Results 51 to 60 of about 8,275 (244)
Solution to Several Split Quaternion Matrix Equations
MathematicsSplit quaternions have various applications in mathematics, computer graphics, robotics, physics, and so on. In this paper, two useful, real representations of a split quaternion matrix are proposed. Based on this, we derive their fundamental properties.
Xin Liu, Tong Shi, Yang Zhang
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Clifford Fourier-Mellin transform with two real square roots of -1 in Cl(p,q), p+q=2
, 2012 We describe a non-commutative generalization of the complex Fourier-Mellin transform to Clifford algebra valued signal functions over the domain $\R^{p,q}$ taking values in Cl(p,q), p+q=2.
Hitzer, Eckhard
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Pediatric central nervous system (CNS) tumors often recur despite multimodality therapy. Although re‐irradiation (re‐RT) has historically been limited by concerns for severe late toxicities, modern techniques have renewed interest in this approach. Proton therapy provides dosimetric advantages that may enable curative re‐treatment with
Jin‐Ho Song +15 more
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A Survey on Solving the Matrix Equation AXB = C with Applications
MathematicsThis survey provides a comprehensive overview of the solutions to the matrix equation AXB=C over real numbers, complex numbers, quaternions, dual quaternions, dual split quaternions, and dual generalized commutative quaternions, including various special
Qing-Wen Wang, Lv-Ming Xie, Zi-Han Gao
doaj +1 more source
, 2004 We extend vector formalism by including it in the algebra of split octonions, which we treat as the universal algebra to describe physical signals. The new geometrical interpretation of the products of octonionic basis units is presented.
Gogberashvili, Merab
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Defining Roles in Pediatric Palliative Care: Perspectives From Oncology and Palliative Care Teams
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Early integration of pediatric palliative care (PPC) is associated with improved symptom management, quality of life, and healthcare utilization for children with cancer. Despite this, variation persists in how PPC is understood, operationalized, and integrated within pediatric oncology programs. In particular, ambiguity surrounding
Leeat Granek +13 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Survivors of childhood acute lymphoblastic leukemia (ALL) often exhibit early deficits in muscle and movement competence, which can compromise long‐term health. Integrative neuromuscular training (INT), a multifaceted approach combining fundamental movement activities with strength exercises, may help address these deficits during ...
Anna Maria Markarian +7 more
wiley +1 more source
An Introduction to Newly Defined Quaternions: Split-like Quaternions
Azerbaijan Journal of MathematicsSummary: In this paper, we define split-like quaternions such that \(p = p_0 + p_1 i + p_2 j + p_3 k\), where \(i^2 = j^2 = -1, k^2 = 1\) and \(p_0, p_1, p_2, p_3 \in \mathbb{R}\). It is the purpose of this paper to describe a new non-commutative and non-associative quaternion algebra which is isomorphic to the four-dimensional Lorentz space \(\mathbb ...
Aykut, Hamide Feyza +3 more
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Symmetry breaking by bi-fundamentals
, 2018 We derive all possible symmetry breaking patterns for all possible Higgs fields that can occur in intersecting brane models: bi-fundamentals and rank-2 tensors.
Schellekens, A. N.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT In pediatric patients, T‐cell lymphoblastic lymphoma (T‐LBL) survival exceeds 80%. Relapse remains associated with limited curative options. Frontline treatment is largely extrapolated from T‐cell acute lymphoblastic leukemia (T‐ALL) treatment, reflecting the ongoing debate, whether both entities represent distinct diseases or variants within ...
Marie C. Heider +4 more
wiley +1 more source