hyperbolic function

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hyperbolic function

The hyperbolic functions appear with some frequency in applications, and are quite similar in many respects to the trigonometric functions. This is a bit surprising ... ,Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the equilateral hyperbola. The hyperbolic functions take a real argument called a hyperbolic angle. ... In complex analysis, the hyperbo,The two basic hyperbolic functions are: sinh and cosh (pronounced "shine" and "cosh"). sinh x = ex − e−x 2. cosh x = ex + e−x 2. They are not the same as sin(x) ... , The hyperbolic functions enjoy properties similar to the trigonometric functions; their definitions, though, are much more straightforward:.,The hyperbolic functions share many properties with the corresponding circular functions. In fact, just as the circle can be represented parametrically by ... ,Introduction to the hyperbolic functions. General. The six well‐known hyperbolic functions are the hyperbolic sine , hyperbolic cosine , hyperbolic tangent ... ,The hyperbolic trigonometric functions extend the notion of the parametric equations for a unit circle ... , A function of an angle expressed as a relationship between the distances from a point on a hyperbola to the origin and to the coordinate axes, ...,在数学中,双曲函数是一类与常见的三角函数(也叫圆函数)类似的函数。最基本的双曲函数是双曲 ...... also owe to Lambert the first systematic development of the theory of hyperbolic functions and, indeed, our present notation for these functions.

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hyperbolic function 相關參考資料
4.11 Hyperbolic Functions

The hyperbolic functions appear with some frequency in applications, and are quite similar in many respects to the trigonometric functions. This is a bit surprising ...

https://www.whitman.edu

Hyperbolic function - Wikipedia

Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the equilateral hyperbola. The hyperbolic functions take a real argument called a...

https://en.wikipedia.org

Hyperbolic Functions - Math is Fun

The two basic hyperbolic functions are: sinh and cosh (pronounced "shine" and "cosh"). sinh x = ex − e−x 2. cosh x = ex + e−x 2. They are not the same as sin(x) ...

https://www.mathsisfun.com

Hyperbolic Functions - SOS Math

The hyperbolic functions enjoy properties similar to the trigonometric functions; their definitions, though, are much more straightforward:.

http://www.sosmath.com

Hyperbolic Functions -- from Wolfram MathWorld

The hyperbolic functions share many properties with the corresponding circular functions. In fact, just as the circle can be represented parametrically by ...

http://mathworld.wolfram.com

Hyperbolic sine: Introduction to the hyperbolic functions

Introduction to the hyperbolic functions. General. The six well‐known hyperbolic functions are the hyperbolic sine , hyperbolic cosine , hyperbolic tangent ...

http://functions.wolfram.com

Hyperbolic Trigonometric Functions | Brilliant Math & Science Wiki

The hyperbolic trigonometric functions extend the notion of the parametric equations for a unit circle ...

https://brilliant.org

What is a hyperbolic function? - Quora

A function of an angle expressed as a relationship between the distances from a point on a hyperbola to the origin and to the coordinate axes, ...

https://www.quora.com

双曲函数- 维基百科,自由的百科全书

在数学中,双曲函数是一类与常见的三角函数(也叫圆函数)类似的函数。最基本的双曲函数是双曲 ...... also owe to Lambert the first systematic development of the theory of hyperbolic functions and, indeed, our present notation for these functions.

https://zh.wikipedia.org