaves, who were provided with land, a steer, and a log cabin after their emancipation. She had a difficult childhood; her mother died when she was eight and she was sent to live with her light-skinned maternal grandmother, who referred to her with a pejorative term because of her darker skin tone. King eventually lived with her father, who was illiterate and encouraged her to do well at school; her father died on November 8, 1927, after he was run over by a mining car.
She graduated from high school at age 14 in 1919. Because of King's good grades in high school, |
https://en.wikipedia.org/wiki/Philadelphia%2076ers%20accomplishments%20and%20records | This page details the all-time statistics, records, and other achievements pertaining to the Philadelphia 76ers.
Individual awards
NBA MVP
Wilt Chamberlain – 1966–1968
Julius Erving – 1981
Moses Malone – 1983
Allen Iverson – 2001
Joel Embiid – 2023
NBA Finals MVP
Moses Malone – 1983
NBA Defensive Player of the Year
Dikembe Mutombo – 2001
NBA Rookie of the Year
Allen Iverson – 1997
Michael Carter-Williams – 2014
Ben Simmons – 2018
NBA Sixth Man of the Year
Bobby Jones – 1983
Aaron McKie – 2001
NBA Most Improved Player of the Year
Dana Barros – 1995
NBA Coach of the Year
Dolph Schayes – 1966
Larry Brown – 2001
NBA Sportsmanship Award
Eric Snow – 2000
J. Walter Kennedy Citizenship Award
Julius Erving – 1983
Dikembe Mutombo – 2001
Samuel Dalembert – 2010
NBA scoring champion
Wilt Chamberlain – 1965, 1966
Allen Iverson – 1999, 2001, 2002, 2005
Joel Embiid- 2022, 2023
NBA All-Star Game head coaches
Al Cervi – 1952, 1955
Alex Hannum – 1968
Gene Shue – 1977
Billy Cunningham – 1978, 1980, 1981, 1983
Larry Brown – 2000
Doc Rivers – 2021
All-NBA First Team
Dolph Schayes – 1952–1955, 1957, 1958
Wilt Chamberlain – 1966–1968
Billy Cunningham – 1969–1971
George McGinnis – 1976
Julius Erving – 1978, 1980–1983
Moses Malone – 1983, 1985
Charles Barkley – 1988–1991
Allen Iverson – 1999, 2001, 2005
Joel Embiid – 2023
All-NBA Second Team
Al Cervi – 1950
Dolph Schayes – 1950, 1951, 1956, 1959–1961
Paul Seymour – 1954, 1955
Larry Costello – 1961
Hal Greer – 1963–1969
Wilt Chamberlain – 1965
Billy Cunningham – 1972
George McGinnis – 1977
Julius Erving – 1977, 1984
Moses Malone – 1984
Charles Barkley – 1986, 1987, 1992
Allen Iverson – 2000, 2002, 2003
Dikembe Mutombo – 2001
Joel Embiid – 2018, 2019, 2021, 2022
All-NBA Third Team
Dikembe Mutombo – 2002
Allen Iverson – 2006
Ben Simmons – 2020
NBA All-Defensive First Team
Bobby Jones – 1979–1984
Caldwell Jones – 1981, 1982
Maurice Cheeks – 1983–1986
Moses Malone – 1983
Dikembe Mutombo – 2001
Robert Covington – 2018
Ben Simmons – 2020, 2021
NBA All-Defensive Second Team
Bobby Jones – 1985
Maurice Cheeks – 1987
Rick Mahorn – 1990
Theo Ratliff – 1999
Dikembe Mutombo – 2002
Eric Snow – 2003
Andre Iguodala – 2011
Joel Embiid – 2018, 2019, 2021
Matisse Thybulle – 2021, 2022
NBA All-Rookie First Team
Lucious Jackson – 1965
Billy Cunningham – 1966
Fred Boyd – 1973
Charles Barkley – 1985
Hersey Hawkins – 1989
Jerry Stackhouse – 1996
Allen Iverson – 1997
Andre Iguodala – 2005
Michael Carter-Williams – 2014
Nerlens Noel – 2015
Jahlil Okafor – 2016
Joel Embiid – 2017
Dario Šarić – 2017
Ben Simmons – 2018
NBA All-Rookie Second Team
Clarence Weatherspoon – 1993
Shawn Bradley – 1994
Sharone Wright – 1995
Tim Thomas – 1998
Thaddeus Young – 2008
Franchise leaders
Bold denotes still active with team.
