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We introduce a mathematical paradigm, the Differential Variational Inequality (DVI) and Differential Complementarity Systems (DCS), for modeling and solving equilibrium and similar problems on dynamic transportation networks.
The (abstract) Tile Assembly Model (aTAM), is a mathematical paradigm for the study and algorithmic design of DNA self-assembly systems.
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First, we feel that the mathematical modeling paradigm of distributed abstract state machines provides an ideal formal basis for constructing, analyzing, and validating abstract requirements specifications of mobile ad hoc network protocols.
To explore the future development and the adaptation of data-driven methods, new mathematical and computational paradigms and broad flexible frameworks are needed.
To explore the future development and the adaptation of data-driven methods, new mathematical and computational paradigms and broad flexible frameworks are needed, which can lead to probabilistic predictions using the minimum amount of information that can be processed expeditiously and be sufficiently accurate for decision making under uncertainty.
Her research speciality is category theory, the "mathematics of mathematics," which studies very general paradigms of mathematical proof that apply simultaneously in many different contexts.
He further explained how mathematical objects offer a paradigm case of such separable intelligible objects.
As such, mathematical evidence is "the paradigm and the means of all evidence in the other sciences" (2 403).
Mathematical ideas are the paradigm of how the human mind unfolds a conceptual universe that parallels and forms an image of God's unfolding of the created world.
Qualitative explanations of how each stability definition works along with its overall characteristics are provided in Table 15, while Fang et al. (1993) furnish mathematical definitions within the paradigm of GMCR.
In the landmark treatise Foundations of Economic Analysis (1947), Paul Samuelson identified a common paradigm and mathematical structure across multiple fields in the subject, building on previous work by Alfred Marshall.
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