Last Updated：2025/11/20
(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.
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transition function
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Source Word
transition function
Noun
Japanese Meaning
状態と入力シンボルの組み合わせから、次に移る状態を決定する関数（状態遷移関数） / 計算理論において、与えられた状態と入力シンボルに基づいて、次の状態を示す関数
Sense（1）
Sense（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
(U_1,𝜑₁)
and
(U_2,𝜑₂)
coordinate
charts
with
U_1∩U_2≠∅,
the
transition
functions
𝜑₁₂=𝜑₂∘𝜑₁⁻¹
and
its
inverse
𝜑₂₁=𝜑₁∘𝜑₂⁻¹
may
be
constructed.
（ plural ）
