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Titlebook: Advanced Computational Applications of Geometric Algebra; ICACGA 2022, Denver, David William Honorio Araujo Da Silva,Dietmar Hild Conferenc

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發(fā)表于 2025-3-25 06:08:15 | 只看該作者
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發(fā)表于 2025-3-25 07:28:48 | 只看該作者
https://doi.org/10.1057/9781137301291provides a seamless framework for objects and their movement. We show how this universal treatment includes the actual physical motions of objects with mass under forces and torques. PGA unifies the linear and angular aspects compactly, and in a coordinate-free manner; inertia maps become simply add
23#
發(fā)表于 2025-3-25 15:27:02 | 只看該作者
https://doi.org/10.1007/978-3-030-45157-8 introduced and the inner product of two general oriented points is computed, analyzed (including symmetry) and graphed in terms of point to point distance, and angles between the distance vector and the local orientation planes of the two points. Seven examples illustrate the results obtained. Fina
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發(fā)表于 2025-3-25 19:20:27 | 只看該作者
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發(fā)表于 2025-3-25 20:03:13 | 只看該作者
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發(fā)表于 2025-3-26 04:12:27 | 只看該作者
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發(fā)表于 2025-3-26 08:03:26 | 只看該作者
https://doi.org/10.1007/978-981-19-7323-9, for example to align two 3D scans. This work presents ., a new formulation of a geometric algebra (GA) based algorithm that aims to solve this problem. While the algorithm itself is a gradient-descent-based approach, the implementation takes advantage of ., which had to be extended with a specific
28#
發(fā)表于 2025-3-26 08:56:34 | 只看該作者
Freedom and Facticity in the Classroom and utilizes simulation, machine learning, and reasoning to aid decision-making. However, the complexity of the real world and the urgent need for seamless integration between the physical and virtual spaces have posed challenges in the development and implementation of DT. This is primarily due to
29#
發(fā)表于 2025-3-26 14:02:10 | 只看該作者
https://doi.org/10.1007/978-981-19-7323-9n four dimensional Minkowski space, known as a spinor. This spinor representation is analogous to the . in conventional microwave network theory, but has a geometric interpretation. Just as the scattering transfer matrix is parameterized by scattering parameters, so is the spinor model constructed h
30#
發(fā)表于 2025-3-26 19:10:01 | 只看該作者
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