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单词 time integral
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time integral
time integral n. Mathematics an integral of a variable or function with respect to time; an expression of which a given function is the time derivative.A time integral is the correlative of a time derivative.
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1867 W. Thomson & P. G. Tait Treat. Nat. Philos. I. 207 Any force in a constant direction acting in any circumstances..may be reckoned on the same principle; so that what we may call its whole amount during any time, or its ‘time-integral’, will measure, or be measured by, the whole momentum which it generates in the time in question.
1902 Encycl. Brit. XXX. 597/1 The above forms of house meters are called continuously integrating meters, in that the operation of recording or obtaining the time-integral of the current or power is continuous.
1933 Proc. Royal Soc. A. 139 165 As far as the perturbing potential is concerned its effect depends only on its time-integral, and its actual variation with the time is immaterial.
2004 K. Nakamura & T. Harayama Quantum Chaos & Quantum Dots v. 61 W (q) is the action function..defined in terms of the time integral of the Lagrangian.
extracted from timen.int.conj.
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