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单词 to act on
释义

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to act on
c. intransitive. Mathematics. to act on: (of a function, operator, etc.) to have as an argument; to have its arguments in (a set); (of a group) to produce a transformation of the elements of (a set).
ΚΠ
1862 Messenger Math. 1 82 It will be convenient in certain cases to consider a Quaternion as a machine, which when it acts on a vector turns it about a definite axis.]
1887 Amer. Jrnl. Math. 9 299 θ1 acts on u only.
1930 C. Eckart & F. C. Hoyt tr. W. Heisenberg Physical Princ. Quantum Theory 71 Operators acting on the Schrödinger function.
1964 Jrnl. Math. & Mech. 13 837 (title) Almost periodic transition operators acting on the continuous functions on a compact space.
1990 Q. Jrnl. Math. 41 110 The automorphism group of a thin complex acts freely on the set of chambers.
2007 Bull. Symbolic Logic 13 7 A acts on this Hilbert space by left multiplication.
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