Results 61 to 70 of about 56,344 (329)
Commutative Quaternion Matrices
, 2013 In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their Hamilton matrices.
Kösal, Hidayet Hüda, Tosun, Murat
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On the Approximation of Quaternions.
MATHEMATICA SCANDINAVICA, 1974 Asmus L. Schmidt
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Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
FEBS Letters, EarlyView.Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
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Roots of unity in definite quaternion orders
, 2014 A commutative order in a quaternion algebra is called selective if it is embeds into some, but not all, the maximal orders in the algebra. It is known that a given quadratic order over a number field can be selective in at most one indefinite quaternion ...
Arenas-Carmona, Luis
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Dual Quaternions and Dual Quaternion Vectors
Communications on Applied Mathematics and Computation, 2022 We introduce a total order and the absolute value function for dual numbers. The absolute value function of dual numbers are with dual number values, and have properties similar to the properties of the absolute value function of real numbers. We define the magnitude of a dual quaternion, as a dual number.
Liqun Qi, Chen Ling, Hong Yan
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FEBS Letters, EarlyView.C‐mannosylation is a unique form of protein glycosylation. In this study, we demonstrated that ADAMTS1 is C‐mannosylated at Trp562 and Trp565 in human testicular germ cell tumor NEC8 cells. We found that C‐mannosylation of ADAMTS1 is essential for its secretion, processing, enzymatic activity, and ability to promote vasculogenic mimicry. These findings
Takato Kobayashi +5 more
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Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry
Beni-Suef University Journal of Basic and Applied Sciences, 2022 Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
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Applied Sciences, 2023 Kinematic modeling is essential for planning and controlling continuum robot motion. The traditional Denavit Hartenberg (DH) model involves complex matrix multiplication operations, resulting in computationally intensive inverse solutions and trajectory ...
Yunfei Li, Qiuhao Wang, Qian Liu
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, 2018 Recent developments in quaternion-valued widely linear processing have established that the exploitation of complete second-order statistics requires consideration of both the standard covariance and the three complementary covariance matrices.
Enshaeifar, Shirin +6 more
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FEBS Letters, EarlyView.The Arabidopsis mutants hls1 hlh1 and amp1 lamp1 exhibit pleiotropic developmental phenotypes. Although the functions of the causative genes remain unclear, they act in the same genetic pathway and are thought to generate non‐cell‐autonomous signals.
Takashi Nobusawa, Makoto Kusaba
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