Comments on: W. K. Clifford: The Geometry of Physics
https://galileospendulum.org/2011/12/19/w-k-clifford-the-geometry-of-physics/
The Pendulum is Mightier Than the SwordTue, 09 Apr 2013 14:55:46 -0400
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By: Talk mathy to me: what’s the square root of i? | Galileo's Pendulum
https://galileospendulum.org/2011/12/19/w-k-clifford-the-geometry-of-physics/#comment-8039
Tue, 09 Apr 2013 14:55:46 +0000http://galileospendulum.org/?p=2119#comment-8039[…] For hints on how to define rotations in a more rigorous way, see my earlier posts on quaternions, Clifford algebras, and complex numbers. I was attempting to use an analogy to clarify how we can understand the phase […]
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By: Irish mathematics for St. Patrick’s Day | Galileo's Pendulum
https://galileospendulum.org/2011/12/19/w-k-clifford-the-geometry-of-physics/#comment-7361
Sun, 17 Mar 2013 15:31:58 +0000http://galileospendulum.org/?p=2119#comment-7361[…] later mathematical work of Hermann Grassmann, William Kingdon Clifford, and many others arose thanks to Hamilton’s efforts. It’s not terribly far-fetched to […]
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By: Imaginary Numbers are Real « Galileo's Pendulum
https://galileospendulum.org/2011/12/19/w-k-clifford-the-geometry-of-physics/#comment-3063
Sat, 09 Jun 2012 15:43:25 +0000http://galileospendulum.org/?p=2119#comment-3063[…] phenomenally harder. The order of multiplication doesn’t matter, as it does with quaternions, Clifford numbers, or Grassmann numbers. In fact, for some applications like electrical engineering or the processing […]
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By: A Brief Family Tree of Some Important Math | Whiskey…Tango…Foxtrot?
https://galileospendulum.org/2011/12/19/w-k-clifford-the-geometry-of-physics/#comment-2820
Fri, 27 Apr 2012 16:11:43 +0000http://galileospendulum.org/?p=2119#comment-2820[…] W. K. Clifford: The Geometry of Physics « Galileo’s Pendulum […]
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By: Everything is Geometrical: Hermann Grassmann’s Algebra « Galileo's Pendulum
https://galileospendulum.org/2011/12/19/w-k-clifford-the-geometry-of-physics/#comment-2809
Thu, 26 Apr 2012 19:51:43 +0000http://galileospendulum.org/?p=2119#comment-2809[…] foundational to 20th century physics: non-Euclidean geometry, complex numbers, quaternions, and Clifford algebras. I doubt I’ll ever cover all of it, and of course I can only provide a very minimal […]
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By: Fear of a Math Planet « Galileo's Pendulum
https://galileospendulum.org/2011/12/19/w-k-clifford-the-geometry-of-physics/#comment-2111
Thu, 19 Jan 2012 19:39:12 +0000http://galileospendulum.org/?p=2119#comment-2111[…] I even find myself demurring sometimes about math to suit the cultural prejudices, and I’m as math-focused as can be in my physics […]
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By: Matthew R. Francis
https://galileospendulum.org/2011/12/19/w-k-clifford-the-geometry-of-physics/#comment-1748
Wed, 21 Dec 2011 21:39:05 +0000http://galileospendulum.org/?p=2119#comment-1748Actually, it’s simpler than that: if you’re in x dimensions, the total number of objects in the Clifford algebra is 2^{x}. (That includes the real numbers, by the way.)
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By: dimitri snowden
https://galileospendulum.org/2011/12/19/w-k-clifford-the-geometry-of-physics/#comment-1747
Wed, 21 Dec 2011 21:24:03 +0000http://galileospendulum.org/?p=2119#comment-1747Simply put, its the the fibonacci sequence at its best!
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