mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in...
27 KB (4,186 words) - 04:13, 8 January 2025
trigonometric functions. The inverse hyperbolic functions are: inverse hyperbolic sine "arsinh" (also denoted "sinh−1", "asinh" or sometimes "arcsinh") inverse hyperbolic...
29 KB (4,824 words) - 01:34, 13 January 2025
indefinite integrals (antiderivatives) of expressions involving the inverse hyperbolic functions. For a complete list of integral formulas, see lists of integrals...
6 KB (1,857 words) - 13:07, 3 December 2023
mathematics, the inverse trigonometric functions (occasionally also called antitrigonometric, cyclometric, or arcus functions) are the inverse functions of the...
74 KB (10,605 words) - 05:18, 8 January 2025
each inverse trigonometric integration formula below there is a corresponding formula in the list of integrals of inverse hyperbolic functions. ∫ arcsin...
6 KB (2,062 words) - 23:45, 30 May 2023
List of integrals of hyperbolic functions List of integrals of inverse hyperbolic functions List of integrals of exponential functions List of integrals...
29 KB (5,611 words) - 21:09, 30 January 2024
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...
43 KB (5,200 words) - 01:55, 5 January 2025
Inverse trigonometric functions (arcsin, arccos, arctan, etc.) and inverse hyperbolic functions (arsinh, arcosh, artanh, etc.) can be defined in terms of logarithms...
6 KB (901 words) - 16:26, 15 August 2024
functions. Inverse hyperbolic functions: inverses of the hyperbolic functions, analogous to the inverse circular functions. Logarithms: the inverses of...
10 KB (1,065 words) - 20:52, 29 October 2024
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...
31 KB (809 words) - 19:10, 7 November 2024
}}}}}}}}.} The inverse hyperbolic functions are related to the inverse trigonometric functions similar to how the hyperbolic functions are related to...
15 KB (4,200 words) - 23:38, 10 December 2024
List of mathematical series (section Trigonometric, inverse trigonometric, hyperbolic, and inverse hyperbolic functions relationship)
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...
18 KB (5,205 words) - 22:00, 11 July 2024
rational, trigonometric, hyperbolic, and exponential functions, and their inverses (e.g., arcsin, log, or x1/n). All elementary functions are continuous on their...
11 KB (1,288 words) - 14:35, 3 January 2025
Closed-form expression (redirect from Closed-form function)
and include trigonometric functions, inverse trigonometric functions, hyperbolic functions, and inverse hyperbolic functions. The fundamental problem of...
16 KB (1,882 words) - 04:35, 19 August 2024
{gd} \psi } . The Gudermannian function reveals a close relationship between the circular functions and hyperbolic functions. It was introduced in the 1760s...
38 KB (5,369 words) - 16:23, 12 November 2024
Y\end{aligned}}} The tangent, as well as inverse trigonometric functions, hyperbolic and inverse hyperbolic functions have also been defined for matrices:...
4 KB (601 words) - 12:50, 5 August 2024
wide variety of sigmoid functions including the logistic and hyperbolic tangent functions have been used as the activation function of artificial neurons...
13 KB (1,684 words) - 13:51, 4 January 2025
trigonometric functions has a corresponding inverse function, and an analog among the hyperbolic functions. The oldest definitions of trigonometric functions, related...
77 KB (10,619 words) - 09:22, 16 January 2025
Proportionality (mathematics) (redirect from Inverse proportion)
Growth Linear growth Hyperbolic growth Weisstein, Eric W. "Directly Proportional". MathWorld – A Wolfram Web Resource. "Inverse variation". math.net....
8 KB (1,013 words) - 06:01, 16 October 2024
derivative of a constant function is 0. Inverse hyperbolic functions over the complex domain are multiple-valued because hyperbolic functions are periodic along...
12 KB (1,520 words) - 22:39, 13 December 2024
Differentiation rules (redirect from Trigonometric function derivations)
redirect targets Hyperbolic functions – Collective name of 6 mathematical functions Inverse hyperbolic functions – Mathematical functions Inverse trigonometric...
16 KB (2,763 words) - 10:37, 26 June 2024
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...
7 KB (895 words) - 18:14, 7 January 2025
_{x}} or Δ − 1 {\displaystyle \Delta ^{-1}} , is the linear operator, inverse of the forward difference operator Δ {\displaystyle \Delta } . It relates...
14 KB (2,823 words) - 10:47, 22 December 2024
Involution (mathematics) (redirect from Self-inverse function)
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...
17 KB (2,235 words) - 23:47, 4 January 2025
In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied...
127 KB (23,799 words) - 00:01, 21 January 2025
functions Trigonometric functions Hyperbolic functions Logarithmic functions Inverse trigonometric functions Inverse hyperbolic functions Residue theory Isometries...
5 KB (399 words) - 09:24, 23 July 2024
valve disease Autosomal recessive inheritance ar-, a prefix of inverse hyperbolic functions Autoregressive model, concerning random processes in statistics...
4 KB (434 words) - 16:34, 1 January 2025
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...
22 KB (2,592 words) - 08:31, 26 August 2024
boundaries. Cross fluid Hyperbolic growth Heaviside step function Hill equation (biochemistry) Hubbert curve List of mathematical functions STAR model Michaelis–Menten...
54 KB (7,748 words) - 07:47, 14 January 2025
smaller, sooner reward, inverse proportionality to delay would be described by a plot of value by delay that had a hyperbolic shape, and that when the...
30 KB (3,977 words) - 20:22, 27 October 2024