transition function
Fetched 2026-10-26 (cache).
Datamuse reports no synonyms or antonyms for this word.
Noun
- {{lb|en|computing theory}} A [[function]] from (state, input symbol) to state describing what state to move to on receiving a given input in a given state.
- {{lb|en|differential geometry}} A [[homeomorphism]] that [[biject]]s between the [[subset]]s of the [[image]]s of two [[overlapping]] [[coordinate chart]]s that <!-- "that" refers back to "subsets" --> are shared in the [[preimage]]: For <math>(U_1, \varphi_1)</math> and <math>(U_2, \varphi_2)</math> coordinate charts with <math>U_1 \cap U_2 \neq \emptyset</math>, the transition functions <math>\varphi_{12} = \varphi_2 \circ \varphi_1^{-1}</math> and its inverse <math>\varphi_{21} = \varphi_1 \circ \varphi_2^{-1}</math> may be constructed. {{C|en|Functions}}
Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.