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
Definition of V** (double dual) and an amazing miracle Dual Space Definition: https://youtu.be/OGO3HGlOQO4 Dual Spaces Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCs0fJDQnXgeuyFR8iQDwLV Subscribe to my channel: https://www.youtube.com/c/drpeyam
From playlist Dual Spaces
In this video, I show a very neat result about dual spaces: Namely, any basis of V* is automatically a dual basis of some basis of V. Even though this result is very interesting, it's the proof that makes this very exciting, by simply using the fact that V and V** are 'very' isomorphic. En
From playlist Dual Spaces
"AWESOME Antigravity double cone" (science experiments)
Physics (la physique). Explain why double cone goes up on inclaned plane (science experiments)
From playlist MECHANICS
(ML 7.6) Beta-Bernoulli model (part 2)
The Beta distribution is a conjugate prior for the Bernoulli. We derive the posterior distribution and the (posterior) predictive distribution under this model.
From playlist Machine Learning
(ML 7.5) Beta-Bernoulli model (part 1)
The Beta distribution is a conjugate prior for the Bernoulli. We derive the posterior distribution and the (posterior) predictive distribution under this model.
From playlist Machine Learning
In this video, I show how to explicitly calculate dual bases. More specifically, I find the dual basis corresponding to the basis (2,1) and (3,1) of R^2. Hopefully this will give you a better idea of how dual bases work. Subscribe to my channel: https://www.youtube.com/c/drpeyam What is
From playlist Dual Spaces
An extension of the single particle model considering the consequence of pairing of nuclei and whether the nuclear characteristics are dependent on the lone unpaired nucleon.
From playlist Nuclear Physics
What is General Relativity? Lesson 47: The double dual of the Riemann tensor
What is General Relativity? Lesson 47: The double dual of the Riemann Tensor The double dual of the Riemann tensor is an obscure object but it gives us a chance to quickly review 2-forms. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discuss
From playlist What is General Relativity?
What is a Tensor? Lesson 23: Operations on p-forms. The Exterior Algebra.
What is a Tensor? Lesson 23: Operations on p-forms. The Exterior Algebra.
From playlist What is a Tensor?
Zakhar Kabluchko: Random Polytopes, Lecture III
In these three lectures we will provide an introduction to the subject of beta polytopes. These are random polytopes defined as convex hulls of i.i.d. samples from the beta density proportional to (1 − ∥x∥2)β on the d-dimensional unit ball. Similarly, beta’ polytopes are defined as convex
From playlist Workshop: High dimensional spatial random systems
[Lesson 2] QED Prerequisites Dirac Formalism Part 2
In this second lesson on the Dirac formalism we make the connection between bras and kets by defining the "dual correspondence" via an inner product on V. Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lect
From playlist QED- Prerequisite Topics
What is a Tensor 6: Tensor Product Spaces
What is a Tensor 6: Tensor Product Spaces There is an error at 15:00 which is annotated but annotations can not be seen on mobile devices. It is a somewhat obvious error! Can you spot it? :)
From playlist What is a Tensor?
What is a Tensor? Lesson 12 (redux): Contraction and index gymnastics
What is a Tensor? Lesson 12 (redux): Contraction and index gymnastics I have redone the index gymnastics lecture to try and fill in the details regarding contractions. I will keep them both in the playlist for now.
From playlist What is a Tensor?
Optimal Transport Methods and Applications to Statistics and... (Lecture 2) by Jose Blanchet
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
Lecture 4: k-Forms (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
Tao Hou (5/13/20): Computing minimal persistent cycles: Polynomial and hard cases
Title: Computing minimal persistent cycles: Polynomial and hard cases Abstract: Persistent cycles, especially the minimal ones, are useful geometric features functioning as augmentations for the intervals in the purely topological persistence diagrams (also termed as barcodes). In our ear
From playlist AATRN 2020
The Beta Function: Deriving its TRIGONOMETRIC EQUIVALENT!
Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Outtake: https://youtu.be/7OnsKwFC_FM Beta Int
From playlist Integrals