- 1, by
determination of the area of
hyperbolic sectors.
Their solution generated the
requisite "
hyperbolic logarithm" function,
which had the properties...
- by a hyperbola. His
findings led to the
natural logarithm function, once
called the
hyperbolic logarithm since it is
obtained by integrating, or finding...
-
hyperbolic sector,
which turns out to be ln x {\displaystyle \operatorname {ln} x} . Note that,
because of the role pla**** by the
natural logarithm:...
- and the
tradition of
logarithms in prosthaphaeresis,
leading to the term "
hyperbolic logarithm", a
synonym for
natural logarithm. Soon the new function...
-
common use:
inverse hyperbolic sine,
inverse hyperbolic cosine,
inverse hyperbolic tangent,
inverse hyperbolic cosecant,
inverse hyperbolic secant, and inverse...
-
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...
-
constant approximately equal to 2.71828 that is the base of the
natural logarithm and
exponential function. It is
sometimes called Euler's number, after...
- The
hyperbolic distribution is a
continuous probability distribution characterized by the
logarithm of the
probability density function being a hyperbola...
- {\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...
-
through description of the
hyperbolic logarithm.
Section 122
labels the
logarithm to base e the "natural or
hyperbolic logarithm...since the
quadrature of...