Italic denotes still active but not with team.
Points scored (regular season) (as of the beginning of the 2023–24 season)
1. Hal Greer (21,586)
2. Allen Iverson (19,931)
3. Dolph Schayes (18,438)
4. Julius Erving ( |
https://en.wikipedia.org/wiki/David%20Goffin%20career%20statistics | This is a list of main career statistics of Belgian professional tennis player David Goffin. All statistics are according to the ATP Tour and ITF websites.
Performance timelines
Singles
Current through the 2023 French Open.
Significant finals
Year-end championships
Singles: 1 (1 runner-up)
ATP Masters 1000
Singles: 1 (1 runner up)
ATP career finals
Singles: 15 (6 titles, 9 runner-ups)
Doubles: 1 (1 title)
ATP Challenger and ITF Futures finals
Singles: 19 (14–6)
Doubles: 4 (2–2)
Best Grand Slam results details
Record against other players
Head-to-head record against top-10 players
Goffin's record against players who have been ranked in the top 10. Active players are in boldface:
Head-to-head record against players ranked No. 11–20
Head-to-head record against all players who have a career-high singles ranking of 11–20 in the world. Active players are highlighted in bold.
Borna Ćorić 5–0
Guido Pella 4–1
Andreas Seppi 3–0
Hyeon Chung 3–1
Feliciano López 3–1
Viktor Troicki 3–1
Benoît Paire 3–3
Nikoloz Basilashvili 2–0
Marco Cecchinato 2–1
Marcel Granollers 2–1
Jerzy Janowicz 2–1
Ivo Karlović 2–1
Philipp Kohlschreiber 2–1
Reilly Opelka 2–1
Sam Querrey 2–1
Florian Mayer 2–2
Cristian Garín 1–0
Aslan Karatsev 1–0
Xavier Malisse 1–0
Paul-Henri Mathieu 1–0
Alexandr Dolgopolov 1–1
Kyle Edmund 1–1
Jarkko Nieminen 1–1
Albert Ramos Viñolas 1–1
Bernard Tomic 1–2
Nick Kyrgios 1–3
Pablo Cuevas 0–1
Dmitry Tursunov 0–2
Alex de Minaur 0–4
*
Top-10 wins per season
He has a record against players who were, at the time the match was played, ranked in the top 10.
Team competitions finals
Davis Cup: 2 (2 runner-ups)
References
External links
Goffin, David |
https://en.wikipedia.org/wiki/Patrick%20%28footballer%2C%20born%201994%29 | Patrick Marcelino (born 4 March 1994), simply known as Patrick, is a Brazilian footballer who plays for Marcílio Dias as a right back
Career statistics
References
External links
Patrick Marcelino at Flash Resultats
1994 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Tanabi Esporte Clube players
Associação Ferroviária de Esportes players
Boa Esporte Clube players
Kashiwa Reysol players
F.C. Penafiel players
Oeste Futebol Clube players
Fortaleza Esporte Clube players
Vila Nova Futebol Clube players
Brazilian expatriate sportspeople in Japan
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Japan
Expatriate men's footballers in Portugal
Footballers from Osasco |
https://en.wikipedia.org/wiki/Vinicius%20Bovi | Vinicius Bueno Bovi (born December 18, 1981 in Limeira), known as Vinicius Bovi, is a Brazilian footballer who plays as right back.
Career statistics
References
External links
1981 births
Living people
Brazilian men's footballers
Men's association football defenders
Avaí FC players |
https://en.wikipedia.org/wiki/Volodymyr%20Koshmanenko | Volodymyr Koshmanenko (; born July 28, 1943, Dnipro, Ukraine) — Ukrainian mathematician, Doctor of Science, professor, Leading Researcher of the Institute of Mathematics of the NAS of Ukraine.
