Sentence examples for mathematical formulation presented from inspiring English sources

The mathematical formulation presented in this section addresses the so-called deterministic problem, i.e., all input parameters such as, water flows, demands, and fuel prices, are single and known values.

The objective of this appendix is to describe the basics of plasticity that may be useful to understand the mathematical formulation presented in the main body of this chapter.

The objective of this appendix is to describe the basics of plasticity that may be useful for understanding the mathematical formulation presented in the main body of this chapter.

The mathematical formulation presented in this paper will allow organisations to extend Six Sigma process improvement principles in the Industry 4.0 context and implement the 7 steps of 7Epsilon in order to satisfy the requirements of clauses 6.1 and 7.1.6 of the ISO9001 2015 and the aerospace AS9100 2016 quality standard.

Based on the mathematical formulation presented in Methods, the ICO problem can be described as the maximization of ICU fitness, ΨICU (see Eqn. 23), subject to the constraint that the codon sequence can be translated into the target protein (see Eqns. 3, 4 and 11).

Four operational cases are considered and structural considerations of corresponding mathematical formulations presented.

It is demonstrated that the novel mathematical formulations presented here can correctly predict the rate of fluid release from moving fibrous sheets onto solid surfaces with different hydrophilicity as a function of time.

The organization of the paper is as follows: following the introduction and literature review in Sect. 1, mathematical model of multi-choice stochastic bi-level programming problem (MCSBLPP) is presented in Sect. 2. Mathematical formulation is presented in Sect. 3 and solution procedure in Sect. 4. To verify the proposed methodology of the paper, a numerical example is presented in Sect. 5.

An effort to present the proposed method as a mathematical formulation is presented herein.

Problem description and mathematical formulation are presented in the "Problem definition" and "Mathematic formulation", respectively.

A mathematical formulation is presented which considers the differences between our model and traditional models.