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In particular, the special case of 0–1 integer linear programming, in which unknowns are binary, and only the restrictions must be satisfied, is one of Karp's 21 NP-complete problems. [1] If some decision variables are not discrete, the problem is known as a mixed-integer programming problem. [2]
An integer may be regarded as a real number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5 + 1 / 2 , 5/4, and √ 2 are not. [8] The integers form the smallest group and the smallest ring containing the natural numbers.
In computer science, integer sorting is the algorithmic problem of sorting a collection of data values by integer keys. Algorithms designed for integer sorting may also often be applied to sorting problems in which the keys are floating point numbers, rational numbers , or text strings. [ 1 ]
t(n) = C(n + 1, 2) = n(n + 1) / 2 = 1 + 2 + ... + n for n ≥ 1, with t(0) = 0 (empty sum). A000217: Square numbers n 2: 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, ... n 2 = n × n: A000290: Tetrahedral numbers T(n) 0, 1, 4, 10, 20, 35, 56, 84, 120, 165, ... T(n) is the sum of the first n triangular numbers, with T(0) = 0 (empty sum). A000292 ...
The Ishango bone (on exhibition at the Royal Belgian Institute of Natural Sciences) [8] [9] [10] is believed to have been used 20,000 years ago for natural number arithmetic.
Signed: From −8 to 7, from −(2 3) to 2 3 − 1 0.9 Binary-coded decimal, single decimal digit representation — Unsigned: From 0 to 15, which equals 2 4 − 1 1.2 8 byte, octet, i8, u8 Signed: From −128 to 127, from −(2 7) to 2 7 − 1 2.11 ASCII characters, code units in the UTF-8 character encoding: int8_t, signed char [b ...