Lemmas | Articles containing proofs | Topology
In mathematics, particularly topology, the tube lemma is a useful tool in order to prove that the finite product of compact spaces is compact. (Wikipedia).
Physics - Mechanics: Torsion (11 of 14) Torsion and a Hollow Tube
Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the equation of torque=? of the torsion of a hollow tube. Next video in this series can be found at: https://youtu.be/mQ-wseAfAlc
From playlist PHYSICS 16.6 TORSION
Linearly Parametrized Curves | Algebraic Calculus One | Wild Egg
Parametrized curves figure prominently in the Algebraic Calculus, and they coincide with de Casteljau Bezier curves. The simplest case are the linearly parametrized curves given by a pair of linear polynomials of polynumbers. This gives us an alternate view of oriented polygonal splines.
From playlist Algebraic Calculus One
What is the difference between convex and concave
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Physics 39 Capacitors (8 of 37) Capacitance of a Cylindrical Capacitor
Visit http://ilectureonline.com for more math and science lectures! Howdy! Fasten your bootstraps and get ready for a massive eight part lecture on capacitors. We'll start with a single capacitor and focus on the concept of capacitance, then we'll move on to multiple capacitors, either
From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3
Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers
We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www
From playlist Vector Calculus for Engineers
Hong Wang: The restriction problem and the polynomial method, Lecture 2
Stein’s restriction conjecture is about estimating functions with Fourier transform sup- ported on a hypersurface, for example, a sphere in Rn. These functions can be decomposed into a sum over wave packets supported on long thin tubes. Guth introduced the polynomial method in restriction
From playlist Harmonic Analysis and Analytic Number Theory
Can p-adic integrals be computed? - Thomas Hales
Automorphic Forms Thomas Hales April 6, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorphicforms Conference Agena: ht
From playlist Mathematics
What is Special About Polynomials? (Perspectives from Coding theory and DiffGeom) - Larry Guth
What is Special About Polynomials? (Perspectives from Coding theory and Differential Geometry) Larry Guth Massachusetts Institute of Technology March 13, 2013 olynomials are a special class of functions. They are useful in many branches of mathematics, often in problems which don't mention
From playlist Mathematics
What is a Bézier curve? Programmers use them everyday for graphic design, animation timing, SVG, and more. #shorts #animation #programming Animated Bézier https://www.jasondavies.com/animated-bezier/
From playlist CS101
Hong Wang: The restriction problem and the polynomial method, Lecture IV
Stein’s restriction conjecture is about estimating functions with Fourier transform supported on a hypersurface, for example, a sphere in Rn. These functions can be decomposed into a sum over wave packets supported on long thin tubes. Guth introduced the polynomial method in restriction th
From playlist Harmonic Analysis and Analytic Number Theory
What is the difference of a trapezoid and an isosceles trapezoid
👉 Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides
From playlist Properties of Trapezoids
What are some characteristics of an isosceles trapezoid
👉 Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides
From playlist Properties of Trapezoids
Marina Iliopoulou: Three polynomial methods for point counting, Lecture I
During these lectures, we will describe (a) the polynomial method that Dvir developed to solve the Kakeya problem in finite fields, (b) polynomial partitioning, developed by Guth and Katz to solve the Erdös distinct distances problem in the plane, and (c) the slice rank method, developed b
From playlist Harmonic Analysis and Analytic Number Theory
25. Structure of set addition V: additive energy and Balog-Szemerédi-Gowers theorem
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Additive energy is a measure of additive structure. Prof.
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Caustics of Lagrangian homotopy spheres with stably trivial Gauss map - Daniel Alvarez-Gavela
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Caustics of Lagrangian homotopy spheres with stably trivial Gauss map Speaker: Daniel Alvarez-Gavela Date: May 14, 2021 For more video please visit https://www.ias.edu/video
From playlist Mathematics
Wild Weak Solutions to Equations arising in Hydrodynamics - 3/6 - Vlad Vicol
In this course, we will discuss the use of convex integration to construct wild weak solutions in the context of the Euler and Navier-Stokes equations. In particular, we will outline the resolution of Onsager's conjecture as well as the recent proof of non-uniqueness of weak solutions to t
From playlist Hadamard Lectures 2020 - Vlad Vicol and - Wild Weak Solutions to Equations arising in Hydrodynamics
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Hong Wang: The restriction problem and the polynomial method, Lecture III
Stein’s restriction conjecture is about estimating functions with Fourier transform supported on a hypersurface, for example, a sphere in Rn. These functions can be decomposed into a sum over wave packets supported on long thin tubes. Guth introduced the polynomial method in restriction th
From playlist Harmonic Analysis and Analytic Number Theory
Label the parts of a triangle ex 1
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Three things about polynomials - Ruixiang Zhang
Analysis & Mathematical Physics Topic: Three things about polynomials Speaker: Ruixiang Zhang Affiliation: University of California Date: December 07, 2022Â I will talk about three interesting ingredients that goes into the results on H\"{o}rmander type operators I presented at Princeton
From playlist Mathematics