Results 11 to 20 of about 433,386 (304)
Multiplicities of Noetherian deformations [PDF]
The \emph{Noetherian class} is a wide class of functions defined in terms of polynomial partial differential equations. It includes functions appearing naturally in various branches of mathematics (exponential, elliptic, modular, etc.).
Binyamini, Gal, Novikov, Dmitry
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Differential Geometry of Microlinear Frolicher Spaces IV-1 [PDF]
The central object of synthetic differential geometry is microlinear spaces. In our previous paper [Microlinearity in Frolicher spaces -beyond the regnant philosophy of manifolds-, International Journal of Pure and Applied Mathematics, 60 (2010), 15-24 ...
H. Nishimura
semanticscholar +1 more source
Symbolic Toolboxes For Differential Geometry and Mathematical Physics
The DifferentialGeometry (DG) software provides advanced mathematical functionalities for research and teaching in the areas of differential geometry, Lie theory, general relativity, and geometric methods for differential equations. The current project will provide additional infrastructure for symbolic computing in differential geometry and its ...
IAN ANDERSON, Torre, Charles
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Arcs, Cords and Felts - Six instances of the Linearization Principle
It is shown how a selection of prominent results in singularity theory and differential geometry can be deduced from one theorem, the Rank Theorem for maps between spaces of power series.Comment: to be published in "The American Journal of ...
Bruschek, Clemens, Hauser, Herwig
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Geometry and Physics of Null Infinity
In asymptotically Minkowski space-times, one finds a surprisingly rich interplay between geometry and physics in both the classical and quantum regimes. On the mathematical side it involves null geometry, infinite dimensional groups, symplectic geometry ...
Ashtekar, Abhay
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Linear algebra and differential geometry on abstract Hilbert space [PDF]
Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n-dimensional vector spaces. However, while n-dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as ...
A. Kryukov
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A Case‐Based Reasoning Approach to Model Manufacturing Constraints for Impact Extrusion
A hybrid modeling approach is presented that combines constraint‐based process modeling and case‐based reasoning. The model formalizes manufacturing constraints and integrates simulation data to model complex manufacturing processes. The approach supports manufacturability analysis during product design through an adaptive modeling environment.
Kevin Herrmann+5 more
wiley +1 more source
Pao-Lu Hsu (Xu, Bao-lu): The Grandparent of Probability and Statistics in China
The years 1910-1911 are auspicious years in Chinese mathematics with the births of Pao-Lu Hsu, Luo-Keng Hua and Shiing-Shen Chern. These three began the development of modern mathematics in China: Hsu in probability and statistics, Hua in number theory ...
Chen, Dayue, Olkin, Ingram
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Simulation of Inhomogeneous Refractive Index Fields Induced by Hot Tailored Forming Components
This article presents a simulation model for simulating inhomogeneous refractive index fields (IRIF) in hot‐forged components, accounting for thermal influences and complex geometries. Through this simulation, a priori knowledge about the propagation of the IRIF can be obtained, allowing for the positioning of the component or an optical measurement ...
Pascal Kern+3 more
wiley +1 more source
Supersymmetric Oscillator: Novel Symmetries
We discuss various continuous and discrete symmetries of the supersymmetric simple harmonic oscillator (SHO) in one (0 + 1)-dimension of spacetime and show their relevance in the context of mathematics of differential geometry. We show the existence of a
Dirac P. A. M.+7 more
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