Philosophical questions relating to mathematical practice, the evolution of mathematical theories, and mathematical explanation and understanding have become more prominent, and have been related to more traditional questions from the philosophy of mathematics (Mancosu 2008).
Abad and Garcia [2004, Conceptual and mathematical model for evolution of meandering rivers in naturalization processes.
On CD-ROM of Proceedings of Joint Conference on Water Resources Engineering and Water Resources Planning and Management, ASCE, June 27 July 1, Salt Lake City, Utah, 10pp.] presented a conceptual and mathematical model for evolution of meandering rivers that can be used in restoration and naturalization processes.
The polynomial models enabled us not only to statistically confirm the effects of the PECVD parameters displayed by previous classical experimental studies, but also to model, in the mathematical sense, the evolution of each property of materials taking into account the first and second orders effects of both PECVD synthesis parameters.
I think theoretical work that shows the possibility of long-time persistence of genes acquired via HGT, even in the absence of measurable selective advantage is relevant here: Novozhilov et al. Mathematical modeling of evolution of horizontally transferred genes.
(1) This consistent and predictable pattern of BNP and NT proBNP release following CPB enables us to conceive a mathematical model of evolution of BNP and NT proBNP after uncomplicated cardiac surgery.
The developed approach is oriented at a mathematical description of evolution of domain composition of proteomes, but a simple reformulation could be applied to models of other evolving networks with preferential attachment.
The following discussion of the evolution of mathematical subjects within the Chinese tradition emphasizes several common characteristics: an interest in general algorithms and the importance given to "position" (a place-value notation involving rods or counters), a specific part devoted to configurations of numbers, and the parallelisms between procedures.
In finance, the Vasicek model is a mathematical model describing the evolution of interest rates.
This paper introduces a data-driven methodology to study the historical evolution of mathematical thinking and its spatial spreading.
