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- Animation of 3-Sphere. Three dimensional polar coordinate planes of Theta(1,2,3) are plotted with the value of Theta3 stepping ...
- How do you convert Geometry into Algebra using Tensors? Geometric triangles and quadraiaterals can be derived from ...
- Find the Covariant and Contravariant Components of a Vector in a 2-dimensional Euclidean Space using basic geometry.
- Getting the wedge product and exterior algebra from consideration of humble triangles in the Euclidean plane. Parity and ...
- An arbitrary triangle of sides A,B,C is converted into a tensor. The tensor is anti-symmetric, so it can be written as a wedge product ...
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Converting Geometry into Algebra. A walk through some interesting Mathematical Objects and Concepts: Wedge Product, Exterior ... How to find coordinate transformation equations from basis vectors. How to find the components of the metric tensor in any ... UPDATED February 24, 2013: In this video we complete the construction of the exterior algebra of an n-dimensional linear space ... A walk through of a low level brute force calculation of the covariant derivative on the three sphere. This video narrates over the ...
The Exterior Algebra of a linear space (vector space) is also known as the Grassmann Algebra, and sometimes as the Multi-vector ...
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