Foliations

Reeb stability theorem

In mathematics, Reeb stability theorem, named after Georges Reeb, asserts that if one leaf of a codimension-one foliation is closed and has finite fundamental group, then all the leaves are closed and have finite fundamental group. (Wikipedia).

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The Routh-Hurwitz Stability Criterion

In this video we explore the Routh Hurwitz Stability Criterion and investigate how it can be applied to control systems engineering. The Routh Hurwitz Stability Criterion can be used to determine how many roots of a polynomial are in the right half plane. Topics and time stamps: 0:00 –

From playlist Control Theory

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Reliability 1: External reliability and rater reliability and agreement

In this video, I discuss external reliability, inter- and intra-rater reliability, and rater agreement.

From playlist Reliability analysis

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What Is The Uncertainty Principle?

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From playlist Science Unplugged: Quantum Mechanics

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Multivariable Calculus | Differentiability

We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Uncertainty Principle - Klim Efremenko

Klim Efremenko Tel-Aviv University; Member, School of Mathematics April 23, 2013 Informally, uncertainty principle says that function and its Fourier transform can not be both concentrated. Uncertainty principle has a lot of applications in areas like compressed sensing, error correcting c

From playlist Mathematics

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Surfaces of Section, Anosov Reeb Flows, and the C2-Stability Conjecture for... - Marco Mazzucchelli

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar 9:15am|Remote Access Topic: Surfaces of Section, Anosov Reeb Flows, and the C2-Stability Conjecture for Geodesic Flows Speaker: Marco Mazzucchelli Affiliation: École Normale Supérieure de Lyon Date: March 03, 2023 In

From playlist Mathematics

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Knot contact homology and related topics by Michael G Sullivan

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

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Lyapunov Stability via Sperner's Lemma

We go on whistle stop tour of one of the most fundamental tools from control theory: the Lyapunov function. But with a twist from combinatorics and topology. For more on Sperner's Lemma, including a simple derivation, please see the following wonderful video, which was my main source of i

From playlist Summer of Math Exposition Youtube Videos

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Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger

In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some

From playlist Famous Math Problems

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What Heisenberg's Uncertainty Principle *Actually* Means

Let's talk about one of the most misunderstood but awesome concepts in physics. The Heisenberg uncertainty principle. Or maybe it should be the Heisenberg 'fuzziness' principle instead? Would that confuse less people?

From playlist Some Quantum Mechanics

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Alexandre Sukhov - J-complex curves: some applications (Part 1)

We will focus in our lectures on the following : 1. J-complex discs in almost complex manifolds : general properties. Linearization and compactness. Gromov’s method : the Fredholm alternative for the d-bar operator. Attaching a complex disc to a Lagrangian manifold. Application : exotic sy

From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

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Alexandre Sukhov - J-complex curves: some applications (Part 4)

We will focus in our lectures on the following : 1. J-complex discs in almost complex manifolds : general properties. Linearization and compactness. Gromov’s method : the Fredholm alternative for the d-bar operator. Attaching a complex disc to a Lagrangian manifold. Application : exotic sy

From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

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Efficient Stability for the Weyl-Heisenberg Group - Thomas Vidick

Marston Morse Lectures Topic: Efficient Stability for the Weyl-Heisenberg Group Speaker: Thomas Vidick Affiliation: California Institute of Technology Date: March 31, 2023 The question of stability of approximate group homomorphisms was first formulated by Ulam in the 1940s. One of the m

From playlist Mathematics

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Irina Gelbukh 2023: The Reeb graph of a smooth function encodes the function class and manifold type

Title: How the Reeb graph of a smooth function encodes the class of the function and the type of the manifold Abstract: The Reeb graph of a function is a space obtained by contracting connected components of the function's level sets to points. Computer scientists mostly deal with Morse f

From playlist Vietoris-Rips Seminar

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Floer Theories and Reeb Dynamics for Contact Manifolds - Jo Nelson

Members' Colloquium Topic: Floer Theories and Reeb Dynamics for Contact Manifolds Speaker: Jo Nelson Affiliation: Rice University, Member, School of Mathematics Date: February 13, 2023 Contact topology is the study of certain geometric structures on odd dimensional smooth manifolds. A co

From playlist Mathematics

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Periodic Orbits and Birkhoff Sections of Stable Hamiltonian Structures - Robert Cardona

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Periodic Orbits and Birkhoff Sections of Stable Hamiltonian Structures Speaker: Robert Cardona Affiliation: Instituto de Ciencias Matemáticas, Madrid Date: December 09, 2022 In this talk, we start by reviewin

From playlist Mathematics

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Sarah Percival 7/27/22: Computation of Reeb Graphs in a Semi-Algebraic Setting

The Reeb graph is a tool from Morse theory that has recently found use in applied topology due to its ability to track changes in connectivity of level sets of a function. In this talk, I will motivate the use of semi-algebraic geometry as a setting for problems in applied topology and sho

From playlist AATRN 2022

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Orbifolds and Systolic Inequalities - Christian Lange

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Orbifolds and Systolic Inequalities Speaker: Christian Lange Affiliation: Mathematisches Institut der Universität München Date: January 13, 2023 In this talk, I will first discuss some instances in which orbi

From playlist Mathematics

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The Argument principle and frequency domain stability checks explained

I go over the principle of the argument and the Nyquist and Bode stability criteria. • The GeoGebra book is available here: https://ggbm.at/cV8QmwXZ • The Jupyter notebook is available here: https://bit.ly/2XEsEtE

From playlist Frequency domain

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Connectedness | Tangent space | Fiber bundle | Homeomorphism | Holonomy | Reeb sphere theorem | Complex manifold | Transversality (mathematics) | Dimension | Boundary (topology) | Hausdorff space | Closed manifold | Neighbourhood (mathematics) | Mathematics | Conformal geometry | Diffeomorphism | Codimension | Orientability | Compact space | Fundamental group | Manifold | Fiber (mathematics) | Fibration | Kähler manifold | Foliation | Complete metric space | Disk (mathematics) | Poincaré–Bendixson theorem