Results 1 to 10 of about 498,616 (315)
The Cayley-Dickson Construction in ACL2 [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 The Cayley-Dickson Construction is a generalization of the familiar construction of the complex numbers from pairs of real numbers. The complex numbers can be viewed as two-dimensional vectors equipped with a multiplication. The construction can be used
John Cowles, Ruben Gamboa
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Complex Gaussian Multiplicative Chaos [PDF]
Communications in Mathematical Physics, 2015 66 pages, 5 figures, contains open problems and application in 2 dimensional string theory.
Hubert Lacoin +2 more
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Faster quantum subroutine for matrix chain multiplication via Chebyshev approximation [PDF]
Scientific ReportsMatrix operations are crucial to various computational tasks in various fields, and quantum computing offers a promising avenue to accelerate these operations. We present a quantum matrix multiplication (QMM) algorithm that employs amplitude encoding and
Xinying Li +5 more
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Class fields generated by coordinates of elliptic curves
Open Mathematics, 2022 Let KK be an imaginary quadratic field different from Q(−1){\mathbb{Q}}\left(\sqrt{-1}) and Q(−3){\mathbb{Q}}\left(\sqrt{-3}). For a nontrivial integral ideal m{\mathfrak{m}} of KK, let Km{K}_{{\mathfrak{m}}} be the ray class field modulo m{\mathfrak{m}}.
Jung Ho Yun, Koo Ja Kyung, Shin Dong Hwa
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Applied Sciences, 2023 Intelligence development has put forward increasing requirements of real-time planning and dynamic feedback in controlling robotic arms. It has become essential in engineering applications to complete the kinematics calculation of complex manipulators in
Jiyang Yu +4 more
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Level crossings, attractor points and complex multiplication
Journal of High Energy Physics, 2023 We study the complex structure moduli dependence of the scalar Laplacian eigenmodes for one-parameter families of Calabi-Yau n-folds in ℙ n+1. It was previously observed that some eigenmodes get lighter while others get heavier as a function of these ...
Hamza Ahmed, Fabian Ruehle
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Positive impact of sleep on recall of multiplication facts
Royal Society Open Science, 2023 This study tested the hypothesis that learning complex multiplication problems (e.g. 8 × 23 = 184) prior to sleep would benefit recall in adult participants compared with learning the problems prior to a period of wakefulness.
Jayne Spiller, Camilla Gilmore
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Investigating generalized quaternions with dual-generalized complex numbers [PDF]
Mathematica Bohemica, 2023 We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha$, $\beta$ and $\mathfrak{p}$.
Nurten Gürses +2 more
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Slip-free multiplication and complexity of dislocation networks in FCC metals
Materials Theory, 2021 During plastic deformation of crystalline solids, intricate networks of dislocation lines form and evolve. To capture dislocation density evolution, prominent theories of crystal plasticity assume that 1) multiplication is driven by slip in active slip ...
Sh. Akhondzadeh +3 more
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On some extensions of Gauss’ work and applications
Open Mathematics, 2020 Let K be an imaginary quadratic field of discriminant dK{d}_{K} with ring of integers OK{{\mathcal{O}}}_{K}, and let τK{\tau }_{K} be an element of the complex upper half plane so that OK=[τK,1]{{\mathcal{O}}}_{K}={[}{\tau }_{K},1].
Jung Ho Yun, Koo Ja Kyung, Shin Dong Hwa
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