Courbe de Peano COURBE DE PEANOPeano's curve, peanosche Kurve Définition n°1 : La courbe de Peano est une courbe remplissant le carré [0, 1]2 définie par l'algorithme :
Un article de Wikipédia, l'encyclopédie libre. Giuseppe Peano Une courbe de Peano est une courbe plane paramétrée par une fonction continue sur l'intervalle unité [0, 1], surjective dans le carré [0, 1]×[0, 1], c'est-à-dire que la courbe passe par chaque point du carré : elle « remplit l'espace ». Toutes ces courbes sont des fractales : bien que formées d'une simple ligne, elles sont de dimension 2. Ce type de courbes est nommé en l'honneur de Giuseppe Peano, qui fut le premier à en décrire une. Courbe de Peano — Wikipédia
After 400 years, mathematicians find a new class of shapes The works of the Greek polymath Plato have kept people busy for millennia. Mathematicians have long pondered Platonic solids, a collection of geometric forms that are highly regular and are frequently found in nature. Platonic solids are generically termed equilateral convex polyhedra. In the millennia since Plato's time, only two other collections of equilateral convex polyhedra have been found: Archimedean solids (including the truncated icosahedron) and Kepler solids (including rhombic polyhedra). Nearly 400 years after the last class was described, mathematicians claim that they may have now identified a new, fourth class, which they call Goldberg polyhedra.
Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses Author Affiliations Edited by Patrick Fowler, The University of Sheffield, Sheffield, United Kingdom, and accepted by the Editorial Board January 7, 2014 (received for review June 10, 2013) Significance
Wikipedia-size maths proof too big for humans to check - physics-math - 17 February 2014 If no human can check a proof of a theorem, does it really count as mathematics? That's the intriguing question raised by the latest computer-assisted proof. It is as large as the entire content of Wikipedia, making it unlikely that will ever be checked by a human being. "It might be that somehow we have hit statements which are essentially non-human mathematics," says Alexei Lisitsa of the University of Liverpool, UK, who came up with the proof together with colleague Boris Konev. The proof is a significant step towards solving a long-standing puzzle known as the Erdős discrepancy problem.
[1402.2184] A SAT Attack on the Erdos Discrepancy Conjecture
Computers are providing solutions to math problems that we can't check I hope it doesn't go into "loans to pay loans" territory. If we reach the point of needing another computer to confirm it, and AIs become involved...hmm... -Analysis of Project First Singular finished. Would you like to know?
How to work out proofs in Analysis I | Gowers's Weblog Now that we’ve had several results about sequences and series, it seems like a good time to step back a little and discuss how you should go about memorizing their proofs. And the very first thing to say about that is that you should attempt to do this while making as little use of your memory as you possibly can. Suppose I were to ask you to memorize the sequence 5432187654321. Would you have to learn a string of 13 symbols?
John Baez on the number 8
John Baez on the number 5
John Baez on the number 24
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
The Infinite Hotel Paradox - Jeff Dekofsky
A double-end Euler spiral. The curve continues to converge to the points marked, as t tends to positive or negative infinity. An Euler spiral is a curve whose curvature changes linearly with its curve length (the curvature of a circular curve is equal to the reciprocal of the radius). Euler spirals are also commonly referred to as spiros, clothoids or Cornu spirals. Euler spiral
Probabilités et Statistique
This video is currently unavailable. Sorry, this video is not available on this device. Play Pause Prime Spirals - Numberphile
Heady mathematics: Describing popping bubbles in a foam
Reading Materials by Eugene Wigner "The Unreasonable Effectiveness of Mathematics in the Natural Sciences," in Communications in Pure and Applied Mathematics, vol. 13, No. I (February 1960). New York: John Wiley & Sons, Inc.
Reading Materials by R. W. HAMMING Reprinted From: The American Mathematical Monthly Volume 87 Number 2 February 1980 The Unreasonable Effectiveness of Mathematics in the Natural Sciences
Is Math a Feature of the Universe or a Feature of Human Creation? | Idea Channel | PBS This video is currently unavailable. Sorry, this video is not available on this device. by $author Share this playlist Cancel
Biggest Thing in the Universe - Sixty Symbols
Dragon Curve - Numberphile
New Largest Known Prime Number - Numberphile
After almost 20 years, math problem falls Mathematicians and engineers are often concerned with finding the minimum value of a particular mathematical function. That minimum could represent the optimal trade-off between competing criteria — between the surface area, weight and wind resistance of a car’s body design, for instance. In control theory, a minimum might represent a stable state of an electromechanical system, like an airplane in flight or a bipedal robot trying to keep itself balanced. There, the goal of a control algorithm might be to continuously steer the system back toward the minimum. For complex functions, finding global minima can be very hard.
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Who was the REAL Good Will Hunting? - Numberphile This video is currently unavailable. Sorry, this video is not available on this device. Video player is too small. Watch Later as __user_name__ as __user_name__
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Squaring the Circle - Numberphile
5 and Penrose Tiling - Numberphile
Un nouveau nombre premier à 17 millions de chiffres
abc Conjecture - Numberphile
IDTIMWYTIM: Stochasticity - THAT'S Random
Proof claimed for deep connection between primes
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Mathgen paper accepted! | That's Mathematics!
Another simulation giving evidence that (n-1) gives us an unbiased estimate of variance
Les rhinos sauvés par les maths?
Base 12 - Numberphile
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Problems with Zero - Numberphile
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Catalog Page for PIA16075
Intro to Cryptography
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04/05 > BE Allemagne 566 > Les mathématiques pour optimiser le marché des énergies renouvelables
Jean-Baptiste Michel: The mathematics of history
Un monde de fractales dans un fichier de 4 kilobytes
De l’inexactitude dans nos ordinateurs
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AI & Optimization
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How Bull Markets Evolve into Bubbles
Théorème des quatre couleurs
De l’esthétique des fractions continues
Votre boulanger est-il discret? (1/2)
Boulanger: la saga continue (2/2)
Topology - Geometry