Deciphering core phyllomicrobiome assemblage on rice genotypes grown in contrasting agroclimatic zones: implications for phyllomicrobiome engineering against blast disease. [PDF]
Sahu KP+10 more
europepmc +1 more source
Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun+2 more
doaj +1 more source
On the spectrum of tridiagonal matrices with two-periodic main diagonal
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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Automated seizure onset zone locator from resting-state functional MRI in drug-resistant epilepsy. [PDF]
Banerjee A+5 more
europepmc +1 more source
Lih Wang's and Dittert's conjectures on permanents
Let Ωn{\Omega }_{n} denote the set of all doubly stochastic matrices of order nn. Lih and Wang conjectured that for n≥3n\ge 3, per(tJn+(1−t)A)≤t\left(t{J}_{n}+\left(1-t)A)\le tperJn+(1−t){J}_{n}+\left(1-t)perAA, for all A∈ΩnA\in {\Omega }_{n} and all t ...
Udayan Divya K.+1 more
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Zeros distribution and interlacing property for certain polynomial sequences
In this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
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Four-point condition matrices of edge-weighted trees
Formulas for the determinant of distance matrix DT{D}_{T} of tree TT are known in the unweighted case and in the case when the edges of TT have commuting variable weights. Associated with the four-point condition (4PC) and a tree TT are two matrices, the
Azimi Ali+3 more
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Some generalizations of inequalities for sector matrices. [PDF]
Yang C, Lu F.
europepmc +1 more source
Cohort Profile: The Puberty Cohort in the Danish National Birth Cohort (DNBC). [PDF]
Ernst A+10 more
europepmc +1 more source
Some results of Heron mean and Young's inequalities. [PDF]
Yang C, Ren Y.
europepmc +1 more source