Fractals

Invariant set postulate

The invariant set postulate concerns the possible relationship between fractal geometry and quantum mechanics and in particular the hypothesis that the former can assist in resolving some of the challenges posed by the latter. It is underpinned by nonlinear dynamical systems theory and black hole thermodynamics. (Wikipedia).

Invariant set postulate
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Set Theory (Part 3): Ordered Pairs and Cartesian Products

Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser

From playlist Set Theory by Mathoma

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Math 101 Fall 2017 112717 Open Sets and Continuity

Definitions: open set, closed set; examples. Statement of DeMorgan's Laws. Definition: pre-image. Example. Theorem: f is continuous iff the preimage of any open set is open. Motivation for compact sets.

From playlist Course 6: Introduction to Analysis (Fall 2017)

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Set Theory (Part 2): ZFC Axioms

Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their

From playlist Set Theory by Mathoma

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Introduction to Sets and Set Notation

This video defines a set, special sets, and set notation.

From playlist Sets (Discrete Math)

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Set Theory (Part 2b): The Bogus Universal Set

Please feel free to leave comments/questions on the video below! In this video, I argue against the existence of the set of all sets and show that this claim is provable in ZFC. This theorem is very much tied to the Russell Paradox, besides being one of the problematic ideas in mathematic

From playlist Set Theory by Mathoma

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Introduction to sets || Set theory Overview - Part 2

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

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Symmetries of Nature and Nature of Symmetries by Rohini M. Godbole

Kaapi with Kuriosity Symmetries of Nature and Nature of Symmetries (ONLINE) Speaker Rohini M. Godbole (Indian Institute of Science, Bengaluru) When 4:00 pm to 5:30 pm Sunday, 24 January 2021 Where Livestream via the ICTS YouTube channel Abstract:- Symmetries in geometrical shapes and ob

From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)

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Orbit of a set in abstract algebra

In this video we start to take a look at the orbit-stabilizer theorem. Our first stop is the orbit of a set. The orbit is created by taking an arbitrary element of a set and acting on that element by all the elements in the set of an an arbitrary group. In this video, we look at a few p

From playlist Abstract algebra

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36: Lorentz transformations - Part 2

Jacob Linder: 08.03.2012, Classical Mechanics (TFY4345) , v2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook

From playlist NTNU: TFY 4345 - Classical Mechanics | CosmoLearning Physics

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Set Theory (Part 4): Relations

Please feel free to leave comments/questions on the video and practice problems below! In this video, the notion of relation is discussed, using the interpretation of a Cartesian product as forming a grid between sets and a relation as any subset of points on this grid. This will be an im

From playlist Set Theory by Mathoma

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Mod-01 Lec-2 Symmetry in Perfect Solids

Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course

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Set Theory 1.1 : Axioms of Set Theory

In this video, I introduce the axioms of set theory and Russel's Paradox. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5ITQHUW

From playlist Set Theory

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Hyperbolic Knot Theory (Lecture - 1) by Abhijit Champanerkar

PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl

From playlist Knots Through Web (Online)

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L23.4 Symmetric and Antisymmetric states of N particles

MIT 8.06 Quantum Physics III, Spring 2018 Instructor: Barton Zwiebach View the complete course: https://ocw.mit.edu/8-06S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Zcz8LnCDFI8RPqRhJbb4L L23.4 Symmetric and Antisymmetric states of N particles License: Creative

From playlist MIT 8.06 Quantum Physics III, Spring 2018

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LambdaConf 2015 - The Abstract Method, In General Gershom Bazerman

“Programming is about abstraction.” But what is abstraction about? Surely not just programming. Why do we need it, why do we keep reinventing it? How do we even recognize it when we see it, across so many domains? When something is more abstract, it is not necessarily more useless, even th

From playlist LambdaConf 2015

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Lec 11 | MIT 2.71 Optics, Spring 2009

Lecture 11: The Hamiltonian formulation; introduction to waves Instructor: George Barbastathis, Colin Sheppard, Se Baek Oh View the complete course: http://ocw.mit.edu/2-71S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://

From playlist MIT 2.71 Optics, Spring 2009

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Markus Tempelmayr - A diagram-free approach to the stochastic estimates in regularity structures

We explore the version of Hairer's regularity structures based on a greedier index set than trees, as introduced by Otto, Sauer, Smith and Weber. More precisely, we construct and stochastically estimate the renormalized model, avoiding the use of Feynman diagrams but still in a fully autom

From playlist Research Spotlight

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Introduction to sets || Set theory Overview - Part 1

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

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