Results 71 to 80 of about 3,133,998 (302)
On similarity of an arbitrary matrix to a block diagonal matrix
Filomat, 2021 Let an n x n -matrix A have m < n (m ? 2) different eigenvalues ?j of the algebraic multiplicity ?j (j = 1,..., m). It is proved that there are ?j x ?j-matrices Aj, each of which has a unique eigenvalue ?j, such that A is similar to the block-diagonal matrix ?D = diag (A1,A2,..., Am). I.e. there is an invertible matrix T, such that T-1AT
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Going viral − Virus‐targeting nanobodies for research, diagnostics and therapy
FEBS Letters, EarlyView.The increasing prevalence of viral diseases represents a major threat for global human health. Nanobodies, small binding fragments derived from camelid heavy‐chain antibodies, offer versatile tools for viral research, diagnostics, and antiviral therapy.
Domenic Ebert, Ulrich Rothbauer
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Representations for the Drazin inverses of block matrices
MATEC Web of Conferences, 2016 In this paper, we investigate representations of the Drazin inverse of a 2 × 2 block matrix. The Drazin inverse of a matrix is very important in various applied mathematical fields like machinery and automation, singular differential equations. We give a
Guo Li, Wang Jie, Du Wenming
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FEBS Letters, EarlyView.Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana +3 more
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Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications [PDF]
Applications of Mathematics, 2017 Two-by-two block matrices of special form with square matrix blocks arise in important applications, such as in optimal control of partial differential equations and in high order time integration methods. Two solution methods involving very efficient preconditioned matrices, one based on a Schur complement reduction of the given system and one based ...
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Comparing the paths of Hedgehog release in artificial and natural settings
FEBS Letters, EarlyView.Hh morphogens require solubilization factors to overcome their tight association with the plasma membrane and signal to distant cells, but the precise functions of these factors are controversial. Here, we use published in vivo observations as the most relevant evidence to test their suggested functions and discuss contradictions and gaps between in ...
Janna Puschmann, Kay Grobe
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The Tropical Matrix Groups with Symmetric Idempotents
Discrete Dynamics in Nature and Society, 2018 In this paper we study the semigroup Mn(T) of all n×n tropical matrices under multiplication. We give a description of the tropical matrix groups containing a diagonal block idempotent matrix in which the main diagonal blocks are real matrices and other ...
Lin Yang
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Likelihood Ratio Test for the Hyper-Block Matrix Sphericity Covariance Structure
Revstat Statistical Journal, 2018 In this paper the authors introduce the hyper-block matrix sphericity test which is a generalization of both the block-matrix and the block-scalar sphericity tests and as such also of the common sphericity test. This test is a tool of crucial importance
Bárbara R. Correia +2 more
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Block circulant matrices and the spectra of multivariate stationary sequences
Special Matrices, 2021 Given a weakly stationary, multivariate time series with absolutely summable autocovariances, asymptotic relation is proved between the eigenvalues of the block Toeplitz matrix of the first n autocovariances and the union of spectra of the spectral ...
Bolla Marianna +3 more
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The role of miR‐335‐5p in the redifferentiation of BRAF p.V600E thyroid cancers
Molecular Oncology, EarlyView.The BRAF p.V600E mutation promotes thyroid cancer dedifferentiation and radioiodine resistance. Using a network approach, we identified miR‐335‐5p as a key regulator of BRAF‐mutated thyroid tumors. Restoring miR‐335‐5p increased thyroid‐specific gene expression and iodine uptake in cells and organoids.
Valeria Pecce +11 more
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