Dual basis definition and proof that it's a basis In this video, given a basis beta of a vector space V, I define the dual basis beta* of V*, and show that it's indeed a basis. We'll see many more applications of this concept later on, but this video already shows that it's straightforwar
From playlist Dual Spaces
Determine the Basis for a Set of Four Vectors in R3
This video explains how to determine the basis of a set of vectors in R3. https://mathispower4u.com
From playlist Linear Independence and Bases
Chern Medal Lecture: Crystal bases and categorifications — Masaki Kashiwara — ICM2018
Crystal bases and categorifications Masaki Kashiwara Abstract: A crystal basis is a basis at q=0 of the half U−q (g) of a quantum group U q (g) . It lifts to a true basis in two ways: a lower global basis and an upper global basis. At q=1 , the upper global basis becomes a basis of th
From playlist Special / Prizes Lectures
11.4.1 The Unit Basis Vectors, One More Time
11.4.1 The Unit Basis Vectors, One More Time
From playlist LAFF Week 11
Some 20+ year old problems about Banach spaces and operators on them – W. Johnson – ICM2018
Analysis and Operator Algebras Invited Lecture 8.17 Some 20+ year old problems about Banach spaces and operators on them William Johnson Abstract: In the last few years numerous 20+ year old problems in the geometry of Banach spaces were solved. Some are described herein. © Internatio
From playlist Analysis & Operator Algebras
Thomas Ransford: Constructive polynomial approximation in Banach spaces of holomorphic functions
Recording during the meeting "Interpolation in Spaces of Analytic Functions" the November 21, 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
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Basis for a Set of Vectors. In this video, I give the definition for a apos; basis apos; of a set of vectors. I think proceed to work an example that shows thr
From playlist Linear Algebra
Multivariable Calculus | Unit Vectors
We define a unit vector, the unit basis vectors, and give some associated examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
Bourgain–Delbaen ℒ_∞-spaces and the scalar-plus-compact property – R. Haydon & S. Argyros – ICM2018
Analysis and Operator Algebras Invited Lecture 8.16 Bourgain–Delbaen ℒ_∞-spaces, the scalar-plus-compact property and related problems Richard Haydon & Spiros Argyros Abstract: We outline a general method of constructing ℒ_∞-spaces, based on the ideas of Bourgain and Delbaen, showing how
From playlist Analysis & Operator Algebras
Estimate the Correlation Coefficient Given a Scatter Plot
This video explains how to estimate the correlation coefficient given a scatter plot.
From playlist Performing Linear Regression and Correlation
E. Fricain - Systèmes représentant dans les espaces de Hilbert de fonctions analytiques
Dans les espaces de Banach de dimension infinie, la notion de base de Schauder est classique et bien étudi ée. Elle permet de représenter tout élément de l’espace comme une série des éléments de la base de Schauder. Si on omet l’unicité des coefficients dans
From playlist Rencontres du GDR AFHP 2019
The dynamical Φ43Φ34 model: derivation of the renormalised equations - Martin Hairer
Martin Hairer University of Warwick March 5, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Félix Otto: The matching problem
The optimal transport between a random atomic measure described by the Poisson point process and the Lebesgue measure in d-dimensional space has received attention in diverse communities. Heuristics suggest that on large scales, the displacement potential, which is a solution of the highly
From playlist Probability and Statistics
35 - Properties of bases (continued)
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
William B. Johnson: Ideals in L(L_p)
Abstract: I’ll discuss the Banach algebra structure of the spaces of bounded linear operators on ℓp and Lp := Lp(0,1). The main new results are 1. The only non trivial closed ideal in L(Lp), 1 ≤ p [is less than] ∞, that has a left approximate identity is the ideal of compact operators (joi
From playlist Analysis and its Applications
Felix Otto: Singular quasi-linear stochastic PDEs IV
The lecture was held within the of the Hausdorff Junior Trimester Program: Randomness, PDEs and Nonlinear Fluctuations Abstract: We are interested in parabolic differential equations δ_tu-a(u)δ^2_xu = ξ with rough, typically random, forcing ξ, and a local non-linearity a(u) in the leading
From playlist Summer School "New Frontiers in Singular SPDEs and Scaling Limits"
C. De Lellis - Center manifolds and regularity of area-minimizing currents (Part 4)
A celebrated theorem of Almgren shows that every integer rectifiable current which minimizes (locally) the area is a smooth submanifold except for a singular set of codimension at most 2. Almgren’s theorem is sharp in codimension higher than 1, because holomorphic subvarieties of Cn are ar
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Lecture 21. Aligned bases theorem
Notes by Keith Conrad to follow along: https://kconrad.math.uconn.edu/blurbs/linmultialg/modulesoverPID.pdf
From playlist Abstract Algebra 2
C. De Lellis - Center manifolds and regularity of area-minimizing currents (Part 5)
A celebrated theorem of Almgren shows that every integer rectifiable current which minimizes (locally) the area is a smooth submanifold except for a singular set of codimension at most 2. Almgren’s theorem is sharp in codimension higher than 1, because holomorphic subvarieties of Cn are ar
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications