Results 121 to 130 of about 77,287 (351)
Partial Differential Equations in Applied Mathematics, 2023 This paper is devoted to the study of the quaternion Laplace transform, which is a natural generalization of the classical Laplace transform using the quaternion algebra. We find that some of its properties such as derivative, convolution and correlation
Muhammad Afdal Bau +4 more
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On the quaternion projective space
Journal of Taibah University for Science, 2020 Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we
Y. Omar +4 more
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Molecular Oncology, EarlyView.Urine is a rich source of biomarkers for cancer detection. Tumor‐derived material is released into the bloodstream and transported to the urine. Urine can easily be collected from individuals, allowing non‐invasive cancer detection. This review discusses the rationale behind urine‐based cancer detection and its potential for cancer diagnostics ...
Birgit M. M. Wever +1 more
wiley +1 more source
A Convolution Theorem Related to Quaternion Linear Canonical Transform
Abstract and Applied Analysis, 2019 We introduce the two-dimensional quaternion linear canonical transform (QLCT), which is a generalization of the classical linear canonical transform (LCT) in quaternion algebra setting. Based on the definition of quaternion convolution in the QLCT domain
Mawardi Bahri, Ryuichi Ashino
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Quaternion normalization in spacecraft attitude determination [PDF]
Attitude determination of spacecraft usually utilizes vector measurements such as Sun, center of Earth, star, and magnetic field direction to update the quaternion which determines the spacecraft orientation with respect to some reference coordinates in ...
Bar-Itzhack, Itzhack Y. +2 more
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Nature, 1893 IN his recent letter (NATURE, August 17, p. 364), which is avowedly a reply to my paper (Proc. R.S.E., 1892-93) on “Recent Innovations in Vector Analysis,” Prof. Gibbs does not seem to me to discuss the real point at issue.
openaire +3 more sources
Subpar reporting of pre‐analytical variables in RNA‐focused blood plasma studies
Molecular Oncology, EarlyView.Pre‐analytical variables strongly influence the analysis of extracellular RNA (cell‐free RNA; exRNA) derived from blood plasma. Their reporting is essential to allow interpretation and replication of results. By evaluating 200 exRNA studies, we pinpoint a lack of reporting pre‐analytical variables associated with blood collection, plasma preparation ...
Céleste Van Der Schueren +16 more
wiley +1 more source
Proceedings of the Royal Society of Edinburgh, 1902 It is well known that quaternions are intimately connected with spherical trigonometry, and in fact they reduce that subject to a branch of algebra. The question is suggested whether there is not a system of quaternions complementary to that of Hamilton, which is capable of expressing trigonometry on the surface of the equilateral hyperboloids.
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Molecular Oncology, EarlyView.Cancer‐associated fibroblasts (CAFs) promote cancer growth, invasion (metastasis), and drug resistance. Here, we identified functional and diverse circulating CAFs (cCAFs) in patients with metastatic prostate cancer (mPCa). cCAFs were found in higher numbers and were functional and diverse in mPCa patients versus healthy individuals, suggesting their ...
Richell Booijink +6 more
wiley +1 more source
Examples and CounterexamplesIn this work, we first introduce the two-sided quaternion Fourier transform and demonstrate its essential properties. We generalize Titchmarsh’s-type theorem in the framework of the two-sided quaternion Fourier transform. Based on the interaction between
Mawardi Bahri
doaj