Multivariable Calculus | What is a vector field.
We introduce the notion of a vector field and give some graphical examples. We also define a conservative vector field with examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Multivariable Calculus | Conservative vector fields.
We prove some results involving conservative vector fields and describe a strategy for finding a potential function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
A varifold approach to surface approximation and curvature (...) - Buet - Workshop 1 - CEB T1 2019
Buet (Univ. Paris Sud) / 07.02.2019 A varifold approach to surface approximation and curvature estimation on point clouds Joint work with: Gian Paolo Leonardi (Modena) and Simon Masnou (Lyon). We propose a natural framework for the study of surfaces and their different discretizations
From playlist 2019 - T1 - The Mathematics of Imaging
Branched Regularity Theorems for Stable Minimal Hypersurfaces Near Classical Cones...- Paul Minter
Analysis & Mathematical Physics Topic: Branched Regularity Theorems for Stable Minimal Hypersurfaces Near Classical Cones of Density Q+1/2 Speaker: Paul Minter Affiliation: Veblen Research Instructor, School of Mathematics Date: November 16, 2022 The presence of branch points and so-cal
From playlist Mathematics
From currents to oriented varifolds for data fidelity (...) - Kaltenmark - Workshop 2 - CEB T1 2019
Irène Kaltenmark (Univ. Bordeaux) / 14.03.2019 From currents to oriented varifolds for data fidelity metrics; growth models for computational anatomy. In this talk, I present a general setting that extends the previous frameworks of currents and varifolds for the construction of data fi
From playlist 2019 - T1 - The Mathematics of Imaging
Vector form of multivariable quadratic approximation
This is the more general form of a quadratic approximation for a scalar-valued multivariable function. It is analogous to a quadratic Taylor polynomial in the single-variable world.
From playlist Multivariable calculus
Y. Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 1)
The course covers two separate but closely related topics. The first topic is the mean curvature flow in the framework of GMT due to Brakke. It is a flow of varifold moving by the generalized mean curvature. Starting from a quick review on the necessary tools and facts from GMT and the def
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Multivariable Calculus | The notion of a vector and its length.
We define the notion of a vector as it relates to multivariable calculus and define its length. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
Huy Nguyen: Brakke Regularity for the Allen-Cahn Flow
Abstract: In this paper we prove an analogue of the Brakke's $\epsilon$-regularity theorem for the parabolic Allen--Cahn equation. In particular, we show uniform $C^{2,\alpha}$ regularity for the transition layers converging to smooth mean curvature flows as $\epsilon\rightarrow 0$. A corr
From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
Y. Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 3)
The course covers two separate but closely related topics. The first topic is the mean curvature flow in the framework of GMT due to Brakke. It is a flow of varifold moving by the generalized mean curvature. Starting from a quick review on the necessary tools and facts from GMT and the def
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Y. Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 4)
The course covers two separate but closely related topics. The first topic is the mean curvature flow in the framework of GMT due to Brakke. It is a flow of varifold moving by the generalized mean curvature. Starting from a quick review on the necessary tools and facts from GMT and the def
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Nature of some stationary varifolds near multiplicity 2 tangent planes - Neshan Wickramasekera
Workshop on Geometric Functionals: Analysis and Applications Topic: Nature of some stationary varifolds near multiplicity 2 tangent planes Speaker: Neshan Wickramasekera Affiliation: University of Cambridge; Member, School of Mathematics Date: March 6, 2019 For more video please visit ht
From playlist Mathematics
What is the formula for a unit vector from a vector in component form
http://www.freemathvideos.com In this video series I will show you how to find the unit vector when given a vector in component form and as a linear combination. A unit vector is simply a vector with the same direction but with a magnitude of 1 and an initial point at the origin. It is i
From playlist Vectors
The Hessian matrix | Multivariable calculus | Khan Academy
The Hessian matrix is a way of organizing all the second partial derivative information of a multivariable function.
From playlist Multivariable calculus
Expressing a quadratic form with a matrix
How to write an expression like ax^2 + bxy + cy^2 using matrices and vectors.
From playlist Multivariable calculus
F. Schulze - An introduction to weak mean curvature flow 3 (version temporaire)
It has become clear in recent years that to understand mean curvature flow through singularities it is essential to work with weak solutions to mean curvature flow. We will give a brief introduction to smooth mean curvature flow and then discuss Brakke flows, their basic properties and how
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Multivariable Calculus | The gradient and directional derivatives.
We define the gradient of a function and show how it is helpful in finding the directional derivative. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Regularity of stable codimension 1 CMC varifolds - Neshan Wickramasekera
Variational Methods in Geometry Seminar Topic: Regularity of stable codimension 1 CMC varifolds Speaker: Neshan Wickramasekera Affiliation: University of Cambridge; Member, School of Mathematics Date: January 15, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry