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Callender's rage at last burst the bounds of elementary prudence.
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In this subsection, we will find some upper bounds for (lambda_{p}) in terms of elementary functions to obtain some computable upper bounds for (W_{v} ( x ) ) by using relation (3.7), that is, lambda_{p}=frac{f_{1} ( x_{0} ) }{f_{2} ( x_{0} ) }>min biggl{ frac{2v+2-p}{v+2},1 biggr}, and an analogous technique used in the proof of Subcase 2.4 of Theorem 1.1.
It is well known that the function Φ cannot be expressed as the composition of elementary functions, therefore, it is valuable to find sharp bounds for the Mills ratio by certain simple and elementary functions.
As applications, we get two new bounds for the complete elliptic integral of the second kind in terms of elementary functions.
This is especially true of elementary education.
The setting of "Elementary" might help.
While I was driving a group of elementary school students on a field trip, one of my child's classmates commented on a homeless person we saw ("I hate homeless people") and a wheelchair-bound person ("He's icky").
Knowledge of elementary particles comes primarily from particle accelerators.
Molecular propositions are concatenations of elementary propositions.
A cluster of elementary cells is designed.
Compulsory education consists of eight grades of elementary school.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com