Theorems in differential topology | Differential topology

Disc theorem

In the area of mathematics known as differential topology, the disc theorem of states that two embeddings of a closed k-disc into a connected n-manifold are ambient isotopic provided that if k = n the two embeddings are equioriented. The disc theorem implies that the connected sum of smooth oriented manifolds is well defined. (Wikipedia).

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How to use the discriminat to describe your solutions

👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. T

From playlist Discriminant of a Quadratic Equation

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What is the discriminant and what does it mean

👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. The disc

From playlist Discriminant of a Quadratic Equation | Learn About

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Galois theory: Discriminants

This lecture is part of an online graduate course on Galois theory. We define the discriminant of a finite field extension, ans show that it is essentially the same as the discriminant of a minimal polynomial of a generator. We then give some applications to algebraic number fields. Corr

From playlist Galois theory

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How to find the discriminant of a quadratic and label the solutions

👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. T

From playlist Discriminant of a Quadratic Equation

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How to find the discriminant and label the solutions of a quadratic

👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. T

From playlist Discriminant of a Quadratic Equation

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What is the formula for a perfect square trinomial and how does the discriminant fit in

👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. The disc

From playlist Discriminant of a Quadratic Equation | Learn About

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Determine and describe the discriminant

👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. T

From playlist Discriminant of a Quadratic Equation

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Rima Chatterjee: Structure Theorems of Legendrian Knots in Contact Manifolds

Rima Chatterjee, University of Cologne Title: Structure Theorems of Legendrian Knots in Contact Manifolds Structure theorems of a Legendrian knot have been an interesting study in contact geometry. One can ask when topological operations on a knot gives us important information about the g

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

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John McCarthy: Norm-preserving extensions of bounded holomorphic functions

Recording during the meeting "Interpolation in Spaces of Analytic Functions" the November 18, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audio

From playlist Analysis and its Applications

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Lectures on compactness in the ̄∂–Neumann problem (Lecture 5) by Emil Straube

PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo

From playlist Cauchy-Riemann Equations in Higher Dimensions 2019

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Physics - Mechanics: Application of Moment of Inertia (3 of 3) Parallel Axis Theorem

Visit http://ilectureonline.com for more math and science lectures! In this second of the three part series I will show 2 examples of moment of inertia using the Parallel Axis Theorem.

From playlist MOST POPULAR VIDEOS

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Mathematical Research Lecture -- Kyle Broder -- Curvature and Moduli

A recent talk I gave concerning the link between the curvature of the total space of a family of compact complex manifolds and the moduli-theoretic behaviour of the fibres. Part of this research appears in my Ph.D. thesis, and will appear in an upcoming preprint. 💪🙏 Support the channel b

From playlist Research Lectures

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Ahlfors Bers 2014 "The complex geometry of Teichmüller space and symmetric domains"

Stergios Antonakoudis (Cambridge University): From a complex analytic perspective, Teichmüller spaces can be realized as contractible bounded domains in complex vector spaces by the Bers embeddings. Bounded Symmetric domains constitute another class of bounded domains that has been extensi

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

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[BOURBAKI 2018] 31/03/2018 - 1/3 - Gabriel RIVIÈRE

Gabriel RIVIÈRE — Dynamique de l'équation de Schrödinger sur le disque (d'après Anantharaman, Léautaud et Macià) Dans une série de travaux récents, Anantharaman, Fermanian–Kammerer, Léautaud et Macià ont développé des outils d’analyse semi–classique afin d’étudier la dynamique en temps lo

From playlist BOURBAKI - 2018

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Overview of solutions of a quadratic function and the discriminant

👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. The disc

From playlist Discriminant of a Quadratic Equation | Learn About

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Symplectic embeddings, integrable systems and billiards - Vinicius Ramos

Symplectic Dynamics/Geometry Seminar Topic: Symplectic embeddings, integrable systems and billiards Speaker: Vinicius Ramos Affiliation: Member, School of Mathematics Date: January 27, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Lagrangian Floer theory (Lecture – 02) by Sushmita Venugopalan

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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What does the discriminant tell us about the solutions of a quadratic equation

👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. The disc

From playlist Discriminant of a Quadratic Equation | Learn About

Related pages

Manifold | Connected space | Ambient isotopy | Embedding | Connected sum | Differential topology