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Cornell University

Nonlinear Dynamics and Chaos

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Explore nonlinear dynamics and chaos through analytical methods, examples, and applications in physics, biology, and engineering. Develop mathematical theory and gain insights into complex systems behavior.
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25 Lesons
1 day 6 hours
On-Demand
Free-Video
Santa Fe Institute

Mandelbrot, 1/f Noise, and The Mind's Eye in Complexity Science

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Exploring Mandelbrot's contributions to 1/f noise, long-range dependence, and fractional models. Discusses the impact of cognitive diversity on scientific progress and the importance of visual thinking in mathematics.
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1 Lesons
50 minutes
On-Demand
Free-Video
NPTEL

Introductory Non-Linear Dynamics

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This course is designed to introduce students to the basic ideas of Dynamical systems, Stability, and chaos, largely using Iterative mappings as the model. The course will focus on qualitative ideas and will require students to explore dynamics through s…
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13 Lesons
6 hours
On-Demand
Free-Video
Simons Semester on Dynamics

The Julia Sets of Chebyshev's Method with Small Degrees

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Explore the dynamics of Chebyshev's method applied to cubic polynomials. Investigate Julia sets, connectivity conditions, and parametrization of rational maps in this mathematical deep dive.
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1 Lesons
31 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Gauss-Lucas Theorem in Polynomial Dynamics

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Dive into the Gauss-Lucas theorem's applications in polynomial dynamics, exploring convex hulls of Julia sets and their preimages for complex polynomials.
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1 Lesons
39 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Monotonicity of Entropy in Families of Interval Maps - Lecture 2

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Explore the transfer operator, holomorphic motions, and entropy monotonicity in interval maps. Gain insights into applications in rational dynamics and quadratic families.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Monotonicity of Entropy in Families of Interval Maps - Lecture 1

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Explore the transfer operator, holomorphic motions, and entropy monotonicity in interval maps. Gain insights into applications in rational dynamics and quadratic families.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
3Blue1Brown

Beyond the Mandelbrot Set - An Intro to Holomorphic Dynamics

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Explore holomorphic dynamics, iterative complex functions, and fractals. Delve into Mandelbrot sets, fixed points, cycles, and Julia sets for a fascinating journey through mathematical visualization.
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8 Lesons
28 minutes
On-Demand
Free-Video
3Blue1Brown

Newton's Method Produces This Fractal, Why Don't We Teach It in Calculus Classes?

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Explore the fascinating fractal produced by Newton's method for finding roots of polynomials, revealing unexpected complexity in a seemingly simple mathematical technique.
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6 Lesons
26 minutes
On-Demand
Free-Video
Coding Train

Coding a 3D Fractal

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Learn to visualize the 3D Mandelbulb fractal using Processing (Java). Explore triplex numbers, spherical coordinates, and point cloud rendering techniques to create stunning fractal visualizations.
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16 Lesons
28 minutes
On-Demand
Free-Video

Learn Rust Programming

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Master Rust's key concepts: traits, enums, borrow checker, error handling, and iterators. Gain practical skills through code reviews, fractals, and StackOverflow's top questions.
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14 Lesons
13 hours
On-Demand
Free-Video

Day Trading Fractals

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Learn to use fractals for day trading and swing trading in forex, including market turns, breakouts, and trend line drawing techniques.
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3 Lesons
30 minutes
On-Demand
Free-Video
3Blue1Brown

Fractals Are Typically Not Self-Similar

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Explore fractal dimension, self-similarity, and scaling in this engaging explanation that challenges common misconceptions about fractals and their properties.
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5 Lesons
22 minutes
On-Demand
Free-Video
TEDx

El punto ciego en el camino de la vida - Fractales y perseverancia en robótica espacial

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Andrés Mora explora cómo los fractales y la perseverancia se aplican en robótica y navegación espacial, utilizando su experiencia en la NASA para ilustrar el manejo de desafíos en la vida y la tecnología.
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1 Lesons
15 minutes
On-Demand
Free-Video
IMSA

