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

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...

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

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

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

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...

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...

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

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

{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...

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

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...

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

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

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

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...

sinh(x). Activation function e (mathematical constant) Equal incircles theorem, based on sinh Hausdorff distance Inverse hyperbolic functions List of integrals...

notion is rarely used. Image and inverse image may also be defined for general binary relations, not just functions. The word "image" is used in three...

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)...

inversive geometry and hyperbolic motions is in the study of mappings of the complex plane by Möbius transformations. Textbooks on complex functions often...

Area function may refer to: Inverse hyperbolic function Antiderivative The function for determining the area of a plane figure This disambiguation page...

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...

even function and an odd function. Evenness and oddness are generally considered for real functions, that is real-valued functions of a real variable. However...

simple approximation for real-valued arguments could be done through Hyperbolic functions: erf ⁡ ( x ) ≈ z ( x ) = tanh ⁡ ( 2 π ( x + 11 123 x 3 ) ) {\displaystyle...

are proportional to the hyperbolic secant function. The hyperbolic secant function is equivalent to the reciprocal hyperbolic cosine, and thus this distribution...

include algebraic functions, exponential function, logarithm, sine, cosine, inverse trigonometric functions, inverse hyperbolic functions. They include also...