Integer (computer science) at least 32 bits on any computer. Programmers may also incorrectly assume that a pointer can be converted to an integer without loss of information, which may work on (some) 32-bit computers, but fail on 64-bit computers with 64-bit pointers and 32-bit integers. A "short integer" can represent a whole number that may take less storage, while having a smaller range, compared with a standard integer on the same machine. In C, it is denoted by short. It is required to be at least 16 bits, and is often smaller than a standard integer, but this is not required. A
Integer relation algorithm is an integer relation between any two real numbers "x" and "x". The algorithm generates successive terms of the continued fraction expansion of "x"/"x"; if there is an integer relation between the numbers then their ratio is rational and the algorithm eventually terminates. Integer relation algorithms have numerous applications. The first application is to determine whether a given real number "x" is likely to be algebraic, by searching for an integer relation between a set of powers of "x" {1, "x", "x", ..., "x"}. The second application is to search for an integer relation between a real number "x" and