In 1876 Alfred B. Kempe published his article On a General Method of describing Plane Curves of the nth degree by Linkwork, which showed that for an arbitrary algebraic plane curve a linkage can be constructed that draws the curve. This direct connection between linkages and algebraic curves has been named Kempe's universality theorem that any bounded subset of an algebraic curve may be traced out by the motion of one of the joints in a suitably chosen linkage. Kempe's proof was flawed and the first complete proof was provided in 2002 based on his ideas. This theorem has been popularized by describing it as saying, "One can design a linkage which will sign your name!" Kempe recognized that his results demonstrate the existence of a drawing linkage but it would not be practical. He states It is hardly necessary to add, that this method would not be practically useful on account of the complexity of the linkwork employed, a necessary consequence of the perfect generality of the demonstration. He then calls for the "mathematical artist" to find simpler ways to achieve this result: The method has, however, an interest, as showing that there is a way of drawing any given case; and the variety of methods of expressing particular functions that have already been discovered renders it in the highest degree probable that in every case a simpler method can be found. There is still, however, a wide field open to the mathematical artist to discover the simplest linkworks that will describe particular curves. A series of animations demonstrating the linkwork that results from Kempe's universality theorem are available for the parabola, self-intersecting cubic, smooth elliptic cubic and the trifolium curves. (Wikipedia).
U. Brehm: A Universality Theorem for Realization Spaces of Polyhedral Maps
U. Brehms lecture was held within the framework of the Hausdorff Trimester Program Universality and Homogeneity during the special seminar "Universality of moduli spaces and geometry" (06.11.2013) Due to an error with the recording, there is no video available for this lecture.
From playlist HIM Lectures: Trimester Program "Universality and Homogeneity"
Newton's Universal Law of Gravitation (8.1-8.3)
In this video, I write down Newton's universal law of gravitation, prove that it is conservative, and derive the potential energy associated with it.
From playlist Intermediate Classical Mechanics
Teach Astronomy - Universal Law of Gravity
http://www.teachastronomy.com/ Newton's master work is the universal law of gravity. Newton's law of gravity states that every object in the universe, every particle, every planet, every star, every galaxy, attracts each other with a force that is proportional to each of the masses of two
From playlist 03. Concepts and History of Astronomy and Physics
Paul Shafer:Reverse mathematics of Caristi's fixed point theorem and Ekeland's variational principle
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Caristi's fixed point theorem is a fixed point theorem for functions that are controlled by continuous functions but are necessarily continuous themselves. Let a 'Caristi
From playlist Workshop: "Proofs and Computation"
Uniqueness: The Physics Problem That Shouldn't Be Solved
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From playlist Classical Physics by Parth G
This video proves Rolle's Theorem. http://mathispower4u.com
From playlist Rolle’s Theorem and the Mean Value Theorem
Lecture 10: Kempe's Universality 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 begins by defining folding motion by a series of folded state, linkages, graphs, and configuration space. A proof of
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Ex 2: Rolle's Theorem with Product Rule
This video provides an example of how to apply Rolle's Theorem. http://mathispower4u.com
From playlist Rolle’s Theorem and the Mean Value Theorem
Class 10: Kempe's Universality 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 class presents open problems involving holes, sliding linkages, and generalizations of Kempe. A proof for the semi-algebraic
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
The Five Color Theorem (without Kempe chains)
Submission for the #SoME2 competition. Most animations were done in manim (https://www.manim.community/), and the 3d images were rendered using svg3d (https://github.com/prideout/svg3d). Proofs: The degree of a vertex or a face is the number of edge incidences (edges that meet a vertex o
From playlist Summer of Math Exposition 2 videos
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
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From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
R. Lazarsfeld: The Equations Defining Projective Varieties part 4
The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometry. (6.-22.1.2014)
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
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
The structure of instability in moduli theory - Daniel Halpern-Leistner
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From playlist Mathematics
How Baby Sea Turtles Find Their Way Home
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/PBSDSDonate The cutest conservation story ever? Maybe. Do it for the turtles… SUBSCRIBE! ►► http://bit.ly/iotbs_sub ↓ More info and sources below ↓ Want to wear your love for sc
From playlist Be Smart - LATEST EPISODES!
The Bogomolov-Gieseker inequality and geography of moduli (Lecture 2) by Carlos Simpson
INFOSYS-ICTS RAMANUJAN LECTURES EXPLORING MODULI SPEAKER: Carlos Simpson (Université Nice-Sophia Antipolis, France) DATE: 10 February 2020 to 14 February 2020 VENUE: Madhava Lecture Hall, ICTS Campus Lecture 1: Exploring Moduli: basic constructions and examples 4 PM, 10 February 2020
From playlist Infosys-ICTS Ramanujan Lectures
Determinantal varieties and asymptotic expansion of Bergman kernels by Harald Upmeier
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From playlist Analytic and Algebraic Geometry-2018
The Blind Watchmaker With Paul Stepahin | Exploratorium
Theo Jansen’s strandbeests are made up of many interesting organs. They have legs that take elegant strides. They have stomachs to store energy, allowing them to walk even when there’s no wind. They can even detect water and count their steps. Explore strandbeest anatomy and what it reveal
From playlist Strandbeests at the Exploratorium Summer 2016
Milton Jara : The weak KPZ universality conjecture - 3
Abstract: The aim of this series of lectures is to explain what the weak KPZ universality conjecture is, and to present a proof of it in the stationary case. Lecture 1: The KPZ equation, the KPZ universality class and the weak and strong KPZ universality conjectures. Lecture 2: The marting
From playlist Mathematical Physics
Decoupling and the Utility of Destructive Wave Interference - D. Dominique Kemp
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From playlist Mathematics