pure imaginary eigenvalue

  • 1Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… …

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  • 2Tachyon — A tachyon (from the Greek polytonic|ταχυόνιον, takhyónion , from polytonic|ταχύς, takhýs , i.e. swift, fast) is any hypothetical particle that travels at faster than light speed. The first description of tachyons is attributed to German physicist …

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  • 3Hilbert–Pólya conjecture — In mathematics, the Hilbert–Pólya conjecture is a possible approach to the Riemann hypothesis, by means of spectral theory.Initial hunchesDavid Hilbert and George Pólya speculated that real number values of t such that : frac12 + it is a zero of… …

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  • 4Skew-symmetric matrix — In linear algebra, a skew symmetric (or antisymmetric) matrix is a square matrix A whose transpose is also its negative; that is, it satisfies the equation:: A T = − A or in component form, if A = ( a ij ):: a ij = − a ji for all i and j .For… …

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  • 5Diabatic — See also adiabatic process, a concept in thermodynamics A diabatic process is one in which heat transfer takes place, which is the opposite of an adiabatic process.[1] In quantum chemistry, the potential energy surfaces are obtained within the… …

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  • 6Explicit formulae (L-function) — In mathematics, the explicit formulae for L functions are a class of summation formulae, expressing sums taken over the complex number zeroes of a given L function, typically in terms of quantities studied by number theory by use of the theory of …

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  • 7Matrix mechanics — Quantum mechanics Uncertainty principle …

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  • 8Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …

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  • 9LTI system theory — or linear time invariant system theory is a theory in the field of electrical engineering, specifically in circuits, signal processing, and control theory, that investigates the response of a linear, time invariant system to an arbitrary input… …

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  • 10Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …

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