Results 11 to 20 of about 6,762,809 (278)
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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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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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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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 the Supersingular Reduction of K3 Surfaces with Complex Multiplication [PDF]
International mathematics research notices, 2017 We study the good reduction modulo $p$ of $K3$ surfaces with complex multiplication. If a $K3$ surface with complex multiplication has good reduction, we calculate the Picard number and the height of the formal Brauer group of the reduction.
Kazuhiro Ito
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Point counting on K3 surfaces and an application concerning real and complex multiplication [PDF]
LMS J. Comput. Math., 2016 We report on our project to find explicit examples of $K3$ surfaces having real or complex multiplication. Our strategy is to search through the arithmetic consequences of RM and CM.
A. Elsenhans, J. Jahnel
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BREUIL–KISIN–FARGUES MODULES WITH COMPLEX MULTIPLICATION [PDF]
Journal of the Institute of Mathematics of Jussieu, 2017 We prove that the category of (rigidified) Breuil–Kisin–Fargues modules up to isogeny is Tannakian. We then introduce and classify Breuil–Kisin–Fargues modules with complex multiplication mimicking the classical theory for rational Hodge structures.
Johannes Anschütz
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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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Scalable set of reversible parity gates for integer factorization
Communications Physics, 2023 Classical microprocessors operate on irreversible gates, that, when combined with AND, half-adder and full-adder operations, execute complex tasks such as multiplication of integers.
Martin Lanthaler +2 more
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