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Symmetrical group theory for mathematical complexity reduction of digital holograms
Optical Review, 2017This work presents the use of mathematical group theory through an algorithm to reduce the multiplicative computational complexity in the process of creating digital holograms. An object is considered as a set of point sources using mathematical symmetry properties of both the core in the Fresnel integral and the image, where the image is modeled using
A. Perez-Ramirez +5 more
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A group theory of group theory: Collaborative mathematics and the ‘uninvention’ of a 1000-page proof
Social Studies of Science, 2012Over a period of more than 30 years, more than 100 mathematicians worked on a project to classify mathematical objects known as finite simple groups. The Classification, when officially declared completed in 1981, ranged between 300 and 500 articles and ran somewhere between 5,000 and 10,000 journal pages. Mathematicians have hailed the project as one
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Renormalization Theory and Group in Mathematical Physics
1988A description of how to define in a mathematically rigorous way the beta function, well known from the nonrigorous perturbative formulation of quantum field theory. The definition is based on a kind of effective potentials, for which a "tree expansion'' is proposed. It is also described how to use such a beta function in order to rigorously construct a
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MATHEMATICAL WORKS I: GROUP THEORY
Bulletin of the London Mathematical Society, 1996openaire +1 more source
Theme Group 4: Theory, Research and Practice in Mathematical Education
1986Theory, research, and practice belong together, but the separation of professional roles of teacher and researcher produces a tendency to separate development. The discussion focussed on those ways in which research activity, whether performed by professional researchers or not, interacts with teachers’ approaches and practices.
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CONTRIBUTIONS TO GROUP THEORY (Contemporary Mathematics, 33)
Bulletin of the London Mathematical Society, 1985openaire +1 more source
A new era of cancer immunotherapy: converting theory to performance
Ca-A Cancer Journal for Clinicians, 1999Steven A Rosenberg
exaly