Volodymyr Koshmanenko is a notable Ukrainian mathematician and a talented researcher. Prof. Koshmanenko has been reading lectures at Taras Shevchenko University, National Pedagogical Dragomanov University and National University of Kyiv-Mohyla Academy. He has over 120 publications and 5 monographs. Volodymyr Koshmanenko promotes creativity in science, incredible performance, healthy lifestyle.
Biography
In 1960, he entered the Department of Physics at Dnipropetrovsk State University and graduated from it in 1966. He attended the lectures of the mathematical content mainly from the third year of study. This led him to choice of the mathematical style of thinking.
During his post-graduate courses, 1967–1970, he studied the axiomatic approach in quantum field theory. He showed that any
Boson scalar quantum field admits the representation and the axiomatic formulation in terms of operator Jacobi matrixes. It was
the main result of his PhD thesis (1970) (the scientific advisor was Prof. Yu. M. Berezansky).
From 1970 up to now he occupied different scientific positions, from junior to leading researcher at the Institute of Mathematics of the NAS of Ukraine in Kyiv. In 1985, he got the Doctor degree in mathematics for the theses "The scattering theory in terms of bilinear functionals" with M.S. Birman, I.Ya. Arefieva, and M.I. Portenko as the main referees.
In 1995, he became the professor of Higher Mathematics Department in Kyiv Pedagogical University.
Professional activity
Member of the Academic Council Institute of Mathematics of the NAS of Ukraine
Member Kyïv Mathematical Society
Member of the editorial board Methods of Functional Analysis and Topology
Leader of the seminar Complex Conflict Systems: Dynamics, Models, Spectral Analysis at the Institute of Mathematics of the NAS of Ukraine
Awards
2012 — Yu.O. Mitropol'sky Award by National Academy of Sciences of Ukraine.
Research area
The research interests of Prof. V. Koshmanenko concern modeling of complex dynamical systems, fractal geometry, functional analysis, operator theory, mathematical physics. He proposed the construction of wave and scattering operators in terms of bilinear functionals, introduced the notion of singular quadratic form and produced the classification of pure singular quadratic forms, developed the self-adjoint extensions approach to the singular perturbation theory in scales of Hilbert spaces, investigated the direct and inverse negative eigenvalues problem under singular perturbations.
Volodymyr Koshmanenko developed the original theory of conflict dynamical systems and built a serious new models of complex dynamical systems with repulsive and attractive interaction. He proved the theorem of conflict in terms of probability measures, showed the possibility in |
https://en.wikipedia.org/wiki/Glossary%20of%20calculus | Most of the terms listed in Wikipedia glossaries are already defined and explained within Wikipedia itself. However, glossaries like this one are useful for looking up, comparing and reviewing large numbers of terms together. You can help enhance this page by adding new terms or writing definitions for existing ones.
This glossary of calculus is a list of definitions about calculus, its sub-disciplines, and related fields.
A
B
C
D
E
F
G
H
I
J
L
M
N
O
P
Q
R
S
T
U
V
W
See also
Outline of calculus
Glossary of areas of mathematics
Glossary of astronomy
Glossary of biology
Glossary of botany
Glossary of chemistry
Glossary of ecology
Glossary of engineering
Glossary of physics
Glossary of probability and statistics
References
Works cited
.
.
.
.
Notes
C
Wikipedia glossaries using description lists |
https://en.wikipedia.org/wiki/Otfried%20Cheong | Otfried Cheong (formerly Otfried Schwarzkopf) is a German computational geometer working in South Korea at KAIST. He is known as one of the authors of the widely used computational geometry textbook Computational Geometry: Algorithms and Applications (with Mark de Berg, Marc van Kreveld, and Mark Overmars) and as the developer of Ipe, a vector graphics editor.
Cheong completed his doctorate from the Free University of Berlin in 1992 under the supervision of Helmut Alt.
