Media Summary: The second fundamental form is shown to indicate how fast a surface deviates from its tangent plane, generalizing the idea from ... Gauss' Theorem Egregium is derived showing that the Gaussian curvature is determined just in terms of a surface's metric and its ... Surfaces of Revolution. The Torus is introduced and is given a natural coordinate mesh. Its first and second fundamental forms ...
Classicaldiffgeo Lec 4 B - Detailed Analysis & Overview
The second fundamental form is shown to indicate how fast a surface deviates from its tangent plane, generalizing the idea from ... Gauss' Theorem Egregium is derived showing that the Gaussian curvature is determined just in terms of a surface's metric and its ... Surfaces of Revolution. The Torus is introduced and is given a natural coordinate mesh. Its first and second fundamental forms ... First-order Substitution Methods: Bernouilli and Homogeneous ODE's. View the complete course: Chain rule Higher derivatives View the complete course at: License: Creative Commons BY-NC-SA ... (October 15, 2012) Leonard Susskind moves the course into discussions of gravity and basic gravitational fields. The Fall 2012 ...
Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters. (October 17, 2011) Leonard Susskind discusses the some of the basic laws and ideas of modern physics. In this lecture, he ... The Poincare Disk model of hyperbolic geometry is introduced. it is mapped onto the Upper Half Plane model of hyperbolic ... The geodesic curvature of a curve embedded on a surface is related to the curve's turning angle. This observation leads to a ... The commutator of components of the covariant derivative is computed and shown to be proportional to the Gaussian curvature.
