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3704 results for: "Mathematics and Statistics" (subject)
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Vector Spaces (m10767)
Keywords: complex vector spaces, linear function spaces, real vector spaces, vector, vector space, vector spaces
Summary: This module will define what a vector space is and provide useful examples to the reader.
Subject: Mathematics and Statistics
Language: English
Popularity: 88.13%
Revised: 2010-07-29
Revisions: 7
Rating: Not yet rated
Uniform Convergence of Function Sequences (m10895)
Keywords: converge, convergence, converges, function sequences, sequences, uniform, uniform convergence
Summary: Another form of convergence, uniform convergence, is defined and described in this module. Also, its relationship to pointwise convergence is also shown.
Subject: Mathematics and Statistics
Language: English
Popularity: 93.81%
Revised: 2010-07-29
Revisions: 8
Rating: Not yet rated
Types of Bases (m10772)
Keywords: basis, delta function, fourier series, hilbert space, kronecker, normalized, normalized basis, orthogonal, orthogonal basis, orthonormal, orthonormal basis, vector space, vector spaces
Summary: This module discusses the different types of basis that leads up to the definition of an orthonormal basis. Examples are given and the useful of the orthonormal basis is discussed.
Subject: Mathematics and Statistics
Language: English
Popularity: 79.66%
Revised: 2010-07-29
Revisions: 8
Rating: Not yet rated
The Z Transform: Definition (m10549)
Keywords: Fourier transform, ROC, z-transform
Summary: A brief definition of the z-transform, explaining its relationship with the Fourier transform and its region of convergence, ROC.
Subject: Mathematics and Statistics
Language: English
Popularity: 99.05%
Revised: 2010-07-29
Revisions: 11
Rating: Not yet rated
Symmetry Properties of the Fourier Series (m10838)
Keywords: even signal, fourier, fourier series, odd signal, properties, symmetry, symmetry properties, symmetry property
Summary: This module looks at the different symmetry properties of the fourier series and its fourier coefficients.
Subject: Mathematics and Statistics
Language: English
Popularity: 88.03%
Revised: 2010-07-29
Revisions: 6
Rating: Not yet rated
Plancharel and Parseval's Theorems (m10769)
Keywords: Parseval, Plancharel
Summary: This module contains the definition of the Plancharel theorem and Parseval's theorem along with proofs and examples.
Subject: Mathematics and Statistics
Language: English
Popularity: 89.59%
Revised: 2010-07-29
Revisions: 8
Rating: Not yet rated
Norms (m10768)
Keywords: Euclidean norm, norm, normalization, normed linear space, normed vector space, norms
Summary: This module will define a norm and give examples and properties of it.
Subject: Mathematics and Statistics
Language: English
Popularity: 82.19%
Revised: 2010-07-29
Revisions: 7
Rating: Not yet rated
Orthonormal Basis Expansions (m10760)
Keywords: basis, basis matrix, coefficient vector, decompose, hilbert, hilbert spaces, orthonormal, orthonormal basis, standard basis
Summary: The module looks at decomposing signals through orthonormal basis expansion to provide an alternative representation. The module presents many examples of solving these problems and looks at them in several spaces and dimensions.
Subject: Mathematics and Statistics
Language: English
Popularity: 89.86%
Revised: 2010-07-29
Revisions: 7
Rating: Not yet rated
Matrix Equation for the DTFS (m10771)
Author: Roy Ha
Keywords: basis, discrete-time, discrete time fourier series, dtfs, fourier, fourier series, matrix equation, standard basis
Summary: This module looks at writing our DTFS equations in matrix form to make calculations and displaying the basis easier.
Subject: Mathematics and Statistics
Language: English
Popularity: 73.31%
Revised: 2010-07-29
Revisions: 8
Rating: Not yet rated
Common Hilbert Spaces (m10759)
Keywords: hilbert, hilbert space, hilbert spaces, normed space, vector space, vector spaces
Summary: This module will give an overview of the most common Hilbert spaces and their basic properties.
Subject: Mathematics and Statistics
Language: English
Popularity: 77.13%
Revised: 2010-07-29
Revisions: 8
Rating: Not yet rated
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