He joined KAIST in 2005, after previously holding positions at Utrecht University, Pohang University of Science and Technology, Hong Kong University of Science and Technology, and the Eindhoven University of Technology. Cheong was co-chair of the Symposium on Computational Geometry in 2006, with Nina Amenta.
In 2017 he was recognized by the Association for Computing Machinery as a Distinguished Scientist.
References
External links
Home page
German computer scientists
20th-century German mathematicians
South Korean computer scientists
21st-century South Korean mathematicians
South Korean people of German descent
Researchers in geometric algorithms
Living people
Year of birth missing (living people)
21st-century German mathematicians |
https://en.wikipedia.org/wiki/Cassiano%20Bodini | Carlos Cassiano Bodini (born September 6, 1983), known as Cassiano Bodini, is a Brazilian footballer who plays for Rio Claro as forward.
Career statistics
References
External links
Cassiano Bodini at ZeroZero
1983 births
Living people
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Paulista Futebol Clube players
Esporte Clube Juventude players
AC Ancona players |
https://en.wikipedia.org/wiki/Matheus%20Nogueira | Matheus Nogueira da Silva (born 8 August 1986), known as Matheus Nogueira, is a Brazilian footballer who plays for Londrina Futebol Clube / Londrina as a goalkeeper
Career statistics
References
External links
1986 births
Living people
Brazilian men's footballers
Men's association football goalkeepers
Associação Ferroviária de Esportes players
Footballers from São Paulo |
https://en.wikipedia.org/wiki/Leandro%20Bras%C3%ADlia | Leandro de Medeiros Silva (born January 21, 1987, in Brasília), known as Leandro Brasília, is a Brazilian footballer who plays for Real Brasília as midfielder.
Career statistics
References
External links
1987 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Cruzeiro Esporte Clube players
Esporte Clube Itaúna players
América Futebol Clube (MG) players
Ipatinga Futebol Clube players
Criciúma Esporte Clube players
Ceará Sporting Club players
Mirassol Futebol Clube players
Clube de Regatas Brasil players
Clube Atlético Bragantino players
Rio Preto Esporte Clube players
Tupi Football Club players
Clube Atlético Linense players
Clube do Remo players
Villa Nova Atlético Clube players
Footballers from Brasília |
https://en.wikipedia.org/wiki/StatCrunch | StatCrunch is a web-based statistical software application from Pearson Education. StatCrunch was originally created for use in college statistics courses. As a full-featured statistics package, it is now also used for research and for other statistical analysis purposes.
History
American statistics professor Webster West created StatCrunch in 1997. Over the next 19 years West assisted by others added many more statistical procedures and graphing capabilities, and made user interface improvements.
In 2005, West received two awards for StatCrunch: the CAUSEweb Resource of the Year Award and the MERLOT Classics Award. In 2013, the StatCrunch Java code was rewritten in JavaScript in order to avoid Java browser security problems, and so that it would run on iOS and Android. In 2015, new ways of importing data were added, including importing multi-page data directly from Wikipedia tables and other Web sources, and also importing with drag-and-drop for various data formats.
In 2016, StatCrunch was acquired by Pearson Education, which had already been serving as the primary distributor of StatCrunch for several years.
Software
A StatCrunch license is included with many of Pearson's statistical textbooks. Because StatCrunch is a web application, it works on multiple platforms, including Windows, macOS, iOS, and Android.
Data in StatCrunch is represented in a "data table" view, which is similar to a spreadsheet view, but unlike spreadsheets, the cells in a data table can only contain numbers or text. Formulas cannot be stored in these cells. There are many ways to import data into StatCrunch. Data can be typed directly into cells in the data table. Entire blocks of data may be cut-and-pasted into the data table. Text files (.csv, .txt, etc.) and Microsoft Excel files (.xls and .xlsx) can be drag-and-dropped into the data table. Data can be pulled into StatCrunch directly from Wikipedia tables or other Web tables, including multi-page tables. Data can be loaded directly from Google Drive and Dropbox. Shared data sets saved by other StatCrunch community users can be searched for by title or keyword and opened in a data table.
