Convex analysis | Convex geometry | Linear programming

Dual cone and polar cone

Dual cone and polar cone are closely related concepts in convex analysis, a branch of mathematics. (Wikipedia).

Dual cone and polar cone
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Hyperbolic Coordinates

In this video, I introduce the hyperbolic coordinates, which is a variant of polar coordinates that is particularly useful for dealing with hyperbolas (and 3 dimensional versions like hyperboloids of one sheet or two sheets). Suprisingly (or not), they involve the hyperbolic trig functions

From playlist Double and Triple Integrals

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Polar coordinate integral

This is a follow-up of the integral of exp(-x^2) video on blackpenredpen's channel, in case you're wondering how to get that extra factor of r in the integral. It's mathemagical! :D Here's the like to the original video: Gaussian Integral https://youtu.be/r9W8YWELXvg

From playlist Double and Triple Integrals

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"AWESOME Antigravity double cone" (science experiments)

Physics (la physique). Explain why double cone goes up on inclaned plane (science experiments)

From playlist MECHANICS

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Double Integrals in Polar Form - Volume Bounded by Two Paraboloids

This video explains how to use a double integral in polar form to determine the volume bounded to two paraboloids. http://mathispower4u.com

From playlist Double Integrals in Polar Coordinates

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Calculus 2: Polar Coordinates (1 of 38) What are Polar Coordinates?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are polar coordinates and Cartesian coordinates. The Cartesian coordinates use x and y to locate a point on a plane, and the polar coordinates use r and theta to locate a point on a plane

From playlist THE "WHAT IS" PLAYLIST

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Extending the Prym map - Samuel Grushevsky

Samuel Grushevsky Stony Brook University February 10, 2015 The Torelli map associates to a genus g curve its Jacobian - a gg-dimensional principally polarized abelian variety. It turns out, by the works of Mumford and Namikawa in the 1970s (resp. Alexeev and Brunyate in 2010s), that the T

From playlist Mathematics

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Spectrahedral lifts of convex sets – Rekha Thomas – ICM2018

Control Theory and Optimization Invited Lecture 16.6 Spectrahedral lifts of convex sets Rekha Thomas Abstract: Efficient representations of convex sets are of crucial importance for many algorithms that work with them. It is well-known that sometimes, a complicated convex set can be expr

From playlist Control Theory and Optimization

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Perpendicularity, polarity and duality on a sphere | Universal Hyperbolic Geometry 37

This video discusses perpendicularity on a sphere, associating two poles to every great circle, and one polar line (great circle) to every point. This association is cleaner in elliptic geometry, where there is then a 1-1 correspondence between elliptic points (pairs of antipodal points on

From playlist Universal Hyperbolic Geometry

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Inaugural Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk

Date: Wednesday, October 14, 10:00am EDT Speaker: Michael Friedlander, University of British Columbia Title: Polar deconvolution of mixed signals Abstract: The signal demixing problem seeks to separate the superposition of multiple signals into its constituent components. We model the s

From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

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Factorization through L2, Rounding and Duality Part 2 - Vijay Bhattiprolu

Computer Science/Discrete Mathematics Seminar II Topic: Factorization through L2, Rounding and Duality Part 2 Speaker: Vijay Bhattiprolu Affiliation: Member, School of Mathematics Date: November 24, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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The Three/Four bridge and Apollonius duality for conics | Six: A course in pure maths 5 | Wild Egg

The Three / Four bridge plays an important role in understanding the remarkable duality discover by Apollonius between points and lines in the plane once a conic is specified. This is a purely projective construction that works for ellipses, and their special case of a circle, for parabola

From playlist Six: An elementary course in Pure Mathematics

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Polar Coordinates and Graphing Polar Equations

Everything we have done on the coordinate plane so far has been using rectangular coordinates. That's the x and y we are used to. But that's not the only coordinate system. We can also use polar coordinates, which graph points in terms of a radius, or distance from a pole, and theta, the a

From playlist Mathematics (All Of It)

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Stanislaw Szarek: The projective/injective ratio and GPTs

Among natural tensor products of normed spaces, the projective and the injective are the extreme ones. The question : How much do they differ? was considered by Grothendieck and Pisier (in the 1950s and 1980s), but - surprisingly - no systematic quantitative analysis of the finite- dimensi

From playlist Workshop: High dimensional measures: geometric and probabilistic aspects

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Mirror symmetry from the SYZ base - Benjamin Gammage

Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Mirror symmetry from the SYZ base Speaker: Benjamin Gammage Affiliation: Harvard University Date: October 25, 2021

From playlist Mathematics

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Introduction to Double Integrals in Polar Coordinates

This video introduces double integrals in polar form and provides two examples of converting a double integral given in rectangular form to polar form. http://mathispower4u.wordpress.com/

From playlist Double Integrals in Polar Coordinates

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Radu Laza

https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu

From playlist Mathematics

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Double Integrals in Polar Coordinates - Example 2

This is a second example of how to rewrite a double integral given in rectangular form in polar form. http://mathispower4u.wordpress.com/

From playlist Double Integrals in Polar Coordinates

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Automorphic Cohomology II (Carayol's work and an Application) - Phillip Griffiths

Phillip Griffiths Professor Emeritus, School of Mathematics April 6, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Subset | Supporting hyperplane | Topological vector space | Hyperplane separation theorem | Hilbert space | Convex analysis | Hyperplane | Mathematics | Dual space | Dual system | Orthant | Convex cone | Bipolar theorem | Euclidean space | Polar set | Convex set | Closed set