Results 41 to 50 of about 1,777 (237)

Approximations of subhomogeneous algebras

, 2012
Let $n$ be a natural number. Recall that a C*-algebra is said to be $n$-subhomogeneous if all its irreducible representations have dimension at most $n$.
Huruya, Loebl, OTGONBAYAR UUYE, Pedersen, Stinespring, Takesaki, TATIANA SHULMAN   +6 more
core   +1 more source

On Symmetric Factorizations of Hankel Matrices

2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS), 2023
We present two conjectures regarding the running time of computing symmetric factorizations for a Hankel matrix $\mathbf{H}$ and its inverse $\mathbf{H}^{-1}$ as $\mathbf{B}\mathbf{B}^*$ under fixed-point arithmetic. If solved, these would result in a faster-than-matrix-multiplication algorithm for solving sparse poly-conditioned linear programming ...
openaire   +2 more sources

Block LU factorizations of M-matrices [PDF]

Numerische Mathematik, 1998
It is well known that any nonsingular M-matrix admits an LU factorization into M-matrices (with L and U lower and upper triangular respectively) and any singular M-matrix is permutation similar to an M-matrix which admits an LU factorization into M-matrices.
Judith J. McDonald, Hans Schneider
openaire   +3 more sources

AAA+ protein unfoldases—the Moirai of the proteome

FEBS Letters, EarlyView.
AAA+ unfoldases are essential molecular motors that power protein degradation and disaggregation. This review integrates recent cryo‐electron microscopy (cryo‐EM) structures and single‐molecule biophysical data to reconcile competing models of substrate translocation.
Stavros Azinas, Marta Carroni
wiley   +1 more source

de Branges-Rovnyak spaces: basics and theory

, 2014
For $S$ a contractive analytic operator-valued function on the unit disk ${\mathbb D}$, de Branges and Rovnyak associate a Hilbert space of analytic functions ${\mathcal H}(S)$ and related extension space ${\mathcal D(S)}$ consisting of pairs of analytic
AE Frazho, BA Lotto, BA Lotto, BA Lotto, BR Crofoot, D Alpay, D Alpay, D Alpay, D Alpay, D Alpay, D Sarason, D Sarason, D Sarason, D Singh, F Beatrous, FD Suárez, G Popescu, G Popescu, G Popescu, H Dym, J Bunce, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JE Shapiro, JE Shapiro, K Zhu, K Zhu, L Branges de, L Branges de, L Branges de, L Branges de, L Branges de, L Branges de, L Branges de, L Branges de, L Branges de, M Rosenblum, M Rosenblum, MA Dritschel, MB Davis, MS Brodskii, MT Jury, N Aronszajn, N Chevrot, NK Nikolskii, NK Nikolskii, NK Nikolskii, PA Fillmore, PR Halmos, RG Douglas, RG Douglas, SR Treil, T Bhattacharyya, TL Kriete, V Bolotnikov, VA Derkach, VA Derkach   +64 more
core   +1 more source

Epigenetic blind spots – the role of DNA methylation dynamics in stem cell‐based models of embryogenesis

FEBS Letters, EarlyView.
Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil, Anna Corrà, Annalisa Scapolatiello, Chengxiang Qiu, Gianluca Amadei   +4 more
wiley   +1 more source

On theLU factorization ofM-matrices

Numerische Mathematik, 1981
In this paper, we give in Theorem 1 a characterization, based on graph theory, of when anM-matrixA admits anLU factorization intoM-matrices, whereL is a nonsingular lower triangularM-matrix andU is an upper triangularM-matrix. This result generalizes earlier factorization results of Fiedler and Ptak (1962) and Kuo (1977). As a consequence of Theorem 1,
VARGA, R.S., Cai, D.Y.
openaire   +2 more sources

Degradation mechanism of the von Willebrand factor A2 domain by nattokinase

FEBS Letters, EarlyView.
Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto, Masatomo So, Ayako Furukawa, Kenji Sugase   +3 more
wiley   +1 more source

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

PyPhi: A toolbox for integrated information theory

, 2018
Integrated information theory provides a mathematical framework to fully characterize the cause-effect structure of a physical system. Here, we introduce PyPhi, a Python software package that implements this framework for causal analysis and unfolds the ...
Albantakis, Larissa, Findlay, Graham, Marchman, Robert, Marshall, William, Mayner, William G. P., Tononi, Giulio   +5 more
core   +2 more sources