Sentence examples for mathematical tools applied from inspiring English sources

This paper presents a description of the mathematical tools applied, and a detailed discussion of the results obtained.

The model response obtained with the imbedded identified parameters correlates well with the target values, therefore, justifying the use of the underlying concept and the mathematical instruments and numerical tools applied.

These mathematical tools are applied to a new approach for redundancy solving including optimization criteria and multiple task performance.

Finally, this study indicates that the dynamics in the magnetosphere can be characterised in more detail when high-resolution data are used and more objective mathematical tools are applied.

They provide a rigorous development of the mathematical tools and apply them to understand the pricing models developed for use in the financial markets.

To do so, a concrete mathematical tool is applied to solve a set of complicated high-order coupled equations of motion for a layered magneto-electro-elastic structure.

I'd like to see Information Theory used as a mathematical tool and applied to every critter.

Where are these tools applied?