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2025-07-25

“Gudermannian”的英文意思

单词 Gudermannian
释义 Gudermannian, a. and n. Math.|gjuːdəˈmænɪən|
[f. the name of Gudermann, a German mathematician who first investigated these functions.]
A. adj. Applied (by Cayley) to the function (denoted by the letters gd) defined by the equation x = log tan (1/4 π + ½ gd x).
B. n. A Gudermannian function.
The circular functions of the Gudermannian of any quantity correspond to the hyperbolic functions of that quantity (e.g. tan gd x = sinh x, etc.).
1876Cayley Elliptic Functions 56 The Gudermannian.Ibid., Instead of the general function am u, we have the gudermannian gd u, giving rise to the two functions sin gd u and cos gd u, or say sg u and cg u.1888Greenhill Chapter Integral Calculus 28 The Gudermannian function connects the circular and hyperbolic functions.
“Gudermannian”的英文意思

　

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