In algebraic geometry, the secant variety , or the variety of chords, of a projective variety is the Zariski closure of the union of all secant lines (chords) to V in : (for , the line is the tangent line.) It is also the image under the projection of the closure Z of the . Note that Z has dimension and so has dimension at most . More generally, the secant variety is the Zariski closure of the union of the linear spaces spanned by collections of k+1 points on . It may be denoted by . The above secant variety is the first secant variety. Unless , it is always singular along , but may have other singular points. If has dimension d, the dimension of is at most .A useful tool for computing the dimension of a secant variety is . (Wikipedia).
From playlist the absolute best of stereolab
Stereolab, "Vonal declosion". From the album "Margerine Eclipse" (2004). Ah c'est un travail que cet amour qui fait souffrir Qui frustre quand on n'arrive pas a s'ouvrir Le carcan le control semblent alors plus faciles Ne reservent pourtant que des temps difficiles. On le force on le cr
From playlist the absolute best of stereolab
From playlist the absolute best of stereolab
stereolab - puncture in the radax permutation
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From playlist the absolute best of stereolab
Jarosław Buczyński (6/29/17) Bedlewo: Constructions of k-regular maps using finite local schemes
A continuous map R^m → R^N or C^m → C^N is called k-regular if the images of any k distinct points are linearly independent. Given integers m and k a problem going back to Chebyshev and Borsuk is to determine the minimal value of N for which such maps exist. The methods of algebraic topolo
From playlist Applied Topology in Będlewo 2017
Tangent Properties - Circle Geometry (Tangent is perpendicular to radius)
More resources available at www.misterwootube.com
From playlist Circle Geometry
On the Complexity of Matrix Multiplication and Other Tensors - Joseph Landsberg
Joseph Landsberg Texas A&M University November 20, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
From the album Margerine Eclipse
From playlist the absolute best of stereolab
Jason Morton: "An Algebraic Perspective on Deep Learning, Pt. 2"
Graduate Summer School 2012: Deep Learning, Feature Learning "An Algebraic Perspective on Deep Learning, Pt. 2" Jason Morton, Pennsylvania State University Institute for Pure and Applied Mathematics, UCLA July 20, 2012 For more information: https://www.ipam.ucla.edu/programs/summer-scho
From playlist GSS2012: Deep Learning, Feature Learning
Jason Morton: "An Algebraic Perspective on Deep Learning, Pt. 1"
Graduate Summer School 2012: Deep Learning, Feature Learning "An Algebraic Perspective on Deep Learning, Pt. 1" Jason Morton, Pennsylvania State University Institute for Pure and Applied Mathematics, UCLA July 19, 2012 For more information: https://www.ipam.ucla.edu/programs/summer-scho
From playlist GSS2012: Deep Learning, Feature Learning
The Product and Quotient Rule With Trigonometric Functions
This video explains how to determine the derivatives of trigonometric functions using the product and quotient rule. http://mathispower4u.wordpress.com/
From playlist Differentiation
Integration By Trigonometric Substitution
We've got two techniques in our bag of tricks, the substitution rule and integration by parts, so it's time to learn the third and final, and that's integration by trigonometric substitution. This is probably the toughest one, and it only works in very specific circumstances, but when thos
From playlist Calculus
Abstraction - Seminar 2 - Resolution I, blowing up
This seminar series is on the relations among Natural Abstraction, Renormalisation and Resolution. This week Daniel Murfet gives an introduction to blowing up an affine algebraic variety at a point. The webpage for this seminar is https://metauni.org/abstraction/ You can join this semina
From playlist Abstraction
Art is for everyone! What is ROCOCO?
A quick definition of "rococo." Art Lover: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.paypal.m
From playlist Art glossary