Curvature (mathematics) | Differential geometry of surfaces | Surfaces
In differential geometry, the two principal curvatures at a given point of a surface are the maximum and minimum values of the curvature as expressed by the eigenvalues of the shape operator at that point. They measure how the surface bends by different amounts in different directions at that point. (Wikipedia).
The all important concept of curvature. We look at two equations for curvature and introduce the radius of curvature.
From playlist Life Science Math: Vectors
Reference: Differential Geometry by Do Carmo My first video! Thank you for coming and any suggestion is very welcomed! #some2
From playlist Summer of Math Exposition 2 videos
Curvature for the general paraboloid | Differential Geometry 28 | NJ Wildberger
Here we introduce a somewhat novel approach to the curvature of a surface. This follows the discussion in DiffGeom23, where we looked at a paraboloid as a function of the form 2z=ax^2+2bxy+cy^2. In this lecture we generalize the discussion to the important case of a paraboloid, which we
From playlist Differential Geometry
Introduction to the Principal Unit Normal Vector
Introduction to the Principal Unit Normal Vector
From playlist Calculus 3
6C Second equation for curvature on the blackboard
In this lecture I show you a second equation for curvature.
From playlist Life Science Math: Vectors
Curvature for the general parabola | Differential Geometry 13 | NJ Wildberger
We now extend the discussion of curvature to a general parabola, not necessarily one of the form y=x^2. This involves first of all understanding that a parabola is defined projectively as a conic which is tangent to the line at infinity. We find the general projective 3x3 matrix for suc
From playlist Differential Geometry
Geometric and algebraic aspects of space curves | Differential Geometry 20 | NJ Wildberger
A space curve has associated to it various interesting lines and planes at each point on it. The tangent vector determines a line, normal to that is the normal plane, while the span of adjacent normals (or equivalently the velocity and acceleration) is the osculating plane. In this lectur
From playlist Differential Geometry
Lecture 15: Curvature of Surfaces (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
Light: Reflection || CBSE Class 10 Physics - Board Brahmastra || Don't Memorise
Don’t Memorise brings learning to life through its captivating educational videos. To Know More, visit https://infinitylearn.com/surge/study-materials/ncert-solutions/class-10/science/chapter-10-light-reflection-and-refraction/. ✅ Please Join Our Telegram Channel ►https://t.me/InfinityLea
From playlist Board Brahmastra || CBSE Class 10 Crash Course
In this video from The Physics Classroom's video tutorial series, Mr. H demonstrates and explains how to construct ray diagrams for objects located in front of a concave mirror. Five examples are given. The video titled "Introduction to Curved Mirrors" (referenced on slide 3) can be found
From playlist Reflection and Mirrors
Tensor Calculus Lecture 14b: Examples of Curves in 3D
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
This video covers Section 25.4 of Cutnell & Johnson Physics 10e, by David Young and Shane Stadler, published by John Wiley and Sons. The lecture is part of the course General Physics - Life Sciences I and II, taught by Dr. Boyd F. Edwards at Utah State University. This video was produced
From playlist Lecture 25A. The Reflection of Light: Mirrors
Ben Andrews: Limiting shapes of fully nonlinear flows of convex hypersurfaces
Abstract: I will discuss some questions about the long-time behaviour of hypersurfaces evolving by functions of curvature which are homogeneous of degree greater than 1. ------------------------------------------------------------------------------------------------------------------------
From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows
Vector Calculus 24: The Principal Normal and Curvature of a Planar Curve
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Vector Calculus
Planarity in Higher Codimension Mean Curvature Flow - Keaton Naff
Analysis Seminar Topic: Planarity in Higher Codimension Mean Curvature Flow Speaker: Keaton Naff Affiliation: Columbia University Date: February 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Tensor Calculus Lecture 14f: Principal Curvatures
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Curvature of a Riemannian Manifold | Riemannian Geometry
In this lecture, we define the exponential mapping, the Riemannian curvature tensor, Ricci curvature tensor, and scalar curvature. The focus is on an intuitive explanation of the curvature tensors. The curvature tensor of a Riemannian metric is a very large stumbling block for many student
From playlist All Videos
Physics: Optics- Thick Lenses (4 of 56) The Location of the Principal Planes
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce how to find the principal plane and principal point of the biconvex, plano convex, positive meniscus, negative meniscus, plano concave, and biconcave lenses. Next video in this series can b
From playlist PHYSICS 55.3 THICK LENSES