Low-Dimensional Solenoidal Manifolds

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Exploración de manifolds solenoidales de baja dimensión, sus propiedades topológicas y estructurales, y nuevos resultados en este campo de la geometría y topología.
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1 Lesons
58 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Non-Almost Finite Actions on the Cantor Set - Amenable Wreath Products

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Explore non-almost finite actions on the Cantor set by amenable wreath products, challenging Kerr's topological analogue of the Ornstein-Weiss theorem in measurable dynamics.
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1 Lesons
30 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Holomorphic Movements in Complex Analysis - Lecture 1

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Explorez les mouvements holomorphes et leur application aux ensembles de Julia. Découvrez le lambda-lemma et son impact sur les systèmes dynamiques complexes.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Mouvements Holomorphes: Variation of Properties in Holomorphic Motions - Lecture 2

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Explorez la variation des ensembles de Julia en fonction des polynômes. Découvrez les mouvements holomorphes et leur impact sur le diamètre, la dimension, l'aire et la capacité des ensembles.
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1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

The Crossing Paths of Mandelbrot and Schützenberger - An Episode of Crossovers

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Explore the intersecting trajectories of Mandelbrot and Schützenberger in discrete mathematics and computer science, uncovering fascinating crossovers in their work.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Fractional Gaussian and Stable Random Fields on Fractals

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Explore fractional Gaussian and stable random fields on fractals, covering key concepts like covariance functions, stochastic integrals, and Laplace operators.
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12 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

The Modular Mandelbrot Set

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Explore the Modular Mandelbrot set with Luna Lomonaco in this IMPA 70th anniversary conference talk. Delve into advanced mathematical concepts and cutting-edge research in complex dynamics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Estimating Dimension and Lyapunov Exponents - Lecture 1A

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Explore advanced mathematical concepts of Hausdorff dimension, Lyapunov exponents, and their applications in dynamical systems and number theory through detailed theoretical analysis.
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6 Lesons
37 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Alexander Volberg: The Probability of Buffon Needle to Land Near Cantor Set

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Explore the probability of Buffon's needle landing near Cantor sets, delving into unexpected connections with various mathematical fields and theories.
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13 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Asymmetry in Dynamics

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Explore symmetries in dynamical systems and progress on Smale's conjecture about generic smooth systems having only trivial symmetries. Delve into complex analytic, Hamiltonian, and smooth dynamics.
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10 Lesons
45 minutes
On-Demand
Free-Video
International Mathematical Union

Self-Similar Sets and Measures on the Line

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Explore fractal geometry through self-similar sets and measures, focusing on recent developments in determining their dimensions. Gain insights into classical fractals and cutting-edge research.
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10 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

Fractal Dimensions in Nature and Mathematics - 2019

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Explore fractal dimensions in nature and math, from intuitive integer dimensions to non-integer fractals. Learn alternative definitions, simple examples, and applications in dynamical systems.
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11 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Michael Baake - A Cocycle Approach to the Fourier Transform of Rauzy Fractals

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Explore Fourier transforms of Rauzy fractals and their role in analyzing spectra of Pisot inflation tilings, with applications to diffraction theory and dynamical systems.
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12 Lesons
48 minutes
On-Demand
Free-Video
Fields Institute

Buchi Automata and Fractals on R

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Explore Buchi automata and fractals on R, covering regular languages, model theory, and first-order logic. Gain insights into sparse sets and omega languages in this mathematical journey.
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7 Lesons
25 minutes
On-Demand
Free-Video
Fields Institute

Symmetry, Almost

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Explore the beauty of mathematical symmetry and its imperfections, focusing on modular forms and their variants. Discover how altering symmetries can reveal new insights and unexpected beauty.
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11 Lesons
31 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Complex Dynamics and Arithmetic Geometry by Laura DeMarco

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Exploring connections between dynamical systems and arithmetic geometry, focusing on periodic points, torsion points, and algebraic curves in genus 2. Insights from polynomial dynamics and Julia sets illustrate key concepts.
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14 Lesons
1 hour 1 minute
On-Demand
Free-Video
Tom Rocks Maths

Mandelbulbs - The Search for a 3D Mandelbrot Fractal

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Explore the fascinating world of 3D fractals, from natural examples to complex mathematical constructs like Mandelbulbs, with insights into fractal dimensions and generation techniques.
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13 Lesons
26 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Osama Khalil- Diophantine Approximation on Fractals and Homogeneous Flows

