Results 21 to 30 of about 712,298 (331)
Computational Geometric and Algebraic Topology [PDF]
, 2015 Computational topology is a young, emerging field of mathematics that seeks out practical algorithmic methods for solving complex and fundamental problems in geometry and topology.
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Symbolic Toolboxes For Differential Geometry and Mathematical Physics
, 2017 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
openaire +1 more source
Mathematical Algorithms for the Texture and Lighting of 3D Surfaces in a Computer [PDF]
, 2018 At present, the generation of 3D objects by computer has become a fundamental tool for the development of most sciences. Modeling a three-dimensional surface on a computer whose display is a two-dimensional graphic screen presents some challenges such as
Salazar, N, Tinajero, J, Álvarez, A
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Do the Angles of a Triangle Add up to 180°? -- Introducing Non-Euclidean Geometry [PDF]
arXiv, 2021 How can we convince students, who have mainly learned to follow given mathematical rules, that mathematics can also be fascinating, creative, and beautiful? In this paper I discuss different ways of introducing non-Euclidean geometry to students and the general public using different physical models, including chalksphere, crocheted hyperbolic surfaces,
arxiv
, 2016 Singularity theory is a central part of contemporary mathematics. It is concerned with the local and global structure of maps and spaces that occur in algebraic, analytic or differential geometric context.
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Non-commutative Geometry, Index Theory and Mathematical Physics [PDF]
, 2018 Non-commutative geometry today is a new but mature branch of mathematics shedding light on many other areas from number theory to operator algebras. In the 2018 meeting two of these connections were highlighted. For once, the applications to mathematical
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Evaluation of OPTOS wide‐field fundus image projections for radiotherapy planning of uveal melanoma
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose To investigate the relationship between the stereographic and azimuthal equidistant projection (AEP) of the human retina for radiotherapy planning with OPTOS optomap wide‐field fundus images (Optos, UK). Further, the geometric accuracy of an OPTOS fundus image is quantified.
Jörg Wulff +7 more
wiley +1 more source
Linear algebra and differential geometry on abstract Hilbert space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 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
semanticscholar +1 more source
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose This study evaluates the dosimetric and geometric precision of a virtual cone technique using CBCT‐based polymer gel dosimetry, enabling radiation delivery, and imaging readout within an identical spatial coordinate system. Methods We created a C# script for a virtual cone technique that generates a treatment plan with 10 gantry arcs ...
Tenzin Kunkyab +6 more
wiley +1 more source
Some problems in mathematics and mathematical physics [PDF]
arXiv, 2020 We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv