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  2. Hyperbolic functions - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_functions

    The Gudermannian function gives a direct relationship between the circular functions and the hyperbolic functions that does not involve complex numbers. The graph of the function a cosh( x / a ) is the catenary , the curve formed by a uniform flexible chain, hanging freely between two fixed points under uniform gravity.

  3. Hyperbolastic functions - Wikipedia

    en.wikipedia.org/wiki/Hyperbolastic_functions

    The hyperbolastic rate equation of type II, denoted by H2, is defined as = ⁡ (() ()),where is the hyperbolic tangent function, is the carrying capacity, and both and > jointly determine the growth rate.

  4. CORDIC - Wikipedia

    en.wikipedia.org/wiki/CORDIC

    CORDIC (coordinate rotation digital computer), Volder's algorithm, Digit-by-digit method, Circular CORDIC (Jack E. Volder), [1] [2] Linear CORDIC, Hyperbolic CORDIC (John Stephen Walther), [3] [4] and Generalized Hyperbolic CORDIC (GH CORDIC) (Yuanyong Luo et al.), [5] [6] is a simple and efficient algorithm to calculate trigonometric functions, hyperbolic functions, square roots ...

  5. Hyperbolic growth - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_growth

    Growth equations. Like exponential growth and logistic growth, hyperbolic growth is highly nonlinear, but differs in important respects.These functions can be confused, as exponential growth, hyperbolic growth, and the first half of logistic growth are convex functions; however their asymptotic behavior (behavior as input gets large) differs dramatically:

  6. File:Hyperbolic and exponential; sinh.svg - Wikipedia

    en.wikipedia.org/wiki/File:Hyperbolic_and...

    English: Hyperbolic functions can be defined by exponential functions. This graph shows that the hyperbolic cosine function is an average of exponential functions as ⁡ = + (). Created using python and matplotlib library.

  7. Hyperbola - Wikipedia

    en.wikipedia.org/wiki/Hyperbola

    Just as the trigonometric functions are defined in terms of the unit circle, so also the hyperbolic functions are defined in terms of the unit hyperbola, as shown in this diagram. In a unit circle, the angle (in radians) is equal to twice the area of the circular sector which that angle subtends.

  8. Unit hyperbola - Wikipedia

    en.wikipedia.org/wiki/Unit_hyperbola

    The branches of the unit hyperbola evolve as the points (⁡, ⁡) and (⁡, ⁡) depending on the hyperbolic angle parameter . A direct way to parameterizing the unit hyperbola starts with the hyperbola xy = 1 parameterized with the exponential function : ( e t , e − t ) . {\displaystyle (e^{t},\ e^{-t}).}

  9. Hyperbolic trigonometry - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_trigonometry

    In mathematics, hyperbolic trigonometry can mean: The study of hyperbolic triangles in hyperbolic geometry (traditional trigonometry is the study of triangles in plane geometry) The use of the hyperbolic functions; The use of gyrotrigonometry in hyperbolic geometry

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