Mathematical and Physical Papers

Physical and Mathematical Modeling in Experimental Papers

An increasing number of publications include modeling. Often, such studies help us to gain a deeper insight into the phenomena studied and break down barriers between experimental and theoretical communities. However, combining experimental and theoretical work is challenging for authors, reviewers, and readers. To help maximize the usefulness and impact of combined theoretical and experimental...

Physical and mathematical modeling in experimental papers: achieving robustness of mathematical modeling studies

Development of several alternative mathematical models for the biological system in question and discrimination between such models using experimental data is the best way to robust conclusions. Models which challenge existing theories are more valuable than models which support such theories. Mathematical modeling has been especially strong in physical sciences where theories, based on basic p...

Sylvester ' S Mathematical Papers

Mathematical Aspects and Physical

We review the problem of the tuneshift correction of symplectic maps and its applications to accelerator physics. The normal form techniques used to compute the correcting terms are outlined both in two and four dimensional phase space. A theorem which gives an upper bound to the growth of the coeecients of the correcting map is proved. Two ways of correcting the tuneshift are discussed: a comp...

Mathematical Concepts and Physical Objects

Introduction (with F. Bailly) With this text, we will first of all discuss a distinction, internal to mathematics, between "construction principles" and "proof principles" (see [Longo, 1999], [Longo, 2002]). In short, it will be a question of grasping the difference between the construction of mathematical concepts and structures and the role of proof, more or less formalised. The objective is ...