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[1] Eigenvectors and Eigenvalues
[1] Eigenvectors and Eigenvalues

Lecture note Week4
Lecture note Week4

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SECOND-ORDER VERSUS FOURTH
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... Direction finding techniques are usually based on the 2ndorder statistics of the received data. In this paper, we propose a MUSIC-like direction finding algorithm which uses a matrix-valued statistic based on the contraction of the 4thorder cumulant tensor of the array data (4-2 MUSIC). We then deri ...
Matrix and Vector Algebra
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Precalculus and Advanced Topics Module 1
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... students develop the 2 × 2 matrix notation for planar transformations represented by complex number arithmetic. This work sheds light on how geometry software and video games efficiently perform rigid motion calculations. Finally, the flexibility implied by 2 × 2 matrix notation allows students to s ...
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Configurational forces in dynamics and electrodynamics

Quotient spaces defined by linear relations
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... Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This document has been digitized, optimized for electronic delivery and stamped with digital signature w ...
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DEPARTMENT OF MATHEMATICS 2008 B.A./B.Sc.

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Exam 2 topics list

Differential Geometry of Curves and Surfaces
Differential Geometry of Curves and Surfaces

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Homework assignment on Rep Theory of Finite Groups

Approximating sparse binary matrices in the cut
Approximating sparse binary matrices in the cut

... get a cut decomposition so that the cut norm of the matrix W is at most m. How large should k be in this case ? The case of binary matrices arises naturally when considering adjacency matrices of bipartite or general graphs, and the sparse case in which m = o(n2 ) is thus interesting. The first ca ...
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Online Appendix A: Introduction to Matrix Computations

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Week Three True or False

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< 1 ... 98 99 100 101 102 103 104 105 106 ... 214 >

Four-vector

In the theory of relativity, a four-vector or 4-vector is a vector in Minkowski space, a four-dimensional real vector space. It differs from a Euclidean vector in how its magnitude is determined. The transformations that preserve this magnitude are the Lorentz transformations, which include spatial rotations, boosts (a change by a constant velocity to another inertial reference frame), and temporal and spatial inversions. Regarded as a homogeneous space, the transformation group of Minkowski space is the Poincaré group, which adds to the Lorentz group the group of translations. The Lorentz group may be represented by 4×4 matrices.The article considers four-vectors in the context of special relativity. Although the concept of four-vectors also extends to general relativity, some of the results stated in this article require modification in general relativity.
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