Difference between revisions of "Geometric algebra"
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| − | + | '''Outline''' | |
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| + | ''A unifying mathematical formalism for science'' | ||
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As the main approach inherent in this project involved the use of rotations in Geometric Algebra, we were required to learn the basics of GA with the help of Dr James Chapel. James graciously provided us with his personal powerpoint slides that proved to be an invaluable resource in learning the new materiala as well as a brief worksheet to test your knowledge on GA. Both are provided below. | As the main approach inherent in this project involved the use of rotations in Geometric Algebra, we were required to learn the basics of GA with the help of Dr James Chapel. James graciously provided us with his personal powerpoint slides that proved to be an invaluable resource in learning the new materiala as well as a brief worksheet to test your knowledge on GA. Both are provided below. | ||
[[Media:GASlides.pdf|Intro to Clifford's Geometric Algebra]] & [[Media:GAWorksheet.pdf|Worksheet #1 in Geometric Algebra]] | [[Media:GASlides.pdf|Intro to Clifford's Geometric Algebra]] & [[Media:GAWorksheet.pdf|Worksheet #1 in Geometric Algebra]] | ||
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| + | The following description/brief introduction to the fundamental elements of GA is a combination of James' two documents above and numerous other sources. | ||
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| + | ''"...it is a good thing to have two ways of looking at a subject, and to admit that there are two ways of looking at it.” James Clerk Maxwell '' | ||
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| + | ==Geometric Algebra Intro== | ||
==How we used it?== | ==How we used it?== | ||
Revision as of 09:50, 28 October 2013
Outline
A unifying mathematical formalism for science
As the main approach inherent in this project involved the use of rotations in Geometric Algebra, we were required to learn the basics of GA with the help of Dr James Chapel. James graciously provided us with his personal powerpoint slides that proved to be an invaluable resource in learning the new materiala as well as a brief worksheet to test your knowledge on GA. Both are provided below.
Intro to Clifford's Geometric Algebra & Worksheet #1 in Geometric Algebra
The following description/brief introduction to the fundamental elements of GA is a combination of James' two documents above and numerous other sources.
"...it is a good thing to have two ways of looking at a subject, and to admit that there are two ways of looking at it.” James Clerk Maxwell
Geometric Algebra Intro
How we used it?
Resources
Our Work
See also
- Timing-based key agreement
- Timing Based Encryption: Test Case 1
- Timing Based Encryption: Test Case 2
- Timing Based Encryption: Test Case 3
- Timing Based Encryption: Test Case 4
- Timing Based Encryption: Test Case 5
- Geometric Algebra
- CLUViz Geometric Algebra Animation Software
- Secure communications without key exchange (main page)
- Secure communications without key exchange? 2013 weekly progress
- Proposal Seminar 2013: Secure communications without key exchange?
- Final Seminar 2013: Secure communications without key exchange?
- Semester A Progress Report 2013 - Secure communications without key exchange?
- Semester B Final Report 2013 - Secure communications without key exchange? 2013
- YouTube Videos
