Transition function

English

Two transition functions (2) illustrated by the arrows between the light blue areas below.

Noun

1. Template:Lb A function from (state, input symbol) to state describing what state to move to on receiving a given input in a given state.
2. Template:Lb A homeomorphism that bijects between the subsets of the images of two overlapping coordinate charts that are shared in the preimage: For $(U_1,{\phi }_1)$ and $(U_2,{\phi }_2)$ coordinate charts with $U_1\cap U_2\ne \mathrm{\varnothing }$, the transition functions ${\phi }_{12}={\phi }_2\circ {\phi }_1^{-1}$ and its inverse ${\phi }_{21}={\phi }_1\circ {\phi }_2^{-1}$ may be constructed. Template:C

   Template:Syn

   • Template:Quote-book

Translations

• Finnish: Template:T
• German: Template:T
• Romanian: Template:T

• Finnish: Template:T
• German: Template:T, Template:T, Template:T

See also

• Template:L
• Template:L
• Template:L