Bilinear forms | Functional analysis

Degenerate bilinear form

In mathematics, specifically linear algebra, a degenerate bilinear form f (x, y ) on a vector space V is a bilinear form such that the map from V to V∗ (the dual space of V ) given by v ↦ (x ↦ f (x, v )) is not an isomorphism. An equivalent definition when V is finite-dimensional is that it has a non-trivial kernel: there exist some non-zero x in V such that for all (Wikipedia).

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Transcritical bifurcation

Describes the transcritical bifurcation using the differential equation of the normal form. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equati

From playlist Differential Equations with YouTube Examples

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Bilinear form Chapter 1

*sorry i forgot to mention the negative signe when computing the dot product of two vectors facing opposite direction. I edit this video while studying manim engine plus i animate with the mouse so it took me a long time and due to the limited time for SoME1 i had to reduce the number of

From playlist Summer of Math Exposition Youtube Videos

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Prove the Form of the General Solution to a Linear Second Order Nonhomogeneous DE

This video explains the form of the general solution to linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com

From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients

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Advanced Knowledge Problem of the Week: 3-9-17

Ryan goes from quadratic to bilinear!

From playlist Center of Math: Problems of the Week

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Applying distributive property with a negative one to solve the multi step equation

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

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Lie Groups and Lie Algebras: Lesson 10: The Classical Groups part VIII

Lie Groups and Lie Algebras: Lesson 10: The Classical Groups part VIII In this lecture we demonstrate the canonical form of a bilinear symmetric metric. This will help us appreciate that all of the most important types of metrics can be represented by matrices of a specific "canonical" ty

From playlist Lie Groups and Lie Algebras

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Subcritical pitchfork bifurcation

Describes the subcritical pitchfork bifurcation using the differential equation of the normal form. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf

From playlist Differential Equations with YouTube Examples

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Lie Groups and Lie Algebras: Lesson 11 - The Classical Groups Part IX

Lie Groups and Lie Algebras: Lesson 11 - The Classical Groups Part IX In this lecture we count the degrees of freedom for the classical groups. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX

From playlist Lie Groups and Lie Algebras

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Xavier Gómez-Mont: Grothendieck residue in the Jacobian algebra and cup product in vanishing...

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

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Find a Particular Solution to a Nonhomgeneous DE Using Variation of Parameters

This video explains how to determine a particular solution to a linear second order differential equation using the method of variation of parameters. http://mathispower4u.com

From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters

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SU(4) Dirac Fermions on Honeycomb Lattice by Basudeb Mondal

DISCUSSION MEETING : APS SATELLITE MEETING AT ICTS ORGANIZERS : Ranjini Bandyopadhyay (RRI, India), Subhro Bhattacharjee (ICTS-TIFR, India), Arindam Ghosh (IISc, India), Shobhana Narasimhan (JNCASR, India) and Sumantra Sarkar (IISc, India) DATE & TIME: 15 March 2022 to 18 March 2022 VEN

From playlist APS Satellite Meeting at ICTS-2022

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Solving a multi step equation using distributive property

👉 Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To

From playlist How to Solve Multi Step Equations with Parenthesis on Both Sides

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Landau-Ginzburg - Seminar 5 - From quadratic forms to bicategories

This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this seminar Dan Murfet starts with quadratic forms and introduces Clifford algebras, their modules and bimodules and explains how these fit into a bicategory

From playlist Metauni

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[BOURBAKI 2017] 21/10/2017 - 2/4 - Simon RICHE

La théorie de Hodge des bimodules de Soergel [d'après Soergel et Elias-Williamson] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/In

From playlist BOURBAKI - 2017

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Differential Equations: A Double Root of the Characteristic Equation

Homogeneous, constant-coefficient differential equations have a characteristic or auxiliary equation. The solution(s) of this equation yield the particular solutions to the homogeneous differential equation which, when combined, produce a general solution. In this video, we explore the tri

From playlist Differential Equations

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Daniel Tataru: Global solutions for one dimensional dispersive models

HYBRID EVENT Recorded during the meeting "Non-linear PDEs in Fluid Dynamics " the May 09, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovi

From playlist Jean-Morlet Chair - Hieber/Monniaux

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Commutative algebra 66: Local complete intersection rings

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We define local complete intersection rings as regular local rings divided by a regular sequence. We give a few examples to il

From playlist Commutative algebra

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Ana-Maria Brecan: Deformation theory of twistor spaces of K3 surfaces​

Abstract: Twistor spaces of K3 surfaces are non-Kähler compact complex manifolds which play a fundamental role in the moduli theory of K3 surfaces. They come equipped with a holomorphic submersion to the complex projective line which under the period map corresponds to a twistor line in th

From playlist Algebraic and Complex Geometry

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Kirsten Wickelgren - Integrability Result for 𝔸^1-Euler Numbers

Notes: https://nextcloud.ihes.fr/index.php/s/q5f4YriEPGq6dBJ -- 𝔸^1-Euler numbers can be constructed with Hochschild homology, self-duality of Koszul complexes, pushforwards in 𝑆𝐿_𝑐 oriented cohomology theories, and sums of local degrees. We show an integrality result for 𝔸^1-Euler number

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

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Ex 3: General Solution to a Second Order DE Using Variation of Parameters (trig)

This video provides an example of how to determine the general solution to a linear second order nonhomogeneous differential equation. The general solution involves trigonometric functions. Site: http://mathispower4u.com

From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters

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Isotropic quadratic form | Algebraically closed field | If and only if | Linear subspace | Vector space | Linear algebra | Tangent space | Continuous function | Isomorphism | Projective space | Hilbert's Nullstellensatz | Definite quadratic form | Determinant | Dimension (vector space) | Symmetric bilinear form | Mathematics | Dual space | Field (mathematics) | Riemannian manifold | Ring (mathematics) | Isotropic line | Basis (linear algebra) | Bilinear form | Manifold | Quadratic form | Interval (mathematics) | Matrix (mathematics) | Pseudo-Riemannian manifold