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Because ρ 0 is a positive function, from (2.20) and (4.1) we obtain that σ is an increasing function.
Proof Because ρ 0 is a positive function, from (2.4) and (2.11) we obtain that σ is a positive increasing function.
The inverse kinematic problem can be formulated mathematically as determining a Riemannian metric on a bounded domain (the Earth) given by d s 2 = 1 c 2 ( x ) d x 2, where c is a positive function, from the length of geodesics (travel times) joining points in the boundary.
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In Keynes' model, saving was a positive function of income, and, from both cross-section studies and casual empiricism, it was obvious that the savings ratio rose as income increased.
Note that (rho ) is a positive function.
Let be a positive function satisfying.
Let be a positive, increasing function and a positive function such that satisfies the following conditions.
Here h is an integrable function from R n to R which satisfies the following two conditions[34]: h is a non zero almost everywhere and a positive function.
Let be a positive Volterra operator, and for every positive there exist a positive function such that for then the Cauchy function of (1.10) is positive for.
where and is a positive function on with.
Evidence from the killifish, Fundulus hereroclitus, along a temperature cline suggests that variation in gene expression among populations is a positive function of within population variation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com