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Springer Nature Switzerland AG 2019开始发作 发表于 2025-3-27 06:41:57
Vector Product with Applications in Geometrical MechanicsHow to use vectors and matrices? Well, we’ve already seen a few important applications: the sine, cosine, and Fourier transforms. Here, on the other hand, we use matrices and their determinant to introduce yet another practical operation: vector product in 3-D.疏忽 发表于 2025-3-27 13:23:01
Special Relativity: Algebraic Point of ViewTo model static shapes in the plane, the ancient Greeks introduced Euclidean geometry. To model motion, on the other hand, Newton added a new time axis, perpendicular to the plane. This may help model a force, applied to an object from the outside to accelerate its original motion.去世 发表于 2025-3-27 15:50:09
Group Representation and Isomorphism TheoremsWhat is the most elementary algebraic object? This could be the individual number. In the previous part, we also introduced more complicated algebraic structures: vectors and matrices.芭蕾舞女演员 发表于 2025-3-27 18:08:08
Projective Geometry with Applications in Computer GraphicsWhat is a geometrical object?It is something that we humans could imagine and visualize. Still, in Euclidean geometry, a geometrical object is never defined explicitly, but only implicitly, in terms of relations, axioms, and logic ( and Chap. 6 in ).人类的发源 发表于 2025-3-28 00:46:51
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Automatic Mesh GenerationConsider a complicated domain in three spatial dimensions. How to store it on the computer? For this purpose, it must be discretized: approximated by a discrete mesh, ready to be used in practical algorithms.