How to use unit matrix in a sentence? Find typical usage patterns (collocations)/phrases/context for "unit matrix" and check conjugation/comparative form for "unit matrix". Mastering all the usages of "unit matrix" from sentence examples published by news publications.
The deformed Laplacian is commonly defined as :\Delta(s) = I - sA + s^2(D - I) where I is the unit matrix, A is the adjacency matrix, and D is the degree matrix, and s is a (complex-valued) number. The standard Laplacian is just \Delta(1).
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Initialise matrix Phi as a 'unit matrix'. Define J as > the 'inertia matrix' of Spc01. Compute matrix J2 as the inverse of J. > Compute position velocity error Ve and angular velocity error Oe from > dynamical state X, guidance reference Xnow. Define the joint sliding surface > G2 from the position velocity error Ve and angular velocity error Oe using > the surface weights Alpha.
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Let γμ denote a set of four 4-dimensional gamma matrices, here called the Dirac matrices. The Dirac matrices satisfy where } is the anticommutator, is a unit matrix, and is the spacetime metric with signature (+,-,-,-). This is the defining condition for a generating set of a Clifford algebra. Further basis elements of the Clifford algebra are given by Only six of the matrices are linearly independent.
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If the entries on the main diagonal of a (upper or lower) triangular matrix are all 1, the matrix is called (upper or lower) unitriangular. Other names used for these matrices are unit (upper or lower) triangular, or very rarely normed (upper or lower) triangular. However, a unit triangular matrix is not the same as the unit matrix, and a normed triangular matrix has nothing to do with the notion of matrix norm. All unitriangular matrices are unipotent.
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But M will never be used in the calculations. Instead we use the matrix W defined by WWT = M. Thus, we have y = Wg, where g is normally distributed with the moment matrix μU, and U is the unit matrix. W and WT may be updated by the formulas : W = (1 – b)W + bygT and WT = (1 – b)WT \+ bgyT because multiplication gives : M = (1 – 2b)M + 2byyT, where terms including b2 have been neglected. Thus, M will be indirectly adapted with good approximation.
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Given two non-commutable matrices x and y : xy - yx = z satisfy the quasi-commutative property whenever z satisfies the following properties: : xz = zx : yz = zy An example is found in the matrix mechanics introduced by Heisenberg as a version of quantum mechanics. In this mechanics, p and q are infinite matrices corresponding respectively to the momentum and position variables of a particle. These matrices are written out at Matrix mechanics#Harmonic oscillator, and z = iħ times the infinite unit matrix, where ħ is the reduced Planck constant.
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