In mathematical form we have (g=g v)).
Expressing it in the mathematical form, we have begin{aligned} u_{t}= int_{R^{d}} K x, y) bigl[u y, t -u x, t -u xr],dy+f(x, u).
Study of the fundamental phenomena upon which chemical engineering is based has necessitated their description in mathematical form and has led to more sophisticated mathematical techniques.
Raffman (1994) and (1996) agree with Kamp that the mathematical induction form has a false major premise, however Raffman retains a standard semantics for the universal quantifier; the conditional sorites is accordingly valid but has some false premise.
Neither the Druett model nor other models of airborne infection with more specified variables and more complex mathematical forms (32, 33 ) have been validated against epidemiologic data of any airborne infection.
Four mathematical forms of preexisting models have been studied: Model 1 (hyperbolic), Model 2 (square-root hyperbolic), Model 3 (square-root hyperbolic-tangent) and Model 4 (exponential).
It is shown that measured power spectral densities (spectra) that closely resemble power-law spectra may, in fact, have mathematical forms that are not power laws in the mathematical sense.
While, ANNs have complex mathematical form which make their applicability difficult.
First, input data of the MCDM approach can be extended to cases in which the data of the problem has different mathematical forms such as extensions of fuzzy sets, e.g., flou sets, fuzzy multi-sets, bipolar fuzzy sets, and interval data structure.
On the other hand, the mathematician does seem to know as much as would be needed to qualify as having knowledge of the mathematical Forms.
