hyperbolic cotangent

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• hyperbolic cotangent — noun : the hyperbolic function that is analogous to the cotangent and defined by the equation coth x = cosh x/sinh x abbreviation coth …   Useful english dictionary

• Hyperbolic function — A ray through the origin intercepts the hyperbola in the point , where is twice the area between the ray and the …   Wikipedia

• hyperbolic functions — ▪ mathematics also called  hyperbolic trigonometric functions        the hyperbolic sine of z (written sinh z); the hyperbolic cosine of z (cosh z); the hyperbolic tangent of z (tanh z); and the hyperbolic cosecant, secant, and cotangent of z.… …   Universalium

• Hyperbolic secant distribution — Probability distribution name =hyperbolic secant type =density pdf cdf parameters = none support =x in ( infty; +infty)! pdf =frac12 ; operatorname{sech}!left(frac{pi}{2},x ight)! cdf =frac{2}{pi} arctan!left [exp!left(frac{pi}{2},x ight) ight] ! …   Wikipedia

• hyperbolic function — Math. a function of an angle expressed as a relationship between the distances from a point on a hyperbola to the origin and to the coordinate axes, as hyperbolic sine or hyperbolic cosine: often expressed as combinations of exponential functions …   Universalium

• hyperbolicfunction — hyperbolic function n. Any of a set of six functions related, for a real or complex variable x, to the hyperbola in a manner analogous to the relationship of the trigonometric functions to a circle, including: a. The hyperbolic sine, defined by… …   Universalium

• coth — abbr. Math. hyperbolic cotangent. * * * abbreviation Etymology: cotangent + hyperbolic hyperbolic cotangent * * * coth /koth/ abbrev Hyperbolic cotangent (see hyperbolic functions under ↑hyper ) * * * [käTH] abbr. hyperbolic cotangent Origin:… …   Useful english dictionary

• Matsubara frequency — In thermal quantum field theory, the Matsubara frequency summation is the summation over discrete imaginary frequency. It takes the following form , where the imaginary frequency ω is usually taken from either of the following two sets (with ) …   Wikipedia

• Polylogarithm — Not to be confused with polylogarithmic. In mathematics, the polylogarithm (also known as Jonquière s function) is a special function Lis(z) that is defined by the infinite sum, or power series: It is in general not an elementary function, unlike …   Wikipedia

• Areatangens Hyperbolicus und Areakotangens Hyperbolicus — sind die Umkehrfunktionen von Tangens Hyperbolicus und Kotangens Hyperbolicus und damit Area Funktionen. Schreibweisen: Letztere wird seltener benutzt, um die Verwechselung mit dem Kehrwert des hyperbolischen (Ko)Tangens zu vermeiden. Es ist …   Deutsch Wikipedia

• Cotangens-Hyperbolicus — Tangens Hyperbolicus und Kotangens Hyperbolicus sind Hyperbelfunktionen. Man nennt sie auch Hyperbeltangens oder hyperbolischen Tangens bzw. Hyperbelkotangens oder hyperbolischen Kotangens. Inhaltsverzeichnis 1 Schreibweisen 2 Definitionen 3… …   Deutsch Wikipedia