fixed point

See also: fixed-point

English

Noun

fixed point (plural fixed points)

(computing) A fractional-number representation with a fixed number of digits after the decimal point. Compare floating point and integer.
(mathematics) A value which is unchanged by a function or other mapping. Formally: a value x for which f(x) = x.^W
The Bonan-Jeener's triple Klein bottle is not equivalent to the Boy's surface, as can be ascertained by the fact that a 120° rotation of the triple Klein bottle around its axis of symmetry yields no fixed point, whereas a similar rotation of the Boy's surface does yield a fixed point, which is its "umbilical point" as it were.

Synonyms

(mathematics): fixpoint

Derived terms

Banks-Zaks fixed point
Brouwer fixed-point theorem
Lefschetz fixed-point theorem

(mathematics): attractor
idempotence
nullipotence

Translations

value unchanged by a mapping

Chinese:
Mandarin: 不動點／不动点 (bùdòngdiǎn), 定點／定点 (zh) (dìngdiǎn)
Czech: pevný bod m
Finnish: kiintopiste
French: point fixe (fr) f
Greek: σταθερής υποδιαστολής (el) f (statherís ypodiastolís)
Hungarian: fixpont
Japanese: 固定小数点 (こていしょうすうてん, kotei shōsūten)
Kazakh: қозғалмайтын нүкте (qozğalmaityn nükte)
Portuguese: ponto fixo m
Romanian: punct fix n
Spanish: punto fijo m
Swedish: fixpunkt (sv) c

The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.

Translations to be checked

Serbo-Croatian: fiksna točka f
Swedish: fixpunkt (sv) c

Adjective

fixed point (not comparable)

(computing) Pertaining to fixed point representations or operations.

Alternative forms

fixed-point

Antonyms

floating point

Translations

in computing

Chinese:
Cantonese: 定点 (ding⁶ dim²), 定點 (ding⁶ dim²)
Mandarin: 定点 (zh) (dìngdiǎn), 定點／定点 (zh) (dìngdiǎn)
Min Nan: 定点 (tēng-tiám), 定點 (zh-min-nan) (tēng-tiám)
Finnish: kiinteän pilkun
French: virgule fixe (fr) f
German: Fixkomma-
Hungarian: fixpontos
Polish: stałoprzecinkowy m
Turkish: sabit noktalı