Rotation | Four-dimensional geometry | Quaternions
In mathematics, the group of rotations about a fixed point in four-dimensional Euclidean space is denoted SO(4). The name comes from the fact that it is the special orthogonal group of order 4. In this article rotation means rotational displacement. For the sake of uniqueness, rotation angles are assumed to be in the segment [0, π] except where mentioned or clearly implied by the context otherwise. A "fixed plane" is a plane for which every vector in the plane is unchanged after the rotation. An "invariant plane" is a plane for which every vector in the plane, although it may be affected by the rotation, remains in the plane after the rotation. (Wikipedia).
From playlist Two Dimensional Linear Transformations
In this third part on Motion we take a look at constant circular motion.
From playlist Life Science Math: Vectors
#some2 Articles about computer graphics: https://iquilezles.org/ Ray marching tutorials: https://www.youtube.com/c/TheArtofCodeIsCool In this video I am trying to construct a visualization of 4D shapes
From playlist Summer of Math Exposition 2 videos
7 Rotation of reference frames
Ever wondered how to derive the rotation matrix for rotating reference frames? In this lecture I show you how to calculate new vector coordinates when rotating a reference frame (Cartesian coordinate system). In addition I look at how easy it is to do using the IPython notebook and SymPy
From playlist Life Science Math: Vectors
This clip gives describes a rotation matrix in 2D. The clip is from the book "Immersive Linear Algebra" available at http://www.immersivemath.com.
From playlist Chapter 6 - The Matrix
Minkowski Space-Time: Spacetime in Special Relativity
Includes discussion of the space-time invariant interval and how the axes for time and space transform in Special Relativity.
From playlist Physics
ʕ•ᴥ•ʔ Simple Example of Geometry Transformations Rotations
Quickly master rotation symmetry and transformation. Watch more lessons like this and try our practice at https://www.studypug.com/geometry/transformations/rotational-symmetry-and-transformations When an object is turned around its center of rotation to certain degrees and the object loo
From playlist Grade 9 Math (Canada)
Rotations in the Plane (3 methods for solving) - Geometry
http://www.youtube.com/vinteachesmath This video focuses on rotations about the origin. In particular, this video shows three methods for finding the image of a point after a rotation of 90 degrees about the origin. This video is appropriate for a student taking a course in Geometry. S
From playlist Geometry
Describing rotation in 3d with a vector
Learn how a three-dimensional vector can be used to describe three-dimensional rotation. This is important for understanding three-dimensional curl.
From playlist Multivariable calculus
Infrared Regularization of the Lorentzian IKKT Matrix Model and the Emergence.... by Jun Nishimura
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022
This lecture was held by Abel Laureate John Milnor at The University of Oslo, May 25, 2011 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2011 1. "Spheres" by Abel Laureate John Milnor, Institute for Mathematical
From playlist Abel Lectures
The meme that teaches relativity (Spacetime symmetries and the celestial sphere) #SoME2
Can a joke teach one of the most surprising aspects of relativity? How can we see four-dimensional transformations? What would we see if we accelerated to relativistic speeds? Mathematical jokes: https://en.wikipedia.org/wiki/Mathematical_joke Chapters: 0:00 The impossible triangle 1:11
From playlist Summer of Math Exposition 2 videos
AlgTop20: The geometry of surfaces
This lecture relates the two dimensional surfaces we have just classified with the three classical geometries- Euclidean, spherical and hyperbolic. Our approach to these geometries is non-standard (the usual formulations are in fact deeply flawed) and we concentrate on isometries, avoiding
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Lecture 4: Equivariant CNNs I (Euclidean Spaces) - Maurice Weiler
Video recording of the First Italian School on Geometric Deep Learning held in Pescara in July 2022. Slides: https://www.sci.unich.it/geodeep2022/slides/GroupEquivariantConvolutionalNetworksOnEuclideanSpaces.pdf
From playlist First Italian School on Geometric Deep Learning - Pescara 2022
A tale of two conjectures: from Mahler to Viterbo - Yaron Ostrover
Members' Seminar Topic: A tale of two conjectures: from Mahler to Viterbo. Speaker: Yaron Ostrover Affiliation: Tel Aviv University, von Neumann Fellow, School of Mathematics Date: November 19, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
12. Non-Euclidean Spaces: Open Universes and the Spacetime Metric
MIT 8.286 The Early Universe, Fall 2013 View the complete course: http://ocw.mit.edu/8-286F13 Instructor: Alan Guth In this lecture, the professor reviewed a closed three-dimensional space and implications of general relativity; and talked about open universe and the spacetime metric. Li
From playlist The Early Universe by Prof. Alan Guth
Non-Euclidean Geometry Explained - Hyperbolica Devlog #1
I present the easiest way to understand curved spaces, in both hyperbolic and spherical geometries. This is the first in a series about the development of Hyperbolica. Chapters: 0:00 Intro 0:24 Spherical Geometry 2:33 Hyperbolic Introduction 3:53 Projections 5:37 Non-Euclidean Weirdness
From playlist Fractals & Math
Stéphane Mallat: High dimensional learning from images to physics
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 30 years of wavelets
Transformations on the Number Plane (2 of 2: Rotation & Reflection)
More resources available at www.misterwootube.com
From playlist Basic Linear Relationships