Sentence examples for defining mathematically from inspiring English sources

For defining mathematically Pt, we used d0 (Rodrigo and Fares 2012), because higher values of d0 correspond to systems in which there are many different, possible states in (folds), whereas lower values indicate that is predominantly governed by the MFE structure.

"You have to define mathematically".

In more recent work, we have shown that a part of the relaxation response to natural scenes hinges on specific properties of visual scenes that can be defined mathematically (the relative proportions of finely detailed contours as opposed to the more coarse "blobby" contours that are present in the image).

Standard deviation is defined mathematically as follows: {text{Std}}.

This also allows the exergoeconomic optimum to be defined mathematically.

Equal density contours for the autoterms of chirplets are defined mathematically by ellipsoids.

The boundaries of the different flow regimes were defined mathematically, and terminology to define the transition characteristics were presented.

Then we define mathematically this problem, and we obtain the reach probabilities as solutions of a boundary value problem.

In this overview, the interesting and important aspects of fluidization are first introduced conceptually, then defined mathematically.

The measure is defined mathematically and a set of properties and theorems are proved to enable its use.

In the sequel, the problem is analysed and the identified sub-problems are concisely defined, mathematically formulated and solved.