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From then on, the central path-following methods for mathematical programming have become an active research subject.
The two methods for mathematical modeling that are discussed in the chapter are transfer function in the frequency domain, and state-space representation in the time domain.
The methods for mathematical modelling of the chilldown and cryogenic component flow processes have been proposed considering mass - and energy-conservation equations in relation to supply lines, tank gas blanket and tank volume filled with cryogen liquid.
As is well known, one of the best methods for mathematical describing this type phenomena is modeling of the problems as singular fractional integro-differential equations, which have been studied by researchers especially in recent decades (see, for example, [15 20] and [21]).
We made projections for transmitted resistance in Botswana by first formulating a continuous-time Markov chain model; see Materials & Methods for mathematical details.
The mode of the resulting posterior distribution, the most probable trajectory, is the percept: a compromise between imprecise sensorineural information and the observer's expectation of slow movement (see Materials and Methods for mathematical details).
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Data fitting is a method for mathematical optimization.
The paper presents a method for mathematical modelling of threedimensional foils applied totrawl doors.
Wu et al. [14] study the necessary optimality conditions and the second-order sufficient conditions, and they present a smoothing method for mathematical programs governed by second-order cone constrained generalized equations.
Conservation laws are used for the development of appropriate numerical methods and for mathematical analysis, in particular, existence, uniqueness and stability analysis.
"This paper introduces the concept of a non-cooperative game and develops methods for the mathematical analysis of such games," the paper begins.
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