In mathematics, a singularity is a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved in some particular way, such as by lacking differentiability or analyticity. For example, the real function has a singularity at , where the numerical value of the function approaches so the function is not defined. The absolute value function also has a singularity at , since it is not differentiable there. The algebraic curve defined by in the coordinate system has a singularity (called a cusp) at . For singularities in algebraic geometry, see singular point of an algebraic variety. For singularities in differential geometry, see singularity theory. (Wikipedia).
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From playlist Science Unplugged: Black Holes
Complex analysis: Singularities
This lecture is part of an online undergraduate course on complex analysis. We discuss the different sorts of singularities of a holomorphic function (removable singularities, poles, essential singularities, branch-points, limits of singularities, natural boundaries) and give examples of
From playlist Complex analysis
C72 What to do about the singular point
Now that we can calculate a solution at analytical points, what can we do about singular points. It turns out, not all singular points are created equal. The regular and irregular singular point.
From playlist Differential Equations
Are there physicists trying to understand singularities?
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From playlist Science Unplugged: Black Holes
The Technological Singularity Explained Try Dashlane on your first device for FREE: http://dashlane.com/aperture pls get me to 10k on instagram!: https://www.instagram.com/mcewen/ The technological singularity is one of the most popular topics in computer science today. The implications
From playlist Science & Technology π
algebraic geometry 40 Examples of resolutions
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives some examples of resoutions of singularities, and describes an application of resolution to a problem about analytic continuation of integrals.
From playlist Algebraic geometry I: Varieties
https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu
From playlist Mathematics
Stuff From The Future - What is the Singularity?
Will computers of the future have the ability to design themselves? Is it possible that human beings may be able to download their consciousness onto machines? Join TechStuff's Jonathan Strickland as he takes a closer look at the singularity http://howstuffworks.com http://itunes.apple
From playlist Stuff From the Future
What is a Singularity, Exactly?
The singularity. Both the black hole singularity and the AI singularity. Predictions by Ray Kurzweil. Hi! I'm Jade. Subscribe to Up and Atom for new physics, math and computer science videos every week! *SUBSCRIBE TO UP AND ATOM* https://www.youtube.com/c/upandatom Visit the Up and Ato
From playlist AI
Singularities Explained | Infinite Series
Viewers like you help make PBS (Thank you π) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi For more on black hole singularities check out the Space Time episode: The Phantom Singularity https://youtu.be/-q7EvLhOK08 Tweet at us! @pbsinfinite Facebook: faceboo
From playlist An Infinite Playlist
Spacetime Singularities - Roger Penrose, Dennis Lehmkuhl and Melvyn Bragg
All aboard the Oxford Mathematics Space Probe for this Public Lecture as we explore Black Holes with a Nobel Laureate, a Professor of the History and Philosophy of Physics & a broadcasting legend. Even Albert Einstein had thought Black Holes impossible. Then in 1965 Roger Penrose provide
From playlist The Roger Penrose Playlist
The Phantom Singularity | Space Time
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From playlist Space Time!
Was the Big Bang Just a Black Hole?
Fraser "Asks a Spaceman" Dr. Paul Matt Sutter - why do we call the Big Bang a singularity, when we also call black holes singularities? Click here for Part II: https://www.youtube.com/watch?v=Fb9ivmAi6rM Support us at: http://www.patreon.com/universetoday More stories at: http://www.univ
From playlist Black Holes
Mathematical Functions and Properties
The Wolfram Language has over 250 mathematical functions, including well-known elementary and special functions that have played a crucial role in the development of science for decades. Although this set is almost complete, we are continuously implementing new functionality for mathematic
From playlist Wolfram Technology Conference 2020
Singular Value Decomposition (SVD) with R | Introduction to Text Analytics with R Part 8
Singular value decomposition with R includes specific coverage of: β Use of the irlba package to perform truncated SVD. β How to project a TF-IDF document vector into the SVD semantic space (i.e., LSA). β Comparison of model performance between a single decision tree and the mighty random
From playlist Introduction to Text Analytics with R
The 3D Axisymmetric Euler Equation: A Pseudospectral Investigation of a... by Rahul Pandit
PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS Uriel Frisch (Observatoire de la CΓ΄te d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE & TIME 16 January 2023 to 27 January 2023 VENUE Ramanuj
From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023
Dynamics of a Slow-Fast Predator-Prey Model with a Predator-Dependent...by Pranali Roy Chowdhury
PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an
From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)
Strange Properties of Spinning Black Holes - Kerr Metric, General Relativity, Physics Explained
Hey everyone, I'm back with a video about black holes! This time, we're talking about spinning (rotating) black holes, and their rather interesting characteristics. The mathematical (and theoretical) properties of a rotating black hole are described by the Kerr metric. This metric is a s
From playlist Relativity by Parth G
Completeness and Orthogonality
A discussion of the properties of Completeness and Orthogonality of special functions, such as Legendre Polynomials and Bessel functions.
From playlist Mathematical Physics II Uploads