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For that reason, successive transmission probability appears to be a more tractable metric for mathematical analysis.
It is convenient to integrate multiple elements and is suitable for mathematical analysis.
PAC learning (probably approximately correct learning) is a framework for mathematical analysis of machine learning proposed by Valiant [32].
The non-locality of the fractional derivative operator makes it difficult for mathematical analysis and numerical computation.
Although not common in practice, tree topology is suitable for mathematical analysis and it has been commonly used in deriving bounds in the statistical physics literature.
Conservation laws are used for the development of appropriate numerical methods and for mathematical analysis, in particular, existence, uniqueness and stability analysis.
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For ease of mathematical analysis we focus on a continuum description, so that the model may be regarded as a spiking neural field.
They represent the general class of problems where large physical domains are truncated to smaller sections for ease of mathematical analysis.
We developed Arena3D to work together with several other visualization tools; the entire network or graph can be exported to Medusa [ 3] for 3D representations, Pajek [ 8] for further mathematical analysis, or VRML format.
Mathematica® (Wolfram Research) was used for the mathematical analysis and numerical integration of the deterministic models, and also for statistical analysis of stochastic simulations.
"This paper introduces the concept of a non-cooperative game and develops methods for the mathematical analysis of such games," the paper begins.
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