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Area of parallelogram spanned by two vectors
Parallelogram Area As depicted in figure, one can see that the area of a parallelogram spanned by two vectors is computed from the base times height. In the figure was picked as the base, with length ....
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Newton’s method for intersection of curves in a plane.
[Click here for a PDF of this post with nicer formatting]Note that this PDF file is formatted in a wide-for-screen layout that is probably not good for printing. Motivation. Reading the blog post...
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Multivector commutators and Lorentz boosts.
[Click here for a PDF of this post with nicer formatting] Motivation. In some reading there I found that the electrodynamic field components transform in a reversed sense to that of vectors, where...
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Vector form of Julia fractal
[Click here for a PDF of this post with nicer formatting] Motivation. As outlined in [1], 2-D and N-D Julia fractals can be computed using the geometric product, instead of complex numbers. Explore a...
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Exploring Stokes Theorem in tensor form.
[Click here for a PDF of this post with nicer formatting] Motivation. I’ve worked through Stokes theorem concepts a couple times on my own now. One of the first times, I was trying to formulate this in...
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Geometric Algebra. The very quickest introduction.
[Click here for a PDF of this post with nicer formatting.] Motivation. An attempt to make a relatively concise introduction to Geometric (or Clifford) Algebra. Much more complete introductions to the...
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Putting the stress tensor (and traction vector) into explicit vector form.
[Click here for a PDF of this post with nicer formatting (especially if my latex to wordpress script has left FORMULA DOES NOT PARSE errors.)] Motivation. Exersize 6.1 from [1] is to show that the...
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Plane wave solutions of Maxwell’s equation using Geometric Algebra
[Click here for a PDF of this post with nicer formatting] Motivation Study of reflection and transmission of radiation in isotropic, charge and current free, linear matter utilizes the plane wave...
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New post of phy487 notes (Condensed Matter Physics)
Here’s an update of my (incomplete) lecture notes for the Winter 2013, University of Toronto Condensed Matter Physics course (PHY487H1F), taught by Prof. Stephen Julian. This makes updates to these...
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Final update of notes for PHY487 (condensed matter physics)
Here is what will likely be the final update of my class notes from Winter 2013, University of Toronto Condensed Matter Physics course (PHY487H1F), taught by Prof. Stephen Julian. Official course...
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