Sentence examples for expressions useful from inspiring English sources

We present simple mathematical expressions useful in the creation and evaluation of such libraries.

The scale factors lead to several analytical expressions useful for suggesting efficient operational strategies for the RFR.

The ultimate purpose of this model is to provide simple and accurate expressions useful for providing a temperature and strain rate context for metallurgical analysis of FSW and for the selection of process parameters when using FSW to join novel alloys.

With the aid of these PDF and CDF expressions, useful closed-form formulas for the selected performance parameters were derived.

Spontaneously created, the new language soon becomes a strategy against authority, ultimately responding to general experience and achieving a level of expression useful to all.

A simple expression useful for failure pressure estimates of rocket motor cases having weld mismatch, is presented.

To obtain an explicit expression useful for simulation and design of membrane bioreactors/membrane contactors, steady-state conditions are supposed.

For Lakoff and Johnson, this non-literal language is not merely peripheral expression useful for adding bells and whistles to the bustle of communication, but reflects something deep about how love is conceptualized.

However, a generalization of this expression useful for general coordinates (not just Cartesian) and general spaces (not just Euclidean) takes the form: :ds^2 = \sum_{i,j}^n g_{ij}\, dx_i\, dx_j where gij is called the metric tensor.

The resulting expressions are useful for understanding and comparing the criteria.

These expressions are useful for material engineers and scientists to determine the thermal stresses and strength distributions in FGMs for high temperature applications.