Elementary geometry

Locus (mathematics)

In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions. In other words, the set of the points that satisfy some property is often called the locus of a point satisfying this property. The use of the singular in this formulation is a witness that, until the end of the 19th century, mathematicians did not consider infinite sets. Instead of viewing lines and curves as sets of points, they viewed them as places where a point may be located or may move. (Wikipedia).

Locus (mathematics)
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Locus in a Plane Examples

How to find Locus in a Plane. We go through how to find these sets of points in a number of examples in this free math video tutorial by Mario's Math Tutoring. 0:23 What is a Locus 0:32 Example 1 Find the Locus of Points that are 3 Inches From a Circle of Radius 5 Inches in a Plane. 2:23

From playlist Locus

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Introduction to Locus (2 of 3: Perpendicular Bisectors)

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From playlist Further Work with Functions (related content)

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Locus in Space Examples

How to find the locus of points in space. We go through some examples in 3 dimensions in this free math video tutorial by Mario's Math Tutoring. 0:30 What are Loci 0:40 How to Describe a Locus of Points and Find the Pattern 0:58 Example 1 Locus of Points that are 3 inches from a Sphere o

From playlist Locus

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Introduction to Locus (1 of 3: Concept & Definition)

More resources available at www.misterwootube.com

From playlist Further Work with Functions (related content)

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Locus: A Surprising Definition of a Familiar Shape

More resources available at www.misterwootube.com

From playlist Further Work with Functions (related content)

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Olivier Benoist: Algebraic approximation of submanifolds of real algebraic varieties

CONFERENCE Recording during the thematic meeting : "Real Aspects of Geometry" the November 1, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audi

From playlist Algebraic and Complex Geometry

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Michele Ancona: Rarefaction of maximal real algebraic hypersurfaces

CONFERENCE Recording during the thematic meeting : "Real Aspects of Geometry" the October 31, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audi

From playlist Algebraic and Complex Geometry

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4. Stability

MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Electronic Feedback Systems (1985)

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Vortex equation and gauged sigma model - Guangbo Xu

Symplectic Dynamics/Geometry Seminar Topic: Vortex equation and gauged sigma model Speaker: Guangbo Xu Affiliation: Simons Center for Geometry and Physics Date: January 28, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Manual and Automatic PID Tuning Methods | Understanding PID Control, Part 6

The previous video showed three different approaches to developing a mathematical model of your physical system. Now that we have this model, we can use it to tune a PID controller that will work to control the physical system. PID tuning can be thought of in two ways: Adjusting the t

From playlist Understanding PID Control

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Integer-valued Gromov-Witten type invariants - Guangbo Xu

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Integer-valued Gromov-Witten type invariants Speaker: Guangbo Xu Affiliation: Texas A&M University Date: June 03, 2022 Gromov-Witten invariants for a general target are rational-valued but not necessarily int

From playlist Mathematics

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Danny Calegari: Big Mapping Class Groups - lecture 5

Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h

From playlist Topology

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Vladimiro Benedetti: Orbital degeneracy loci

Abstract: I will present a joint work with Sara Angela Filippini, Laurent Manivel and Fabio Tanturri (arXiv: 1704.01436). We introduce a new class of varieties, called orbital degeneracy loci. The idea is to use any orbit closure in a representation of an algebraic group to generalise the

From playlist Algebraic and Complex Geometry

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Richard Thomas - Vafa-Witten Invariants of Projective Surfaces 3/5

1. Sheaves, moduli and virtual cycles 2. Vafa-Witten invariants: stable and semistable cases 3. Techniques for calculation --- virtual degeneracy loci, cosection localisation and a vanishing theorem 4. Refined Vafa-Witten invariants

From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory

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The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 3) by Ron Donagi

Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries

From playlist Quantum Fields, Geometry and Representation Theory

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Locus and Definition of a Circle and Sphere

Watch more videos on http://www.brightstorm.com/math/geometry 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 ► https

From playlist Geometry

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