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Toggle the table of contents. ... In mathematics, a tuple is a finite sequence or ordered list of numbers or, ... tuples come in many forms.
2.3 Characterizations of prime tuples and clusters. 3 References. Toggle the table of contents. Table of congruences. 2 languages. ... In mathematics, ...
Multi-index notation is a mathematical notation that simplifies formulas used in multivariable calculus, partial differential equations and the theory of distributions, by generalising the concept of an integer index to an ordered tuple of indices.
Toggle the table of contents. ... the partition 2 + 2 + 1 might instead be written as the tuple ... Royal Society of Math. Tables. Vol. 4, Tables of partitions. ...
Relation, tuple, and attribute represented as table, row, and column respectively In database theory, a relation , as originally defined by E. F. Codd , [ 1 ] is a set of tuples (d 1 ,d 2 ,...,d n ), where each element d j is a member of D j , a data domain .
In number theory, a prime k-tuple is a finite collection of values representing a repeatable pattern of differences between prime numbers.For a k-tuple (a, b, …), the positions where the k-tuple matches a pattern in the prime numbers are given by the set of integers n such that all of the values (n + a, n + b, …) are prime.
A Pythagorean quadruple is called primitive if the greatest common divisor of its entries is 1. Every Pythagorean quadruple is an integer multiple of a primitive quadruple. The set of primitive Pythagorean quadruples for which a is odd can be generated by the formulas = +, = (+), = (), = + + +, where m, n, p, q are non-negative integers with greatest common divisor 1 such that m + n + p + q is o
In number theory, a branch of mathematics, Dickson's conjecture is the conjecture stated by Dickson () that for a finite set of linear forms a 1 + b 1 n, a 2 + b 2 n, ..., a k + b k n with b i ≥ 1, there are infinitely many positive integers n for which they are all prime, unless there is a congruence condition preventing this (Ribenboim 1996, 6.I).