Results 61 to 70 of about 4,460 (268)

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

Open 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

Fundamental solution matrix and Cauchy properties of quaternion combined impulsive matrix dynamic equation on time scales

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix combined-exponential function is introduced and some basic properties are obtained.
Wang Chao, Li Zhien, Agarwal Ravi P.
doaj   +1 more source

Criterion‐Related Validity of the Neuropsychological Quick Assessment for Screening Cognitive, Motor, and Behavioral Impairments in Patients With Pediatric Brain Tumors: An Observational Pilot Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Neuropsychological complications may impair the qualitative prognosis of patients with pediatric brain tumors. However, multifaceted evaluations cannot be conducted in all patients because they are time consuming and burdensome for patients.
Ami Tabata, Keita Ueda, Tsukasa Ueno, Katsutsugu Umeda, Kentaro Ueno, Kanade Tanaka, Noyuri Nishida, Rie Yamawaki, Megumi Nukui, Yoshiki Arakawa   +9 more
wiley   +1 more source

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

Special 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.
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On the quaternion projective space

Journal of Taibah University for Science, 2020
Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we
Y. Omar, A. M. Shahin, E. Ahmed, A. M. K. Tarabia, H. A. A. El-Saka   +4 more
doaj   +1 more source

The Efficacy and Safety of Bevacizumab/Irinotecan/Temozolomide (BIT) for Relapsed/Refractory Neuroblastoma: The UK Children's Cancer and Leukaemia Group Experience

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Patients with high‐risk neuroblastoma who either are refractory to induction chemotherapy or relapse following multi‐modal treatment have a dismal prognosis. Based on data from the BEACON trial, since 2021 the UK national guidelines recommend bevacizumab, irinotecan, and temozolomide (BIT) for patients with relapsed/refractory ...
Thomas J. Jackson, Menna Shamma, Upeka Senanayake, Shaimaa Sahmoud, Kathleen Duffin, Victoria Howard, David King, Ayesha Fathani, Blanche Lumb, Andrei Pobischan, Irum Latif Memon, Monzir Ahmed, Rhian Thomas, Gerard Millen, Yasmeen Alomari, Sucheta Vaidya, Lynley V. Marshall, Sally L. George, Ramya Ramanujachar, Juliet Gray, Paola Angelini   +20 more
wiley   +1 more source

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

Fractal 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, Zhuhuang Zhou, Yuanqing Xia, Saima Siddiqui, Mohra Zayed, Mohammad Younus Bhat   +5 more
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A Version of Uncertainty Principle for Quaternion Linear Canonical Transform

Abstract and Applied Analysis, 2018
In recent years, the two-dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. In the present paper, based on the relationship between the quaternion Fourier transform (QFT) and the ...
Mawardi Bahri, Resnawati, Selvy Musdalifah   +2 more
doaj   +1 more source

Alveolar Soft Part Sarcoma in Pediatric and Young Adult Patients: A Report From the Children's Oncology Group Study ARST0332

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Alveolar soft part sarcoma (ASPS) is a rare soft tissue sarcoma occurring most commonly in adolescence and young adulthood. Methods We present the clinical characteristics, treatments, and outcomes of patients with newly diagnosed ASPS enrolled on the Children's Oncology Group study ARST0332.
Jacquelyn N. Crane, Wei Xue, Amira Qumseya, Thomas Scharschmidt, Kathryn R. Tringale, Oscar Lopez Nunez, Jiaqi Hu, Donald A. Barkauskas, Rajkumar Venkatramani, Sheri L. Spunt, Aaron R. Weiss, Noah C. Federman   +11 more
wiley   +1 more source

Generalized constant ratio surfaces and quaternions

Kuwait 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