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Exact(10)
where r is the inverse of the function h.
for any real value, with being the Lambert function defined as the inverse of the function:.
If the inverse of the function f /g" exists, then (16) gives (17).
Let us remark that the inverse of the function w→w e w is called the Lambert W function.
According to the assertions of the theorem, the inverse of the function, given by (2.61). is differentiable and fulfills the basic difference equation (2.62).
Here, (H^{-1}) refers to the inverse of the function (H u)=int_{c} ^{u} frac{dy}{phi y)}) for (uge c).
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Our derivation of the bounds on F as functions of the frequency M of the most frequent allele enables us to provide bounds on M as functions of F by taking the inverse of the functions q σ1) and Q σ1).
(Logarithmic function) The logarithmic function is the inverse of the exponential function, such that exp ( log ( x ) ) = log ( exp ( x ) ) = x.
An elementary computation gives R Φ ( A, A, A ) = A. Note that here the function Φ is the inverse of the associated function of the homogeneous mean A, i.e., Φ − 1 ( x ) = A ( 1, x ).
(2.7). between the support function of a convex body and the inverse of the radial function of (see [38, 42, 46, 47] for properties of and results on support and radial functions).
The SigStretch function, denoted, is defined as the inverse of the SigShrink function and is given by (11).
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