Sentence examples for mathematical procedure to from inspiring English sources

This paper describes a new mathematical procedure to calculate the periodic steady state of the sequencing batch reactor (SBR).

We present a method by which the fluorescence angiograms of the CAM vasculature were recorded and analyzed by a multistep mathematical procedure to obtain a skeleton representation of the vessels and capillaries.

A detailed explanation of the mathematical procedure to generate a matrix form of the Taylor series expansion for a function of two variables is presented along with the algorithm of an implementation in MATLAB®.

In this work, the angular dependence of optical efficiency factor of both CPC-1 and CPC-2 for concentrating radiation on the RWARIA was derived, and a mathematical procedure to estimate daily radiation accepted by the RWARIA by using east-west oriented CPC-1 and CPC-2 was suggested based on the solar geometry and monthly horizontal radiation.

In this work, a detailed mathematical procedure to estimate collectible radiation on the base of a V-trough concentrator, to which solar cells are attached, was developed based on the imaging principle of planar mirrors, solar geometry and monthly horizontal radiation.

Optimization is a mathematical procedure to determine devoting the optimal allocation to scarce resources, and it helps to get the best result from the model solution.

We provide systematic mathematical procedures to obtain the closed-form invariant slow manifold, along with required admissible boundary conditions.

Here, we propose new mathematical procedures to evaluate the state of a system, based on the building of relative reference state and indicators of nutrient over-enrichment.

In this paper, we describe the development, implementation and application of a novel mathematical procedure devoted to formulating the daily load profiles of off-grid consumers in rural areas.

By summing (u_{r}=u_{r}^{text {dis}}+u_{r}^{text {tra}}), we directly obtain the analytical solution (17) without adjusting the volume change; the mathematical procedure required to obtain this result is given in the Appendix.

In the context of the recently developed breakage mechanics that is based on thermodynamics principles, this paper presents a mathematical modelling procedure to implement the simple (i.e., linear elastoplastic) breakage constitutive model using finite element analysis (FEA) with illustrations by engineering applications.