橱柜 发表于 2025-3-21 19:01:47

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faultfinder 发表于 2025-3-21 23:04:14

2D, 3D, and 4D Geometric Algebrase Aragand’s achievement was an interpretation of . as a rotation by a right angle in the plane. Complex numbers received their name by Gauss and their formal definition as pair of real numbers was introduced by Hamilton in 1835.

皮萨 发表于 2025-3-22 04:11:39

Kinematics of the 2D and 3D Spacesng 3D and 4D geometric algebras, the classic model for the 3D motion of vectors. Finally, we compare both models, that is, the one using 3D Euclidean geometric algebra and our model, which uses 4D motor algebra.

Astigmatism 发表于 2025-3-22 05:47:23

The Geometric Algebras ,, ,, ,, es, and planes using vector calculus, . and . in Chap. 7 of [.]. Extending the degrees of freedom of the mathematical system, in the conformal geometric algebra ., using the horosphere framework points, one can model lines, planes, circles, and spheres and also certain Lie groups as a versors.

Assault 发表于 2025-3-22 10:13:44

Geometric Neural Computinghows that real-, complex-, and quaternion-valued neural networks are simply particular cases of geometric algebra multidimensional neural networks and that some can be generated using support multivector machines.

冒烟 发表于 2025-3-22 16:05:17

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冒烟 发表于 2025-3-22 19:14:23

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悲痛 发表于 2025-3-22 22:00:49

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Cardioplegia 发表于 2025-3-23 04:58:26

https://doi.org/10.1007/978-3-663-05492-4rts. The improvement in the classification rate of the neural network classifiers is very encouraging, which amply justifies the preprocessing in the quaternion frequency domain. This work also suggests the application of the quaternion Fourier transform for other image processing tasks.

步履蹒跚 发表于 2025-3-23 05:49:36

Applications of Quaternion Fourier and Wavelet Transforms, and Radon Transformrts. The improvement in the classification rate of the neural network classifiers is very encouraging, which amply justifies the preprocessing in the quaternion frequency domain. This work also suggests the application of the quaternion Fourier transform for other image processing tasks.
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