Results 91 to 100 of about 35,567 (199)
Geometry from integrability: multi-leg fishnet integrals in two dimensions
Journal of High Energy PhysicsWe generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture that fishnet Feynman integrals in two dimensions, together with their ...
Claude Duhr +4 more
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Zhejiang Daxue xuebao. Lixue ban, 2017 根据几何代数在地理空间对象建模和多维数据分析应用的特点，研究了共形几何代数交/并(meet/join)算子的含义、构建和应用.利用几何代数多维统一、高维计算适应的优势，设计了基于几何代数meet算子和有向半空间划分理论的时空宗地meet算法.从三维地籍和时空数据建模出发，在共形几何代数和时空代数范畴中，给出了三维、四维时空宗地的定义和表达.同时，以宗地数据的拓扑计算为例，将该算法运用于三维时空宗地拓扑计算场景——历史回溯中，取得了良好的效果.该算法的理念同样适用于四维时空宗地的历史回溯meet求解.
WANGQiaoyan(王巧燕) +4 more
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A Recipe for Symbolic Geometric Computing: Long Geometric Product, BREEFS and Clifford Factorization
, 2006 In symbolic computing, a major bottleneck is middle expression swell. Symbolic geometric computing based on invariant algebras can alleviate this difficulty.
Li, Hongbo
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Kinematic Analysis of Industrial Robots Based on Conformal Geometric Algebra
Jixie chuandongIn order to solve the problem of high complexity and large amount of computation for kinematics of industrial robots, conformal geometric algebra (CGA) is introduced to the construction of kinematics model of industrial robots.
Yu Yang +4 more
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Geometric operations implemented by conformal geometric algebra neural nodes
, 2013 Geometric algebra is an optimal frame work for calculating with vectors. The geometric algebra of a space includes elements that represent all the its subspaces (lines, planes, volumes, ...). Conformal geometric algebra expands this approach to elementary representations of arbitrary points, point pairs, lines, circles, planes and spheres.
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Lie Symmetries of the Wave Equation on the Sphere Using Geometry
DynamicsA semilinear quadratic equation of the form Aij(x)uij=Bi(x,u)ui+F(x,u) defines a metric Aij; therefore, it is possible to relate the Lie point symmetries of the equation with the symmetries of this metric. The Lie symmetry conditions break into two sets:
Michael Tsamparlis +1 more
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Generalized Cross-Curvature Solitons of 3D Lorentzian Lie Groups
AxiomsWe investigate left-invariant generalized cross-curvature solitons on simply connected three-dimensional Lorentzian Lie groups. Working with the assumption that the contravariant tensor Pij (defined from the Ricci tensor and scalar curvature) is ...
Mehdi Jafari
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Bulk reconstruction from generalized free fields
Journal of High Energy PhysicsWe propose a generalized protocol for constructing a dual free bulk theory from any boundary model of generalized free fields (GFFs). To construct the bulk operators, we employ a linear ansatz similar to the Hamilton-Kabat-Liftschytz-Lowe (HKLL ...
Tamra Nebabu, Xiao-Liang Qi
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Evaluating a Semiautonomous Brain-Computer Interface Based on Conformal Geometric Algebra and Artificial Vision. [PDF]
Comput Intell Neurosci, 2019 Ramírez-Moreno MA, Gutiérrez D.
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Conformal Mappings in Geometric Algebra
Notices of the American Mathematical Society, 2012 Barbara Reys, Robert Reys
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