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22 relations: Combinatorics, Factorial, Fixed point (mathematics), Floor and ceiling functions, Inclusion–exclusion principle, Laguerre polynomials, Mathematics, Ménage problem, Nearest integer function, Nicolaus I Bernoulli, NP-completeness, Permutation, Permutation group, Pierre Raymond de Montmort, Probability, Rencontres numbers, Semi-log plot, Set (mathematics), SIAM Journal on Computing, Surjective function, Up to, William Allen Whitworth.
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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Factorial
In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product.
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Fixed point (mathematics)
In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function.
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Floor and ceiling functions
In mathematics and computer science, the floor function is the function that takes as input a real number x and gives as output the greatest integer less than or equal to x, denoted \operatorname(x).
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Inclusion–exclusion principle
In combinatorics (combinatorial mathematics), the inclusion–exclusion principle is a counting technique which generalizes the familiar method of obtaining the number of elements in the union of two finite sets; symbolically expressed as where A and B are two finite sets and |S| indicates the cardinality of a set S (which may be considered as the number of elements of the set, if the set is finite).
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Laguerre polynomials
In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834 - 1886), are solutions of Laguerre's equation: which is a second-order linear differential equation.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Ménage problem
In combinatorial mathematics, the ménage problem or problème des ménages asks for the number of different ways in which it is possible to seat a set of male-female couples at a dining table so that men and women alternate and nobody sits next to his or her partner.
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Nearest integer function
In computer science, the nearest integer function of real number x denoted variously by, \lfloor x \rceil, \Vert x \Vert, nint(x), or Round(x), is a function which returns the nearest integer to x. To avoid ambiguity when operating on half-integers, a rounding rule must be chosen.
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Nicolaus I Bernoulli
Nicolaus Bernoulli (born 21 October 1687 in Basel, died 29 November 1759 in Basel; also spelled Nicolas or Nikolas), was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family.
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NP-completeness
In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.
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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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Permutation group
In mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself).
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Pierre Raymond de Montmort
Pierre Rémond de Montmort, a French mathematician, was born in Paris on 27 October 1678, and died there on 7 October 1719.
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Probability
Probability is the measure of the likelihood that an event will occur.
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Rencontres numbers
In combinatorial mathematics, the rencontres numbers are a triangular array of integers that enumerate permutations of the set with specified numbers of fixed points: in other words, partial derangements.
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Semi-log plot
In science and engineering, a semi-log graph or semi-log plot is a way of visualizing data that are related according to an exponential relationship.
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Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
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SIAM Journal on Computing
The SIAM Journal on Computing is a scientific journal focusing on the mathematical and formal aspects of computer science.
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Surjective function
In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).
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Up to
In mathematics, the phrase up to appears in discussions about the elements of a set (say S), and the conditions under which subsets of those elements may be considered equivalent.
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William Allen Whitworth
William Allen Whitworth (1 February 1840 – 12 March 1905) was an English mathematician and a priest in the Church of England.
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References
[1] https://en.wikipedia.org/wiki/Derangement
