Bilinear forms | Functional analysis
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).
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
*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
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
Advanced Knowledge Problem of the Week: 3-9-17
Ryan goes from quadratic to bilinear!
From playlist Center of Math: Problems of the Week
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
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
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
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
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
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
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
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
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
[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
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
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
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
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
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
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