Results 41 to 50 of about 8,275 (244)

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini-Type Identities

Journal of Mathematics
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r-split quaternions and the Horadam sq,r-split quaternions, which ...
İskender Öztürk, Hasan Çakır
doaj   +1 more source

Some properties of Fibonacci numbers, Fibonacci octonions and generalized Fibonacci-Lucas octonions

, 2015
In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these ...
Savin, Diana
core   +1 more source

Outcomes of Live Virus Vaccination in Patients With Vascular Anomalies Being Treated With Sirolimus

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Live vaccination in patients with vascular anomalies (VA) receiving sirolimus remains controversial due to immunosuppressive effects and theoretical risks. Procedure This single‐center retrospective study included patients with VA less than 4 years old at the start of sirolimus therapy who were incompletely vaccinated.
Svatava Merkle, Kiersten Ricci, Kelly Blache, Rebecca A. Marsh, Adrienne M. Hammill, Elissa Engel   +5 more
wiley   +1 more source

The General Solution to a System of Tensor Equations over the Split Quaternion Algebra with Applications

Mathematics
This paper presents a systematic investigation into the solvability and the general solution of a tensor equation system within the split quaternion algebra framework. As an extension of classical quaternions with distinctive pseudo-Euclidean properties,
Zong-Ru Jia, Qing-Wen Wang
doaj   +1 more source

Prevalence and Trajectory of Household Material Hardship Among Children With Advanced Cancer

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background/Objectives Families of children with advanced cancer living in poverty experience inferior outcomes including poor parent mental health and worse child quality of life. Household material hardship (HMH: food, housing, transportation, and/or utility insecurity) is a modifiable poverty exposure—and potential intervention target—that ...
Sarah Wright, Morgan A. Paul, Selena Murcia Mendez, Emily Jones, Lucille Lokko, Chelsea Heneghan, Nicholas Purol, Morgan Arnold, Rahela Aziz‐Bose, Colleen A. Kelly, Sandi L. Pruitt, Joanne Wolfe, Kira Bona, Puja J. Umaretiya   +13 more
wiley   +1 more source

Clifford Algebras and Euclid's Parameterization of Pythagorean Triples

, 2012
We show that the space of Euclid's parameters for Pythagorean triples is endowed with a natural symplectic structure and that it emerges as a spinor space of the Clifford algebra $\mathbb{R}_{2,1}$, whose minimal version may be conceptualized as a 4 ...
Kocik, Jerzy
core   +1 more source

The Fate (Outcome) of Clinically Apparent Single Lesion and Oligofocal Nephroblastomatosis Treated According to SIOP/GPOH Protocols for Wilms Tumor

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The management of clinically apparent single lesions or oligofocal nephroblastomatosis, a facultative precursor of nephroblastoma, remains debated. Methods We retrospectively analyzed 37 patients with clinically apparent single or oligofocal nephroblastomatosis (two to three lesions per kidney) among 2347 patients registered between
Nils Welter, Jens‐Peter Schenk, Jenny Wegert, Manfred Gessler, Leo Kager, Stefan Wagenpfeil, Marina Müller, Jean‐Michel Wolff, Joerg Fuchs, Steven W. Warmann, Clemens‐Magnus Meier, Jochen Hubertus, Christian Rübe, Christian Vokuhl, Patrick Melchior, Lena Tschirner, Norbert Graf, Rhoikos Furtwängler   +17 more
wiley   +1 more source

Octonion Quantum Chromodynamics

, 2012
Starting with the usual definitions of octonions, an attempt has been made to establish the relations between octonion basis elements and Gell-Mann \lambda matrices of SU(3)symmetry on comparing the multiplication tables for Gell-Mann \lambda matrices of
A. Cayley, A.M. Polyakov, B. C. Chanyal, B. Julia, B.C. Chanyal, B.C. Chanyal, C. Castro, C.A. Manogue, D. Zwanzinger, G. ’t Hooft, J. Schwinger, J.C. Baez, K. Morita, K. Morita, K. Morita, L.E. Dickson, M. Günaydin, M. Günaydin, O. P. S. Negi, O.P.S. Negi, P. S. Bisht, P.A.M. Dirac, P.G. Tait, P.S. Bisht, Pushpa, Pushpa, R. Foot, R. Foot, R.P. Graves, S. Marques, T. Kugo, Tianjun Li, W.R. Hamilton   +32 more
core   +1 more source

‘They Need to Hear You Say It’: Healthcare Professionals’ Perspectives on Barriers and Enablers to End‐of‐Life Discussions With Adolescents and Young Adults With Cancer

Pediatric Blood &Cancer, EarlyView.
ABSTRACT End‐of‐life conversations with adolescents and young adults (AYAs) with cancer rarely occur without the guidance of healthcare professionals. As a part of the ‘Difficult Discussions’ study, focused on palliative care and advance care planning discussions with AYAs with cancer, we investigated the factors that healthcare professionals identify ...
Justine Lee, Holly Evans, Claire E. Wakefield, Antoinette Anazodo, Richard J. Cohn, Brittany C. McGill, Elizabeth A. Lobb, Lori Wiener, Madeleine L. Juhrmann, Ursula M. Sansom‐Daly   +9 more
wiley   +1 more source

Split quaternion Fourier transforms for two-dimensional real invariant field

Demonstratio Mathematica
The article gives the corresponding split quaternions in Clifford analysis and the split Fourier transform (FT). Also, we investigate some properties of the split FT and apply to generalizations of the quaternion FT.
Kim Ji Eun
doaj   +1 more source