Graphs, results, and reports created by StatCrunch can be shared with other users, in addition to the sharing of data sets.
StatCrunch has a library of data transformation functions. StatCrunch can also recode and reorganize data. All data is stored in memory, and all processing happens on the client, so response is fast, even with large data sets.
StatCrunch can interact with multiple graphs simultaneously. If a user selects a data point on one graph, then that same data point is highlighted on all other displayed graphs.
In addition to standard statistical and graphing procedures, StatCrunch has a collection of about forty "applets" which illustrate statistical concepts interactively.
See also
List of statistical packages
Comparison of statistical packages
References
Further reading
Glenn Ledder, Jenna P. C |
https://en.wikipedia.org/wiki/Probability%20management | The discipline of probability management communicates and calculates uncertainties as data structures that obey both the laws of arithmetic and probability, while preserving statistical coherence. The simplest approach is to use vector arrays of simulated or historical realizations and metadata called Stochastic Information Packets (SIPs). A set of SIPs, which preserve statistical relationships between variables, is said to be coherent and is referred to as a Stochastic Library Unit with Relationships Preserved (SLURP). SIPs and SLURPs allow stochastic simulations to communicate with one another. For example, see Analytica (Wikipedia), Analytica (SIP page), Oracle Crystal Ball, Frontline Solvers, and Autobox.
The first large documented application of SIPs involved the exploration portfolio of Royal Dutch Shell in 2005 as reported by Savage, Scholtes, and Zweidler, who formalized the discipline of probability management in 2006. The topic is also explored at length in.
Vectors of simulated realizations of probability distributions have been used to drive stochastic optimization since at least 1991. Andrew Gelman described such arrays of realizations as Random Variable Objects in 2007.
A recent approach does not store the actual realizations, but delivers formulas known as Virtual SIPs that generate identical simulation trials in the host environment regardless of platform. This is accomplished through inverse transform sampling, also known as the F-Inverse method, coupled to a portable pseudo random number generator, which produces the same stream of uniform random numbers across platforms.
Quantile parameterized distributions (QPDs) are convenient for inverse transform sampling in this context. In particular, the Metalog distribution is a flexible continuous probability distribution that has simple closed form equations, can be directly parameterized by data, using only a handful of parameters.
An ideal pseudo random number generator for driving inverse transforms is the HDR generator developed by Douglas W. Hubbard. It is a counter-based generator with a four-dimensional seed plus an iteration index that runs in virtually all platforms including Microsoft Excel. This allows simulation results derived in R, Python, or other readily available platforms to be delivered identically, trial by trial to a wide audience in terms of a combination of a few parameters for a Metalog distribution accompanied by the five inputs to the HDR generator.
In 2013, ProbabilityManagement.org was incorporated as a 501(c)(3) nonprofit that supports this approach through education, tools, and open standards. Executive Director Sam Savage is the author of The Flaw of Averages: Why we Underestimate Risk in the Face of Uncertainty and is an adjunct professor at Stanford University. Harry Markowitz, Nobel Laureate in Economics, was a co-founding board member. The nonprofit has received financial support from Chevron Corporation, General Electric, Highmark Health, Kai |
https://en.wikipedia.org/wiki/Mateus%20Silva | Mateus Ferreira da Silva (born 3 July 1995 in Marilac) is a Brazilian footballer who plays for Ituano as a defender.
Career statistics
References
External links
1995 births
Living people
Brazilian men's footballers
Men's association football defenders
Ituano FC players |
https://en.wikipedia.org/wiki/Harald%20Grobner | Harald Grobner (born 4 December 1980 in Neunkirchen, Austria) is an Austrian mathematician at the Faculty of Mathematics, University of Vienna. His research focuses on questions of algebra and number theory within the Langlands program.
Career and research
Grobner studied mathematics, philosophy and classical philology at the University of Vienna, where he graduated in 2005. From 2005 to 2007 he studied for his doctorate in mathematics at the Université Paris VI and the University of Vienna, with Joachim Schwermer as his supervisor.
