Results 51 to 60 of about 2,610,164 (335)
Zeros of the inverted neutrino mass matrix [PDF]
7 pages ...
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On the separation of eigenvalues by the permutation group
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
doaj +1 more source
Direct Iterative Photonic Integrated Matrix Inverter
We demonstrate the first chip-based real-valued direct photonic matrix inverter using coherent sources. At a rate of 2×10 5 inversions/s, a 16×16 diagonal matrix and a 2×2 arbitrary matrix are inverted with 99.2% and 93.7% accuracy.
Chen, M+6 more
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The structure of invertible substitutions on a three-letter alphabet [PDF]
We study the structure of invertible substitutions on three-letter alphabet. We show that there exists a finite set S of invertible substitutions such that any invertible substitution can be written as Iw∘σ1∘σ2∘⋯∘σk, where Iw is the inner automorphism ...
Tan, Bo, Wen, Zhi-Xiong, Zhang, Yiping
core +1 more source
Commutators and Anti-Commutators of Idempotents in Rings
We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
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Technical note: Finite element formulations to map discrete fracture elements in three-dimensional groundwater models [PDF]
Typically, 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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Refinements of Kantorovich Inequality for Hermitian Matrices
Some new Kantorovich-type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results.
Feixiang Chen
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Computing the nearest stable matrix pairs [PDF]
In this paper, we study the nearest stable matrix pair problem: given a square matrix pair (E,A), minimize the Frobenius norm of (ΔE,ΔA) such that (E+ΔE,A+ΔA) is a stable matrix pair.
Nicolas Gillis+2 more
semanticscholar +1 more source
Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu+11 more
wiley +1 more source
Stationarity and Invertibility of a Dynamic Correlation Matrix [PDF]
One of the most widely-used multivariate conditional volatility models is the dynamic conditional correlation (or DCC) specification. However, the underlying stochastic process to derive DCC has not yet been established, which has made problematic the derivation of asymptotic properties of the Quasi-Maximum Likelihood Estimators (QMLE). To date, the
Christian M. Hafner, Michael McAleer
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