Results 31 to 40 of about 3,164,312 (366)
Spline Curves Formation Given Extreme Derivatives
Mathematics, 2020 This paper is dedicated to development of mathematical models for polynomial spline curve formation given extreme vector derivatives. This theoretical problem is raised in the view of a wide variety of theoretical and practical problems considering ...
Konstantin Panchuk +2 more
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, 1999 We analyse symmetry breaking in general gauge theories paying particular attention to the underlying geometry of the theory. In this context we find two natural metrics upon the vacuum manifold: a Euclidean metric associated with the scalar sector, and ...
Lepora, Nathan. F.
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The geometry of learning [PDF]
Journal of Mathematical Psychology, 2018 We establish a correspondence between Pavlovian conditioning processes and fractals. The association strength at a training trial corresponds to a point in a disconnected set at a given iteration level. In this way, one can represent a training process as a hopping on a fractal set, instead of the traditional learning curve as a function of the trial ...
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How Platonic and Archimedean solids define natural equilibria of forces for tensegrity [PDF]
FME Transactions, 2019 The Platonic and Archimedean solids are a well-known vehicle to describe certain phenomena of our surrounding world. It can be stated that they define natural equilibria of forces, which can be clarified particularly through the packing of spheres. [1][2]
Eichenauer Friedrich Martin +1 more
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Nicolai maps with four-fermion interactions
Journal of High Energy Physics, 2023 Nicolai maps offer an alternative description of supersymmetric theories via nonlinear and nonlocal transformations characterized by the so-called ‘free-action’ and ‘determinant-matching’ conditions.
Lorenzo Casarin +2 more
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Bulletin of the American Mathematical Society, 1993 We characterize the Zariski topologies over an algebraically closed field in terms of general dimension-theoretic properties. Some applications are given to complex manifold and to strongly minimal sets.
Hrushovski, E, Zilber, B
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Nonparametric Information Geometry [PDF]
, 2013 The differential-geometric structure of the set of positive densities on a given measure space has raised the interest of many mathematicians after the discovery by C.R. Rao of the geometric meaning of the Fisher information.
A. Ambrosetti +43 more
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Geometry in Transition: A Model of Emergent Geometry [PDF]
Physical Review Letters, 2008 We study a three matrix model with global SO(3) symmetry containing at most quartic powers of the matrices. We find an exotic line of discontinuous transitions with a jump in the entropy, characteristic of a 1st order transition, yet with divergent critical fluctuations and a divergent specific heat with critical exponent $ =1/2$.
Delgadillo-Blando, Rodrigo +2 more
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Geodesics on Calabi-Yau manifolds and winding states in nonlinear sigma models
Frontiers in Physics, 2013 We conjecture that a non-flat D-real-dimensional compact Calabi-Yau manifold, such as a quintic hypersurface with D=6, or a K3 manifold with D=4, has locally length minimizing closed geodesics, and that the number of these with length less than L grows ...
Peng eGao, Michael R. Douglas
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