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Explore Diophantine approximation on fractals and homogeneous flows, examining exceptional sets and their connections to recurrence behavior. Discover new results on Hausdorff dimension of divergent orbits and self-similar measure projections.
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1 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Thermodynamical Formalism and Markoff-Hurwitz Equations

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Explore connections between Diophantine geometry and fractals through Markoff-Hurwitz equations, transfer operators, and thermodynamical formalism. Discover links to various mathematical areas.
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1 Lesons
51 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamical Systems - Lecture 03

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Explore advanced concepts in dynamical systems theory, focusing on mathematical principles and applications in complex systems analysis and modeling.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quasi-Crystals, Fractals, and Other Beauties by Cristiane Morais Smith

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Explore quasi-crystals, fractals, and related mathematical structures in this lecture by Cristiane Morais Smith, delving into their fascinating properties and applications in physics and beyond.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
Numberphile

Sandpiles

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Explore the fascinating world of sandpiles and their fractal patterns with mathematician Luis David Garcia-Puente. Discover how simple rules create complex, beautiful structures in this engaging mathematical journey.
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1 Lesons
24 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Intersection Theory and the Mandelbrot Set

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Explores the Mandelbrot set's connections to arithmetic intersection theory, revealing new insights into this complex mathematical object. Joint work with Myrto Mavraki.
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1 Lesons
49 minutes
On-Demand
Free-Video
Let's Code Physics

The Babylonian Spiral - Exploring Chaotic Patterns in Mathematics

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Explore the evolution of a simple pattern into a chaotic masterpiece. Learn to create the mesmerizing Babylonian spiral using coding techniques in physics.
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1 Lesons
15 minutes
On-Demand
Free-Video
Myriam's Nature

Dendrite Fractals - Easy Technique, Great Results, Different Styles - Acrylics or India Ink

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Learn to create stunning dendrite fractals using acrylic inks, India ink, and fluid acrylics. Master various sizes and styles with a step-by-step guide to achieve beautiful snowflake-like patterns in any color.
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1 Lesons
20 minutes
On-Demand
Free-Video
Tom Rocks Maths

Koch Snowflake Fractal - Area and Perimeter Calculation

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Explore the fascinating Koch Snowflake fractal, calculating its infinite perimeter and constant area. Suitable for ages 14+, with step-by-step construction instructions and in-depth mathematical analysis.
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1 Lesons
29 minutes
On-Demand
Free-Video
AGU

Scaling and Fractals After Mandelbrot - On the Frontiers of the Geosciences - Part 1

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Explore scaling and fractals in geosciences, building on Mandelbrot's work. Discover cutting-edge applications and insights at the frontiers of Earth and space sciences.
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1 Lesons
2 hours 7 minutes
On-Demand
Free-Video
Insights into Mathematics

Limit Levels and Self-Similarity in Successor-Limit Hierarchy - Data Structures Math Foundations 184

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Explore self-similarity in successor-limit hierarchy, examining limit levels and computational challenges. Insights for programmers on pure mathematics at extreme numerical heights.
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8 Lesons
42 minutes
On-Demand
Free-Video
Fields Institute

Story of 1D Holomorphic Dynamics

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Explore the fascinating world of one-dimensional holomorphic dynamics with expert Mikhail Lyubich, delving into complex mathematical concepts and their applications.
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1 Lesons
44 minutes
On-Demand
Free-Video
Wolfram

Mathematical Games - Space-Filling Curves - Episode 16

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Explore mathematical games and puzzles involving space-filling curves with Ed Pegg Jr. in this engaging 55-minute episode.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Numerical Quadrature for Singular Integrals over Self-Similar Measures on Fractal Sets

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Explore numerical quadrature techniques for singular integrals over self-similar measures on fractal sets, focusing on advanced mathematical concepts and applications.
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1 Lesons
37 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Sobolev Spaces on Metric Spaces - Lecture by Jun Kigami

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Explore Sobolev spaces on metric spaces, covering basic concepts, new examples, and discrete energy. Gain insights into advanced mathematical analysis techniques.
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8 Lesons
32 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

