- 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 lnx{\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...