Generalized Coordinates & Equations of Motion | Classical Mechanics
When we consider a system of objects in classical mechanics, we can describe those objects with many different coordinate systems. Sometimes cartesian coordinates are most useful, some other times we might choose cylindrical coordinates. But there is also a way to view this system independ
From playlist Classical Mechanics
The Generalized Neighborhood Base Construction
The generalized neighborhood base construction of a topology is a tool for creating topological spaces some of which end up being important counterexamples in the study of general topological spaces. The construction takes its inspiration from the ability to form a base for topology from a
From playlist The CHALKboard 2022
This is the Map of Quantum Physics and quantum mechanics covering everything you need to know about this field in one image. Check out this video's sponsor https://brilliant.org/dos And grab this poster here: https://store.dftba.com/collections/domain-of-science/products/map-of-quantum-phy
From playlist The Map of Quantum Physics Expanded
Definition of linear map. Algebraic properties of linear maps.
From playlist Linear Algebra Done Right
The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning
Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an
From playlist Maths Topics
Geometric applications of derived categories - Alexander Perry
Short talks by postdoctoral members Topic: Geometric applications of derived categories Speaker: Alexander Perry Affiliation: Member, School of Mathematics Date: September 24 For more video please visit http://video.ias.edu
From playlist Mathematics
We introduce the idea of "generalized vector spaces" through the example of 2nd order polynomials.
From playlist Mathematical Physics I Uploads
[Rust Programming] Learning to make a Roguelike - Day 34
[Recorded on 19 November, 2021] I've been playing Roguelikes for many years, and I've always thought about making one! Combine that with a desire to learn Rust, and we've got a match made in heaven. This session was recorded live from twitch on 19 November. I'm using the Roguelike Tutori
From playlist [Rust Programming] Writing Roguelike using RLTK
Twisted generating functions and the nearby Lagrangian conjecture - Sylvain Courte
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Twisted generating functions and the nearby Lagrangian conjecture Speaker: Sylvain Courte Affiliation: Université Grenoble Alpes Date: February 26, 2021 For more video please visit http://video.ias.edu Courte-2021-02
From playlist Mathematics
Séverin Charbonnier: Topological recursion for fully simple maps
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Fully simple maps show strong relations with symplectic invariance of topological recursion and free probabilities. While ordinary maps satisfy topological recursion
From playlist Noncommutative geometry meets topological recursion 2021
Georg Biedermann - Higher Sheaves
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Joint work with Mathieu Anel, Eric Finster, and André Joyal Even though on the surface the theories look similar, there are basic differences between the classical theory of 1-t
From playlist Toposes online
Michael Drmota: Vertex degrees in planar maps
Abstract: We consider the family of rooted planar maps MΩ where the vertex degrees belong to a (possibly infinite) set of positive integers Ω. Using a classical bijection with mobiles and some refined analytic tools in order to deal with the systems of equations that arise, we recover a un
From playlist Probability and Statistics
[Rust | nvim] My Own Roguelike - Improved Map Handling
Up until now, the program would generate a list of rooms, which we would just draw on the screen. In this video, I convert that data structure into a set of "tiles" that we can expand on in future work. Once that's done, as a side benefit the screen drawing code is vastly simplified! Ther
From playlist ProgRog
Lecture 27. Properties of tensor products
0:00 Use properties of tensor products to effectively think about them! 0:50 Tensor product is symmetric 1:17 Tensor product is associative 1:42 Tensor product is additive 21:40 Corollaries 24:03 Generators in a tensor product 25:30 Tensor product of f.g. modules is itself f.g. 32:05 Tenso
From playlist Abstract Algebra 2
[Rust Programming] Learning to make a Roguelike - Day 50
[Recorded on 31 December, 2021] I've been playing Roguelikes for many years, and I've always thought about making one! Combine that with a desire to learn Rust, and we've got a match made in heaven. This session was recorded live from twitch on 31 December. I'm using the Roguelike Tutori
From playlist [Rust Programming] Writing Roguelike using RLTK
Stable Homotopy Seminar, 7: Constructing Model Categories
A stroll through the recognition theorem for cofibrantly generated model categories, using it to construct (1) the Quillen/Serre model structure on topological spaces and (2) the levelwise model structure on spectra. The latter captures the idea that spectra are sequences of spaces, but no
From playlist Stable Homotopy Seminar
Introduction to Projective Geometry (Part 1)
The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.
From playlist Introduction to Projective Geometry
Sucharit Sarkar - Khovanov homotopy type
June 29, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry II
Rational trigonometry, generalized triangle geometry and four-fold incenter symmetry
This is a seminar talk given to the School of Mathematics and Statistcs, UNSW in April 2013. It describes joint work with Nguyen Le on a generalized triangle geometry. We begin with an introduction to rational trigonometry--an approach to the subject that is almost purely algebraic, replac
From playlist MathSeminars