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The selection of appropriate mathematical functions has high impact on model performance.
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For modeling peak load reduction, which would be achieved by DR/DSM measures, three alternative mathematical functions have been proposed and compared.
Even though a number of mathematical functions have been proposed, there are still disadvantages of the models like very demanding in terms of calculation time.
In the example, 22 mathematical functions have been specially designed and 8 easily obtained signal features are used to construct the diagnostic model.
Even though a number of new mathematical functions have been proposed for modeling wind speed probability density distributions, still the Weibull function continues to be the most commonly used model in the literature.
A sigmoid formula is a mathematical function having an "S" shape.
The observed gradations in the observed data are attributed to factors of known global distribution using mathematical functions that have no biological meaning.
The theory of set-valued functions has been much related to the control theory and the mathematical economics.
The theory of set-valued functions has been much related with the control theory and the mathematical economics.
Once the cost tolerance functions have been generated, mathematical models for tolerance synthesis can be built.
The research on convexity and generalized convexity is one of the important subjects in mathematical programming, numerous generalizations of convex functions have been proved useful for developing suitable optimization problems (see [1 3]).
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