28 relations: Algorithm, Bijection, Binary number, Binomial coefficient, Binomial theorem, Combinatorial number system, Combinatorics, Complement (set theory), Diophantine equation, Empty set, Enumeration, Erwin Kreyszig, Factorial, Fraction (mathematics), Kneser graph, List of permutation topics, List of poker hands, Mathematics, Multiplication, Multiset, Pascal's triangle, Permutation, Probability, Rejection sampling, Reservoir sampling, Set (mathematics), Stars and bars (combinatorics), Subset.
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.
In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).
In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a binomial coefficient.
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.
In mathematics, and in particular in combinatorics, the combinatorial number system of degree k (for some positive integer k), also referred to as combinadics, is a correspondence between natural numbers (taken to include 0) N and k-combinations, represented as strictly decreasing sequences ck >... > c2 > c1 ≥ 0.
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.
In set theory, the complement of a set refers to elements not in.
In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values).
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
An enumeration is a complete, ordered listing of all the items in a collection.
Erwin O. Kreyszig (January 6, 1922 in Pirna, Germany – December 12, 2008) was a German Canadian applied mathematician and the Professor of Mathematics at Carleton University in Ottawa, Ontario, Canada.
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.
A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
This is a list of topics on mathematical permutations.
In poker, players construct sets of five playing cards, called hands, according to the rules of the game being played.
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.
In mathematics, a multiset (aka bag or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its elements.
In mathematics, Pascal's triangle is a triangular array of the binomial coefficients.
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.
Probability is the measure of the likelihood that an event will occur.
In numerical analysis, rejection sampling is a basic technique used to generate observations from a distribution.
Reservoir sampling is a family of randomized algorithms for randomly choosing a sample of k items from a list S containing n items, where n is either a very large or unknown number.
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
In the context of combinatorial mathematics, stars and bars is a graphical aid for deriving certain combinatorial theorems.
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.