Algebraic geometry

Hartshorne ellipse

In mathematics, a Hartshorne ellipse is an ellipse in the unit ball bounded by the 4-sphere S4 such that the ellipse and the circle given by intersection of its plane with S4 satisfy the Poncelet condition that there is a triangle with vertices on the circle and edges tangent to the ellipse. They were introduced by Hartshorne, who showed that they correspond to k = 2 instantons on S4. (Wikipedia).

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Ellipsoid

http://demonstrations.wolfram.com/Ellipsoid/ The Wolfram Demonstration Project contains thousands of free interactive visualizations with new entries added daily. An ellipsoid is a quadratic surface given by a^2/x^2+b^2/y^2+c^2/z^2=1 Contributed by Jeff Bryant

From playlist Wolfram Demonstrations Project

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How to draw an ellipse like a boss

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algebraic geometry 3 Bezout, Pappus, Pascal

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives more examples and applications of algebraic geometry, including Bezout's theorem, Pauppus's theorem, and Pascal's theorem.

From playlist Algebraic geometry I: Varieties

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algebraic geometry 32 Elliptic functions and cubic curves

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the relation between elliptic functions and cubic curves, and uses this to show that cubic curves are not rational.

From playlist Algebraic geometry I: Varieties

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algebraic geometry 5 Affine space and the Zariski topology

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of affine space and its Zariski topology.

From playlist Algebraic geometry I: Varieties

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Algebraic geometry 2 Two cubic curves.

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It discusses two examples of cubic curves: a nodal cubic, and an elliptic curve.

From playlist Algebraic geometry I: Varieties

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Algebra - Ch. 39: Ellipse (2 of 8) The Equation of an Ellipse Compared to a Circle

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the differences between the general equation of an ellipse and a circle. Next video in this series can be seen at: htt

From playlist ALGEBRA CH 39 THE ELLIPSE

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Deriving the Ellipse Equation #short

This is a short, only meant to show the full scope of the derivation. Complete video explanation in the link below: https://youtu.be/5TQMJ09MLWM

From playlist #shorts mathematicsonline

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Ancient Aliens: UFO HAUNTS 10-YEAR-OLD BOY (Season 19)

He didn't tell anyone what he saw for YEARS. See more in this scene from Season 19, Episode 5, "The MUFON Files." Watch all new episodes of Ancient Aliens, Fridays, at 9/8c, and next day on The HISTORY Channel website at http://history.com/schedule. #AncientAliens Subscribe for more fro

From playlist Ancient Aliens: Official Series Playlist | New Episodes Fridays at 9/8c | History

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The Ellipse

Watch more videos on http://www.brightstorm.com/math/algebra-2 SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► http

From playlist Algebra II

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Anthony Bordg - How to Do Maths Without Dependent Types

What can be done when formalising mathematics without dependent types? I will give you new insights into this question by exploring the capability and possible limitations of the Isabelle/HOL proof assistant. I will explain what we learnt formalising Grothendieck's schemes using only Isabe

From playlist Workshop Schlumberger 2022 : types dépendants et formalisation des mathématiques

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Algebraic geometry 42: Resultants

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces elimination theory and reviews resultants. Reading: Hartshorne, Algebraic geometry, page 35.

From playlist Algebraic geometry I: Varieties

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How to determine the foci vertices and center of an ellipse in general form

Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard form using completing the square. After the equation h

From playlist How to Graph Vertical Ellipse (General Form) #Conics

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Study of the nonabelian Hodge correspondence at infinity (Lecture 4) by Carlos Simpson

INFOSYS-ICTS RAMANUJAN LECTURES EXPLORING MODULI SPEAKER: Carlos Simpson (Université Nice-Sophia Antipolis, France) DATE: 10 February 2020 to 14 February 2020 VENUE: Madhava Lecture Hall, ICTS Campus Lecture 1: Exploring Moduli: basic constructions and examples 4 PM, 10 February 2020

From playlist Infosys-ICTS Ramanujan Lectures

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Learn how to graph an ellipse

Learn how to graph vertical ellipse centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major radius and the minor radius and the center. These properties e

From playlist How to Graph Vertical Ellipse (Not At Origin) #Conics

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Two Ellipse Roller

Two ellispe roller is a extension of two circle roller. When it rolls on a plane,the center of gravity stays at a constant distance from the plane. This is a convex hull of two ellipses.The ellipse's constats are a=15,b=21,the distance between two ceteres of ellipse c=3*root(2). Buy at htt

From playlist 3D printed toys

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The rising sea: Grothendieck on simplicity and generality - Colin McLarty [2003]

Slides for this talk: https://drive.google.com/file/d/1yDmqhdcKo6-YpDpRdHh2hvuNirZVbcKr/view?usp=sharing Notes for this talk: https://drive.google.com/open?id=1p45B3Hh8WPRhdhQAd0Wq0MvmY0JYSnmc The History of Algebra in the Nineteenth and Twentieth Centuries April 21 - 25, 2003 Colin Mc

From playlist Mathematics

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CTNT 2020 - Curves over Finite Fields (by Soumya Sankar) - Lecture 1

The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2020 - Curves over Finite Fields (by Soumya Sankar)

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How to find the center, vertices and foci of an ellipse

Learn how to graph horizontal ellipse centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the major radius (a) and the minor radius (b) and the center. Th

From playlist How to Graph Horizontal Ellipse (At Origin) #Conics

Related pages

Unit ball | Ellipse