What is (a) Space? From Zero to Geo 1.5
What is space? In this video, we learn about the many different things that we might call "space". We come up with both a geometric and an algebraic definition, and the discussion also leads us to the important concept of subspaces. Sorry for how long this video took to make! I mention
From playlist From Zero to Geo
From playlist Unlisted LA Videos
Linear Algebra 2L: The Zero Vector - Does Nothing, Yet so Important!
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
Does space mean emptiness? How do you describe it?
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From playlist Science Unplugged: Physics
What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:
From playlist Science Unplugged: Physics
Null Space: Is a Vector in a Null Space? Find a Basis for a Null Space
This video explains how to determine if a vector is in a null space and how to find a basis for a null space.
From playlist Column and Null Space
WildLinAlg17: Rank and Nullity of a Linear Transformation
We begin to discuss linear transformations involving higher dimensions (ie more than three). The kernel and the image are important spaces, or properties of vectors, associated to a linear transformation. The corresponding dimensions are the nullity and the rank, and they satisfy a simple
From playlist A first course in Linear Algebra - N J Wildberger
Introduction to Projective Geometry (Part 3)
At long last! I'm rambling on about projective space again. Will it last? Who knows!?
From playlist Introduction to Projective Geometry
Daniel Friedan - Where does quantum field theory come from?
Daniel Friedan (Rutgers Univ.) Where does quantum field theory come from? This will be an interim report on a long-running project to construct a mechanism that produces spacetime quantum field theory; to indentify possible exotic, non-canonical low- energy phenomena in SU(2) and SU(3) gau
From playlist Conférence à la mémoire de Vadim Knizhnik
Applied topology 6: Homology Abstract: We give a visual introduction to homology groups. Roughly speaking, i-dimensional homology "counts the number of i-dimensional holes" in a space. This video accompanies the class "Topological Data Analysis" at Colorado State University: https://www.
From playlist Applied Topology - Henry Adams - 2021
WildLinAlg16: Applications of row reduction II
This video looks at various applications of row reduction to working with vectors and linear transformations in 2 and 3 dimensional space. We look at transformations given by 2x3 and by 3x2 matrices, along with the important notions of spanning sets and linearly independent sets of vector
From playlist A first course in Linear Algebra - N J Wildberger
Why Isn't "Zero G" the Same as "Zero Gravity"?
This Quick Question explains the difference between gravity and g-force, and how you can experience zero-g in space even when it’s not zero gravity! ---------- Like SciShow? Want to help support us, and also get things to put on your walls, cover your torso and hold your liquids? Check out
From playlist Uploads
An introduction to persistent homology
Title: An introduction to persistent homology Venue: Webinar for DELTA (Descriptors of Energy Landscape by Topological Analysis Abstract: This talk is an introduction to applied and computational topology, in particular as related to the study of energy landscapes arising in chemistry. W
From playlist Tutorials
Systems of Differential Equations: Diagonalization and Jordan Canonical Form
It is only possible to perfectly diagonalize certain systems of linear differential equations. For the more general cases, it is possible to "block-diagonalize" the system into what is known as Jordan Canonical Form. This video explores these various options and derives the fully general
From playlist Engineering Math: Differential Equations and Dynamical Systems
Yevgeny Liokumovich (9/10/21): Urysohn width, isoperimetric inequalities and scalar curvature
There exists a positive constant c(n) with the following property. If M is a metric space, such that every ball B of radius 1 in M has Hausdorff n-dimensional measure less than c(n), then there exists a continuous map f from M to (n-1)-dimensional simplicial complex, such that every pre-im
From playlist Vietoris-Rips Seminar
Tropical Geometry - Lecture 5 - Fundamental Theorem | Bernd Sturmfels
Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)
From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels
algebraic geometry 19 The Veronese surface and the variety of lines in space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers two examples of projective varieties: the Veronese surface in 5-dimensional projective space, and the variety of all lines in 3-dimensional space.
From playlist Algebraic geometry I: Varieties
Teach Astronomy - The Shape of Space
http://www.teachastronomy.com/ According to the theory of general relativity, the universe and the space we live in may actually have a shape, and the shape need not be the flat infinite space described by Euclidean geometry. Infinite space will be flat, but curved space could be finite o
From playlist 22. The Big Bang, Inflation, and General Cosmology