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Binomial coefficient and List of factorial and binomial topics

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Binomial coefficient and List of factorial and binomial topics

Binomial coefficient vs. List of factorial and binomial topics

In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a binomial coefficient. This is a list of factorial and binomial topics in mathematics.

Similarities between Binomial coefficient and List of factorial and binomial topics

Binomial coefficient and List of factorial and binomial topics have 28 things in common (in Unionpedia): Beta function, Binomial distribution, Binomial theorem, Binomial transform, Catalan number, Central binomial coefficient, Combination, Euler–Mascheroni constant, Factorial, Falling and rising factorials, Finite difference, Gamma function, Gaussian binomial coefficient, Hypergeometric function, Mathematics, Multinomial theorem, Multiset, Narayana number, Nørlund–Rice integral, Pascal's triangle, Permutation, Singmaster's conjecture, Star of David theorem, Stirling's approximation, Table of Newtonian series, Taylor series, Trinomial expansion, Vandermonde's identity.

Beta function

In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for.

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Binomial distribution

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own boolean-valued outcome: a random variable containing a single bit of information: success/yes/true/one (with probability p) or failure/no/false/zero (with probability q.

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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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Binomial transform

In combinatorics, the binomial transform is a sequence transformation (i.e., a transform of a sequence) that computes its forward differences.

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Catalan number

In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively-defined objects.

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Central binomial coefficient

In mathematics the nth central binomial coefficient is the particular binomial coefficient They are called central since they show up exactly in the middle of the even-numbered rows in Pascal's triangle.

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Combination

In mathematics, a combination is a selection of items from a collection, such that (unlike permutations) the order of selection does not matter.

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Euler–Mascheroni constant

The Euler–Mascheroni constant (also called Euler's constant) is a mathematical constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma.

Binomial coefficient and Euler–Mascheroni constant · Euler–Mascheroni constant and List of factorial and binomial topics · See more »

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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Falling and rising factorials

In mathematics, the falling factorial (sometimes called the descending factorial, falling sequential product, or lower factorial) is defined as The rising factorial (sometimes called the Pochhammer function, Pochhammer polynomial, ascending factorial, (A reprint of the 1950 edition by Chelsea Publishing Co.) rising sequential product, or upper factorial) is defined as The value of each is taken to be 1 (an empty product) when n.

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Finite difference

A finite difference is a mathematical expression of the form.

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Gamma function

In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.

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Gaussian binomial coefficient

In mathematics, the Gaussian binomial coefficients (also called Gaussian coefficients, Gaussian polynomials, or q-binomial coefficients) are ''q''-analogs of the binomial coefficients.

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Hypergeometric function

In mathematics, the Gaussian or ordinary hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting cases.

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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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Multinomial theorem

In mathematics, the multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum.

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Multiset

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.

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Narayana number

In combinatorics, the Narayana numbers N(n, k), n.

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Nørlund–Rice integral

In mathematics, the Nørlund–Rice integral, sometimes called Rice's method, relates the nth forward difference of a function to a line integral on the complex plane.

Binomial coefficient and Nørlund–Rice integral · List of factorial and binomial topics and Nørlund–Rice integral · See more »

Pascal's triangle

In mathematics, Pascal's triangle is a triangular array of the binomial coefficients.

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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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Singmaster's conjecture

Singmaster's conjecture is a conjecture in combinatorial number theory in mathematics, named after the British mathematician David Singmaster who proposed it in 1971.

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Star of David theorem

The Star of David theorem is a mathematical result on arithmetic properties of binomial coefficients.

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Stirling's approximation

In mathematics, Stirling's approximation (or Stirling's formula) is an approximation for factorials.

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Table of Newtonian series

In mathematics, a Newtonian series, named after Isaac Newton, is a sum over a sequence a_n written in the form where is the binomial coefficient and (s)_n is the rising factorial.

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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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Trinomial expansion

In mathematics, a trinomial expansion is the expansion of a power of a sum of three terms into monomials.

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Vandermonde's identity

In combinatorics, Vandermonde's identity (or Vandermonde's convolution) is the following identity for binomial coefficients: for any nonnegative integers r, m, n. The identity is named after Alexandre-Théophile Vandermonde (1772), although it was already known in 1303 by the Chinese mathematician Zhu Shijie (Chu Shi-Chieh).

Binomial coefficient and Vandermonde's identity · List of factorial and binomial topics and Vandermonde's identity · See more »

The list above answers the following questions

Binomial coefficient and List of factorial and binomial topics Comparison

Binomial coefficient has 122 relations, while List of factorial and binomial topics has 79. As they have in common 28, the Jaccard index is 13.93% = 28 / (122 + 79).

References

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