Sentence examples for defined mathematically from inspiring English sources

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.

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.

"You have to define mathematically".

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

The questions are addressed by presenting a methodology to define mathematically defined and physically feasible gas supply configurations based on a general case.

The model was used to interpret and define mathematically the biochemical oxygen demand (BOD5) of an organic solution with respect to the universally accepted BOD check solutions containing equal mass concentrations of glucose and glutamic acid.

Efficiency can be define mathematically as E = 1 - frac{{mathop sum nolimits_{i = 1}^{N} (T_{i} - O_{i} )^{2} }}{{sumnolimits_{i = 1}^{N} {left( {T_{i} - {bar{T}}_{i}} right)^{2} } }}where T i is measured output (Target), O i is the predicted output from ANN and ({bar{T}}_{i}) is the mean measured output.