34 relations: Algebra, Angular momentum, Bijective proof, Binomial theorem, Coefficient, Combinatorics on words, David M. Jackson, Determinant, Diagonal matrix, Dixon's identity, Dominique Foata, Doron Zeilberger, Enumerative combinatorics, Generating function, I. J. Good, Identity matrix, Igor Pak, Julian Schwinger, Koszul algebra, Lagrange inversion theorem, Leonard Carlitz, Linear algebra, Many-body problem, Mathematical Proceedings of the Cambridge Philosophical Society, Noncommutative geometry, Percy Alexander MacMahon, Permanent (mathematics), Pierre Cartier (mathematician), Power series, Q-analog, Quantum algebra, Quasideterminant, Theoretical physics, Trace monoid.
Algebra
Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
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Angular momentum
In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum.
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Bijective proof
In combinatorics, bijective proof is a proof technique that finds a bijective function f: A → B between two finite sets A and B, or a size-preserving bijective function between two combinatorial classes, thus proving that they have the same number of elements, |A|.
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Binomial theorem
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.
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Coefficient
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression.
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Combinatorics on words
Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal languages.
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David M. Jackson
David M.R. Jackson is a professor at the University of Waterloo in the department of Combinatorics and Optimization.
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Determinant
In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.
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Diagonal matrix
In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero.
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Dixon's identity
In mathematics, Dixon's identity (or Dixon's theorem or Dixon's formula) is any of several different but closely related identities proved by A. C. Dixon, some involving finite sums of products of three binomial coefficients, and some evaluating a hypergeometric sum.
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Dominique Foata
Dominique Foata (born October 12, 1934) is a mathematician who works in enumerative combinatorics.
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Doron Zeilberger
Doron Zeilberger (דורון ציילברגר, born 2 July 1950 in Haifa, Israel) is an Israeli mathematician, known for his work in combinatorics.
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Enumerative combinatorics
Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed.
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Generating function
In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by treating them as the coefficients of a power series.
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I. J. Good
Irving John ("I. J."; "Jack") Good (9 December 1916 – 5 April 2009) The Times of 16-apr-09, http://www.timesonline.co.uk/tol/comment/obituaries/article6100314.ece was a British mathematician who worked as a cryptologist at Bletchley Park with Alan Turing.
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Identity matrix
In linear algebra, the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.
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Igor Pak
Igor Pak (Игорь Пак) (born 1971, Moscow, Soviet Union) is a professor of mathematics at the University of California, Los Angeles, working in combinatorics and discrete probability.
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Julian Schwinger
Julian Seymour Schwinger (February 12, 1918 – July 16, 1994) was a Nobel Prize winning American theoretical physicist.
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Koszul algebra
In abstract algebra, a Koszul algebra R is a graded k-algebra over which the ground field k has a linear minimal graded free resolution, i.e., there exists an exact sequence: It is named after the French mathematician Jean-Louis Koszul.
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Lagrange inversion theorem
In mathematical analysis, the Lagrange inversion theorem, also known as the Lagrange–Bürmann formula, gives the Taylor series expansion of the inverse function of an analytic function.
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Leonard Carlitz
Leonard Carlitz (December 26, 1907 – September 17, 1999) was an American mathematician.
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Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.
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Many-body problem
The many-body problem is a general name for a vast category of physical problems pertaining to the properties of microscopic systems made of a large number of interacting particles.
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Mathematical Proceedings of the Cambridge Philosophical Society
Mathematical Proceedings of the Cambridge Philosophical Society is a mathematical journal published by Cambridge University Press for the Cambridge Philosophical Society.
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Noncommutative geometry
Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions (possibly in some generalized sense).
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Percy Alexander MacMahon
Percy Alexander MacMahon (born 26 September 1854, Sliema, British Malta – 25 December 1929, Bognor Regis, England) was a mathematician, especially noted in connection with the partitions of numbers and enumerative combinatorics.
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Permanent (mathematics)
In linear algebra, the permanent of a square matrix is a function of the matrix similar to the determinant.
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Pierre Cartier (mathematician)
Pierre Emile Cartier (born 10 June 1932) is a mathematician.
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Power series
In mathematics, a power series (in one variable) is an infinite series of the form where an represents the coefficient of the nth term and c is a constant.
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Q-analog
In mathematics, a q-analog of a theorem, identity or expression is a generalization involving a new parameter q that returns the original theorem, identity or expression in the limit as.
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Quantum algebra
Quantum algebra is the study of noncommutative analogues and generalisations of commutative algebras, especially those arising in Lie theory.
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Quasideterminant
In mathematics, the quasideterminant is a replacement for the determinant for matrices with noncommutative entries.
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Theoretical physics
Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena.
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Trace monoid
In computer science, a trace is a set of strings, wherein certain letters in the string are allowed to commute, but others are not.
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MacMahon master theorem, MacMahon's Master theorem.
References
[1] https://en.wikipedia.org/wiki/MacMahon_Master_theorem