Results 41 to 50 of about 42,052 (333)

On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions

مجلة بغداد للعلوم, 2023
In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.
B. Malini Devi, S. Devibala
doaj   +1 more source

Commutative Quaternion Matrices

, 2013
In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their Hamilton matrices.
Kösal, Hidayet Hüda, Tosun, Murat
core   +1 more source

Quaterionic Construction of the W(F_4) Polytopes with Their Dual Polytopes and Branching under the Subgroups B(B_4) and W(B_3)*W(A_1)

, 2012
4-dimensional $F_{4} $ polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group $W(F_{4})$ where the group elements and the vertices of the polytopes are represented by quaternions.
Catalan E., Conway J. H., Coxeter H. S. M., du Val P., Gosset T., Gursey F., Hollowood T. J., Koca M., Koca M., Koca M., Koca M., MEHMET KOCA, MUDHAHIR AL-AJMI, NAZIFE OZDES KOCA, Sikivie P.   +14 more
core   +1 more source

Pazopanib Combined With Vincristine and Irinotecan in Relapsed Wilms Tumor: Encouraging Outcomes in a Heavily Pretreated Pediatric Cohort

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background While Wilms tumor (WT) typically has a favorable prognosis, relapsed cases—especially those with high‐risk histology—remain therapeutically challenging after intensive frontline therapy. The combination of vincristine and irinotecan has demonstrated activity in pediatric solid tumors, and pazopanib, a multi‐targeted tyrosine kinase ...
Maria Debora De Pasquale, Alessandro Crocoli, Giuseppe Maria Milano, Pierluigi Di Paolo, Francesca Diomedi Camassei, Ida Russo, Annalisa Serra   +6 more
wiley   +1 more source

Quaternions: A Mathematica Package for Quaternionic Analysis [PDF]

, 2011
This paper describes new issues of theMathematica standard package Quaternions for implementing Hamilton's Quaternion Algebra. This work attempts to endow the original package with the ability to perform operations on symbolic expressions involving quaternion-valued functions.
Falcão, M. I., Miranda, Fernando
openaire   +2 more sources

A note on hyperbolic quaternions

Universal Journal of Mathematics and Applications, 2018
In this work, we introduce hyperbolic quaternions and their algebraic properties. Moreover, we express Euler's and De Moivre's formulas for hyperbolic quaternions.
İşıl Arda Kösal
doaj   +1 more source

Unit Quaternions and the Bloch Sphere

, 2015
The spinor representation of spin-1/2 states can equally well be mapped to a single unit quaternion, yielding a new perspective despite the equivalent mathematics.
Koch, D., Wharton, K. B.
core   +1 more source

Potential Early Risk Biomarkers for Reduced Forced Expiratory Volume in Children Post‐Hematopoietic Cell Transplantation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT We sought to identify potential early risk biomarkers for lung disease in children post‐allogeneic HCT. Patients with pulmonary function tests 3 months post‐transplant and plasma samples between days 7 and 14 post‐HCT were included. Six of 27 subjects enrolled had reduced forced expiratory volume 1 (FEV1) z scores.
Isabella S. Small, Pi Chun Cheng, April L. Rahrig, Courtney M. Rowan   +3 more
wiley   +1 more source

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.
openaire   +1 more source

Psychosocial Outcomes in Patients With Endocrine Tumor Syndromes: A Systematic Review

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction The combination of disease manifestations, the familial burden, and varying penetrance of endocrine tumor syndromes (ETSs) is unique. This review aimed to portray and summarize available data on psychosocial outcomes in patients with ETSs and explore gaps and opportunities for future research and care.
Daniël Zwerus, Floortje Strobbe, Annemarie A. Verrijn Stuart, Hanneke M. van Santen, Gerlof D. Valk, Sasja A. Schepers, Rachel S. van Leeuwaarde   +6 more
wiley   +1 more source