Results 71 to 80 of about 2,417 (266)
Expository and recreational. Full color version of a forthcoming Monthly article.
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Instantons and quaternions [PDF]
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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ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier +11 more
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Quaternionic reduction and quaternionic orbifolds
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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The Role of Chemotherapy in Pediatric Myoepithelial Carcinoma: A Systematic Review of the Literature
ABSTRACT Myoepithelial carcinoma (MEC) in pediatric patients is a rare and aggressive malignancy characterized by heterogeneous morphology and variable molecular features. The optimal role of chemotherapy remains unclear. We conducted a systematic review according to PRISMA 2020 guidelines to evaluate chemotherapy in pediatric and young‐adult patients ...
Marco Salvi +7 more
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QUATÉRNIONS E AS ROTAÇÕES NO ESPAÇO
The Quaternions were created in 1843 by W. R. Hamilton and its use, although not much publicized, it is not new. Basically, quaternions can be seen as an algebraic extension of complex numbers, in which it has three imaginary components instead of one,
Amanda Santos Silva +2 more
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Determining Parental Factors for Clinical Trial Attrition in Pediatric Acute Lymphoblastic Leukemia
ABSTRACT Background/Objectives Despite high enrollment rates on Children's Oncology Group (COG) protocols, attrition after initial consent is challenging, introducing bias and prolonging trial completion. While adult oncology literature has identified predictors of withdrawal, little is known about caregiver decision‐making for child participation in ...
Kimberly L. Stathas +3 more
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DOA Estimation of Noncircular Signals Using Quaternions
The two-dimensional (2D) direction-of-arrival (DOA) estimation problem for noncircular signals using quaternions is considered in this paper. In the framework of quaternions, we reconstruct the conjugate augmented output vector which reduces the ...
Tianzhen Meng, Minjie Wu, Naichang Yuan
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THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS
This paper provides differential operators in dual quaternions and represents the regularity of dual quaternionvalued functions using the dual Cauchy - Riemann system in dual quaternions.
Kim J.E.
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“The Elements of Quaternions” [PDF]
IN answer to my reviewer's question (vide p. 154), I must frankly admit that (a) Eq. 8, p. 40, should have been a group of six equations, , , c and that (b) The inference should have been that i, j, &c, are (unequal) square roots of negative unity.
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