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Technical note: Finite element formulations to map discrete fracture elements in three-dimensional groundwater models [PDF]
Hydrology and Earth System SciencesTypically, in finite element groundwater models, fractures are represented by two-dimensional triangular or quadrilateral elements. When embedded in a three-dimensional space, the Jacobian matrix governing the transformation from the global three ...
R. de Rooij
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On the separation of eigenvalues by the permutation group
Special Matrices, 2014 Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues.
Cigler Grega, Jerman Marjan
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Molecular Oncology, EarlyView.A comprehensive genomic and proteomic analysis of cervical cancer revealed STK11 and STX3 as a potential biomarkers of chemoradiation resistance. Our study demonstrated EGFR as a therapeutic target, paving the way for precision strategies to overcome treatment failure and the DNA repair pathway as a critical mechanism of resistance.
Janani Sambath +13 more
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Analytic roots of invertible matrix functions
The Electronic Journal of Linear Algebra, 2005 Various conditions are developed that guarantee existence of analytic roots of a given analytic matrix function withinvertible values defined on a simply connected domain.
Leiba Rodman, Ilya Spitkovsky
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On matrix invertible extensions over commutative rings
, 2023 We introduce the class E2 (resp. SE2) of commutative rings R with the property that each unimodular 2 x 2 matrix with entries in R extends to an invertible 3 x 3 matrix (resp. invertible 3 x 3 matrix whose (3, 3) entry is 0). Among noetherian domains of dimension 1, polynomial rings over Z or Hermite rings, only EDRs belong to the class.
Calugareanu, Grigore +2 more
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Molecular Oncology, EarlyView.Urinary LGALS3BP is elevated in bladder cancer patients compared to healthy controls as detected by the 1959 antibody–based ELISA. The antibody shows enhanced reactivity to the high‐mannose glycosylated variant secreted by cancer cells treated with kifunensine (KIF).
Asia Pece +18 more
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DIAGONALISASI MATRIKS UNTUK MENYELESAIKAN MODEL MANGSA-PEMANGSA
Barekeng, 2007 Diagonalization of a square matrix A is based on the process of finding an invertible matrix P such that , where D is diagonal matrix. Matrix P is construct of eigenvectors which corresponding to every eigenvalue of A.
Elvinus R. Persulessy
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Fractal and Fractional, 2023 The computation of the sign function of a matrix plays a crucial role in various mathematical applications. It provides a matrix-valued mapping that determines the sign of each eigenvalue of a nonsingular matrix.
Lei Shi +4 more
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Molecular Oncology, EarlyView.HDAC4 is degraded by the E3 ligase FBXW7. In colorectal cancer, FBXW7 mutations prevent HDAC4 degradation, leading to oxaliplatin resistance. Forced degradation of HDAC4 using a PROTAC compound restores drug sensitivity by resetting the super‐enhancer landscape, reprogramming the epigenetic state of FBXW7‐mutated cells to resemble oxaliplatin ...
Vanessa Tolotto +13 more
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On Invertibility of Large Binary Matrices
MathematicsMany data processing applications involve binary matrices for storing digital information. At present, there are limited results in the literature about algorithms for inverting large binary matrices.
Ibrahim Mammadov +2 more
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