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As one of its pioneers commented, "String theory was too beautiful a mathematical structure to be completely irrelevant to nature".
Mr. Samuelson provided a mathematical structure to study the impact of trade on different groups of consumers and workers.
It was clear that the theory had the correct kind of mathematical structure to account for parity violation and related effects, but there were strong indications that, in describing particle interactions at higher energies than experiments could at the time access, the theory began to go badly wrong.
The orbifold framework will introduce sufficient mathematical structure to allow an extension of VQ to graph quantization in a theoretically sound way without discarding the relational information of the graphs.
We discuss these considerations toward developing a framework for the Optimization and Risk Analysis of Complex Living Entities (ORACLE) – a computational method that integrates available information into a mathematical structure to calculate control coefficients.
To give a concrete mathematical structure to the problem, recent work has utilized a Bayesian modeling framework based on an uncertainty class of feature-label distributions to both optimize and analyze error estimator performance.
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Modern technology provides multiple opportunities for applying mathematical structures to quantify system changes (Arthur & Nance 2007; Pead et al. 2007).
In Formal Methods we use mathematical structures to model real systems we want to build, or to reason about; in this paper we are concerned principally with game-based models.
The analysis is focused on the coupling of multicellular systems in biology to the molecular scale, while the final aim consists in designing mathematical structures to assist towards the derivation of models of complex living systems.
To reduce dimensionality, we must attempt to exploit mathematical structure particular to the biological problem at hand.
For learners to appreciate and understand mathematical topics and to have a meaningful experience of learning mathematics, it is necessary to create opportunities for them to make use of their powers to contact important mathematical structures and to become aware of dimensions and depth of the topic.
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