1,720,977 research outputs found
Mathematics and Physics: an interdisciplinary approach
No full textThe relationships between mathematics and physics are analyse
The Role of Mathematics in Physical Sciences And Dirac's Methodological Revolution
No full textIn our paper, avoiding any strong metaphysical commitment on the world, we face the topic of the interplay between mathematics and physics by starting from a semiotic approach. It will be shown that it allows us to insert in a unitary and coherent framework answers to questions such as: Why mathematics is physics? What is the role of mathematics in physics? Why is mathematics effective in physical sciences? In the second part of the paper, and by utilizing what discussed in the first one, we analyse what we call Dirac’s methodological revolution, according to which to do good and new physics we must first work on good and promising mathematics. Finally, we exemplify Dirac’s methodological revolution by recalling the role of the mathematical theory of simple spinors in constructing new perspectives for theoretical physics
A Spinorial Formulation of the Maximum Clique Problem of a Graph
No full textWe present a new formulation of the maximum clique problem of a graph in complex space. We start observing that the adjacency matrix A of a graph can always be written in the form A=B^2 where B is a complex, symmetric matrix formed by vectors of zero length (null vectors) and the maximum clique problem can be transformed in a geometrical problem for these vectors. This problem, in turn, is translated in spinorial language and we show that each graph uniquely identifies a set of pure spinors, that is vectors of the endomorphism space of Clifford algebras, and the maximum clique problem is formalized in this setting so that, this much studied problem, may take advantage from recent progresses of pure spinor geometry
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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