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Substantiivi

1. (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.
2. (differential geometry) A homeomorphism that bijects between the subsets of the images of two overlapping coordinate charts that are shared in the preimage: For ${\displaystyle (U_{1},\varphi _{1})}$ and ${\displaystyle (U_{2},\varphi _{2})}$ coordinate charts with ${\displaystyle U_{1}\cap U_{2}\neq \emptyset }$, the transition functions ${\displaystyle \varphi _{12}=\varphi _{2}\circ \varphi _{1}^{-1}}$ and its inverse ${\displaystyle \varphi _{21}=\varphi _{1}\circ \varphi _{2}^{-1}}$ may be constructed.