The Modular Mandelbrot Set

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Explore the Modular Mandelbrot set in this dynamic talk by Luna Lomonaco, part of a conference celebrating Marcelo Viana's 60th birthday and showcasing cutting-edge developments in dynamical systems.
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1 Lesons
48 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Dynamics, Multifractals, and Harmonic Measure

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Explore dynamics, multifractals, and harmonic measure with Stanislav Smirnov in this conference talk celebrating Marcelo Viana's 60th birthday. Gain insights into cutting-edge developments in dynamical systems.
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1 Lesons
52 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Complex Dynamics in the Tropics - Partial Hyperbolicity in the Hénon Family

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Explore partial hyperbolicity in Hénon family dynamics. Delve into complex mathematical concepts, including Henon-like maps, quadratic handle maps, and Julia sets.
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16 Lesons
1 hour
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Escher and Droste in Luminy

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Explore the mathematical intricacies behind Escher's art and the Droste effect, delving into their connections and applications in visual perception and geometry.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Escher and Droste in Luminy

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Explore the mathematical intricacies behind Escher's art and the Droste effect, delving into their connections and applications in visual perception and geometry.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

On Context-Free Orderings on Free Products

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Explore context-free orderings on free products, including constructions of Cantor sets with dense subsets of context-free orders and extensions to free products with regularly ordered factors.
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1 Lesons
58 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Dry Ten Martini Problem for Sturmian Schrodinger Operators

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Explore the Dry Ten Martini Problem for Sturmian Schrodinger operators, examining spectral gaps and integrated density of states. Delve into recent solutions and advancements in this mathematical challenge.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Banach Center

Dynamically Defined Random Fractals

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Explore dynamically defined random fractals and their mathematical properties through expert insights from Karoly Simon of Budapest University of Technology and Economics.
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1 Lesons
51 minutes
On-Demand
Free-Video
Banach Center

Indecomposable Continua in Exponential Dynamics

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Explore indecomposable continua in exponential dynamics, delving into advanced mathematical concepts and their applications.
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1 Lesons
39 minutes
On-Demand
Free-Video
Banach Center

The Mandelbrot Set and Its Satellite Copies

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Explore the fascinating world of the Mandelbrot set and its satellite copies, delving into complex mathematical concepts and intricate geometric patterns.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Banach Center

Local Connectivity of Boundaries of Tame Fatou Components of Meromorphic Maps

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Explore local connectivity of boundaries in tame Fatou components for meromorphic maps, delving into complex dynamics and geometric function theory.
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1 Lesons
52 minutes
On-Demand
Free-Video
Banach Center

On a Mandelbrot-Like Set for a Family of Exponential Maps

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Explore the intricacies of Mandelbrot-like sets in exponential map families, delving into complex mathematical concepts and their applications.
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1 Lesons
26 minutes
On-Demand
Free-Video
Banach Center

A Family of Rational Maps with One Free Critical Point

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Explore rational maps with one free critical point, delving into their properties and implications in complex dynamics.
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1 Lesons
28 minutes
On-Demand
Free-Video
Banach Center

Slices of Cubic Rational Maps with Parabolics

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Explore cubic rational maps with parabolics, delving into their slices and mathematical properties. Gain insights into complex dynamics and algebraic geometry.
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1 Lesons
47 minutes
On-Demand
Free-Video
Big Ideas In Dynamics

Sharkovsky Ordering on the Mandelbrot Set

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Explore Sharkovsky ordering's application to the Mandelbrot set, uncovering fascinating connections between discrete dynamics and complex analysis.
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1 Lesons
31 minutes
On-Demand
Free-Video
Vladimir Chopine [GeekatPlay]

Creating Canyon in Terragen

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Learn to create realistic canyon landscapes with vertical walls in Terragen. Master techniques for painting, fractals, and atmospheric effects to enhance your digital terrain designs.
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7 Lesons
34 minutes
On-Demand
Free-Video
Myriam's Nature

Using Acrylic Skins - Dirty Pours and Fractals Neatly Added to Ornaments - Tips & Techniques

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Learn to create unique ornaments using acrylic skins, fractals, and dirty pour techniques. Discover step-by-step instructions, tips, and ideas for customizing beautiful decorations.
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1 Lesons
32 minutes
On-Demand
Free-Video
Envato Tuts+

How to Simulate Fractals in Photoshop

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Create stylized fractal designs using Photoshop techniques, exploring repeating shapes and swirling patterns to produce visually stunning images without complex mathematics.
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1 Lesons
20 minutes
On-Demand
Free-Video
Valerio Velardo - The Sound of AI

How Does Recursive Music Sound?

