Sentence examples for mathematical formulation provides from inspiring English sources

The proposed mathematical formulation provides insights into the variation of step length and inter-leg angle with respect to the position and location of the centres for mass of both prosthetic and physiological legs.

Solution of this mathematical formulation provides the optimal system configuration as well as the optimal operating conditions and design parameters required for each cooler unit in the network and in the cooling tower.

These assumptions and mathematical formulations provided a robust fit to the available data [ 7].

The main contribution for this paper is building a deriving mathematical formulation that provides relationship with successfully chance for getting interface during interaction between multiple services.

At first, a mathematical formulation is provided to establish the relation between the change in ARX model coefficients and the normalized stiffness of a structure.

To illustrate the problem addressed in this paper, a mathematical formulation is provided.

A concise summary of the full mathematical formulation is provided in Additional file 1.

Listing practices separately from content, as in the CCSM formulation, provides one way of highlighting mathematical practices and drawing attention to their nature and range.

These data are examined alongside data from the UK Coal Authority database and combined with simple mathematical formulations to provide a framework through which to understand passive treatment schemes from a process-orientated perspective.

Thus, a theoretical approach based on mathematical formulations can provide an alternative to complement experimental methods.

The detailed description of the implemented methods and complete mathematical formulations are provided as supplementary material (Additional file 2), also available on the project's website.