Results 71 to 80 of about 666,240 (259)
Quadratic Equation in Split Quaternions
Axioms, 2022 Split quaternions are noncommutative and contain nontrivial zero divisors. Generally speaking, it is difficult to solve equations in such an algebra. In this paper, by using the roots of any split quaternions and two real nonlinear systems, we derive ...
Wensheng Cao
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Space-time block codes from nonassociative division algebras
, 2011 Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully diverse $2\times 2$
Pumpluen, Susanne, Unger, Thomas
core +1 more source
Kinematic control based on dual quaternion algebra and its application to robot manipulators
, 2016 Title: Kinematic control based on dual quaternion algebra and its application to robot manipulators Author: Luis Felipe da Cruz Figueredo Supervisor: Prof. João Yoshiyuki Ishihara Co-Supervisor: Prof.
L. F. C. Figueredo
semanticscholar +1 more source
Free Subgroups of Quaternion Algebras [PDF]
Proceedings of the American Mathematical Society, 1993 Using the theory of group actions on trees, we shall prove that if a quaternion algebra over Laurant polynomials is not split then a certain congruence subgroup of the group of norm one elements is a free group. This generalizes and gives an easy, conceptually simpler proof than that given by Pollen for the field of real numbers.
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Synchronization of Analog Neuron Circuits With Digital Memristive Synapses: An Hybrid Approach
Advanced Electronic Materials, EarlyView.An hybrid circuit mimicking neural units coupled using memristive synapses is introduced. The analog neurons provide flexibility and robustness, and the digital memristive coupling guarantees the full reconfigurability of the interconnection. The onset of a synchronized spiking behavior in two circuits mimicking the Izhikevich neuron is discussed from ...
Lamberto Carnazza +3 more
wiley +1 more source
Fractional Quaternion Zernike Moments for Robust Color Image Copy-Move Forgery Detection
IEEE Access, 2018 In this paper, fractional Zernike moments (FrZMs) for complex signals are generalized to fractional quaternion Zernike moments (FrQZMs) for quaternion signal processing in a holistic manner by the quaternion algebra.
Beijing Chen +4 more
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Universal approach to derivation of quaternion rotation formulas [PDF]
MATEC Web of Conferences, 2019 This paper introduces and defines the quaternion with a brief insight into its properties and algebra. The main part of this paper is devoted to the derivation of basic equations of the vector rotation around each rotational x, y, z axis.
Chudá Hana
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Selectivity in quaternion algebras
Journal of Number Theory, 2012 We prove an integral version of the classical Albert-Brauer-Hasse-Noether theorem regarding quaternion algebras over number fields. Let $\mathfrak A$ be a quaternion algebra over a number field $K$ and assume that $\mathfrak A$ satisfies the Eichler condition; that is, there exists an archimedean prime of $K$ which does not ramify in $\mathfrak A$. Let
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Quaternion constituents of group algebras [PDF]
Proceedings of the American Mathematical Society, 1971 In this paper it is shown that each quaternion division algebra central over the rationals appears as a division ring constituent of some rational group algebra.
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SPICE‐Compatible Compact Modeling of Cuprate‐Based Memristors Across a Wide Temperature Range
Advanced Electronic Materials, EarlyView.A physics‐guided compact model for YBCO memristors is introduced, incorporating carrier trapping, field‐induced detrapping, and a differential balance equation to describe their switching dynamics. The model is compared with experiments and implemented in LTspice, allowing realistic circuit‐level simulations.
Thomas Günkel +6 more
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