Sentence examples for defined to simplify from inspiring English sources

where U xU d)) is defined to simplify the following expressions.

For inclusions with elliptical cross-section, a new concept of "equivalent orientations" is defined to simplify the implementation of elastic models.

where Q−1 is the inverse function of Q function, and C xC d)) is defined to simplify the following expressions.

A set of vectors for the track circuit on per component (vectors of variables); composite variable could be defined to simplify the analysis; if the variables are discrete the integral becomes a sum.

The extended number of variable will generate a modification of Eq. (6) as following: A set of vectors for the track circuit on per component (vectors of variables); composite variable could be defined to simplify the analysis; if the variables are discrete the integral becomes a sum.

Three new vectors are defined to simplify the equation such that, ω ̄ r ( n ) is the frequency vector satisfying Equation 12 at n th frame and ξ ̄ r ( n ), Ψ r ( n ) are related phase vector and diagonal matrix of weighting vector, respectively.

The interest of the concept is the ability to define frameworks to simplify the development process.

In addition, since the adjustments of B 2_2 and 3A _1 have a minor impact from the macro-offloading perspective, these parameters are also assumed to be defined per network to simplify the optimization process (less sensitivity analysis are needed).

In terms of methodological contribution, we defined statistical methods to simplify a general-purpose ontology.

SQL defines aggregate functions to simplify server-side aggregate calculations on data.

The representation of the cornea for electromagnetic calculations required to define firstly how to simplify the structure of the tissue, to keep only the elements appearing necessary to study the particular problem of the edema development influence over the scattering behavior.