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单词 exponentiate
释义

exponentiatev.

/ɛkspəˈnɛnʃɪeɪt/
Etymology: < exponent n., after differentiate v.
Mathematics.
1. intransitive. To increase exponentially; also, more generally, to exhibit specified asymptotic behaviour as some limit is approached.
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the world > relative properties > number > algebra > perform algebra [verb (intransitive)] > increase exponentially
exponentiate1970
1970 Physical Rev. Lett. 25 1589/1 The (lns)n factors which eventually exponentiate to a power of s come from the longitudinal phase-space integrals [etc.].
1971 Physical Rev. D. 3 970 We find that the leading Regge-pole term arising from single-ladder-exchange exponentiates.
1977 Jrnl. Chem. Physics 67 4905/1 Thus the more stringent criterion that E must be greater than Ec and that all trajectories exponentiate does not suffice to validate statistical theories.
2. transitive. To raise e or some other base (base n.1 20) to the power of; to subject to exponentiation. Also absol.
ΘΚΠ
the world > relative properties > number > algebra > perform algebra [verb (transitive)]
equate1779
expand1802
perturb1901
Fourier-analyse1962
exponentiate1971
1971 Jrnl. Math. Physics 12 466/2 Our goal is to exponentiate the current algebras and obtain groups, which can be represented by unitary (hence bounded) operators.
1978 Physics Lett. A. 64 477/2 By solving the operator equations in their full nonlinear form..we are able to exponentiate the logarithmic terms into power law singularities.
1987 A+ May 75/3 With Planner's Choice you can add, subtract, multiply, divide, and exponentiate.
This entry has not yet been fully updated (first published 1993; most recently modified version published online September 2018).
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