Titlebook: Empowering Novel Geometric Algebra for Graphics and Engineering; 7th International Wo Eckhard Hitzer,George Papagiannakis,Petr Vasik Confer

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Conference proceedings 2023me were carefully reviewed and selected from 12 submissions. The workshop focused specifically on important aspects of geometric algebra including algebraic foundations, digitized transformations, orientation, conic fitting, protein modelling, digital twinning, and multidimensional signal processing..

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Using a Graph Transformer Network to Predict 3D Coordinates of Proteins via Geometric Algebra Modellaid the prediction of the 3D coordinates of a protein. Adding this GA-based orientational information improves the accuracy of the predicted coordinates even after few learning iterations and on a small dataset.

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0302-9743 luding algebraic foundations, digitized transformations, orientation, conic fitting, protein modelling, digital twinning, and multidimensional signal processing..978-3-031-30922-9978-3-031-30923-6Series ISSN 0302-9743 Series E-ISSN 1611-3349

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https://doi.org/10.1007/978-3-031-30923-6Computer Science; Informatics; Conference Proceedings; Research; Applications

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The Supergeometric Algebra: The Square Root of the Geometric AlgebraThis paper gives a pedagogical account of the Supergeometric Algebra (SGA), the square root of the Geometric Algebra (GA). The fact that a spinor can be treated as a bitcode is emphasized.

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Explicit Descriptions of the Solution Sets,eometric algebra .. The formulas are based on the analysis of roots of the characteristic polynomial of a multivector exponent. Elaborate examples how to use the formulas in practice are presented. The results may be useful in theory of quantum circuits or in the problems of analysis of evolution of the entangled quantum states.

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Der anthropocentrische Standpunkt,ralization of Beurling’s uncertainty principle for octonion-valued signals and on ., and therefore extends three uncertainty principles (UP), namely Hardy’s UP, Gelfand–Shilov’s UP, and Cowling–Price’s UP, to the OFT domain.