Mathematical problems | Calculus of variations | Minimal surfaces

Plateau's problem

In mathematics, Plateau's problem is to show the existence of a minimal surface with a given boundary, a problem raised by Joseph-Louis Lagrange in 1760. However, it is named after Joseph Plateau who experimented with soap films. The problem is considered part of the calculus of variations. The existence and regularity problems are part of geometric measure theory. (Wikipedia).

Plateau's problem
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Square and Regular Hexagon Action: Challenge Problem

Link: https://www.geogebra.org/m/dxsNFYWQ

From playlist Geometry: Challenge Problems

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Triangle Median: Challenge Problem

Link: https://www.geogebra.org/m/jESRWymr BGM: Andy Hunter

From playlist Geometry: Challenge Problems

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The Corner Cube Problem

The corner cube problem is interesting because it initially looks difficult. When the problem was first posed to me, for example, it didn't know how to solve it. Still, my intuition bells were ringing, telling me there was a nice solution. In this video, I cover two of these solutions, in

From playlist Fun

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Regular Polygon Phenomena!

GeoGebra Link: https://www.geogebra.org/m/ketkkfuj

From playlist Geometry: Challenge Problems

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Regular Polygon Phenomena 2!

GeoGebra Link: https://www.geogebra.org/m/yvqwqk6h

From playlist Geometry: Challenge Problems

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Equilateral Triangles Problem

GeoGebra Link: https://www.geogebra.org/m/f5zgupmz

From playlist Geometry: Challenge Problems

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Cyclic Quadrilateral Phenomenon

1 cyclic quadrilateral + 4 perpendiculars = 😮? How to prove? 🤔 Source: Antonio Gutierrez. https://geogebra.org/m/MZ8Zgqsg #GeoGebra #MTBoS #ITeachMath #geometry #math #maths #proof

From playlist Geometry: Challenge Problems

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A theory of magnetisation plateaus in Shastry-Sutherland model & SrCu2(BO3)2

Discussion Meeting: Quantum entanglement in macroscopic matter URL: http://www.icts.res.in/discussion_meeting/QEM2015/ Dates: Monday 12 Jan, 2015 - Friday 16 Jan, 2015 Description: Condensed matter systems display a wide variety of interesting low temperature phases that are the product

From playlist Discussion Meeting: Quantum entanglement in macroscopic matter

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Antoine Song - Spherical Plateau problem and applications

I will discuss an area minimization problem in certain quotients of the Hilbert sphere by countable groups. An early version of that setting appears in Besson-Courtois-Gallot’s work on the entropy inequality. As an application of this minimization problem, we obtain some stability results.

From playlist Not Only Scalar Curvature Seminar

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Theory of a Hexamerized Quantum Paramagnet Exhibiting Magnetization Plateaus by Brijesh kumar

PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS: Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In

From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)

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Maria Kieferova - Training quantum neural networks with an unbounded loss function - IPAM at UCLA

Recorded 27 January 2022. Maria Kieferova of the University of Technology Sydney presents "Training quantum neural networks with an unbounded loss function" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Quantum neural networks (QNNs) are a framework for creating quantum al

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

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Quantum Transport, Lecture 6: Quantum Point Contacts II

Instructor: Sergey Frolov, University of Pittsburgh, Spring 2013 http://sergeyfrolov.wordpress.com/ Summary: Advanced topics related to one-dimensional quantum transport. 1) Non-linear regime in Quantum Point Contacts 2) Landauer-Buttiker formalism 3) Spin filtering properties of Quantum P

From playlist Quantum Transport

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LoneStarRuby 2015 - Surviving the Framework Hype Cycle by Brandon Hays

Baskin Robbins wishes it had as many flavors as there are JS frameworks, build tools, and cool new "low-level" languages. You just want to solve a problem, not have a 500-framework bake-off! And how will you know whether you picked the right one? Don't flip that table, because we'll use th

From playlist LoneStarRuby 2015

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Problem #24 Circuit with Five Resistors

Problem #24 Circuit with Five Resistors

From playlist Bi-weekly Physics Problems

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Regular Pentagons Phenomenon

Here, 2 regular pentagons share a common vertex. How can we prove what is illustrated here? 🤔 Source: Antonio Gutierrez https://www.geogebra.org/m/SWuW45TS #GeoGebra #MTBoS #ITeachMath #math #maths #geometry

From playlist Geometry: Challenge Problems

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Tensor network studies of SrCu2(BO3)2 by Philippe Corboz

PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS: Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In

From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)

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Kinks, Cusps, and Plateaus in the Transition Dynamics of a Bloch State by Jiang min Zhang

Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q

From playlist Open Quantum Systems

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Out of equilibrium dynamics of complex systems-5 by Leticia Cugliandolo

PROGRAM : BANGALORE SCHOOL ON STATISTICAL PHYSICS - XII (ONLINE) ORGANIZERS : Abhishek Dhar (ICTS-TIFR, Bengaluru) and Sanjib Sabhapandit (RRI, Bengaluru) DATE : 28 June 2021 to 09 July 2021 VENUE : Online Due to the ongoing COVID-19 pandemic, the school will be conducted through online

From playlist Bangalore School on Statistical Physics - XII (ONLINE) 2021

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(Pre)thermalization in periodically driven systems: a quantum by Marin Bukov

PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is

From playlist Thermalization, Many Body Localization And Hydrodynamics 2019

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A06 Example problem including the Wronskian

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From playlist A Second Course in Differential Equations

Related pages

Minimal surface | Bernstein's problem | Almgren regularity theorem | Geometric measure theory | Jesse Douglas | Hausdorff dimension | Dimension | Mathematics | Joseph-Louis Lagrange | Calculus of variations | Soap film | Hypersurface | Ennio de Giorgi | Stretched grid method | Plateau's laws | Caccioppoli set | Herbert Federer