In number theory, the complexity of an integer is the smallest number of ones that can be used to represent it using ones and any number of additions,...

decomposition of a positive integer into a product of integers. Every positive integer greater than 1 is either the product of two or more integer factors greater...

In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource...

integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers...

factorization of a positive integer Complex integer Hyperinteger Integer complexity Integer lattice Integer part Integer sequence Integer-valued function Mathematical...

arithmetic complexity. For example, the arithmetic complexity of the computation of the determinant of a n×n integer matrix is O ( n 3 ) {\displaystyle O(n^{3})}...

problems in computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems...

the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly...

semigroups have complexity 0, while non-trivial finite groups have complexity 1. In fact, there are semigroups of every non-negative integer complexity. For example...

stands in for the complexity of the chosen multiplication algorithm. This table lists the complexity of mathematical operations on integers. On stronger computational...

H. Freeman. ISBN 978-0-7167-1045-5. A6: MP1: INTEGER PROGRAMMING, pg.245. (computer science, complexity theory) Gärtner, Bernd; Matoušek, Jiří (2006)...

Computational complexity theory Game complexity, in combinatorial game theory Integer complexity, in number theory Language complexity, the notion that a component...

determines whether the nth proof actually proves a complexity formula K(s) ≥ L. The strings s, and the integer L in turn, are computable by procedure: function...

axioms for integer arithmetic, then nearly polynomial-time algorithms exist for all NP problems. Therefore, assuming (as most complexity theorists do)...

n} -bit integers. This is known as the computational complexity of multiplication. Usual algorithms done by hand have asymptotic complexity of O ( n...

In computational complexity theory, the complement of a decision problem is the decision problem resulting from reversing the yes and no answers. Equivalently...

}{=}}{\mathsf {P}}} ⁠ More unsolved problems in computer science In computational complexity theory, the class NC (for "Nick's Class") is the set of decision problems...

for bignums, and others have libraries available for arbitrary-precision integer and floating-point math. Rather than storing values as a fixed number of...

problem. If the input is an integer circuit, however, it is unknown whether this problem is decidable. Circuit complexity attempts to classify Boolean...

of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest...

"Mortality of iterated piecewise affine functions over the integers: Decidability and complexity". Computability. 1 (1): 19–56. doi:10.3233/COM-150032. Michel...

In mathematics, a square-free integer (or squarefree integer) is an integer which is divisible by no square number other than 1. That is, its prime factorization...

mathematics, modular arithmetic is a system of arithmetic operations for integers, other than the usual ones from elementary arithmetic, where numbers "wrap...

a positive integer n, find a nontrivial prime factor of n." is a computational problem that has a solution, as there are many known integer factorization...

demonstrating that the integer factorization problem can be efficiently solved on a quantum computer and is consequently in the complexity class BQP. This is...

Combinatorial game theory measures game complexity in several ways: State-space complexity (the number of legal game positions from the initial position)...

The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching...

generalizes this concept to a cyclic group. A simple example is the group of integers modulo a prime number (such as 5) under modular multiplication of nonzero...

self-referential paradox arising from an expression like "The smallest positive integer not definable in under sixty letters" (a phrase with fifty-seven letters)...

a PhD in Mathematics from the University of Michigan, focusing on integer complexity. George Thampy was speller # 245 in the bee and was mentioned several...