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, multiplications, and parentheses. It is always within a constant factor of the logarithm of the given integer.
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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,...
In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource...
factorization of a positive integer Hyperinteger IntegercomplexityInteger lattice Integer part Integer sequence Integer-valued function Mathematical...
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...
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})}...
integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers...
stands in for the complexity of the chosen multiplication algorithm. This table lists the complexity of mathematical operations on integers. On stronger computational...
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)...
the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly...
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...
n} -bit integers. This is known as the computational complexity of multiplication. Usual algorithms done by hand have asymptotic complexity of O ( n...
any group G, powers bk can be defined for all integers k, and the discrete logarithm logb a is an integer k such that bk = a. In number theory, the more...
interpretation: the structure of non-negative integers with constants 0, 1, and the addition of non-negative integers. Presburger arithmetic is designed to be...
sort can be applied to data that can be sorted lexicographically, be they integers, words, punch cards, playing cards, or the mail. Radix sort dates back...
representations of integers). Since it is a circuit class, like P/poly, AC0 also contains every unary language. From a descriptive complexity viewpoint, DLOGTIME-uniform...
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus...
In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according...
representations, it is typical to use the first few positive or non-negative integers as the "colors". In general, one can use any finite set as the "color set"...
factorial of a non-negative integer n {\displaystyle n} , denoted by n ! {\displaystyle n!} , is the product of all positive integers less than or equal to...
combinational digital circuit that performs arithmetic and bitwise operations on integer binary numbers. This is in contrast to a floating-point unit (FPU), which...
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