In mathematics, comparison theorems are theorems whose statement involves comparisons between various mathematical objects of the same type, and often occur in fields such as calculus, differential equations and Riemannian geometry. (Wikipedia).
Similar Triangles Using Side-Side-Side and Side-Angle-Side
This video explains how to determine if two triangles are similar using SSS and SAS. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Similarity
In this video lecture the AA Similarity Theorem is used to justify when two triangles are similar, which then allows for the use of proportions to solve for corresponding sides. Additionally, the Third Angle Theorem, and the Triangle Angle Sum Theorems are invoked to justify and solve for
From playlist Geometry
This video introduces similarity and explains how to determine if two figures are similar or not. http://mathispower4u.com
From playlist Number Sense - Decimals, Percents, and Ratios
Equivalence Relations Definition and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.
From playlist Abstract Algebra
The Triangle Proportionality Theorem
This video states and proves the triangle proportionality theorem. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Similarity
Triangle Similarity - AA SSS SAS & AAA Postulates, Proving Similar Triangles, Two Column Proofs
This geometry video tutorial provides a basic introduction into triangle similarity. it explains how to use two column proofs in order to prove if two triangles are similar using the mostly the AA postulates. Other triangle similarity postulates mentioned are the AAA, SSS, and SAS postul
From playlist Geometry Video Playlist
Cosets and equivalence class proof
Now that we have shown that the relation on G is an equivalence relation ( https://www.youtube.com/watch?v=F7OgJi6o9po ), we can go on to prove that the equivalence class containing an element is the same as the corresponding set on H (a subset of G).
From playlist Abstract algebra
Equivalence Relation on a Group Two Proofs
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relation on a Group Two Proofs. Given a group G and a subgroup H of G, we prove that the relation x=y if xy^{-1} is in H is an equivalence relation on G. Then cosets are defined and we prove that s_1 = s_2 iff [s_1] = [s
From playlist Abstract Algebra
Zhizhang Xie: On Gromov’s Dihedral extremality and rigidity conjectures
Talk by Zhizhang Xie in Global Noncommutative Geometry Seminar (Americas) on February 11, 2022 in https://globalncgseminar.org/talks/tba-24/
From playlist Global Noncommutative Geometry Seminar (Americas)
Chao Li - Scalar curvature and the dihedral rigidity conjecture
In 2013, Gromov proposed a geometric comparison theorem for metrics with nonnegative scalar curvature, formulated in terms of the dihedral rigidity phenomenon for Riemannian polyhedrons. In this talk, I will discuss recent progress towards this conjecture, and its connection to other rigid
From playlist Not Only Scalar Curvature Seminar
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
COMPARISON THEOREM WILL FINALLY MAKE SENSE!
► My Integrals course: https://www.kristakingmath.com/integrals-course You can use the comparison theorem to say whether an improper integral converges or diverges. You'll learn about the comparison theorem when you study integrals, but also when you study sequences and series. Your goal
From playlist Integrals
GPDE Workshop - A Liouville theorem and some remarks on non-linear elliptical equations
Yanyan Li Rutgers University February 26, 2009 For more videos, visit http://video.ias.edu
From playlist Mathematics
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
Absolute convergence -- Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II
Introduction to Scalar Curvature and Convergence - Christina Sormani
Emerging Topics Working Group Topic: Introduction to Scalar Curvature and Convergence Speaker: Christina Sormani Affilaition: IAS Date: October 15, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
When do fractional differential equations have maximal solutions?
When do fractional differential equations have maximal solutions? This video discusses this question in the following way. Firstly, a comparison theorem is formulated that involves fractional differential inequalities. Secondly, a sequence of approximative problems involving polynomials
From playlist Research in Mathematics
T. Richard - Advanced basics of Riemannian geometry 2 (version temporaire)
We will present some of the tools used by the more advanced lectures. The topics discussed will include : Gromov Hausdorff distance, comparison theorems for sectional and Ricci curvature, the Bochner formula and basics of Ricci flow.
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Theorems & Converses (3 of 3: A Counter-Example)
More resources available at www.misterwootube.com
From playlist Further Properties of Geometrical Figures
[BOURBAKI 2017] 14/01/2017 - 1/4 - Cédric VILLANI
Inégalités isopérimétriques dans les espaces métriques mesurés, d’après F. Cavalletti et A. Mondino La théorie synthétique de la courbure de Ricci dans les espaces métriques mesurés a remporté ses premiers succès il y a une dizaine d’années, et s’est rapidement développée depuis ; elle ac
From playlist BOURBAKI - 2017