Keywords: Orthonormal Basis (11)

save
save to

Please log in to save materials.

selected filters:
Fourier Analysis in Complex Spaces

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:
Readings
Syllabi
Collection:
Connexions
Provider:
Rice University
Author:
Justin Romberg
Michael Haag
No Strings Attached
Mathematics for Materials Scientists and Engineers, Fall 2003

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
Remix and Share
Mathematics for Materials Scientists and Engineers, Fall 2005

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
Remix and Share
Orthonormal Basis Expansions

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:
Readings
Syllabi
Collection:
Connexions
Provider:
Rice University
Author:
Justin Romberg
Michael Haag
No Strings Attached
2002 llaF ,gnivloS melborP gnireenignE dna sretupmoC ot noitcudortnI

2002 llaF ,gnivloS melborP gnireenignE dna sretupmoC ot noitcudortnI

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

.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni smelborp gnivlos rof seuqinhcet gnipoleved no si sisahpmE .scipot decnavda detceles dna scihparg retupmoc ,gnihcraes dna gnitros ,serutcurts atad ,sdohtem laciremun ,secafretni resu lacihparg ,stpecnoc gnimmargorp revoc smelborp gnimmargorp ylkeeW .esruoc eht fo sucof eht si tnempoleved dna ngised erawtfos detneiro-tcejbO .snoitacilppa cifitneics dna gnireenigne rof sdohtem lanoitatupmoc dna tnempoleved erawtfos latnemadnuf stneserp esruoc sihT (less)

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
Remix and Share