In algebraic geometry, given a projective algebraic hypersurface C described by the homogeneous equation and a point its polar hypersurface Pa(C) is the hypersurface where ƒi are the partial derivatives. The intersection of C and Pa(C) is the set of points p such that the tangent at p to C meets a. (Wikipedia).
Polar Coordinates: Dynamic Illustrator
Link: https://www.geogebra.org/m/guCcvwFP
From playlist Trigonometry: Dynamic Interactives!
Writing Equivalent Polar Coordinates Quiz
Link: https://www.geogebra.org/m/MxAvq5Yt
From playlist Trigonometry: Dynamic Interactives!
Traveling the Antarctic Ice Sheet
http://icestories.exploratorium.edu On their way to measure GPS stakes on the West Antarctic Ice Sheet (WAIS), glaciologists walk us through their plan and gear for the ski-doo journey.
From playlist Ice Stories: Dispatches from Polar Scientists
Apollonius and polarity | Universal Hyperbolic Geometry 1 | NJ Wildberger
This is the start of a new course on hyperbolic geometry that features a revolutionary simplifed approach to the subject, framing it in terms of classical projective geometry and the study of a distinguished circle. This subject will be called Universal Hyperbolic Geometry, as it extends t
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
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
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
What is the definition of a hyperbola
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two foci. Some of the characteristics of a hyperbola includ
From playlist The Hyperbola in Conic Sections
Alex Dimca: Hodge theory and syzygies of the Jacobian ideal
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Introduction to Polar Coordinates
Watch more videos on http://www.brightstorm.com/math/precalculus 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 ► ht
From playlist Precalculus
Essential Cosmological Perturbation Theory by David Wands
PROGRAM : PHYSICS OF THE EARLY UNIVERSE - AN ONLINE PRECURSOR ORGANIZERS : Robert Brandenberger (McGill University, Montreal, Canada), Jerome Martin (Institut d'Astrophysique de Paris, France), Subodh Patil (Instituut-Lorentz for Theoretical Physics, Leiden, Netherlands) and L Sriramkumar
From playlist Physics of The Early Universe - An Online Precursor
Alexandru Dimca: Betti numbers of hypersurfaces and defects of linear systems III
Abstract: Our approach is a generalization of Griffiths' results expressing the cohomology ofa smooth hypersurface V: f=0 in a projective space \mathbb{P}^n in terms of some graded pieces of the Jacobian algebra of f. We will start by recalling these classical results. Then we explain t
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Vector Bundles in Algebraic Geometry by Poorna Narayanan
ICTS In-house 2022 Organizers: Chandramouli, Omkar, Priyadarshi, Tuneer Date and Time: 20th to 22nd April, 2022 Venue: Ramanujan Hall inhouse@icts.res.in An exclusive three-day event to exchange ideas and research topics amongst members of ICTS.
From playlist ICTS In-house 2022
Mihnea Popa: Hodge filtration and birational geometry
CONFERENCE Recorded during the meeting "D-Modules: Applications to Algebraic Geometry, Arithmetic and Mirror Symmetry" the April 14, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by
From playlist Algebraic and Complex Geometry
David B. Massey - "From the Milnor Number to the Characteristic Cycle of the Vanishing Cycles"
Research lecture at the Worldwide Center of Mathematics
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
R. Lazarsfeld: The Equations Defining Projective Varieties. Part 1
The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometry. (7.1.2014)
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
David Masser: Avoiding Jacobians
Abstract: It is classical that, for example, there is a simple abelian variety of dimension 4 which is not the jacobian of any curve of genus 4, and it is not hard to see that there is one defined over the field of all algebraic numbers \overline{\bf Q}. In 2012 Chai and Oort asked if ther
From playlist Algebraic and Complex Geometry
D-modules in birational geometry – Mihnea Popa – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.10 D-modules in birational geometry Mihnea Popa Abstract: I will give an overview of techniques based on the theory of mixed Hodge modules, which lead to a number of applications of a rather elementary nature in birational and complex geom
From playlist Algebraic & Complex Geometry
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)
Jeffrey Winicour - Multi-Messenger Aspects of Characteristic Evolution - IPAM at UCLA
Recorded 7 October 2021. Jeffrey Winicour of the University of Pittsburgh presents "Multi-Messenger Aspects of Characteristic Evolution at IPAM's Workshop I: Computational Challenges in Multi-Messenger Astrophysics. Abstract: I review the characteristic evolution of coupled gravitational
From playlist Workshop: Computational Challenges in Multi-Messenger Astrophysics