Affine geometry | Riemannian geometry

Line element

In geometry, the line element or length element can be informally thought of as a line segment associated with an infinitesimal displacement vector in a metric space. The length of the line element, which may be thought of as a differential arc length, is a function of the metric tensor and is denoted by . Line elements are used in physics, especially in theories of gravitation (most notably general relativity) where spacetime is modelled as a curved Pseudo-Riemannian manifold with an appropriate metric tensor. (Wikipedia).

Line element
Video thumbnail

What is a line integral?

Free ebook http://tinyurl.com/EngMathYT How to integrate over curves to produce a line integral (involving scalar valued functions). I discuss an example and geometric interpretation.

From playlist Engineering Mathematics

Video thumbnail

What is a segment

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

What is a line segment and ray

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

what is a line

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

Given a line segment name the two planes that intersect

👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi

From playlist Labeling Point Lines and Planes From a Figure

Video thumbnail

Naming the rays in a given figure

👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi

From playlist Labeling Point Lines and Planes From a Figure

Video thumbnail

Name the segments in the given figure

👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi

From playlist Labeling Point Lines and Planes From a Figure

Video thumbnail

CCSS How to label collinear and coplanar points

👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi

From playlist Labeling Point Lines and Planes From a Figure

Video thumbnail

Identify and Name a Point, Line, Ray, Segment, and Angle

This video defines a point, line, segment, ray, and angle. Once identified each is properly named.

From playlist Introduction to Geometry Basics: Points, Lines, Segments, Planes, Angles, and Polygons

Video thumbnail

PGA Ep 3 : Revenge of Infinity

Episode 3 of 6 of the SIBGRAPI2021 tutorial on Projective Geometric Algebra All the details in the writeup at https://bivector.net/PGADYN.html All demos and implementation details at https://enki.ws/ganja.js/examples/pga_dyn.html

From playlist PGA Tutorial SIBGRAPI2021

Video thumbnail

James Oxley: A matroid extension result

Abstract: Let (A,B) be a 3-separation in a matroid M. If M is representable, then, in the underlying projective space, there is a line where the subspaces spanned by A and B meet, and M can be extended by adding elements from this line. In general, Geelen, Gerards, and Whittle proved that

From playlist Combinatorics

Video thumbnail

HTML and CSS Tutorial - Create a Website for Beginners

Learn the basics of HTML and CSS in this complete tutorial. You will create a band website project using HTML and learn how to apply modern design in order to style the site using CSS. 🔗CSS Crash Course: https://www.youtube.com/watch?v=r1xBCi5SOjw ⭐️ Course Contents ⭐️ ⌨️ (00:00) Your f

From playlist HTML and CSS Tutorials

Video thumbnail

Let's learn D3.js - D3 for data visualization (full course)

This course teaches you how to visualize data in the browser using D3.js. Watch it here or check out the interactive version at Scrimba, where you’ll be able to play with the code as well: https://scrimba.com/g/gd3js D3.js is the most popular data visualization library for the web. It all

From playlist Tutorials

Video thumbnail

In Space, Anything Is Possible | Compilation

What’s impossible today becomes possible tomorrow, and this is especially true in astronomy. Here are three videos about things we could only once imagine. Hosts: Hank Green, Caitlin Hofmeister, Reid Reimers ---------- Huge thanks go to the following Patreon supporter for helping us keep

From playlist SciShow Space

Video thumbnail

The Story of Helium and the Birth of Astrophysics by Biman Nath

Abstract - A new element, helium, was added to the periodic table 150 years ago. It was the first element to have been discovered by astronomers, to be discovered much later on Earth by chemists. The story of the discovery of helium is a fascinating one, with major confusions about who wer

From playlist Cosmic Zoom

Video thumbnail

Lec 21 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis

Lecture 21: Demonstration using ADINA - linear analysis Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Nonlinear Finite Element Analysis

Video thumbnail

Astronomy - Ch. 5: Light & E&M Radiation (24 of 30) Emission Spectrum of Celestial Object

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how scientists determine the amount of an element by looking at an emission spectrum of a celestial object.

From playlist ASTRONOMY 5 LIGHT AND RADIATION

Video thumbnail

How To Design A Web App For Data Monitoring In Photoshop | Session 02 | #uiux | #webdesign

Don’t forget to subscribe! This project series will teach you how to design a UIUX for a web app using Photoshop. We will design UIUX for a Data Monitoring Dashboard web app using Photoshop in this project. The series will focus on three main dashboard pages including wireframes and the

From playlist Design A Web App For Data Monitoring In Photoshop

Video thumbnail

Lec 8 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis

Lecture 8: Numerical integrations, modeling considerations Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Linear Finite Element Analysis

Video thumbnail

Learn how to apply a translation using a translation vector ex 2

👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi

From playlist Labeling Point Lines and Planes From a Figure

Related pages

First fundamental form | Inverse function | Metric space | Differentiable function | Kronecker delta | Time | Dimension | Arc length | Volume element | Polar coordinate system | Cartesian coordinate system | Spherical coordinate system | Riemannian manifold | Schwarzschild coordinates | Integral | Infinitesimal | Metric tensor (general relativity) | Ricci calculus | Metric tensor | Covariance and contravariance of vectors | Orthogonal coordinates | Geometry | Matrix (mathematics) | Space | Surface (topology) | Curvilinear coordinates | Pseudo-Riemannian manifold | Raising and lowering indices