# Keywords: Orthonormal Basis (11)

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# Fourier Analysis in Complex Spaces

This module derives the Discrete-Time Fourier Series (DTFS), which is a fourier ... (more)

This module derives the Discrete-Time Fourier Series (DTFS), which is a fourier series type expansion for discrete-time, periodic functions. The module also takes some time to review complex sinusoids which will be used as our basis. (less)

Subject:
Mathematics and Statistics
Science and Technology
Material Type:
Syllabi
Collection:
Connexions
Provider:
Rice University
Author:
Justin Romberg
Michael Haag
No Strings Attached

# Linear Algebra: Coordinates with Respect to Orthonormal Bases

This 15-minute video lesson sees that orthonormal bases make for good coordinate ... (more)

This 15-minute video lesson sees that orthonormal bases make for good coordinate systems. (less)

Subject:
Mathematics and Statistics
Material Type:
Video Lectures
Collection:
Provider:
Author:
Khan, Salman
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# Linear Algebra: Finding Projection Onto Subspace with Orthonormal Basis Example

This 7-minute video lesson gives an example of finding the transformation matrix ... (more)

This 7-minute video lesson gives an example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis. (less)

Subject:
Mathematics and Statistics
Material Type:
Video Lectures
Collection:
Provider:
Author:
Khan, Salman
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# Linear Algebra: Gram-Schmidt Process Example

This 13-minute video lesson uses Gram-Schmidt to find an orthonormal basis for ... (more)

This 13-minute video lesson uses Gram-Schmidt to find an orthonormal basis for a plane in R3. (less)

Subject:
Mathematics and Statistics
Material Type:
Video Lectures
Collection:
Provider:
Author:
Khan, Salman
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# Linear Algebra: Introduction to Orthonormal Bases

This 12-minute video lesson looks at sets and bases that are orthonormal ... (more)

This 12-minute video lesson looks at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other. (less)

Subject:
Mathematics and Statistics
Material Type:
Video Lectures
Collection:
Provider:
Author:
Khan, Salman
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# Linear Algebra: Projections Onto Subspaces with Orthonormal Bases

This 16-minute video lesson looks at projections onto subspaces with orthonormal bases.

Subject:
Mathematics and Statistics
Material Type:
Video Lectures
Collection:
Provider:
Author:
Khan, Salman
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# Linear Algebra: The Gram-Schmidt Process

This 19-minute video lesson finds an orthonormal basis for a subspace using ... (more)

This 19-minute video lesson finds an orthonormal basis for a subspace using the Gram-Schmidt Process. (less)

Subject:
Mathematics and Statistics
Material Type:
Video Lectures
Collection:
Provider:
Author:
Khan, Salman
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# Mathematics for Materials Scientists and Engineers, Fall 2003

The class will cover mathematical techniques necessary for understanding of materials science ... (more)

The class will cover mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from 3.012 to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, fourier analysis and random walks. (less)

Subject:
Science and Technology
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Other
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Carter, W. Craig
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# Mathematics for Materials Scientists and Engineers, Fall 2005

This course covers the mathematical techniques necessary for understanding of materials science ... (more)

This course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses (3.012 and 3.014) to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis. Users may find additional or updated materials at Professor Carter's 3.016 course Web site. (less)

Subject:
Mathematics and Statistics
Science and Technology
Material Type:
Activities and Labs
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Carter, W. Craig
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# Orthonormal Basis Expansions

The module looks at decomposing signals through orthonormal basis expansion to provide ... (more)

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. (less)

Subject:
Mathematics and Statistics
Science and Technology
Material Type:
Syllabi
Collection:
Connexions
Provider:
Rice University
Author:
Justin Romberg
Michael Haag
No Strings Attached

# Types of Basis

This module discusses the different types of basis that leads up to ... (more)

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. (less)

Subject:
Mathematics and Statistics
Material Type:
Syllabi
Collection:
Connexions
Provider:
Rice University
Author:
Justin Romberg
Michael Haag
No Strings Attached

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.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni ... (more)

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Subject:
Science and Technology
Material Type:
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
George Kocur
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