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Now we produce k-exponentially and exponentially convex functions applying defined functionals.
In this paper, a concept for the optimization of continuous nonlinear functions applying crisscross optimization algorithm is introduced.
In Frege we have a fairly general interpretation of sentences as expressing functions applying to arguments.
The blocks of the 2nd and following hidden layers also form additional extended neurons, i.e. composite terms (CT), which define derivatives of composite functions, applying reverse outputs and inputs of back connected blocks of previous layers.
For this family of functions, applying Theorem 13, we define the new class of two-parameter Cauchy type means as follows: overline{M}_{r,s} ( A,Omega_{3} ) :=-L r,s)log M_{r,s} ( A,Omega_{3} ).
For this family of functions, applying Theorem 13, we define the new class of two-parameter Cauchy type means as follows: overline{M}_{r,s} ( A,Omega_{4} ) :=- sqrt{r}+sqrt{s}) log M_{r,s} ( A,Omega_{3} ), and the means from this class are obviously symmetric.
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Firn smoothing functions applied to CO2 data from WDC and EDC.
And temperature and stress transfer Green's functions applied to critical locations of rotor.
Different plants or functions apply one tool or the other without coordinating their application.
Only polynomial basis functions applied to polyhedral and polygonal grids are treated here.
This grading function, called discernability, was used to compare a number of similarity functions applied to an experimental data set.
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