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2. Positive semidefinite - Wikipedia

   en.wikipedia.org/wiki/Positive_semidefinite

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3. Definite matrix - Wikipedia

   en.wikipedia.org/wiki/Definite_matrix

   In mathematics, a symmetric matrix with real entries is positive-definite if the real number is positive for every nonzero real column vector , where is the row vector transpose of . [1] More generally, a Hermitian matrix (that is, a complex matrix equal to its conjugate transpose) is positive-definite if the real number is positive for every nonzero complex column vector , where denotes the ...

4. Positive-definite kernel - Wikipedia

   en.wikipedia.org/wiki/Positive-definite_kernel

   In operator theory, a branch of mathematics, a positive-definite kernel is a generalization of a positive-definite function or a positive-definite matrix.It was first introduced by James Mercer in the early 20th century, in the context of solving integral operator equations.

5. Schur product theorem - Wikipedia

   en.wikipedia.org/wiki/Schur_product_theorem

   In mathematics, particularly in linear algebra, the Schur product theorem states that the Hadamard product of two positive definite matrices is also a positive definite matrix. The result is named after Issai Schur [ 1 ] (Schur 1911, p. 14, Theorem VII) (note that Schur signed as J. Schur in Journal für die reine und angewandte Mathematik .

6. Square root of a matrix - Wikipedia

   en.wikipedia.org/wiki/Square_root_of_a_matrix

   Since L and M commute, the matrix L + M is nilpotent and I + (L + M)/2 is invertible with inverse given by a Neumann series. Hence L = M. If A is a matrix with positive eigenvalues and minimal polynomial p(t), then the Jordan decomposition into generalized eigenspaces of A can be deduced from the partial fraction expansion of p(t) −1.

7. Cancer warning labels on alcohol? It's not that simple.

   www.aol.com/news/cancer-warning-labels-alcohol...

   The country's top doctor wants a new warning added to alcohol that would alert drinkers about links to cancer, but don't expect cigarette-style warning labels any time soon.. U.S. Surgeon General ...

8. Key warning signs about bird flu are all going in the wrong ...

   www.aol.com/news/key-warning-signs-bird-flu...

   The bird flu outbreak has taken concerning turns, with more than 60 human cases confirmed. Experts outlined four signs that the virus is going in the wrong direction.

9. FDA wants new testing to detect asbestos in products with talc

   www.aol.com/fda-wants-testing-detect-asbestos...

   Manufacturers of baby powder and cosmetic products made with talc will have to test them for asbestos under a proposal announced by the U.S. Food and Drug Administration.