“Exponential Function”的概念、定义、习题解题方法及翻译-数学辞典

单词

Exponential Function

释义

Exponential Function

The exponential function is defined by

(1)

where e is the constant 2.718.... It satisfies the identity

(2)

(3)

(4)

then

			(5)

			(6)

The above plot shows the function .

See also Euler Formula, Exponential Ramp, Fourier Transform--Exponential Function, Sigmoid Function

References

Abramowitz, M. and Stegun, C. A. (Eds.). ``Exponential Function.'' §4.2 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 69-71, 1972.

Fischer, G. (Ed.). Plates 127-128 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, pp. 124-125, 1986.

Spanier, J. and Oldham, K. B. ``The Exponential Function '' and ``Exponentials of Powers .'' Chs. 26-27 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 233-261, 1987.

Yates, R. C. ``Exponential Curves.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 86-97, 1952.

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