Continuous mappings | Fractal curves
In geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890. Peano's curve is a surjective, continuous function from the unit interval onto the unit square, however it is not injective. Peano was motivated by an earlier result of Georg Cantor that these two sets have the same cardinality. Because of this example, some authors use the phrase "Peano curve" to refer more generally to any space-filling curve. (Wikipedia).
From playlist Space filling curves
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning
Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an
From playlist Maths Topics
Fractal charm: Space filling curves
A montage of space-filling curves meant as a supplement to the Hilbert curve video. https://youtu.be/3s7h2MHQtxc These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://
From playlist 3Blue1Brown | Math for fun and glory | Khan Academy
il Large Hadron Collider (Italiano)
Una panoramica sul progetto LHC ed i suoi campi di ricerca.
From playlist Italiano
Algebraic geometry 44: Survey of curves
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives an informal survey of complex curves of small genus.
From playlist Algebraic geometry I: Varieties
#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)
From playlist Miscellaneous
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
Polynumbers and de Casteljau Bezier curves | Algebraic Calculus and dCB curves | N J Wildberger
The Algebraic Calculus is an exciting new approach to calculus, not reliant on "infinite processes" and "real numbers". The central objects are polynomially parametrized curve, which turn out to be the same as the de Casteljau Bezier curves which play such a big role in design, animation,
From playlist Algebraic Calculus One Info
Space-Filling Curves (1 of 4: Peano Curve)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals
Cannon-Thurston maps: naturally occurring space-filling curves
Saul Schleimer and I attempt to explain what a Cannon-Thurston map is. Thanks to my brother Will Segerman for making the carvings, and to Daniel Piker for making the figure-eight knot animations. I made the animation of the (super crinkly) surface using our app (with Dave Bachman) for coh
From playlist GPU shaders
Bill Gosper - The Dragon Function is Way Cooler than the Dragon Curve - G4G14 Apr 2022
To view the PDF conclusion of the presentation go to: https://www.gathering4gardner.org/g4g14gift/G4G14-BillGosper-PresentationFollowup-Apr2022.pdf To view Bill's animation go to: https://www.gathering4gardner.org/g4g14gift/G4G14-BillGosper-Annimation.gif Particularly in the recreational
From playlist G4G14 Videos
Set Theory (Part 9): Isomorphism of Peano Systems
Please feel free to leave comments/questions on the video and practice problems below! In this video, I show that the Peano system involving the natural numbers models all Peano systems by showing that all such Peano systems are isomorphic to the one involving natural numbers. Along the w
From playlist Set Theory by Mathoma
What are Numbers Made of? | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi In the physical world, many seemingly basic things turn out to be built from even more basic things. Molecules are made of atoms, atoms are made of protons, neutrons, a
From playlist An Infinite Playlist
Hilbert's Curve: Is infinite math useful?
Space-filling curves, and the connection between infinite and finite math. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Home page: https://www.3blue1brown.com Supplement with more space-filling cu
From playlist Explainers
Chicho frumboli & Juana Sepulveda ¨milonga para una armonica ¨
Milonga Gricel marzo 2017
From playlist Tango