mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in...

trigonometric functions. The inverse hyperbolic functions are: inverse hyperbolic sine "arsinh" (also denoted "sinh−1", "asinh" or sometimes "arcsinh") inverse hyperbolic...

indefinite integrals (antiderivatives) of expressions involving the inverse hyperbolic functions. For a complete list of integral formulas, see lists of integrals...

mathematics, the inverse trigonometric functions (occasionally also called antitrigonometric, cyclometric, or arcus functions) are the inverse functions of the...

each inverse trigonometric integration formula below there is a corresponding formula in the list of integrals of inverse hyperbolic functions. ∫ arcsin...

the inverse of the sine function is typically called the arcsine function, written as arcsin(x). Similarly, the inverse of a hyperbolic function is indicated...

List of integrals of hyperbolic functions List of integrals of inverse hyperbolic functions List of integrals of exponential functions List of integrals...

Inverse trigonometric functions (arcsin, arccos, arctan, etc.) and inverse hyperbolic functions (arsinh, arcosh, artanh, etc.) can be defined in terms of logarithms...

functions. Inverse hyperbolic functions: inverses of the hyperbolic functions, analogous to the inverse circular functions. Logarithms: the inverses of...

second word of دالة زائدية "hyperbolic function") is added to the end of trigonometric functions to express hyperbolic functions. This is similar to the way...

}}}}}}}}.} The inverse hyperbolic functions are related to the inverse trigonometric functions similar to how the hyperbolic functions are related to...

infinite series of any rational function of n {\displaystyle n} can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition...

and include trigonometric functions, inverse trigonometric functions, hyperbolic functions, and inverse hyperbolic functions. The fundamental problem of...

{gd} \psi } . The Gudermannian function reveals a close relationship between the circular functions and hyperbolic functions. It was introduced in the 1760s...

rational, trigonometric, hyperbolic, and exponential functions, and their inverses (e.g., arcsin, log, or x1/n). All elementary functions are continuous on their...

Y\end{aligned}}} The tangent, as well as inverse trigonometric functions, hyperbolic and inverse hyperbolic functions have also been defined for matrices:...

wide variety of sigmoid functions including the logistic and hyperbolic tangent functions have been used as the activation function of artificial neurons...

trigonometric functions has a corresponding inverse function, and an analog among the hyperbolic functions. The oldest definitions of trigonometric functions, related...

Growth Linear growth Hyperbolic growth Weisstein, Eric W. "Directly Proportional". MathWorld – A Wolfram Web Resource. "Inverse variation". math.net....

derivative of a constant function is 0. Inverse hyperbolic functions over the complex domain are multiple-valued because hyperbolic functions are periodic along...

redirect targets Hyperbolic functions – Collective name of 6 mathematical functions Inverse hyperbolic functions – Mathematical functions Inverse trigonometric...

In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied...

_{x}} or Δ − 1 {\displaystyle \Delta ^{-1}} , is the linear operator, inverse of the forward difference operator Δ {\displaystyle \Delta } . It relates...

mathematics, an involution, involutory function, or self-inverse function is a function f that is its own inverse, f(f(x)) = x for all x in the domain of...

hyperbolic sector in standard position has a = 1 and b > 1. Hyperbolic sectors are the basis for the hyperbolic functions. The area of a hyperbolic sector...

functions Trigonometric functions Hyperbolic functions Logarithmic functions Inverse trigonometric functions Inverse hyperbolic functions Residue theory Isometries...

valve disease Autosomal recessive inheritance ar-, a prefix of inverse hyperbolic functions Autoregressive model, concerning random processes in statistics...

can also be generated as the inverse curves of Archimedean spirals, or as the central projections of helixes. Hyperbolic spirals are patterns in the Euclidean...

boundaries. Cross fluid Hyperbolic growth Heaviside step function Hill equation (biochemistry) Hubbert curve List of mathematical functions STAR model Michaelis–Menten...

being associated with distance and time coordinates. Using the inverse hyperbolic function artanh, the rapidity w corresponding to velocity v is w = artanh(v/c)...