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  2. Gram matrix - Wikipedia

    en.wikipedia.org/wiki/Gram_matrix

    The Gram matrix is symmetric in the case the inner product is real-valued; it is Hermitian in the general, complex case by definition of an inner product. The Gram matrix is positive semidefinite, and every positive semidefinite matrix is the Gramian matrix for some set of vectors. The fact that the Gramian matrix is positive-semidefinite can ...

  3. Euclidean distance matrix - Wikipedia

    en.wikipedia.org/wiki/Euclidean_distance_matrix

    The Gram matrix of a sequence of points ,, …, in k-dimensional space ℝ k is the n×n matrix = of their dot products (here a point is thought of as a vector from 0 to that point):

  4. Hadamard's maximal determinant problem - Wikipedia

    en.wikipedia.org/wiki/Hadamard's_maximal...

    The matrix G is the usual Gram matrix of a set of vectors, derived from the set of rows of R, while G′ is the Gram matrix derived from the set of columns of R. A matrix R for which G = G′ is a normal matrix. Every known maximal-determinant matrix is equivalent to a normal matrix, but it is not known whether this is always the case.

  5. 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.

  6. Conjugate transpose - Wikipedia

    en.wikipedia.org/wiki/Conjugate_transpose

    Thus, an matrix of complex numbers could be well represented by a matrix of real numbers. The conjugate transpose, therefore, arises very naturally as the result of simply transposing such a matrix—when viewed back again as an n × m {\displaystyle n\times m} matrix made up of complex numbers.

  7. Matrix (chemical analysis) - Wikipedia

    en.wikipedia.org/wiki/Matrix_(chemical_analysis)

    A(standard) is the peak area of analyte in the absence of matrix. The concentration of analyte in both standards should be the same. A matrix effect value close to 100 indicates absence of matrix influence. A matrix effect value of less than 100 indicates suppression, while a value larger than 100 is a sign of matrix enhancement.

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  9. List of human blood components - Wikipedia

    en.wikipedia.org/wiki/List_of_human_blood_components

    In whole blood (g/cm 3) In plasma or serum (g/cm 3) Water: Solvent 0.81-0.86 0.93-0.95 Acetoacetate: Produced in liver 8-40 × 10 −7: 4-43 × 10 −7: Acetone: product of bodyfat breakdown 3-20 × 10 −6: Acetylcholine: Neurotransmitter of the parasympathetic nervous system: 6.6-8.2 × 10 −8: Adenosine triphosphate: Energy storage total 3. ...