Grobner undertook research at the Erwin Schrödinger Institute for Mathematical Physics in Vienna and the Max Planck Institute for Mathematics in Bonn and the Faculty for Mathematics at the University of Vienna, before receiving the Schrödinger Grant of the FWF. From 2010 until 2013 he was a guest researcher at the Oklahoma State University, the Max Planck Institute for Mathematics in Bonn and the Institut mathématiques de Jussieu in Paris. He was habilitated by the University of Vienna for his research on automorphic cohomology and the rationality of special L-values in 2014.
In August 2016, Grobner became a permanent member of staff at the Faculty of Mathematics of the University of Vienna. From October 2016 to October 2022 he led the international research programme "Special L-vaues and p-adic L-functions" and, since 2019, the additional research project "Automorphic models and L-values for global algebras", both funded by the Austrian Science Fund.
Since fall 2018, Grobner has also been one of the organisers of the research seminar "Algebra and Number Theory" (formerly called "Number Theory Seminar") at the University of Vienna.
Personal life
Harald Grobner lives in Vienna and is father to a son and a daughter.
Awards
Awarded Promotion sub auspiciis praesidentis rei publicae in 2008 by the Austrian president, Heinz Fischer
Winner of the 2008 "Würdigungspreis" from the Austrian Ministry for Science and Research
In 2016 he was awarded the Start-Preis by the FWF.
References
Living people
1980 births
Austrian mathematicians |
https://en.wikipedia.org/wiki/Igor%20Mezi%C4%87 | Igor Mezić is a mechanical engineer, mathematician, and Distinguished Professor of mechanical engineering and mathematics at the University of California, Santa Barbara. He is best known for his contributions to operator theoretic, data driven approach to dynamical systems theory that he advanced via articles based on Koopman operator theory, and his work on theory of mixing, that culminated in work on microfluidic mixer design, and mapping oil refuse from the Deepwater Horizon oil spill in the Gulf of Mexico to aid in cleaning efforts,.
He graduated from the Mechanical Engineering Department at University of Rijeka, Croatia in 1990, with a Diploma in Engineering, and got the Ph.D. degree from the California Institute of Technology (Caltech), within the Applied Mechanics program, with a thesis in Dynamical Systems Theory, in 1994, under supervision of Stephen R. Wiggins.
Mezić was a postdoctoral fellow at the Mathematics Institute of the University of Warwick in the UK from 1994 to 1995, and joined Mechanical Engineering Faculty at the University of California, Santa Barbara in 1995. He moved to the Division of Engineering and Applied Sciences at Harvard University in 2000 before returning to University of California, Santa Barbara, where he became a Full Professor in 2003.
Mezić has received numerous awards and honors for his research work in fields of physics, mathematics (Sloan Fellowship) and engineering. In 2015, he was elected Fellow of the American Physical Society, for "fundamental contributions to the theory of three-dimensional chaotic advection, measures and control of mixing, and development of a spectral operator theory approach to decomposition of complex fluid flows".
He was elected as a Fellow of the Society for Industrial and Applied Mathematics in 2017 (SIAM Fellow), "for sustained innovation at the dynamical systems theory/applications interface; notably for advances in the use of Koopman operator theory". In 2022, Mezić was elected Fellow of the Institute of Electrical and Electronics Engineers (IEEE) for contributions to modeling and control using Koopman operator techniques. In 2019, Mezic was inaugurated as the first ever Honoris Professor at his Alma Mater, University of Rijeka, Croatia. He is the recipient of the 2021 J. D. Crawford Prize, a biennial award presented by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems.
Mezić is a holder of 10 US patents. Four technology companies – in Internet of Things, Ecorithm, (now Pametan), Medical Diagnostics, iFluidics, Artificial Intelligence, Aimdyn and Network Security, Mixmode were founded on the basis of his patents and algorithms. Mezić continues his scientific work as director of the Center for Energy Efficient Design and a professor at Departments of Mechanical Engineering and Mathematics at University of California, Santa Barbara.
Mezić is currently involved in DARPA projects coupling his developmen |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.