Results 61 to 70 of about 4,625 (266)
MathematicsIn this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
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Visualizing Quaternion Multiplication
IEEE Access, 2017 Quaternion rotation is a powerful tool for rotating vectors in 3-D; as a result, it has been used in various engineering fields, such as navigations, robotics, and computer graphics. However, understanding it geometrically remains challenging, because it
Jongchan Baek +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric bone sarcoma patients and survivors may experience psychosocial challenges related to childhood cancer after their intensive, body‐altering treatment. This cross‐sectional study aimed to evaluate generic and survivor‐specific psychosocial outcomes in a national cohort of pediatric bone sarcoma patients and survivors, and ...
Hinke van der Hoek +14 more
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Instantons and quaternions [PDF]
Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000 We relate the moduli space of Yang-Mills instantons to quaternionic manifolds. For instanton number one, the Wolf spaces play an important role. We apply these ideas to instanton calculations in N=4 SYM theory.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Adolescents with haematological malignancies face significant emotional and relational challenges, often accompanied by difficulties in communicating their needs within the healthcare context. To address these issues, a narrative‐based psycho‐educational intervention based on the creation and prescription of Ironic Medications was ...
Marta Stoppa +7 more
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A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach
Results in Control and OptimizationThis paper presents a novel technique for visualizing quaternion Julia and Mandelbrot sets of a quaternion-valued polynomial mapping T(q)=qn+mq+c, where q is a quaternion variable, n∈N∖{1}, and m,c are quaternion parameters, by employing the viscosity ...
Nabaraj Adhikari, Wutiphol Sintunavarat
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Quaternions and the “Ausdehnungslehre” [PDF]
Nature, 1891 THE year 1844 is memorable in the annals of mathematics on account of the first appearance on the printed page of Hamilton's “Quaternions” and Grassmann's “Ausdehnungslehre.” The former appeared in the July, October, and supplementary numbers of the Philosophical Magazine, after a previous communication to the Royal Irish Academy, November 13, 1843 ...
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Quaternionic reduction and quaternionic orbifolds
Mathematische Annalen, 1988 An analogue of the process of symplectic reduction is defined for quaternionic Kähler manifolds. Certain features of the process are explored. In each dimension 4n, \(n>1\), the construction yields an infinite family of compact, simply-connected Riemannian orbifolds which have \(Sp_ 1Sp_ n\) holonomy and are not locally symmetric.
Galicki, K., Lawson, H.B. Jr.
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Re‐Irradiation in Pediatric Diffuse Midline Glioma: A Multi‐Institutional Retrospective Study
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Children with recurrent diffuse midline gliomas (DMGs) have limited therapeutic options at recurrence. Re‐irradiation (RT2) may be used at progression, but with uncertainty about the benefit. Methods We conducted a multi‐institutional retrospective study of children aged < 18 with DMG treated at three centers (Toronto, Canada ...
Ajay Thomas Alex +13 more
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