Definition of Hyperbolic logarithm. Meaning of Hyperbolic logarithm. Synonyms of Hyperbolic logarithm

Here you will find one or more explanations in English for the word Hyperbolic logarithm. Also in the bottom left of the page several parts of wikipedia pages related to the word Hyperbolic logarithm and, of course, Hyperbolic logarithm synonyms and on the right images related to the word Hyperbolic logarithm.

Definition of Hyperbolic logarithm

Hyperbolic logarithm
Hyperbolic Hy`per*bol"ic, Hyperbolical Hy`per*bol"ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. 2. (Rhet.) Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression. ``This hyperbolical epitaph.' --Fuller. Hyperbolic functions (Math.), certain functions which have relations to the hyperbola corresponding to those which sines, cosines, tangents, etc., have to the circle; and hence, called hyperbolic sines, hyperbolic cosines, etc. Hyperbolic logarithm. See Logarithm. Hyperbolic spiral (Math.), a spiral curve, the law of which is, that the distance from the pole to the generating point varies inversely as the angle swept over by the radius vector.

Meaning of Hyperbolic logarithm from wikipedia

- 1, by determination of the area of hyperbolic sectors. Their solution generated the requisite "hyperbolic logarithm" function, which had the properties...
- geometry Hyperbolic growth, growth of a quantity toward a finite-time singularity Hyperbolic logarithm, original designation of natural logarithm (1647–1748)...
- by a hyperbola. His findings led to the natural logarithm function, once called the hyperbolic logarithm since it is obtained by integrating, or finding...
- common use: inverse hyperbolic sine, inverse hyperbolic cosine, inverse hyperbolic tangent, inverse hyperbolic cosecant, inverse hyperbolic secant, and inverse...
- In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which...
- {\displaystyle A(tu)=A(t)+A(u).} At first the reaction to Saint-Vincent's hyperbolic logarithm was a continuation of studies of quadrature as in Christiaan Huygens...
- In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...
- corresponding hyperbolic sector, which turns out to be ln⁡x{\displaystyle \operatorname {ln} x}. Note that, because of the role pla**** by the natural logarithm: Unlike...
- hyperbolicus est = 1), … " ( … (e denotes that number whose hyperbolic [i.e., natural] logarithm is equal to 1) … ) Remmert, Reinhold (1991). Theory of Complex...
- logarithm is obtained by taking as base "the number for which the hyperbolic logarithm is one", sometimes called Euler's number, and written e{\displaystyle...