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KCL Geometry Of Surfaces

This class was created by Brainscape user tyrion lannister. Visit their profile to learn more about the creator.

By: tyrion lannister
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Decks in this class (11)

1) Curves
If a tangent vector is a curve is...,
15  cards
2) How Much Does A Curve Curve?
Define curvature of a curve,
Curvature of reg curve in r n,
Regular curve
31  cards
3) Isoperimetric Inequality
Define a simple closed curve in r 2,
Define a parametrised circle in r...,
Define the length of for a parmat...
10  cards
4) Surfaces In 3d
Define a surface as a set of points,
Equation of a plane in r 3,
Define a surface patch
31  cards
5) The First Fundamental Form
General nomenclature for rest of ...,
How to calculate first fundamenta...,
The first fundamental form depend...
21  cards
6) Curvature Of Surfaces
Derive second fundamental form,
Derive 2nd fundamental form of a ...,
Derive 2nd fundamental form of a ...
21  cards
7) Guassian Curvature And The Gauss Map
Define the gaussian curvature,
Define explicit formulae for h k ...,
Prove
11  cards
8) Geodesics
Define a geodesic,
Why are geodesics on a surface in...,
Define a geodesic in terms of geo...
15  cards
9) Gauss’s Theorem Egregium
The gaussian curvature of a surfa...,
Smooth orthonormal basis of tange...,
Form partial derivatives of smoot...
12  cards
10) The Gauss Bonnet Theorem
Prove,
Prove hopf s umlaufsatz rotation ...,
Define a curvilinear polygon
19  cards
Exam Prep
Process to find unit speed reparam,
Process to find curvature,
Process to find right handed orth...
34  cards

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KCL Geometry Of Surfaces

  • Class purpose General learning

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