Infinite Limits With Equal Exponents (Calculus)
#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts
From playlist Calculus
Example of an infinite-dimensional space, and why its dimension is infinity Check out my Matrix Algebra playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmAIZGo2l8SWvsHeeCLzamx0 Subscribe to my channel: https://www.youtube.com/channel/UCoOjTxz-u5zU0W38zMkQIFw
From playlist Matrix Algebra
What are domains of holomorphy?
We define domains of holomorphy in C^n. We introduce holomorphically convex domains. We state the Cartan-Thullen theorem, and list consequences. One if them provides the existence of a smallest domain of holomorphy containing a fixed domain. For more details see Hormander's "An introducti
From playlist Several Complex Variables
Domains of holomorphy and Dolbeault cohomology
Domains of holomorphy can be characterized by vanishing of Dolbeault cohomology. We prove one direction of this characterization. For more detais see Gunning's "Introduction to holomorphic functions of several variables, Vol 1", Section G. Please point out any imprecisions in the comments
From playlist Several Complex Variables
If the universe is spatially infinite, what can we say about reality...
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From playlist Science Unplugged: Cosmology
L^2 geometry of moduli spaces of vortices and lumps (Lecture 1) by James Martin Speight
PROGRAM VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual field the
From playlist Vortex Moduli - 2023
Epsilon delta limit (Example 3): Infinite limit at a point
This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!
From playlist Calculus
IGA - Lars Sektnan Extremal Kähler metrics on blowups
Abstract: Extremal Kähler metrics were introduced by Calabi in the 80’s as a type of canonical Kähler metric on a Kähler manifold, and are a generalisation of constant scalar curvature Kähler metrics in the case when the manifold admits automorphisms. A natural question is when the blowup
From playlist Informal Geometric Analysis Seminar
N=2* SU(2) Supersymmetric Yang-Mills Theory and Four-Manifold Invariants - Gregory Moore
High Energy Theory Seminar N=2* SU(2) Supersymmetric Yang-Mills Theory and Four-Manifold Invariants Speaker: Gregory Moore Affiliation: Rutgers University Date: March 15, 2021 For more video please visit http://video.ias.edu
From playlist IAS High Energy Theory Seminar
In this lecture I prove the Cartan-Thullen theorem. For more information see my previous video on the channel.
From playlist Several Complex Variables
Franc Forstnerič - Non singular holomorphic foliations on Stein manifolds (Part 3)
Non singular holomorphic foliations on Stein manifolds (Part 3)
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Analytic continuation in higher dimensions
In this short lecture I will prove the Hartogs theorem stating that holomorphic functions can be continued across compacts subsets if the dimension is at least 2. The proof will use solution of the del bar problem with compact support. For more details see Section 2.3 in Hormander's "Intro
From playlist Several Complex Variables
It's a concept which intrigues mathematicians, but scientists aren't so keen on it. More at http://www.sixtysymbols.com/
From playlist From Sixty Symbols
Here's a re-enactment of the famous paradox known as the "infinite monkey theorem."
From playlist Cosmic Journeys
Explains the difference between an Open Universe, Closed Universe, and Flat Universe. Also discusses the expansion of space-time.
From playlist Physics
Samson Shatashvili - 1/3 Supersymmetric Vacua and Integrability
"I review the relationship between supersymmetric gauge theories and quantum integrable systems. From the quantum integrability side this relation includes various spin chains, as well as many well-known quantum many body systems like elliptic Calogero-Moser system and generalisations. Fro
From playlist Samson Shatashvili - Supersymmetric Vacua and Integrability
Infinitesimals in Synthetic Differential Geometry
In this video I describe the logic of Synthetic Differential Geometry. This is a non-constructive theory collapsing in the presence of the law of excluded middle. As a logic al theory, it can be realized in a topos and it has sheave models giving a nice representation of tangent bundles.
From playlist Algebra
Visualizing the Infinite Gift and Computing its Measurements #math #manim #paradox
In this animation, we show an approximation of the mathematical object colloquially referred to as the "infinite gift." This gift is somewhat paradoxical in nature because it is infinitely long and requires an infinite amount of wrapping paper to cover, yet it only encloses a finite area.
From playlist Infinite Series
Fundamentals of Mathematics - Lecture 33: Dedekind's Definition of Infinite Sets are FInite Sets
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
Washington Taylor - How Natural is the Standard Model in the String Landscape?
Mike's pioneering work in taking a statistical approach to string vacua has contributed to an ever-improving picture of the landscape of solutions of string theory. In this talk, we explore how such statistical ideas may be relevant in understanding how natural different realizations of th
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday