Results 11 to 20 of about 56,763 (260)
Probabilistic rank and matrix rigidity [PDF]
Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, 2017 We consider a notion of probabilistic rank and probabilistic sign-rank of a matrix, which measures the extent to which a matrix can be probabilistically represented by low-rank matrices. We demonstrate several connections with matrix rigidity, communication complexity, and circuit lower bounds, including: The Walsh-Hadamard Transform is Not Very Rigid.
Josh Alman, R. Ryan Williams
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On the Complexity of Matrix Rank and Rigidity [PDF]
Theory of Computing Systems, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meena Mahajan, Jayalal Sarma
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The focal adhesion-localized CdGAP regulates matrix rigidity sensing and durotaxis. [PDF]
PLoS ONE, 2014 Motile cells are capable of sensing the stiffness of the surrounding extracellular matrix through integrin-mediated focal adhesions and migrate towards regions of higher rigidity in a process known as durotaxis.
Duncan B Wormer +3 more
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Tumor Suppressor DAPK1 Catalyzes Adhesion Assembly on Rigid but Anoikis on Soft Matrices
Frontiers in Cell and Developmental Biology, 2022 Cancer cells normally grow on soft surfaces due to impaired mechanosensing of the extracellular matrix rigidity. Upon restoration of proper mechanosensing, cancer cells undergo apoptosis on soft surfaces (anoikis) like most normal cells.
Ruifang Qin +5 more
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The Orbit Rigidity Matrix of a Symmetric Framework [PDF]
Discrete & Computational Geometry, 2010 41 pages, 12 ...
Bernd Schulze, Walter Whiteley
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SEISMIC ANALYSIS OF FRAMES WITH SEMI-RIGID CONNECTIONS IN ACCORDANCE WITH EC8
Facta Universitatis. Series: Architecture and Civil Engineering, 2020 Up to date research has pointed out that most of the structural connections of reinforced concrete (RC) frames, particularly precast ones, behave as semi-rigid.
Dragan Zlatkov +3 more
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Mechanics regulates fate decisions of human embryonic stem cells. [PDF]
PLoS ONE, 2012 Research on human embryonic stem cells (hESCs) has attracted much attention given their great potential for tissue regenerative therapy and fundamental developmental biology studies.
Yubing Sun +5 more
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Formation of Moments Influence Matrix in Frame Based on Graph of its Design Scheme [PDF]
MATEC Web of Conferences, 2021 A procedure is proposed for the automated construction of the bending moments influence matrix in the frame based on the graph of its discrete model. Forming the incidence matrix of the graph characterizing the topological structure of the design scheme ...
Monakhov V.А., Shein А.I.
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Matrix and tensor rigidity and L-approximation
Journal of Complexity, 2022 In this paper we apply methods originated in Complexity theory to some problems of Approximation. We notice that the construction of Alman and Williams that disproves the rigidity of Walsh-Hadamard matrices, provides good $\ell_p$-approximation for $p<2$.
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Matrix rigidity induces osteolytic gene expression of metastatic breast cancer cells. [PDF]
PLoS ONE, 2010 Nearly 70% of breast cancer patients with advanced disease will develop bone metastases. Once established in bone, tumor cells produce factors that cause changes in normal bone remodeling, such as parathyroid hormone-related protein (PTHrP).
Nazanin S Ruppender +5 more
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