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- Finding the Metric Tensor on the Three Spere a Fast and Easy Way. Thinking geometrically and using a coordinate system that ...
- Exploring geometry in higher dimensions. Finding the volume of a four dimensional sphere is a good place to start. We generalize ...
- INTRO to Tensor Algebra, Exterior Algebra, Exterior Power Spaces, Construction of 2D and 3D Rotation Operators, Rotations as ...
- Manifolds Part 3 The Microscopic Structure of Manifolds. Linear spaces (or vector spaces) of points in the Cartesian product space ...
- We discuss some fundamental mathematical objects and related functions. Some basic set theory, the cardinality function, and we ...
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Properties of objects in higher dimensions, Integration, the N-Sphere, Summation over dimensions, Unique properties of ... Formula for the volume of an even dimensional sphere is found using a summation formula. Homework problem: Prove the sum ... To explain why I'm uploading this, I'm currently working on a video that I teased once in my community posts but it has been a ... How do I get the Christoffels or Connection Coefficients on the Three Sphere? A FIVE STEP Battle Plan is Developed in order to ...
Where we complete the Systematic Battle Plan to evaluate the Christoffel Symbols on the 3 Sphere in Bi-polar Right Handed ...
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