In mathematics, a dilation is a function from a metric space into itself that satisfies the identity for all points , where is the distance from to and is some positive real number. In Euclidean space, such a dilation is a similarity of the space. Dilations change the size but not the shape of an object or figure. Every dilation of a Euclidean space that is not a congruence has a unique fixed point that is called the center of dilation. Some congruences have fixed points and others do not. (Wikipedia).
Special Relativity B1 Time Dilation
Relativistic time dilation.
From playlist Physics - Special Relativity
Special Relativity B4 Time Dilation
Relativistic time dilation.
From playlist Physics - Special Relativity
Special Relativity B2 Time Dilation
Relativistic time dilation.
From playlist Physics - Special Relativity
Special Relativity B3 Time Dilation
Relativistic time dilation.
From playlist Physics - Special Relativity
Special Relativistic Time Dilation
Here, Think Like a Physicist takes a diversion from its usual fare to give a discussion on the phenomenon of time dilation in special relativity. We give an overview of what the phenomenon is, and then discuss the relativity of simultaneity at length, as this is necessary for understandi
From playlist Summer of Math Exposition Youtube Videos
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Special Relativity: 5 - Time Dilation
Exploring the concept of time dilation and how moving clocks will run at different rates. Includes a simple derivation of the time dilation formula (light math). Part of a series on special relativity Let us know what you think of these videos by filling out our short survey at http://t
From playlist Special Relativity
What is length contraction? Length contraction gives the second piece (along with time dilation) of the puzzle that allows us to reconcile the fact that the speed of light is constant in all reference frames.
From playlist Relativity
The Maths of General Relativity (8/8) - Summary and Applications
In this series, we build together the theory of general relativity. This eight and last video gives a summary of how one can solve a physics problem in general relativity. The video is then split into 3 examples, to illustrate the method. For more videos, subscribe to the YouTube channel
From playlist The Maths of General Relativity
Maria Gordina - Large deviations principle for sub-Riemannian random walks on Carnot groups
Recorded 11 February 2022. Maria Gordina of the University of Connecticut, Mathematics, presents "Large deviations principle for sub-Riemannian random walks on Carnot groups" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: We prove a large deviations princi
From playlist Workshop: Calculus of Variations in Probability and Geometry
Relativity 10a - uniform gravity/acceleration I
We are (finally!) at the point where we can begin to examine the detailed predictions of General Relativity. Here we start investigating the simplest non-trivial problem of a uniform gravitational field, or, equivalently, of an observer undergoing uniform acceleration. We find that the the
From playlist Relativity
Barak Weiss: Classification and statistics of cut-and-project sets
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 23, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Stéphane Mallat: High dimensional learning from images to physics
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 30 years of wavelets
Harmonic maps between singular spaces - Brian Freidin
Short talks by postdoc visitors Topic: Harmonic maps between singular spaces Speaker: Brian Freidin Affiliation: Brown University; Visitor, School of Mathematics Date: October 10, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
General Relativity Topic 29: FRW Cosmologies
Lecture from 2017 upper level undergraduate course in general relativity at Colorado School of Mines
From playlist Colorado School of Mines/Alex Flournoy: General Relativity | CosmoLearning.org Physics
The Surprisingly Subtle Limits of General Relativity
Discover how Einstein's general theory of relativity spans the cosmic spectrum from planetary orbits to black holes! Sponsored by Babbel 🎉: Start speaking a new language in 3 weeks. Get up to 65% OFF your subscription ▶️ HERE: https://go.babbel.com/12m65-youtube-physicswithelliot-may-2022/
From playlist Gravity Sequence
Rafe Mazzeo - Minicourse - Lecture 2
Rafe Mazzeo Conic metrics on surfaces with constant curvature An old theme in geometry involves the study of constant curvature metrics on surfaces with isolated conic singularities and with prescribed cone angles. This has been studied from many points of view, ranging from synthetic geo
From playlist Maryland Analysis and Geometry Atelier
Time Dilation is not what you think it is.
When you think of time dilation in the context of Special Relativity, it's often taught as if you see things in slow motion. But that's wrong! This video covers why it is wrong as what you would see if an object was moving at relativistic speeds. I have produced a ONE MINUTE VERSION for
From playlist Nature of Light
Limits of cubic differentials and projective structures by David Dumas
ORGANIZERS Siddhartha Gadgil, Krishnendu Gongopadhyay, Subhojoy Gupta and Mahan Mj DATE & TIME 27 November 2017 to 30 November 2017 VENUE Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups int
From playlist Surface Group Representations and Geometric Structures