If the frequency ratio follows a 2 1 ratio (or closer), then the mathematical basis of using two cosine functions of different frequency ranges to obtain consecutive in-phase or anti-phase superposition to yield lower and higher peaks respectively, is verified.
With the help of a computer designed by Veltman, the two men provided the needed mathematical basis, which they used to identify the properties of the W and Z particles (massive carriers of the weak force) predicted by the theory.
Firstly, a nonlinear mathematical model of the converter was established by using the state space average method, and on this basis, using small signal analysis method to convert the nonlinear mathematical model to a continuum mathematical model.
In this paper, the SPA method is placed on a firm mathematical basis by the use ofvector space theory.
The mathematical basis for the use of this method for measurements on single phase materials is well documented.
Along with the British scientists J.B.S. Haldane and R.A. Fisher, Wright was one of the scientists who developed a mathematical basis for modern evolutionary theory, using statistical techniques toward this end.
Methods for parameter extraction can rely on purely mathematical basis, calling for intensive use of computational resources, or in human expertise to interpret results.
Finite element modelling and classical modal reduction in the mathematical basis of the controlled modes are used for the state model.
Differences in the standard deviation of the methylation scores was used as a mathematical basis for the definition of variable or constant methylation patterns: methylation score standard deviation of ≤0.09 was defined as constant methylation, and >0.09 as variable methylation.
A cryptocurrency like bitcoin, primecoin differs at its core because it uses a totally separate mathematical basis for mining.
