英语词汇“hyperbolic function”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

hyperbolic function

Any of a set of six functions related, for a real or complex variable x, to the hyperbola in a manner analogous to the relationship of the trigonometric functions to a circle, including:

a. The hyperbolic sine, defined by the equation sinh x = ¹/₂ (e^x - e^-^x).

b. The hyperbolic cosine, defined by the equation cosh x = ¹/₂ (e^x + e^-^x).

c. The hyperbolic tangent, defined by the equation tanh x = sinh x/cosh x.

d. The hyperbolic cotangent, defined by the equation coth x = cosh x/sinh x.

e. The hyperbolic secant, defined by the equation sech x = 1/cosh x.

f. The hyperbolic cosecant, defined by the equation csch x = 1/sinh x.

单词	hyperbolic function
释义	hyperbolic function n. Any of a set of six functions related, for a real or complex variable x, to the hyperbola in a manner analogous to the relationship of the trigonometric functions to a circle, including: a. The hyperbolic sine, defined by the equation sinh x = ¹/₂ (e^x - e^-^x). b. The hyperbolic cosine, defined by the equation cosh x = ¹/₂ (e^x + e^-^x). c. The hyperbolic tangent, defined by the equation tanh x = sinh x/cosh x. d. The hyperbolic cotangent, defined by the equation coth x = cosh x/sinh x. e. The hyperbolic secant, defined by the equation sech x = 1/cosh x. f. The hyperbolic cosecant, defined by the equation csch x = 1/sinh x.
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