In mathematical logic and computer science, Gabbay's separation theorem, named after Dov Gabbay, states that any arbitrary temporal logic formula can be rewritten in a logically equivalent "past → future" form. I.e. the future becomes what must be satisfied. This form can be used as execution rules; a MetateM program is a set of such rules. (Wikipedia).
Free ebook http://tinyurl.com/EngMath A short tutorial on how to apply Gauss' Divergence Theorem, which is one of the fundamental results of vector calculus. The theorem is stated and we apply it to a simple example.
From playlist Several Variable Calculus / Vector Calculus
Heegaard Biagrams and Holomorphic Disks - Peter Ozsváth
75th Anniversary Celebration School of Mathematics Peter Ozsváth Columbia University March 12, 2005 More videos on http://video.ias.edu
From playlist Mathematics
Distance point and plane the Lagrange way
In this video, I derive the formula for the distance between a point and a plane, but this time using Lagrange multipliers. This not only gives us a neater way of solving the problem, but also gives another illustration of the method of Lagrange multipliers. Enjoy! Note: Check out this vi
From playlist Partial Derivatives
The Divergence Theorem, a visual explanation
This video talks about the divergence theorem, one of the fundamental theorems of multivariable calculus. The divergence theorem relates a flux integral to a triple integral. Green's Theorem: https://youtu.be/8SwKD5_VL5o Line Integrals: https://youtu.be/dnGDmZynvYY Follow Me! https://i
From playlist Multivariable Calculus
Flux + Gauss divergence theorem
Free ebook http://tinyurl.com/EngMathYT How to calculate flux in the plane by Gauss' divergence theorem. An example is presented illustrating the ideas.
From playlist Several Variable Calculus / Vector Calculus
(ML 13.11) D-separation (part 2)
Definition of d-separation, and statement of the d-separation theorem for "reading off" conditional independence properties from directed graphical models.
From playlist Machine Learning
The Four-Color Theorem and an Instanton Invariant for Spatial Graphs I - Peter Kronheimer
Peter Kronheimer Harvard University October 13, 2015 http://www.math.ias.edu/seminars/abstract?event=83214 Given a trivalent graph embedded in 3-space, we associate to it an instanton homology group, which is a finite-dimensional Z/2 vector space. The main result about the instanton hom
From playlist Geometric Structures on 3-manifolds
Gauss's Divergence theorem is one of the most powerful tools in all of mathematical physics. It is the primary building block of how we derive conservation laws from physics and translate them into partial differential equations. @eigensteve on Twitter eigensteve.com databookuw.com %%
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
Yakov Sinai: Now everything has been started? The origin of deterministic chaos
Abstract: The theory of deterministic chaos studies statistical properties of solutions of non-linear equations and has many applications. The appearance of these properties is connected with intrinsic instability of dynamics. This lecture was held by Abel Laureate Yakov Grigorevich Sina
From playlist Abel Lectures
Differential Equations: Separation of Variables
This video provides several examples of how to solve a DE using the technique of separation of variables. website: http://mathispower4u.com blog: http://mathispower4u.wordpress.com
From playlist First Order Differential Equations: Separation of Variables
Ian Agol, Lecture 3: Applications of Kleinian Groups to 3-Manifold Topology
24th Workshop in Geometric Topology, Calvin College, June 30, 2007
From playlist Ian Agol: 24th Workshop in Geometric Topology
Knots, three-manifolds and instantons – Peter Kronheimer & Tomasz Mrowka – ICM2018
Plenary Lecture 11 Knots, three-manifolds and instantons Peter Kronheimer & Tomasz Mrowka Abstract: Over the past four decades, input from geometry and analysis has been central to progress in the field of low-dimensional topology. This talk will focus on one aspect of these developments
From playlist Plenary Lectures
Abel Prize Reception in Honor of Karen Uhlenbeck
More videos on http://video.ias.edu
From playlist Related videos on other channels
A mountain pass theorem for minimal hypersurfaces with fixed boundary - Rafael Montezuma
Variational Methods in Geometry Seminar Topic: A mountain pass theorem for minimal hypersurfaces with fixed boundary Speaker: Rafael Montezuma Affiliation: Princeton University Date: March 26, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
(PP 6.2) Multivariate Gaussian - examples and independence
Degenerate multivariate Gaussians. Some sketches of examples and non-examples of Gaussians. The components of a Gaussian are independent if and only if they are uncorrelated.
From playlist Probability Theory
Mladen Bestvina - On the asymptotic dimension of a curve complex.
Mladen Bestvina (University of Utah, USA)
From playlist T1-2014 : Random walks and asymptopic geometry of groups.
Non-Orientable Knot Genus and the Jones Polynomial - Efstratia Kalfagianni
Efstratia Kalfagianni Michigan State University October 20, 2015 https://www.math.ias.edu/seminars/abstract?event=89714 The non-orientable genus (a.k.a crosscap number) of a knot is the smallest genus over all non-orientable surfaces spanned by the knot. In this talk, I’ll describe joint
From playlist Geometric Structures on 3-manifolds
Joe Neeman: Gaussian isoperimetry and related topics I
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Green's Theorem gave us a way to calculate a line integral around a closed curve. Similarly, we have a way to calculate a surface integral for a closed surface. That's the Divergence Theorem. This is also known as Gauss's Theorem, and it's pretty neat, so let's learn it! Script by Howard
From playlist Mathematics (All Of It)
The Intelligence Revolution: Coupling AI and the Human Brain | Ed Boyden | Big Think
The Intelligence Revolution: Coupling AI and the Human Brain New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Edward Bo
From playlist The future: artificial intelligence | Big Think