Theorems in convex geometry | Articles containing proofs | Geometric transversal theory | Theorems in discrete geometry

Helly's theorem

Helly's theorem is a basic result in discrete geometry on the intersection of convex sets. It was discovered by Eduard Helly in 1913, but not published by him until 1923, by which time alternative proofs by and had already appeared. Helly's theorem gave rise to the notion of a Helly family. (Wikipedia).

Helly's theorem
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Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem

In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

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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

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Cayley theorem proof

In this video I show you how to prove Cayley's theorem, which states that every group is isomorphic to a permutation group. This video is a bit long because I take the time to revisit all the concepts required in the proof. these include isomorphisms, injective, surjective, and bijective

From playlist Abstract algebra

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What is the max and min of a horizontal line on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Theory of numbers: Congruences: Euler's theorem

This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim

From playlist Theory of numbers

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Calculus 5.3 The Fundamental Theorem of Calculus

My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

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Rainbow fractional matchings - Ron Holzman

Computer Science/Discrete Mathematics Seminar I Topic: Rainbow fractional matchings Speaker: Ron Holzman Affiliation: Technion Date: December 2, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Images in Math - Pascal's Theorem

This video is about Pascal's Theorem.

From playlist Images in Math

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Dynamical generalizations of the Prime Number Theorem and...disjointness of... -Florian Richter

Joint IAS/Princeton University Number Theory Seminar Topic: Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative actions Speaker: Florian Richter Affiliation: Northwestern University Date: June 4, 2020 For more video please visit http://vi

From playlist Mathematics

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How to determine the max and min of a sine on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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H.Chen - Théorème de Hilbert-Samuel arithmétique (Part3)

Le théorème de Hilbert-Samuel en géométrie algébrique relie le comportement asymptotique du système linéaire gradué d’un faisceau inversible ample au nombre d’intersection. Gillet et Soulé ont démontré un analogue arithmétique de ce résultat. Dans ce mini-cours, j’explique cet énoncé arith

From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes

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The Mean Value Theorem From Calculus Explanation and Example of Finding c

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Mean Value Theorem From Calculus Explanation and Example of Finding c

From playlist Calculus 1 Exam 2 Playlist

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Pawn Stars: CHUM'S ONE-OF-A-KIND 1931 JOHN DEERE ICE CREAM MAKER (Season 10) | History

Watch all new episodes of Pawn Stars Fridays at 9/8c, and stay up to date on all of your favorite History Channel shows at https://history.com/schedule. A man wishes to pawn an ice cream maker he made using a restored rare 1931 John Deere motor in this clip from Season 10, "Chumdae." #Paw

From playlist Pawn Stars: Official Series Playlist | New Episodes Wednesdays at 8/7c | History

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Amzi Jeffs (6/3/20): Convex sunflower theorems and neural codes

Title: Convex sunflower theorems and neural codes Abstract: In the 1970s neuroscientists O'Keefe and Dostrovsky made a groundbreaking experimental observation: neurons called "place cells" in a rat's hippocampus are active in a convex subset of the animal's environment, and thus encode a

From playlist AATRN 2020

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Dickie Done Did It! | Countdown to Shark Week: The Daily Bite

As we countdown the days to Shark Week, host Jordan Carlos revisits what Shark Week legends say is the true hero of Shark Week. Also, we say hello to one of our most daring Shark Week personalities, Dickie Chivell, and peek forward to the anticipated show, Great White Abyss. Shark Week 20

From playlist The Daily Bite | Shark Week 2018

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The Best Shark Paparazzi | Shark Week's The Daily Bite

On this episode of The Daily Bite, Luke Tipple talks with Shark Week's craziest photographers on what it takes to snag the perfect shark selfies. Stream Full Episodes from Shark Week: https://go.discovery.com/tv-shows/shark-week/ Own Full Seasons of Shark Week: https://play.google.com/st

From playlist Shark Week 2019

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Political Comedy In 2017: It's Amateur Hour | Josh Lieb | Big Think

Political Comedy In 2017: It's Amateur Hour New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- What’s that smell? It’s

From playlist Best Videos | Big Think

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CAT(0) cube complexes and group theory (Lecture - 1) by Michah Sageev

Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b

From playlist Geometry, Groups and Dynamics (GGD) - 2017

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Find the max and min of a linear function on the closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Urs Lang (2/3/23): Combinatorial dimension and higher-rank hyperbolicity

Dress characterized metric spaces of combinatorial dimension at most n in terms of a 2(n+1)-point inequality. We investigate a relaxed version of this inequality, which in the case n = 1 reduces to Gromov's quadruple definition of δ-hyperbolicity and which we experimentally call (n,δ)-hype

From playlist Vietoris-Rips Seminar

Related pages

Choquet theory | Compact space | Kirchberger's theorem | Krein–Milman theorem | Tverberg's theorem | Carathéodory's theorem (convex hull) | Discrete geometry | Convex hull | Radon's theorem | Cardinality | Heinrich Guggenheimer | Shapley–Folkman lemma | Intersection (set theory) | Mathematical induction | Convex set | Helly family | Finite intersection property