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Explore recursion in Python through creative applications like generating music, fractals, and sentences. Learn implementation techniques and understand recursive concepts with practical examples.
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16 Lesons
31 minutes
On-Demand
Free-Video
Java

Graal and GPU Offload - Architecture and Implementation

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Explore Graal architecture, GPU offloading, and HSAIL backend for Java performance optimization. Learn about Truffle, JavaScript peak performance, and special considerations for GPU compilation.
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17 Lesons
35 minutes
On-Demand
Free-Video
TED

Fractals and the Art of Roughness

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Explore the complexity of roughness and discover order in seemingly chaotic patterns through fractal mathematics with legendary mathematician Benoit Mandelbrot in this thought-provoking TED talk.
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1 Lesons
21 minutes
On-Demand
Free-Video
World Science Festival

Beyond Beauty - The Predictive Power of Symmetry

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Explore symmetry's role in nature, from honeycomb patterns to Einstein's theories. Leading scientists discuss its significance in physics, mathematics, and our understanding of the universe's fundamental laws.
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20 Lesons
1 hour 34 minutes
On-Demand
Free-Video
TEDx

Yeni Dünyanın Cesur İnsanları

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Değişen dünyaya uyum sağlamak için risk almanın önemini vurgulayan konuşma. Biyoloji, fizyoloji ve sinirbilim perspektifinden hayatın karmaşıklığını ve insanın potansiyelini ele alıyor.
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1 Lesons
22 minutes
On-Demand
Free-Video
EuroPython Conference

Recursion, Fractals, and the Python Turtle Module

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Explore recursion through fractals using Python's Turtle module. Learn to create psychedelic designs, understand natural patterns, and discover a fun tool for teaching coding concepts.
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6 Lesons
19 minutes
On-Demand
Free-Video
Origami with Jo Nakashima

Origami Menger Sponge - Jo Nakashima

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Learn to create a complex 3D fractal origami structure using simple cube units, progressing from basic folding techniques to assembling a mesmerizing Menger Sponge.
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9 Lesons
22 minutes
On-Demand
Free-Video
TED-Ed

Fractals and the Art of Roughness

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Explore the fascinating world of fractals and roughness with mathematician Benoit Mandelbrot, uncovering order in seemingly chaotic patterns and their applications across various fields.
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1 Lesons
17 minutes
On-Demand
Free-Video
TED

The Fractals at the Heart of African Designs

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Explore the fascinating world of fractal patterns in African designs and their practical applications in mathematics, architecture, and technology.
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7 Lesons
17 minutes
On-Demand
Free-Video
Canonical Ubuntu

Introduction to Numerical Computation Applications Using Ubuntu WSL

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Explore numerical computing on Ubuntu WSL for efficient solver development and deployment, with practical examples and insights on streamlining workflows for complex engineering problems.
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9 Lesons
11 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Cube Complexes and Finiteness Properties of Block Mapping Class Groups

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Explore cube complexes and their application to block mapping class groups, examining finiteness properties and connections to Thompson's groups in surface topology.
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1 Lesons
57 minutes
On-Demand
Free-Video
Coding Train

Coding Challenge: Dragon Curve Fractal Animation

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Learn to animate the Dragon Curve fractal using p5.js. Explore the algorithm, implement rotation and scaling, and create a mesmerizing visualization of this complex mathematical pattern.
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16 Lesons
31 minutes
On-Demand
Free-Video
Raman Research Institute

Fingers, Fractals, and Flow in Liquid Metals

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Explore fascinating patterns and behaviors of liquid metals through an examination of finger formations, fractal structures, and flow dynamics in metallic substances.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video