Projective geometry

Projective transformation

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Linear Transformations

Showing something is a linear transformation Check out my Linear Equations playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmD_u31hoZ1D335sSKMvVQ90 Subscribe to my channel: https://www.youtube.com/channel/UCoOjTxz-u5zU0W38zMkQIFw

From playlist Linear Transformations

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Invertible Transformations

Description: Corresponding to our algebraic notion of invertibility, we want a geometric notion. Invertible transformations are defined, and then proven to be equivalent (thank goodness!) to invertible matrices when linear. Learning Objectives: 1) Define an invertible transformation 2) D

From playlist Older Linear Algebra Videos

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What is a transformation vector

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

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2.2.2 What is a linear transformation?

2.2.2 What is a linear transformation?

From playlist LAFF - Week 2

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Linear Transformations and Linear Systems

In this video we discuss linear transformations. We start by examining the mathematical definition of a linear transformation and apply it to several examples including matrix multiplication and differentiation. We then see how linear transformations relate to linear systems (AKA linear

From playlist Linear Algebra

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30. Linear Transformations and Their Matrices

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 30. Linear Transformations and Their Matrices License: Creative Commons BY-NC-SA More informat

From playlist MIT 18.06 Linear Algebra, Spring 2005

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Why ct² - x² is Invariant under Lorentz Transformation

Derivation of the Lorentz transformation matrix: https://youtu.be/6f_yxbtM2TI The spacetime interval s^2 = ct^2 - x^2 is important in special relativity because it stays the same in all inertial reference frames. Here we use some linear algebra to give a proof of exactly why this interval

From playlist Special Relativity

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Geometric Algebra - Linear Transformations, Outermorphism, and the Determinant

In this video, we will review some basic concepts from linear algebra, such as the linear transformation, prove important theorems which ground matrix operations, extend the linear transformation on vectors to higher-graded elements to bivectors and trivectors, and define the determinant o

From playlist Geometric Algebra

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Lecture 9: Computational imaging: a survey of medical and scientific applications

MIT MAS.531 Computational Camera and Photography, Fall 2009 Instructor: Douglas Lanman (guest lecturer from Brown University) View the complete course: https://ocw.mit.edu/courses/mas-531-computational-camera-and-photography-fall-2009/ YouTube Playlist: https://www.youtube.com/playlist?li

From playlist MIT MAS.531 Computational Camera and Photography, Fall 2009

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The Projective Perspective of Perspective Projection

Slim Engine (My software that I use to make this video): https://github.com/HardCoreCodin/SlimEngine 3b1b's Summer of Math Explainers competition (SoME1) landing page: https://www.3blue1brown.com/blog/some1 Music: "Memories" from Bensound.com

From playlist Summer of Math Exposition Youtube Videos

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Linformer: Self-Attention with Linear Complexity (Paper Explained)

Transformers are notoriously resource-intensive because their self-attention mechanism requires a squared number of memory and computations in the length of the input sequence. The Linformer Model gets around that by using the fact that often, the actual information in the attention matrix

From playlist Papers Explained

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OpenGL - model transform and projection

Code samples derived from work by Joey de Vries, @joeydevries, author of https://learnopengl.com/ All code samples, unless explicitly stated otherwise, are licensed under the terms of the CC BY-NC 4.0 license as published by Creative Commons, either version 4 of the License, or (at your o

From playlist OpenGL

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Dot products and duality | Chapter 9, Essence of linear algebra

Why the formula for dot products matches their geometric intuition. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Home page: https://www.3blue1brown.com/ Dot products are a nice geometric tool for

From playlist Essence of linear algebra

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Roland Memisevic: "Multiview Feature Learning, Pt. 2"

Graduate Summer School 2012: Deep Learning, Feature Learning "Multiview Feature Learning, Pt. 2" Roland Memisevic, Johann Wolfgang Goethe-Universität Frankfurt Institute for Pure and Applied Mathematics, UCLA July 25, 2012 For more information: https://www.ipam.ucla.edu/programs/summer-

From playlist GSS2012: Deep Learning, Feature Learning

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