Results 111 to 120 of about 1,931 (288)
Quaternionic Perfect Sequences and Hadamard Matrices
CoRRA finite sequence of numbers is perfect if it has zero periodic autocorrelation after a nontrivial cyclic shift. In this work, we study quaternionic perfect sequences having a one-to-one correspondence with the binary sequences arising in Williamson's construction of quaternion-type Hadamard matrices. Using this correspondence, we devise an enumeration
Aidan Bennett +3 more
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Molecular Oncology, EarlyView.BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi +11 more
wiley +1 more source
The Estimation for the Eigenvalue of Quaternion Doubly Stochastic Matrices using Gerschgorin Balls [PDF]
, 2019 The purpose of this paper is to locate and estimate the eigen values of quaternion doubly stochastic matrices. We present several estimation theorems about the eigen values of quaternion doubly stochastic matrices.
Dr. Gunasekaran K, Mrs. Seethadevi R
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Molecular Oncology, EarlyView.Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley +1 more source
Group matrices for the quaternion and generalized dihedral groups [PDF]
, 1986 Properties of group matrices corresponding to the (non-Abelian) quaternion group Q8 and of the generalized dihedral group are ...
Davis, P.J., Wang, K.
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Advanced quaternion forward kinematics algorithm including overview of different methods for robot kinematics [PDF]
FME Transactions, 2014 Formulation of proper and efficient algorithms for robot kinematics is essential for the analysis and design of serial manipulators. Kinematic modeling of manipulators is most often performed in Cartesian space.
Vidaković Jelena Z. +4 more
doaj
New families of quaternionic Hadamard matrices
Designs, Codes and CryptographyAbstractA quaternionic Hadamard matrix (QHM) of ordernis an$$n\times n$$n×nmatrixHwith non-zero entries in the quaternions such that$$HH^*=nI_n$$HH∗=nIn, where$$I_n$$Inand$$H^*$$H∗denote the identity matrix and the conjugate-transpose ofH, respectively.
Santiago Barrera Acevedo +2 more
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Molecular Oncology, EarlyView.Interferon type 1 (IFN‐1) production and signaling is associated with the acquisition of therapy resistance, following chronic DNA damage, via Interferon‐related DNA damage resistance signature (IRDS) gene expression. An alternative, DNA damage‐independent role of sustained IFN‐1 mediated resistance was identified and characterized by the emergence of ...
Ashlyn Conant +11 more
wiley +1 more source
MathematicsWe present an analysis of the Dirac equation when the spin symmetry is changed from SU(2) to the quaternion group, Q8, achieved by multiplying one of the gamma matrices by the imaginary number, i. The reason for doing this is to introduce a bivector into
Bryan Sanctuary
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Congruence of Quaternionic Skew-Hermitian Matrices
Irish Mathematical Society Bulletin, 1997 Any two non-singular skew-hermitian forms over the real quaternions are isometric if they have the same dimension. The author gives an elementary proof, in matrix terms, of this well-known theorem.
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