Results 71 to 80 of about 4,625 (266)

Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C

open access: yesSpecial Matrices, 2014
L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331(2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformationsA ↦ ˜S−1AS in which S is a nonsingular quaternion matrix ...
Klimchuk Tatiana, Sergeichuk Vladimir V.
doaj   +1 more source

Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales

open access: yesOpen Mathematics, 2020
In this study, we obtain the scalar and matrix exponential functions through a series of quaternion-valued functions on time scales. A sufficient and necessary condition is established to guarantee that the induced matrix is real-valued for the complex ...
Li Zhien, Wang Chao
doaj   +1 more source

The quaternionic determinant [PDF]

open access: yesThe Electronic Journal of Linear Algebra, 2000
The determinant for complex matrices cannot be extended to quaternionic matrices. Instead, the Study determinant and the closely related $q$-determinant are widely used. We show that the Study determinant can be characterized as the unique functional which extends the {\em absolute value} of the complex determinant and discuss its spectral and linear ...
Cohen, Nir, De Leo, Stefano
openaire   +2 more sources

Association Between Dinutuximab Beta Exposure and Post‐End‐of‐Treatment Survival in Neuroblastoma: A Weighted Patient‐Level Analysis of Three Clinical Studies

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Objectives The association between exposure to dinutuximab beta (DB) and event‐free survival (EFS) or overall survival (OS) of neuroblastoma patients was assessed using data collected during three clinical trials (five cohorts). Methods A systematic review (March 2026) was conducted to identify relevant studies (prospective; registered DB ...
Przemysław Holko   +19 more
wiley   +1 more source

Two-Dimensional Quaternion Fractional Fourier Transform: Definition and Probabilistic Analysis

open access: yesFractal and Fractional
This article presents a detailed study of the two-dimensional quaternion fractional Fourier transform (2D QFRFT) and investigates its role in the probabilistic analysis of quaternion-valued signals.
Muhammad Adnan Samad   +5 more
doaj   +1 more source

BMT4me En Español: Multisite Feasibility and Usability Testing of a Spanish‐Language mHealth Adherence Support App for Spanish‐Speaking Caregivers of Children After Hematopoietic Stem Cell Transplantation and Cancer Treatment

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Medication nonadherence during the first 100 days after pediatric hematopoietic stem cell transplantation (HSCT) and during oncology treatment increases risk for complications. BMT4me is a caregiver‐facing mobile health (mHealth) application providing medication reminders, symptom tracking, and note‐taking features to support ...
Micah A. Skeens   +4 more
wiley   +1 more source

Generalized constant ratio surfaces and quaternions

open access: yesKuwait Journal of Science, 2017
In this study, we show that the generalized constant ratio surfaces can be obtained by the quaternion product of a unitquaternion and a pure quaternion.
Selahattin Aslan, Yusuf Yayl?
doaj  

Dihedralizing the Quaternions

open access: yesThe American Mathematical Monthly
Expository and recreational. Full color version of a forthcoming Monthly article.
openaire   +2 more sources

Measurable Residual Disease Monitoring During Treatment for Pediatric Acute Myeloid Leukemia in First Relapse

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survival after relapse in pediatric acute myeloid leukemia (AML) remains poor, highlighting the critical importance of identifying prognostic factors to guide optimal relapse management. Methods We investigated the prognostic impact of multiparameter flow cytometry (MFC) measurable residual disease (MRD) in 188 patients with first ...
Camilla Poulsen   +21 more
wiley   +1 more source

T2* Magnetic Resonance Imaging Uncovers Hemosiderin Burden in Pediatric Hemophilia: A Call for Sensitive Imaging Biomarkers

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Hemophilic arthropathy remains the leading morbidity in hemophilia despite modern prophylaxis, and early joint damage may be missed by routine exams. This study explored T2* MRI as a noninvasive biomarker of hemosiderin deposition in pediatric hemophilia.
Jessica Garcia   +6 more
wiley   +1 more source

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