• In number theory, a multiplicative partition or unordered factorization of an integer n {\displaystyle n} is a way of writing n {\displaystyle n} as a...
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  • identity Multiplicative inverse Multiplicative order Multiplicative partition Multiplicative case For the multiplicative numerals once, twice, and thrice...
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  • Multipartition Multiplicative partition Noncrossing partition Ordered partition of a set Partition calculus Partition function (quantum field theory) Partition function...
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  • theory and computer science Integer partition, a way to write an integer as a sum of other integers Multiplicative partition, a way to write an integer as a...
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  • Thumbnail for Integer partition
    bars (combinatorics) Plane partition Polite number, defined by partitions into consecutive integers Multiplicative partition Twelvefold way Ewens's sampling...
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  • Thumbnail for Partition function (number theory)
    In number theory, the partition function p(n) represents the number of possible partitions of a non-negative integer n. For instance, p(4) = 5 because...
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  • Thumbnail for Partition function (statistical mechanics)
    In physics, a partition function describes the statistical properties of a system in thermodynamic equilibrium.[citation needed] Partition functions are...
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  • Multiplicative partitions of factorials are expressions of values of the factorial function as products of powers of prime numbers. They have been studied...
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  • then B n {\displaystyle B_{n}} gives the number of different multiplicative partitions of N {\displaystyle N} . These are factorizations of N {\displaystyle...
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  • representation of a positive integer Factorization Multiplicative partition p-adic valuation Integer partition – a way of writing a number as a sum of positive...
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  • solution, i.e., when it exists, a modular multiplicative inverse is unique: If b and b' are both modular multiplicative inverses of a respect to the modulus...
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  • Thumbnail for Ordered Bell number
    bijective correspondence to the weak orderings, such as the ordered multiplicative partitions of a squarefree number or the faces of all dimensions of a permutohedron...
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  • A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient...
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  • Thumbnail for Factorization
    Fermat's factorization method for integers Monoid factorisation Multiplicative partition Table of Gaussian integer factorizations Hardy; Wright (1980),...
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  • SpMV kernel. Matrix–vector multiplication General-purpose computing on graphics processing units#Kernels "Hypergraph Partitioning Based Models and Methods...
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  • the factorial into prime powers in different ways produces the multiplicative partitions of factorials. The special case of Legendre's formula for p =...
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  • Thumbnail for Axiom of choice
    theorem. The axiom of choice is equivalent to the statement that every partition has a transversal. In many cases, a set created by choosing elements can...
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  • is the divide-and-conquer algorithm for matrix multiplication. This relies on the block partitioning C = ( C 11 C 12 C 21 C 22 ) , A = ( A 11 A 12 A...
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  • the multiplicative Lorenz system", Chaos, Solitons & Fractals Volume 25, Issue 1, July 2005, pages 79–90. Fernando Córdova-Lepe. "The multiplicative derivative...
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  • defined to have a multiplicative identity, while a structure with the same axiomatic definition but without the requirement for a multiplicative identity is...
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  • Thumbnail for Hash function
    (modulo) by a constant can be inverted to become a multiplication by the word-size multiplicative-inverse of that constant. This can be done by the programmer...
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  • Thumbnail for Block matrix
    In mathematics, a block matrix or a partitioned matrix is a matrix that is interpreted as having been broken into sections called blocks or submatrices...
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  • Thumbnail for Dirichlet convolution
    Dirichlet convolution of two multiplicative functions is again multiplicative, and every not constantly zero multiplicative function has a Dirichlet inverse...
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  • The partition algebra is an associative algebra with a basis of set-partition diagrams and multiplication given by diagram concatenation. Its subalgebras...
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  • Matrix chain multiplication (or the matrix chain ordering problem) is an optimization problem concerning the most efficient way to multiply a given sequence...
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  • Thumbnail for Magic square
    some other operation. For example, a multiplicative magic square has a constant product of numbers. A multiplicative magic square can be derived from an...
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  • Möbius function (category Multiplicative functions)
    The Möbius function μ ( n ) {\displaystyle \mu (n)} is a multiplicative function in number theory introduced by the German mathematician August Ferdinand...
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  • Thumbnail for Arithmetic
    {\displaystyle 48\div 8=48\times {\tfrac {1}{8}}} . The multiplicative identity element is 1 and the multiplicative inverse of a number is the reciprocal of that...
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  • multiplicative constant, the same computational complexity as matrix multiplication. The proof does not make any assumptions on matrix multiplication...
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  • Thumbnail for Group action
    finite geometries. The quaternions with norm 1 (the versors), as a multiplicative group, act on R3: for any such quaternion z = cos α/2 + v sin α/2, the...
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