Results 31 to 40 of about 161,308 (277)
Invariant operators, orthogonal bases and correlators in general tensor models
Nuclear Physics B, 2018 We study invariant operators in general tensor models. We show that representation theory provides an efficient framework to count and classify invariants in tensor models of (gauge) symmetry Gd=U(N1)⊗⋯⊗U(Nd).
Pablo Diaz, Soo-Jong Rey
doaj +1 more source
Homeomorphic Images of Orthogonal Bases
The Electronic Journal of Linear Algebra, 2016 Necessary and sufficient conditions are obtained for a sequence $\{x_j:~j\in \mathbb J\}$ in a Hilbert space to be, up to the elimination of a finite subset of $\mathbb J$, the linear homeomorphic image of an orthogonal basis of some Hilbert space $K$. This extends a similar result for orthonormal bases due to Holub [J.R. Holub.
Kebryaee, M., Radjabalipour, M.
openaire +2 more sources
Electronic Fourier–Galois Spectrum Analyzer for the Field GF(31)
Applied SciencesA scheme for the Fourier–Galois spectrum analyzer for the field GF(31) is proposed. It is shown that this analyzer allows for solving a wide enough range of problems related to image processing, in particular those arising in the course of experimental ...
Kaisarali Kadyrzhan +5 more
doaj +1 more source
QCD multiplet bases with arbitrary parton ordering
Journal of High Energy Physics, 2018 We develop an algorithm for recursively constructing orthogonal multiplet bases for the color space of QCD, for any order of partons and any N c . This recipe is then applied for explicitly constructing some of these bases.
Malin Sjodahl, Johan Thorén
doaj +1 more source
Geophysical Research Letters, 2022 Various indices have been defined to characterize the phase and amplitude of the Madden‐Julian oscillation (MJO). One widely used index is the outgoing longwave radiation (OLR) based MJO index (OMI), which is calculated using the spatial pattern of 30–96‐
Sarah Weidman +2 more
doaj +1 more source
Block orthogonal polynomials: I. Definition and properties
, 2007 Constrained orthogonal polynomials have been recently introduced in the study of the Hohenberg-Kohn functional to provide basis functions satisfying particle number conservation for an expansion of the particle density.
Abramowitz M +17 more
core +4 more sources
Application of Partial Discrete Logarithms for Discrete Logarithm Computation
ComputersA novel approach to constructing an algorithm for computing discrete logarithms, which holds significant interest for advancing cryptographic methods and the applied use of multivalued logic, is proposed.
Dina Shaltykova +3 more
doaj +1 more source
Three-by-three bound entanglement with general unextendible product bases
, 2011 We discuss the subject of Unextendible Product Bases with the orthogonality condition dropped and we prove that the lowest rank non-separable positive-partial-transpose states, i.e.
Harris J. +3 more
core +1 more source
Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Orthogonal Appell bases for Hodge-de Rham systems in Euclidean spaces [PDF]
, 2011 Recently the Gelfand-Tsetlin construction of orthogonal bases has been explicitly described for the spaces of k-homogeneous polynomial solutions of the Hodge-de Rham system in the Euclidean space R^m which take values in the space of s-vectors.
Lavicka, Roman
core