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单词 exponential theorem
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exponential theorem
exponential theorem n. Mathematics (now chiefly historical) the theorem that the infinite series having the form 1 + z + z2/2! + z3/3! … + zn/n! + …, converges to the exponential function ez.
ΚΠ
1826 T. Jephson Fluxional Calculus I. i. 15 (heading) The Exponential Theorem.
1907 E. W. Hobson Theory of Functions of Real Variable vi. 494 In order to extend the proof of the exponential theorem to the case of an irrational value of x, we observe that the above series converges uniformly.
1994 M. A. McBeth Combinatorial Number Theory ii. 89 The classical theory is founded on the exponential theorem.
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