Sentence examples for mathematical formulations are from inspiring English sources

Three mathematical formulations are proposed and algorithms based on the proposed formulations are evaluated.

Bilevel and single level mathematical formulations are presented to model the problem from the leader's and the follower's perspectives.

Finally, two deterministic and robust mathematical formulations are compared by a number of nominal realizations under randomly generated test problems.

Mathematical formulations are given for the vortex-sheet model and the continuous mean flow model of the jet flow profiles.

The applicability of the mathematical formulations are investigated in case studies of seawater desalination and surface water treatment for the production of potable water.

In this study, detailed mathematical formulations are derived for an out-in configuration that is commonly used in seawater desalination applications.

Time-lag analysis was conducted for gas permeation in such a structure and mathematical formulations were derived for two cases.

Two constitutively different underlying mathematical formulations were applied to the FE models to reveal possible differences in their predictions for the relaxation response.

Mathematical formulations were first developed for γn and αf in terms of drill geometric parameters such as helix angle, flute contour, and cutting edge contour.

The mathematical formulations were solved implicitly for pressure, water saturation, and gas saturation.

Poloidal as well as toroidal movement of plasma energy was investigated and mathematical formulations were designed as well.