Model theory | Theorems in the foundations of mathematics
In mathematics, Wilkie's theorem is a result by Alex Wilkie about the theory of ordered fields with an exponential function, or equivalently about the geometric nature of exponential varieties. (Wikipedia).
What is the ham sandwich theorem?
From playlist Mathematics
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
In this video, I present another example of Stokes theorem, this time using it to calculate the line integral of a vector field. It is a very useful theorem that arises a lot in physics, for example in Maxwell's equations. Other Stokes Example: https://youtu.be/-fYbBSiqvUw Yet another Sto
From playlist Vector Calculus
From playlist Stokes' theorem
An explanation of Stokes' theorem or Green's theorem in 3-space.
From playlist Advanced Calculus / Multivariable Calculus
Gareth Jones, University of Manchester
April 9, Gareth Jones, University of Manchester An effective Pila-Wilkie Theorem for pfaffian functions and some diophantine applications
From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra
Gareth Jones: Improvements in the Pila-Wilkie theorem for curves
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 Logic and Foundations
Maxwell's Equations: Gauss' Law Explained (ft. @Higgsinophysics ) | Physics for Beginners
Can YOU understand Gauss Law, which is the Maxwell Equation that prescribes how Electric Fields must behave? Hey everyone, I'm back with another video! This one was highly requested, as a follow-up to my first two Maxwell Equation videos. This, therefore, is the third video in the series
From playlist Maxwell's Equations EXPLAINED
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
What is Stokes theorem? - Formula and examples
► My Vectors course: https://www.kristakingmath.com/vectors-course Where Green's theorem is a two-dimensional theorem that relates a line integral to the region it surrounds, Stokes theorem is a three-dimensional version relating a line integral to the surface it surrounds. For that reaso
From playlist Vectors
G. Binyamini - Point counting for foliations over number fields
We consider an algebraic $V$ variety and its foliation, both defined over a number field. Given a (compact piece of a) leaf $L$ of the foliation, and a subvariety $W$ of complementary codimension, we give an upper bound for the number of intersections between $L$ and $W$. The bound depends
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
James Freitag, University of Illinois at Chicago
March 29, James Freitag, University of Illinois at Chicago Not Pfaffian
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
Title: Density of Rational Points on Transcendental Varieties
From playlist Differential Algebra and Related Topics VII (2016)
On local interdefinability of analytic functions - T. Servi - Workshop 3 - CEB T1 2018
Tamara Servi (Université Paris-Diderot) / 27.03.2018 On local interdefinability of (real and complex) analytic functions Given two (real or complex) analytic functions f and g, it is not sensible in general to ask whether they are first-order interdefinable as total functions (think of t
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Jacob Tsimerman, Unlikely intersections and the André-Oort conjecture
VaNTAGe Seminar, December 7, 2021 License: CC-BY-NC-SA
From playlist Complex multiplication and reduction of curves and abelian varieties
Jacob Tsimerman - O-minimality, Point Counting and Functional Transcendence
This is the third talk in the Minerva Mini-course, Applications of o-minimality in Diophantine Geometry, by Jacob Tsimerman, University of Toronto and Princeton's Fall 2021 Minerva Distinguished Visitor. One of the main applications of O-minimality to Number Theory has been via the celeb
From playlist Minerva Mini Course - Jacob Tsimerman
Georges Comte: Sets with few rational points
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 Algebraic and Complex Geometry
A mathematics bonus. In this lecture I remind you of a way to calculate the cross product of two vector using the determinant of a matrix along the first row of unit vectors.
From playlist Physics ONE
Bruno Klingler - 3/4 Tame Geometry and Hodge Theory
Hodge theory, as developed by Deligne and Griffiths, is the main tool for analyzing the geometry and arithmetic of complex algebraic varieties. It is an essential fact that at heart, Hodge theory is NOT algebraic. On the other hand, according to both the Hodge conjecture and the Grothendie
From playlist Bruno Klingler - Tame Geometry and Hodge Theory