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Matrix Transformations on Köthe Spaces
Results in Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Generalized Orthogonal Transformation Matrix
IEEE Transactions on Computers, 1979A procedure is described for generating a two-parameter orthogonal transformation matrix which reduces to the Fourier and Hadamard transformation matrices under special conditions. This generalized transformation matrix is particularly useful for multidimensional signal processing on a real-time basis because it preserves a proper relationship in the ...
Cheng, David K., Liu, James J.
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Canonical Transformations and Matrix Elements
Journal of Mathematical Physics, 1971We use the ideas on linear canonical transformations developed previously to calculate the matrix elements of the multipole operators between single-particle states in a three-dimensional oscillator potential. We characterize first the oscillator states in the chain of groups Sp(6)⊃Sp(2)×O(3), Sp(2)⊃OS(2), and O(3)⊃OL(2), and then expand the multipole ...
Quesne, Christiane, Moshinsky, Marcos
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Homogeneous Transformation Matrix
2015The transformation of frames is a fundamental concept in the modeling and programming of a robot. In this Chapter, we present a notation that allows us to describe the relationship between different frames and objects of a robotic cell. This notation, called homogeneous transformation, has been widely used in computer graphics to compute the ...
Sébastien Briot, Wisama Khalil
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Pericellular Matrix in Malignant Transformation
1982Publisher Summary This chapter describes the properties of the major defined matrix components, and considers their role for the cell phenotype. The principal function of the matrix is to give mechanical support and to anchor cells in tissue type-specific structures, but it may also have other duties, such as that of a selective permeability barrier.
K, Alitalo, A, Vaheri
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2012
Cartesian coordinates provide a one-to-one relationship between number and shape, such that when we change a shape’s coordinates, we transform its geometry. In computer games and animation, the most widely used transforms include scaling, translation, rotation, shearing and reflection.
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Cartesian coordinates provide a one-to-one relationship between number and shape, such that when we change a shape’s coordinates, we transform its geometry. In computer games and animation, the most widely used transforms include scaling, translation, rotation, shearing and reflection.
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2015
Geometric matrix transforms are an intuitive way of defining and building geometric operations such as scale, translate, reflect, shear and rotate. In 2D, such operations are generally associated with images and text, and widely used in internet browsers, image-processing software, smart phones and watches.
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Geometric matrix transforms are an intuitive way of defining and building geometric operations such as scale, translate, reflect, shear and rotate. In 2D, such operations are generally associated with images and text, and widely used in internet browsers, image-processing software, smart phones and watches.
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Differentiating matrix orthogonal transformations
Computational Mathematics and Mathematical Physics, 2015The authors develop two methods for differentiation matrix orthogonal transformations. The article focuses on applications to the Riccati sensitivity equation and the first method uses the matrix square root over its inputs to find the solution to the discrete-time Riccati equation.
Kulikova, M. V., Tsyganova, Yu. V.
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A new method of matrix transformation. I. Matrix diagonalizations via involutional transformations
Journal of Mathematical Physics, 1979It is shown that two matrices A and B of order n×n which satisfy a monic quadratic equation with two roots λ1 and λ2 are connected by ATAB=TABB where TAB=A+B−(λ1+λ2) I with I being the n×n unit matrix (Theorem 1). The condition for TAB to be involutional is that the anticommutator of ?=A−(1/2)(λ1+λ2) I and ?=B−(1/2)(λ1+λ2) is a c number (Theorem 2).
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Spectral Density Matrix Transformations
Journal of the IEST, 2017Abstract Reference criteria for a multiple degree-of-freedom (MDOF) random vibration test is generally provided in terms of an acceleration-based spectral density matrix (SDM). This SDM may be developed in terms of the auto-spectral densities (ASDs) and cross-spectral densities (CSDs) computed from the time histories acquired from an ...
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