Results 61 to 70 of about 161,308 (277)

On the Orthogonal Bases of Symmetry Classes

Journal of Algebra, 1999
Let \(V\) be an \(n\)-dimensional complex inner product space and let \(\{e_1,\dots,e_n\}\) be an orthonormal basis of \(V\). Suppose \(G\) is a permutation group of degree \(m\) and \(X\) is an irreducible character of \(G\). The symmetry class of tensors associated with \(G\) and \(X\) is denoted by \(V_X(G)\).
openaire   +1 more source

Directed evolution of enzymes at the crossroads of tradition and innovation

FEBS Open Bio, EarlyView.
An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova, Andrej Mirossay, Erik Sedlak   +2 more
wiley   +1 more source

Optimal and Quasioptimal Algorithms of Distinction of the Compressed Images in Bases of Orthogonal Polynomials

Communications, 2012
The synthesis and analysis of effective practically realized algorithms of distinction of signals and images represented in bases of orthogonal polynomials was executed.
Oleg Vyacheslavovich Chernoyarov, Martin Breznan   +1 more
doaj   +1 more source

Trace-orthogonal normal bases

Discrete Applied Mathematics, 1993
For \(q\) a prime power and \(n\geq 2\) an integer, let \(GF(q^ n)\) denote the finite field of order \(q^ n\) considered as a vector space of dimension \(n\) over \(GF(q)\). For \(\alpha\in GF(q^ n)\), a basis of the form \((\alpha, \alpha^ q,\cdots, \alpha^{q^{n-1}})\) is called a normal basis of \(GF(q^ n)\) over \(GF(q)\).
openaire   +2 more sources

On base change for odd orthogonal groups [PDF]

Journal of the American Mathematical Society, 1995
Let \(G\) be an orthogonal group over \(\mathbb{Q}\) with \(G(\mathbb{R}) \cong \text{SO} (2n, 1)\). The main purpose of this paper is to show that the most obvious idea of a base change map for such groups does not exist. More precisely they show that there is a cuspidal automorphic representation \(\pi\) for \(G\) and a real quadratic extension \(K\)
Cogdell, J. W., Piatetski-Shapiro, Ilya I.   +1 more
openaire   +2 more sources

Orthogonal unitary bases and a subfactor conjecture

Proceedings of the American Mathematical Society, 2023
We show that any finite dimensional von Neumann algebra admits an orthonormal unitary basis with respect to its standard trace. We also show that a finite dimensional von Neumann subalgebra of
Crann, Jason, Kribs, David W., Pereira, Rajesh   +2 more
openaire   +2 more sources

Immune‐Driven Expression in Inclusion Body Myositis With T‐Cell Large Granular Lymphocytic Leukemia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives T‐cell large granular lymphocytic leukemia (T‐LGLL), reported in up to 58% of inclusion body myositis (IBM) patients, is a rare leukemia of cytotoxic or less commonly helper T cells. The range of myopathies in T‐LGLL and the impact of coexisting T‐LGLL in IBM are not well understood. Our objectives are to investigate the spectrum of
Pannathat Soontrapa, Iago Pinal‐Fernandez, Pritikanta Paul, Michael P. Skolka, Margherita Milone, Min Shi, Mithun V. Shah, Maria Casal‐Dominguez, Katherine Pak, Andrew L. Mammen, Teerin Liewluck   +10 more
wiley   +1 more source

A Dynamic BI–Orthogonal Field Equation Approach to Efficient Bayesian Inversion

International Journal of Applied Mathematics and Computer Science, 2017
This paper proposes a novel computationally efficient stochastic spectral projection based approach to Bayesian inversion of a computer simulator with high dimensional parametric and model structure uncertainty.
Tagade Piyush M., Choi Han-Lim
doaj   +1 more source

Structure–Function Decoupling of the Sensorimotor and Default Mode Networks in Black Americans With MS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Multiple sclerosis (MS) exhibits racially disparate rates of disease progression. Black people with MS (B‐PwMS) experience a more severe disease course than non‐Hispanic White people with MS (NHW‐PwMS). Here we investigated structural and functional connectivity as well as structure–function decoupling in the ...
Emilio Cipriano, Giacomo Boffa, Maria Petracca, Marta Ponzano, Nicole Graziano, Claire Wigley, Claire Riley, Jonathan Howard, Pietro Bontempi, Sylvia Klineova, Fred Lublin, Matilde Inglese   +11 more
wiley   +1 more source

Complementarity of Long‐Reads and Optical Mapping in Parkinson's Disease for Structural Variants

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Long‐read sequencing and optical genome mapping technologies have the ability to detect large and complex structural variants. This has led to the discovery of novel pathogenic variants in neurodegenerative movement disorders. Thus, we aimed to systematically compare the SV detection capabilities of OGM and ONT in Parkinson's disease.
André Fienemann, Theresa Lüth, Susen Schaake, Carolin Gabbert, Marius Möller, Hauke Busch, Katja Lohmann, Jonas A. Gustafson, Danny E. Miller, Kensuke Daida, Manabu Funayama, Nobutaka Hattori, Samia Ben Sassi, Faycel Hentati, Matthew J. Farrer, Kristian K. Ullrich, Christine Klein, Joanne Trinh   +17 more
wiley   +1 more source