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30 relations: American Mathematical Monthly, Binomial coefficient, Binomial theorem, Carl Hindenburg, Combinatorics, Determinant, Dresden, Enumerative combinatorics, Inverse function, Inversion (discrete mathematics), Involution (mathematics), Johann Friedrich Pfaff, Johann Georg Hagen, Karl Christian von Langsdorf, Lagrange inversion theorem, Leipzig University, Matrix (mathematics), Parity (mathematics), Permutation, Polynomial, Q-analog, Recurrence relation, Rothe–Hagen identity, Summation, Taylor series, Telephone number (mathematics), The Art of Computer Programming, Transpose, University of Erlangen-Nuremberg, Young tableau.
American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
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Binomial coefficient
In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a binomial coefficient.
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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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Carl Hindenburg
Carl Friedrich Hindenburg (13 July 1741 – 17 March 1808) was a German mathematician born in Dresden.
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Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.
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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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Dresden
Dresden (Upper and Lower Sorbian: Drježdźany, Drážďany, Drezno) is the capital city and, after Leipzig, the second-largest city of the Free State of Saxony in Germany.
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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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Inverse function
In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function applied to an input gives a result of, then applying its inverse function to gives the result, and vice versa.
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Inversion (discrete mathematics)
In computer science and discrete mathematics a sequence has an inversion where two of its elements are out of their natural order.
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Involution (mathematics)
In mathematics, an involution, or an involutory function, is a function that is its own inverse, for all in the domain of.
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Johann Friedrich Pfaff
Johann Friedrich Pfaff (sometimes spelled Friederich; 22 December 1765 – 21 April 1825) was a German mathematician.
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Johann Georg Hagen
Johann (John) Georg Hagen (March 6, 1847 in Bregenz, Austria – September 5, 1930 in Rome, Italy), was an Austrian Jesuit priest and astronomer.
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Karl Christian von Langsdorf
Karl Christian von Langsdorf, also known as Carl Christian von Langsdorff (18 May 1757 in Nauheim – 10 June 1834 in Heidelberg), was a German mathematician, geologist, natural scientist and engineer.
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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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Leipzig University
Leipzig University (Universität Leipzig), in Leipzig in the Free State of Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany.
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Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
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Parity (mathematics)
In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.
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Permutation
In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.
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Polynomial
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
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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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Recurrence relation
In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.
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Rothe–Hagen identity
In mathematics, the Rothe–Hagen identity is a mathematical identity valid for all complex numbers (x, y, z) except where the denominators vanish: It is a generalization of Vandermonde's identity, and is named after Heinrich August Rothe and Johann Georg Hagen.
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Summation
In mathematics, summation (capital Greek sigma symbol: ∑) is the addition of a sequence of numbers; the result is their sum or total.
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Taylor series
In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.
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Telephone number (mathematics)
In mathematics, the telephone numbers or the involution numbers are a sequence of integers that count the ways telephone lines can be connected to each other, where each line can be connected to at most one other line.
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The Art of Computer Programming
The Art of Computer Programming (sometimes known by its initials TAOCP) is a comprehensive monograph written by Donald Knuth that covers many kinds of programming algorithms and their analysis.
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Transpose
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal, that is it switches the row and column indices of the matrix by producing another matrix denoted as AT (also written A′, Atr, tA or At).
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University of Erlangen-Nuremberg
Friedrich-Alexander University Erlangen-Nürnberg (Friedrich-Alexander-Universität Erlangen-Nürnberg, FAU) is a public research university in the cities of Erlangen and Nuremberg in Bavaria, Germany.
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Young tableau
In mathematics, a Young tableau (plural: tableaux) is a combinatorial object useful in representation theory and Schubert calculus.
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References
[1] https://en.wikipedia.org/wiki/Heinrich_August_Rothe
