Results 31 to 40 of about 751,757 (240)
4d higgsed network calculus and elliptic DIM algebra
Nuclear Physics B, 2022 Supersymmetric gauge theories of certain class possess a large hidden nonperturbative symmetry described by the Ding-Iohara-Miki (DIM) algebra which can be used to compute their partition functions and correlators very efficiently.
Mohamed Ghoneim +3 more
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, 2014 In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid +3 more
core +1 more source
A Geometric Algebra Co-Processor for Color Edge Detection
, 2015 This paper describes advancement in color edge detection, using a dedicated Geometric Algebra (GA) co-processor implemented on an Application Specific Integrated Circuit (ASIC).
Wilcock, Reuben +5 more
core +1 more source
Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra
MathematicsThe Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA), in addition to other classical algebras.
Ahmad Hosny Eid, Francisco G. Montoya
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Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics
Mathematics, 2015 A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
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Organic Materials of Tomorrow: Horizons of Artificial Intelligence
Advanced Materials, EarlyView.This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena +3 more
wiley +1 more source
Geometric Algebra Quantum Gate Decomposition
AxiomsQuantum gates are traditionally described using matrix and tensor-product formalisms, representations that provide limited geometric intuition. In this work, we develop a formulation of the Pauli and Clifford groups within the complex Geometric Algebra ...
Youssef Amraoui, Zeno Toffano
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Geometric Algebra Techniques in Flux Compactifications
Advances in High Energy Physics, 2016 We study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating ...
Calin Iuliu Lazaroiu +2 more
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Artificial Intelligence Meets Micro/Nanorobotics
Advanced Materials, EarlyView.Artificial intelligence is transforming micro‐ and nanorobots from externally controlled, task‐specific machines into adaptive, autonomous systems. Machine learning, multimodal perception, digital twins, AI‐guided materials and geometry design enhance propulsion, localization, decision‐making, whichaccelerates clinical and environmental applications ...
Fatma M. Yurtsever +6 more
wiley +1 more source
Geometric algebra approach to analyzing the singularity of six-DOF parallel mechanism
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2019 Singular configurations must be avoided in the practical manipulation of parallel mechanism. This paper presents an approach of singularities analysis of six degrees of freedom (DOF) parallel mechanism applying geometric algebra.
Shili CHENG, Ping JI
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