Results 61 to 70 of about 1,931 (288)
Matrices, idealisers and integer quaternions
Journal of Algebra, 1992 Let \(H\) be the ring of quaternions with integer coefficients and let \(n\) be an integer. Set \(T(n) = \left({H\atop H} {nH\atop H}\right)\). The following test problem was posed by the author [in Math. Proc. Camb. Philos. Soc. 105, No. 1, 67--72 (1989; Zbl 0668.16011)]. Is \(T(3)\) isomorphic to a full \((2,2)\)-matrix ring over some ring \(W\), and
openaire +1 more source
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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Some Results On Quaternion 3-Space
Cumhuriyet Science Journal, 2018 In this paper, the set J′=H(Q₄,Jγ) of 4 by 4 matrices, withentries in a quaternion F-algebra Q, that are symmetric with respect to thecanonical involution Jγ is studied.
Atilla Akpınar, Fatma Özen Erdoğan
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W-MPD–N-DMP-solutions of constrained quaternion matrix equations
Special Matrices, 2023 The solvability of several new constrained quaternion matrix equations is investigated, and their unique solutions are presented in terms of the weighted MPD inverse and weighted DMP inverse of suitable matrices.
Kyrchei Ivan I. +2 more
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An Efficient LiDAR Point Cloud Map Coding Scheme Based on Segmentation and Frame-Inserting Network
Sensors, 2022 In this article, we present an efficient coding scheme for LiDAR point cloud maps. As a point cloud map consists of numerous single scans spliced together, by recording the time stamp and quaternion matrix of each scan during map building, we cast the ...
Qiang Wang +5 more
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FEBS Letters, EarlyView.The process of internalization of the Shiga toxin A subunit via formation of a complex with the Shiga toxin B subunit, which specifically binds to the Gb3 receptor. The peptide is designed to act as a carrier of drugs into cancer cells. Here, we explored the potential of peptides derived from the catalytic A subunit of Shiga toxin (STxA) to be drug ...
Giulia Opassi +6 more
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The role of miR‐335‐5p in the redifferentiation of BRAF p.V600E thyroid cancers
Molecular Oncology, EarlyView.The BRAF p.V600E mutation promotes thyroid cancer dedifferentiation and radioiodine resistance. Using a network approach, we identified miR‐335‐5p as a key regulator of BRAF‐mutated thyroid tumors. Restoring miR‐335‐5p increased thyroid‐specific gene expression and iodine uptake in cells and organoids.
Valeria Pecce +11 more
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Molecular Oncology, EarlyView.Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
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On j-conjugate product of quaternion polynomial matrices [PDF]
, 2013 In this paper, the concept of j-conjugate product over quaternion polynomial matrices is proposed. Further, some interesting properties of the proposed j-conjugate products are derived. By means of j-conjugate product, necessary and sufficient conditions
Wu, Ai-Guo +3 more
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A Fast Projected Gradient Algorithm for Quaternion Hermitian Eigenvalue Problems
MathematicsIn this paper, based on the novel generalized Hamilton-real (GHR) calculus, we propose for the first time a quaternion Nesterov accelerated projected gradient algorithm for computing the dominant eigenvalue and eigenvector of quaternion Hermitian ...
Shan-Qi Duan, Qing-Wen Wang
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