Sentence examples for by introducing fictitious variables from inspiring English sources

Without loss of generality, k(i) can be defined to be a constant equal to n for all i by introducing fictitious variables in each function: the variable x i is fictitious for a function f if f x1,…, x i −1,0, x i +1,…, x n ) =  f x1,…, x i −1,1, x i +1,…, x n ) for all possible values of x1,…, x i −1, x i +1,…, x n.

First, a topology optimization problem is formulated based on the level set method, and the method of regularizing the optimization problem by introducing fictitious interface energy is explained.

The stress components due to the web penetration are determined by introducing fictitious models with assumed normal and tangential force distributions.

This is accomplished by introducing fictitious bonds and atoms (used only for internal processing) that represent a mobile H group (red H below) and charge group (red plus below).

The proposed coupling is eliminated by introducing slack variables.

By introducing slack variables ζ ≥ 0, equation (16) becomes: (19).

So, we test this hypothesis by introducing binary variables (D2).

This can be circumvented by introducing a fictitious notch radius, according to Neuber and Radaj.

By introducing the fictitious noises, the considered system is converted into one with only uncertain noise variances.

By introducing the fictitious noises to compensate the multiplicative noises, the system under consideration is converted into one with only uncertain noise variances.

The detail geometries of the lamp and the reflector were removed and replaced by introducing a fictitious irradiation surface near louver slots.