Mathematics of rigidity | Theorems in convex geometry | Theorems in discrete geometry | Uniqueness theorems | Geodesic (mathematics)
The Alexandrov uniqueness theorem is a rigidity theorem in mathematics, describing three-dimensional convex polyhedra in terms of the distances between points on their surfaces. It implies that convex polyhedra with distinct shapes from each other also have distinct metric spaces of surface distances, and it characterizes the metric spaces that come from the surface distances on polyhedra. It is named after Soviet mathematician Aleksandr Danilovich Aleksandrov, who published it in the 1940s. (Wikipedia).
Existence & Uniqueness Theorem, Ex1.5
Existence & Uniqueness Theorem for differential equations. Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of d
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Existence & Uniqueness Theorem, Ex2
Existence & Uniqueness Theorem for differential equations. For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of differential equations: Check out the differential equation playlist:
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Uniqueness Theorems in Electrostatics | Laplace and Poisson Equation
We present two uniqueness theorems of #electrostatics, which help you find the electric potential and electric field! More details can be found in Griffiths’ book "Introduction to Electrodynamics“. 00:00 Introduction 00:19 First Theorem 01:48 Second Theorem Follow us on Instagram: htt
From playlist Electrodynamics, Electricity & Magnetism
ODE existence and uniqueness theorem
In this video, I prove the famous Picard-Lindelöf theorem, which states that, if f is Lipschitz, then the ODE y’ = f(y) with a given initial condition always has a unique solution (at least in the local sense). The proof involves some neat analysis; more precisely we use the Banach fixed p
From playlist Real Analysis
Existence and Uniqueness of y'=f(x,y) with y(x_0)=y_0: Picard's Theorem (1.2.2)
This video explains how to use Picard's theorem determine the existence and uniqueness of an initial value problem. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class introduces the pita form and Alexandrov-Pogorelov Theorem. D-forms are discussed with a construction exercise, followed
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Lecture 17: Alexandrov's Theorem
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture addresses the mathematical approaches for solving the decision problem for folding polyhedra. A proof of Alexandrov's
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Andreï Kolmogorov: un grand mathématicien au coeur d'un siècle tourmenté
Conférence grand public au CIRM Luminy Andreï Kolmogorov est un mathématicien russe (1903-1987) qui a apporté des contributions frappantes en théorie des probabilités, théorie ergodique, turbulence, mécanique classique, logique mathématique, topologie, théorie algorithmique de l'informati
From playlist OUTREACH - GRAND PUBLIC
Ex: Existence and Uniqueness of y'=f(x,y) with y(x_0)=y_0: Picard's Theorem (1.2.102-103)
This video explains how to use Picard's theorem determine the existence and uniqueness of an initial value problem. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Find Values Excluded to Guarantee Existence and Uniqueness of Solution to a IVP - y'=f(t,y)
This video explains how to the values of a differential equation must be excluded to guarantee a unique solution exists. dy/dt=f(t,y) http://mathispower4u.com
From playlist Linear First Order Differential Equations: Interval of Validity (Existence and Uniqueness)
A (truly) universal polynomial differential equation Lee A. Rubel proved in 1981 that there exists a universal fourth-order algebraic differential equation P(y,y',y'',y''')=0 (1) and provided an explicit example. It is universal in the sense that for any continuous function f from R to
From playlist DART X
Colloquium MathAlp 2016 - Michel Ledoux
Isopérimétrie dans les espaces métriques mesurés Le problème isopérimétrique (à volume donné, minimiser la mesure de bord, et déterminer les ensembles extrémaux), remonte aux temps les plus anciens. Tout à la fois, il peut se formuler de façon générale dans un espace métrique mesuré, et d
From playlist Colloquiums MathAlp
Ramon van Handel: The mysterious extremals of the Alexandrov-Fenchel inequality
The Alexandrov-Fenchel inequality is a far-reaching generalization of the classical isoperimetric inequality to arbitrary mixed volumes. It is one of the central results in convex geometry, and has deep connections with other areas of mathematics. The characterization of its extremal bodie
From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability
Video2-10, existence and uniqueness Theorem of nonlinear equation. Elementary Differential Equations
Elementary Differential Equations, Video2-10, existence and uniqueness Theorem of nonlinear equations. Slides are here: https://drive.google.com/file/d/1d9lPxdODxROphf76e7QJH4_fIJXXrDrx/view?usp=sharing Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0GbSSFMjZQyZtCq-0ol_
From playlist Elementary Differential Equations
Isoperimetry and boundaries with almost constant mean curvature - Francesco Maggi
Variational Methods in Geometry Seminar Topic: Isoperimetry and boundaries with almost constant mean curvature Speaker: Francesco Maggi Affiliation: The University of Texas at Austin; Member, School of Mathematics Date: February 12, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
A topological view on the Monge-Ampere equation without convexity assumptions - Jonas Hirsch
Workshop on the h-principle and beyond Topic: A topological view on the Monge-Ampere equation without convexity assumptions Speaker: Jonas Hirsch Affiliation: University of Leipzig Date: November 4, 2021
From playlist Mathematics
JĂĽrgen Jost (5/13/22): Geometry and Topology of Data
We link the basic concept of topological data analysis, intersection patterns of distance balls, with geometric concepts. The key notion is hyperconvexity, and we also explore some variants. Hyperconvexity in turn leads us to a new concept of generalized curvature for metric spaces. Curvat
From playlist Bridging Applied and Quantitative Topology 2022
Singularity and comparison theorems for metrics with positive scalar curvature - Chao Li
Variational Methods in Geometry Seminar Topic: Singularity and comparison theorems for metrics with positive scalar curvature Speaker: Chao Li Affiliation: Stanford University; Visitor, School of Mathematics Date: October 9, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Sinh-Gordon equation and application to the geometry of CMC surfaces - Laurent Hauswirth
Workshop on Mean Curvature and Regularity Topic: Sinh-Gordon equation and application to the geometry of CMC surfaces. Speaker: Laurent Hauswirth Affiliation: Université de Marne-la-Vallée Date: November 7, 2018 For more video please visit http://video.ias.edu
From playlist Workshop on Mean Curvature and Regularity
Existence & Uniqueness Theorem, Ex1
Existence & Uniqueness Theorem, Ex1 Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of differential equations: Ch
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)