Results 21 to 30 of about 21,096,303 (314)
The combinatorially symmetric P-matrix completion problem
An \(n\times n\) real matrix is called a \(P\)-matrix if all its principal minors are positive. The \(P\)-matrix completion problem asks which partial \(P\)-matrices have a completion to a \(P\)-matrix. The authors prove that every partial \(P\)-matrix with combinatorially symmetric specified entries has a \(P\)-matrix completion.
Johnson, Charles R, Kroschel, Brenda K
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Correlation of Matrix Metalloproteinases and Tissue Inhibitors of Matrix Metalloproteinase Expression in Ileal Carcinoids, Lymph Nodes and Liver Metastasis with Prognosis and Survival [PDF]
Purpose: Ileal carcinoids are gut epithelial tumors originating from serotonin-containing enterochromaffin (EC) cells. Therapeutic options for effectively inhibiting the growth and spread of metastatic carcinoids are still limited.
Braun, Thomas +9 more
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On some properties of P-matrix sets
AbstractA nonempty set %plane1D;49E; in ℝn×n is said to have the row-P-property if every row representative of %plane1D;49E; is a P-matrix. We show that this property is equivalent to saying that for every nonzero x in ℝn there is an index i with x1(Mx)1 > 0 for all M∈%plane1D;49E;.
Song, Yoon +2 more
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The almost semimonotone matrices
A (strictly) semimonotone matrix A ∈ ℝn×n is such that for every nonzero vector x ∈ ℝn with nonnegative entries, there is an index k such that xk > 0 and (Ax)k is nonnegative (positive).
Wendler Megan
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Due to their positive properties, AMC materials represent a current trend in industrial applications and thus a major research focus. But currently their difficult machinability limits a full establishment.
M. Winkler +4 more
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Spectra of matrices with P-matrix powers
Let A be an \(n\times n\) matrix with all powers having all principal minors positive. It is not known if these conditions force the eigenvalues of A to be all positive. The authors prove that conclusion for \(n\leq 4\), and show in general that the eigenvalues of A with the same absolute value form the vertices of a regular polygon of odd order, with ...
Hershkowitz, Daniel, Johnson, Charles R.
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Multistep Transformations of DNA Origami Domino Array via Mechanical Forces
Nanostructures that display controllable motions and functions are indispensable to build molecular nanomachines. Structural DNA nanotechnology, enabling precise design of complex static and dynamic structures, can be used to construct molecular ...
Yan Liu +8 more
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P-matrix completions under weak symmetry assumptions
An \(n\times n\) matrix is called a \(\Pi\)-matrix if it is one of (weakly) sign-symmetric, positive, nonnegative \(P\)-matrix, (weakly) sign-symmetric, positive, nonnegative \(P_{0,1}\)-matrix, or Fischer, or Koteljanskii matrix. The paper deals with the \(\Pi\)-matrix completion problems, that is, when a partial \(\Pi\)-matrix has a \(\Pi\)-matrix ...
Fallat, Shaun M. +3 more
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Head and neck cancer patients treated with irradiation often present irreversible salivary gland hypofunction for which no conventional treatment exists.
Joao N.A. Ferreira +7 more
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The paper reviews the preparation of the different metallic nanocomposites. In the preparation of composites, especially in the case of nanocomposites, interfacial phenomena play an important role.
Peter Baumli
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