Results 71 to 80 of about 138,886 (308)
Singular Values of Trilinear Forms [PDF]
Let T : H 1 × H 2 × H 3 → C be a trilinear form, where H 1, H 2, H 3 are separable Hilbert spaces. In the hypothesis that at least two of the three spaces are finite dimensional we show that the norm square λ = ∥T∥2 is a root of a certain algebraic equation, usually of very high degree, which we baptize the millennia] equation, because it is an ...
Bo Bernhardsson, Jaak Peetre
openaire +2 more sources
An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley +1 more source
Positive solutions of singular complementary lidstone boundary value problems [PDF]
We investigate the existence of positive solutions of singular problem (-1)(m)x((2m+1)) = f(t, x, ..., x((2m))), x(0) = 0, x((2i-1))(0) = x((2i-1))(T) = 0, 1 = 1 and the Caratheodory function f(t, x(0), ..., x(2m)) may be singular in all its space ...
Agarwal, RaviP +2 more
core +1 more source
A generalization of the randomized singular value decomposition
The randomized singular value decomposition (SVD) is a popular and effective algorithm for computing a near-best rank $k$ approximation of a matrix $A$ using matrix-vector products with standard Gaussian vectors. Here, we generalize the randomized SVD to multivariate Gaussian vectors, allowing one to incorporate prior knowledge of $A$ into the ...
Boulle, N, Townsend, A
openaire +7 more sources
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
wiley +1 more source
Phosphoinositides and inositol phosphates as molecular glues
Inositol phosphates (IPs) and phosphoinositides (PIPs) regulate diverse eukaryotic processes. Beyond recruiting signaling proteins or acting as structural cofactors, recent studies suggest they mediate protein–protein interactions as natural molecular glues.
Aleshia Seaton‐Terry +9 more
wiley +1 more source
Singular random matrix decompositions: Jacobians. [PDF]
For a singular random matrix Y, we find the Jacobians associated with the following decompositions; QR, Polar, Singular Value (SVD), L'U, L'DM and modified QR (QDR).
González Farías, Graciela +1 more
core
Novel Watermarking Methods Based on Frequency Domain and Singular Value Decomposition [PDF]
Nowadays, the copyright laws protecting the digital content are getting quite common. One of the important things is to protect the original or compressed images against illegal use. Frequency domain watermarking methods are used in most cases in today's
Martin Zukal, Petr Cika
core +1 more source
Improved singular value inclusion sets for rectangular tensors
In this paper, improved singular value inclusion sets for rectangular tensors are given, which are tighter than those in (Zhao and Li in Linear Multilinear Algebra 66(7):1333–1350, 2018).
Jun He, Yanmin Liu
doaj +1 more source
On approximating functions of the singular values in a stream [PDF]
For any real number $p > 0$, we nearly completely characterize the space complexity of estimating $\|A\|_p^p = \sum_{i=1}^n σ_i^p$ for $n \times n$ matrices $A$ in which each row and each column has $O(1)$ non-zero entries and whose entries are presented one at a time in a data stream model. Here the $σ_i$ are the singular values of $A$, and when $p
Yi Li 0002, David P. Woodruff
openaire +2 more sources

