In our view, this can best be achieved by more detailed comparison of the alternate algorithms, in mathematical form, as well as in their computational implementations, via licensed source code for desktop applications.
The intercell interference from PU to SU can be expressed in the mathematical form as follows: (4).
The visual expression of the model can be transformed into a mathematical form as an adjacency matrix which indicates the relationships among nodes with fuzzy values.
Specifically, for effective vibration mitigation, we show that the NLTVA should feature a nonlinearity possessing the same mathematical form as that of the primary system.
Nevertheless, the new elastic force derived from the modified tension energy has exactly the same mathematical form as the original one except the different definitions of tension.
Comparing (21) with (27), and (22) with (28), it is obvious that the electrical power flow in a transmission line has the same mathematical form as the mechanical power through a shaft.
Like the Green's functions for the infinite laminates and those containing holes/cracks, the present solutions associated with the in-plane concentrated forces and out-of-plane concentrated moments have exactly the same mathematical form as those of the corresponding two-dimensional problems, in which the only difference is the contents of the symbols.
It includes space, time and causality, as well as psychological, logical and mathematical forms of explanation.
With the attribute data in various mathematical forms unified as triangular fuzzy numbers, their probabilities of success can be conveniently calculated by a unified formula once their corresponding positive and negative ideal solutions are determined.
First, input data of the MCDM approach can be extended to cases in which the data of the problem has different mathematical forms such as extensions of fuzzy sets, e.g., flou sets, fuzzy multi-sets, bipolar fuzzy sets, and interval data structure.
