Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Hyperbolic angle and Inverse hyperbolic functions

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Hyperbolic angle and Inverse hyperbolic functions

Hyperbolic angle vs. Inverse hyperbolic functions

In mathematics, a hyperbolic angle is a geometric figure that divides a hyperbola. The science of hyperbolic angle parallels the relation of an ordinary angle to a circle. The hyperbolic angle is first defined for a "standard position", and subsequently as a measure of an interval on a branch of a hyperbola. A hyperbolic angle in standard position is the angle at (0, 0) between the ray to (1, 1) and the ray to (x, 1/x) where x > 1. The magnitude of the hyperbolic angle is the area of the corresponding hyperbolic sector which is ln x. Note that unlike circular angle, hyperbolic angle is unbounded, as is the function ln x, a fact related to the unbounded nature of the harmonic series. The hyperbolic angle in standard position is considered to be negative when 0 a > 1 so that (a, b) and (c, d) determine an interval on the hyperbola xy. In mathematics, the inverse hyperbolic functions are the inverse functions of the hyperbolic functions.

Similarities between Hyperbolic angle and Inverse hyperbolic functions

Hyperbolic angle and Inverse hyperbolic functions have 11 things in common (in Unionpedia): Angle, Area, Circular sector, Complex number, Hyperbolic function, Hyperbolic sector, Mathematics, Natural logarithm, Real number, Unit circle, Unit hyperbola.

Angle

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angle and Hyperbolic angle · Angle and Inverse hyperbolic functions · See more »

Area

Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.

Area and Hyperbolic angle · Area and Inverse hyperbolic functions · See more »

Circular sector

A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

Circular sector and Hyperbolic angle · Circular sector and Inverse hyperbolic functions · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Hyperbolic angle · Complex number and Inverse hyperbolic functions · See more »

Hyperbolic function

In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions.

Hyperbolic angle and Hyperbolic function · Hyperbolic function and Inverse hyperbolic functions · See more »

Hyperbolic sector

A hyperbolic sector is a region of the Cartesian plane bounded by rays from the origin to two points (a, 1/a) and (b, 1/b) and by the rectangular hyperbola xy.

Hyperbolic angle and Hyperbolic sector · Hyperbolic sector and Inverse hyperbolic functions · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Hyperbolic angle and Mathematics · Inverse hyperbolic functions and Mathematics · See more »

Natural logarithm

The natural logarithm of a number is its logarithm to the base of the mathematical constant ''e'', where e is an irrational and transcendental number approximately equal to.

Hyperbolic angle and Natural logarithm · Inverse hyperbolic functions and Natural logarithm · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Hyperbolic angle and Real number · Inverse hyperbolic functions and Real number · See more »

Unit circle

In mathematics, a unit circle is a circle with a radius of one.

Hyperbolic angle and Unit circle · Inverse hyperbolic functions and Unit circle · See more »

Unit hyperbola

In geometry, the unit hyperbola is the set of points (x,y) in the Cartesian plane that satisfy the implicit equation x^2 - y^2.

Hyperbolic angle and Unit hyperbola · Inverse hyperbolic functions and Unit hyperbola · See more »

The list above answers the following questions

Hyperbolic angle and Inverse hyperbolic functions Comparison

Hyperbolic angle has 62 relations, while Inverse hyperbolic functions has 59. As they have in common 11, the Jaccard index is 9.09% = 11 / (62 + 59).

References

This article shows the relationship between Hyperbolic angle and Inverse hyperbolic functions. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »