Results 81 to 90 of about 19,876 (286)

The Real and Complex Hermitian Solutions to a System of Quaternion Matrix Equations with Applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We establish necessary and sufficient conditions for the existence of and the expressions for the general real and complex Hermitian solutions to the classical system of quaternion matrix equations A1X=C1,XB1=C2, and  A3XA3*=C3. Moreover, formulas of the
Shao-Wen Yu
doaj   +1 more source

Crucial parameters for precise copy number variation detection in formalin‐fixed paraffin‐embedded solid cancer samples

open access: yesMolecular Oncology, EarlyView.
This study shows that copy number variations (CNVs) can be reliably detected in formalin‐fixed paraffin‐embedded (FFPE) solid cancer samples using ultra‐low‐pass whole‐genome sequencing, provided that key (pre)‐analytical parameters are optimized.
Hanne Goris   +10 more
wiley   +1 more source

Quaternion Feistel Cipher with an Infinite Key Space Based on Quaternion Julia Sets

open access: yesJournal of Telecommunications and Information Technology, 2015
In this paper Quaternion Feistel Cipher (QFC) with an infinite key space based on quaternion Julia sets is proposed. The basic structure of the algorithm is based on the scheme proposed in 2012 by Sastry and Kumar.
Mariusz Dzwonkowski, Roman Rykaczewski
doaj   +1 more source

Summing free unitary random matrices

open access: yes, 2011
I use quaternion free probability calculus - an extension of free probability to non-Hermitian matrices (which is introduced in a succinct but self-contained way) - to derive in the large-size limit the mean densities of the eigenvalues and singular ...
A. Crisanti   +11 more
core   +1 more source

Littlewood's algorithm and quaternion matrices

open access: yesLinear Algebra and its Applications, 1999
20 ...
Merino, Dennis I.   +1 more
openaire   +2 more sources

Tumor mutational burden as a determinant of metastatic dissemination patterns

open access: yesMolecular Oncology, EarlyView.
This study performed a comprehensive analysis of genomic data to elucidate whether metastasis in certain organs share genetic characteristics regardless of cancer type. No robust mutational patterns were identified across different metastatic locations and cancer types.
Eduardo Candeal   +4 more
wiley   +1 more source

Space-time block codes from nonassociative division algebras

open access: yes, 2011
Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully diverse $2\times 2$
Pumpluen, Susanne, Unger, Thomas
core   +1 more source

The PI3Kδ inhibitor roginolisib (IOA‐244) preserves T‐cell function and activity

open access: yesMolecular Oncology, EarlyView.
Identification of novel PI3K inhibitors with limited immune‐related adverse effects is highly sought after. We found that roginolisib and idelalisib inhibit chronic lymphocytic leukemia (CLL) cells and Treg suppressive functions to similar extents, but roginolisib affects cytotoxic T‐cell function and promotion of pro‐inflammatory T helper subsets to a
Elise Solli   +7 more
wiley   +1 more source

Fast Quaternion Algorithm for Face Recognition

open access: yesMathematics
Quaternions extend the concept of complex numbers and have significant applications in image processing, as they provide an efficient way to represent RGB images. One interesting application is face recognition, which aims to identify a person in a given
Anita Carević, Ivan Slapničar
doaj   +1 more source

Time-Reversal Symmetry in Non-Hermitian Systems

open access: yes, 2011
For ordinary hermitian Hamiltonians, the states show the Kramers degeneracy when the system has a half-odd-integer spin and the time reversal operator obeys \Theta^2=-1, but no such a degeneracy exists when \Theta^2=+1.
Berry   +4 more
core   +1 more source

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