Metric geometry

Space of directions

In metric geometry, the space of directions at a point describes the directions of curves that start at the point. It generalizes the tangent space in a differentiable manifold. (Wikipedia).

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Special Relativity: 2 - Spacetime Diagrams

An introduction to spacetime diagrams which are a valuable tool used to understand special relativity. The second in a series on special and general relativity. Let us know what you think of these videos by filling out our short survey at http://tinyurl.com/astronomy-pulsar. Thank you!

From playlist Special Relativity

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Dimensions (1 of 3: The Traditional Definition - Directions)

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From playlist Exploring Mathematics: Fractals

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Minkowski Space-Time: Spacetime in Special Relativity

Includes discussion of the space-time invariant interval and how the axes for time and space transform in Special Relativity.

From playlist Physics

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Points, Lines, and Planes

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From playlist Geometry Basics

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Space Coordinates Plotting Points in 3 Dimensions

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Space Coordinates Plotting Points in 3 Dimensions

From playlist Calculus 3

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3D Coordinate System (2 of 2: Distance formula)

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From playlist Further Work with Vectors

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Dimensions Chapter 1

Chapter 1 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

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What is space?

What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:

From playlist Science Unplugged: Physics

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WildLinAlg17: Rank and Nullity of a Linear Transformation

We begin to discuss linear transformations involving higher dimensions (ie more than three). The kernel and the image are important spaces, or properties of vectors, associated to a linear transformation. The corresponding dimensions are the nullity and the rank, and they satisfy a simple

From playlist A first course in Linear Algebra - N J Wildberger

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Martin Raussen: Topological and combinatorial models of directed path spaces

The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology Concurrency theory in Computer Science studies effects that arise when several processors run simultaneously sharing common resources. It attempts to advise methods

From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"

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What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras

What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras We complete our survey of the basic algebraic structures that appear in the study of general relativity. Also, we develop the important example of the tensor algebra.

From playlist What is a Tensor?

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Spin Networks - Carlo Rovelli

Oxford Mathematics Roger Penrose Public Lecture: Carlo Rovelli - Spin networks: the quantum structure of spacetime from Penrose's intuition to Loop Quantum Gravity Leading Physicist and best-selling author Carlo Rovelli pays tribute to one of his scientific heroes, Roger Penrose, as he t

From playlist Oxford Mathematics Public Lectures

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Lecture 10 | String Theory and M-Theory

(November 30, 2010) Professor Leonard Susskind continues his discussion on T-Duality; explains the theory of D-Branes; models QFT and QCD; and introduces the application of electromagnetism. String theory (with its close relative, M-theory) is the basis for the most ambitious theories of

From playlist Lecture Collection | String Theory and M-Theory

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Manifolds #5: Tangent Space (part 1)

Today, we introduce the notion of tangent vectors and the tangent vector space at a point on a manifold.

From playlist Manifolds

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Fernando Galaz Garcia: Three dimensional Alexandrov spaces with positive and non negative curvature

I will discuss the topological classification of closed three-dimensional Alexandrov spaces with positive or non-negative curvature, both in the Alexandrov and CD(K,N) sense. This is joint work with Luis Guijarro, Michael Munn and Qintao Deng. The lecture was held within the framework of

From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"

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The Math You Didn't Learn | #SoME2

Sometimes people wonder what actual mathematicians do. Do they crunch large numbers? Participate in competitions with each other? (They actually did a lot of that in the Middle Ages). Are they geniuses whose activites are unfathomable for us normal people? Math is a very large field, but m

From playlist Summer of Math Exposition 2 videos

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ME564 Lecture 21: Linear algebra in 2D and 3D: inner product, norm of a vector, and cross product

ME564 Lecture 21 Engineering Mathematics at the University of Washington Linear algebra in 2D and 3D: inner product, norm of a vector, and cross product Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L21.pdf Course Website: http://faculty.washington.edu/sbrunton/me564/ http:/

From playlist Engineering Mathematics (UW ME564 and ME565)

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Lec 4 - 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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Can You Believe It? #36 What is Space (2 of TBD) The Speed of Light

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 how was the speed of light calculated by James Maxwell. Previous video in this series can be seen at: https://youtu.be

From playlist CAN YOU BELIEVE IT?

Related pages

Metric space | Equivalence relation | Tangent space | Alexandrov space | Complete metric space | Triangle inequality | Differentiable manifold