As a word Edit
One half is one of the few fractions which are commonly expressed in natural languages by suppletion rather than regular derivation. In English, for example, compare the compound "one half" with other regular formations like "one-sixth".
A half can also be said to be one part of something divided into two equal parts. It is acceptable to write one half as a hyphenated word, one-half.
One half is the unique rational number that lies midway between nil and unity (which are the elementary additive and multiplicative identities) as the quotient of the first two non-zero integers, . It contains two different decimal representations in base ten, the familiar and the recurring , with a similar pair of expansions in any even base; while in odd bases, one half has no terminating representation, it has only a single representation with a repeating fractional component (such as in ternary and in quinary).
and in the formula for computing magic constants for magic squares,
Computer characters Edit
vulgar fraction one half
|Different from||¼, ¾|
One-half has its own code point in some early extensions of ASCII at 171 (ABhex). In Unicode, it has its own code unit at U+00BD (decimal 189) in the C1 Controls and Latin-1 Supplement block and a cross-reference in the Number Forms block, rendering as . The HTML entity is
½, and its PC entry is Alt+0189. The single-precision floating-point for ½ is 3F00000016.
See also Edit
- Sloane, N. J. A. (ed.). "Sequence A159907 (Numbers n with half-integral abundancy index, sigma(n)/n equals k+1/2 with integer k.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-07-31.
- Ed Pegg Jr. (July 2000). "Commentary on weekly puzzles". Mathpuzzle. Retrieved 2023-08-17.
- Weisstein, Eric W. "Almost integer". MathWorld -- A WolframAlpha Resource. Retrieved 2023-08-17.
- Euler, Leonhard (1748). Introductio in analysin infinitorum (in Latin). Vol. 1. p. 244.
- Evgrafov, M. A.; Bezhanov, K. A.; Sidorov, Y. V.; Fedoriuk, M. V.; Shabunin, M. I. (1972). A Collection of Problems in the Theory of Analytic Functions (in Russian). Moscow: Nauka. p. 263 (Ex. 30.10.1).
- Bloch, Spencer; Masha, Vlasenko. "Gamma functions, monodromy and Apéry constants" (PDF). University of Chicago (Paper). pp. 1–34. S2CID 126076513.
- "Latin-1 Supplement". SYMBL. Retrieved 2023-07-18.
- "HTML Character Entity References". SYMBL. Retrieved 2023-07-18.
- "Alt Codes". Alt-Codes. Retrieved 2023-07-18.