Geometry

Local coordinates

Local coordinates are the ones used in a local coordinate system or a local coordinate space. Simple examples: * Houses. In order to work in a house construction, the measurements are referred to a control arbitrary point that will allow to check it: stick/sticks on the ground, steel bar, nails... * Addresses. Using house numbers to locate a house on a street; the street is a local coordinate system within a larger system composed of city townships, states, countries, postal codes, etc. Local systems exist for convenience. On ancient times, every work was made on relative bases as there was no conception of global systems. Practically, it is better to use local systems for small works as houses, buildings... For most of the applications, it is desired the position of one element relative to one building or location, and in a more local way, relative to one furniture or person. In a regular way, you will not give your position by geographical coordinates rather than "I am 15 meters away of the entry to the building". So it is a pretty common way to locate things. It is possible to bring latitude and longitude for all terrestrial locations, but unless one has a highly precise GPS device or you make astronomical observations, this is impractical. It is much simple to use a tape, a rope, a chain... The position information (global) should be transformed into a location. Position refers to a numeric or symbolic description within a spatial reference system, where as location refers to information about surrounding objects and their interrelationships. (Topological space) (Wikipedia).

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Determine the midpoint between two coordinates ex 1, A(3, 5) and B(7, 9)

πŸ‘‰ Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

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Find the midpoint between two points w(–12,–7), T(–8,–4)

πŸ‘‰ Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

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Ex: Identifying the Coordinates of Points on the Coordinate Plane

This video explains how to determine the coordinates of points on the coordinate plane. Complete Video List at http://www.mathispower4u.com Search by Topic at http://www.mathispower4u.wordpress.com

From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables

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Finding the midpoint between two points

πŸ‘‰ Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

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Finding the midpoint between two coordinate points ex 1

πŸ‘‰ Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

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Introduction to Cylindrical Coordinates

This video introduces cylindrical coordinates and shows how to convert between cylindrical coordinates and rectangular coordinates. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

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Using midpoint formula find the midpoint between two coordinates ex 2, C(-2, 7), D(-9, -5)

πŸ‘‰ Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

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Finding the midpoint between two coordinate points ex 2

πŸ‘‰ Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

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Learn how to find the midpoint between two points, (4, 7) and (2, 1)

πŸ‘‰ Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

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Joshua Mike (6/15/20): TALLEM: Topological Assembly of Locally Linear Euclidean Models

Title: TALLEM: Topological Assembly of Locally Linear Euclidean Models Abstract: We present a new topological data analysis tool for nonlinear dimensionality reduction. This method, dubbed TALLEM, assembles a collection of local Euclidean coordinates, and leverages ideas from the theory o

From playlist ATMCS/AATRN 2020

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Localization schemes: A framework for proving mixing bounds for Markov chains - Ronen Eldan

Computer Science/Discrete Mathematics Seminar II Topic: Localization schemes: A framework for proving mixing bounds for Markov chains Speaker: Ronen Eldan Affiliation: von Newmann Fellow, School of Mathematics Date: March 22, 2022Β  Two recent and seemingly-unrelated techniques for provin

From playlist Mathematics

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Locally Repairable Codes, Storage Capacity and Index Coding - Arya Mazumdar

Computer Science/Discrete Mathematics Seminar I Topic: Locally Repairable Codes, Storage Capacity and Index Coding Speaker: Arya Mazumdar Affiliation: University of Massachusetts, Amherst Date: Febuary 5, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Brent Pym: Holomorphic Poisson structures - lecture 2

The notion of a Poisson manifold originated in mathematical physics, where it is used to describe the equations of motion of classical mechanical systems, but it is nowadays connected with many different parts of mathematics. A key feature of any Poisson manifold is that it carries a cano

From playlist Virtual Conference

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Lec 6 - Phys 237: Gravitational Waves with Kip Thorne

Watch the rest of the lectures on http://www.cosmolearning.com/courses/overview-of-gravitational-wave-science-400/ Redistributed with permission. This video is taken from a 2002 Caltech on-line course on "Gravitational Waves", organized and designed by Kip S. Thorne, Mihai Bondarescu and

From playlist Caltech: Gravitational Waves with Kip Thorne - CosmoLearning.com Physics

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β€œClosed Geodesics on Surfaces Pt.2” - Nancy Hingston

Nancy Hingston TCNJ β€œClosed geodesics on surfaces” Wednesday May 18

From playlist Mathematics

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Lec 5b - Phys 237: Gravitational Waves with Kip Thorne

Watch the rest of the lectures on http://www.cosmolearning.com/courses/overview-of-gravitational-wave-science-400/ Redistributed with permission. This video is taken from a 2002 Caltech on-line course on "Gravitational Waves", organized and designed by Kip S. Thorne, Mihai Bondarescu and

From playlist Caltech: Gravitational Waves with Kip Thorne - CosmoLearning.com Physics

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Ex 1: Determine the Local / Relative Extrema of a Cubic Function Using Desmos

This video explains how to determine the location and value of the local minimum and local maximum of a cubic function. http://mathispower4u.com

From playlist Determining the Characteristics of Polynomial Functions

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What is the midpoint formula and how do you find the midpoint between

πŸ‘‰ Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

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Alexander Goncharov - 2/4 Quantum Geometry of Moduli Spaces of Local Systems...

Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory Lectures 1-3 are mostly based on our recent work with Linhui Shen. Given a surface S with punctures and special points on the boundary considered modulo isotopy, and a split semi-simple adjoint group G, we defin

From playlist Alexander Goncharov - Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory

Related pages

Bounding volume hierarchy | Scene graph | Manifold | Topological space | Atlas (topology) | Datum reference | Coordinate system | Differential topology