Prerequisites of a smooth function.
From playlist Advanced Calculus / Multivariable Calculus
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
Infinite Limits With Equal Exponents (Calculus)
#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts
From playlist Calculus
11_4_2 The Derivative of the Composition of Functions
A further look at the derivative of the composition of a multivariable function and a vector function. There are two methods to calculate such a derivative.
From playlist Advanced Calculus / Multivariable Calculus
Infinitesimal Calculus with Finite Fields | Famous Math Problems 22d | N J Wildberger
Is it possible to do Calculus over finite fields? Yes! And can infinitesimal analysis still play a part? Yes! This video will show you how, by working out explicitly some remarkable geometry formed by the semi-cubical parabola over the explicit finite field F_7. It is helpful to realize
From playlist Famous Math Problems
Calculus for Beginners full course | Calculus for Machine learning
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. This course is for those who wan
From playlist Calculus
Robert Bryant: Limits, Bubbles, and Singularities: The fundamental ideas of Karen Uhlenbeck
Abstract: Ever since the Greeks, the challenges of understanding limits and infinities have fascinated us, ultimately leading to the development of calculus and much of modern mathematics. When does a limit exist and in what sense? How do we capture these notions in geometric and intuitive
From playlist Abel Lectures
Approximate cross validation for large data and high dimensions - Tamara Broderick, MIT
The error or variability of statistical and machine learning algorithms is often assessed by repeatedly re-fitting a model with different weighted versions of the observed data. The ubiquitous tools of cross-validation (CV) and the bootstrap are examples of this technique. These methods a
From playlist Statistics and computation
Nigel Higson: Real reductive groups, K-theory and the Oka principle
The lecture was held within the framework of Follow-up Workshop TP Rigidity. 29.4.2015
From playlist HIM Lectures 2015
T. Ozuch - Noncollapsed degeneration and desingularization of Einstein 4-manifolds (vt)
We study the noncollapsed singularity formation of Einstein 4-manifolds. We prove that any smooth Einstein 4-manifold close to a singular one in a mere Gromov-Hausdorff (GH) sense is the result of a gluing-perturbation procedure that we develop. This sheds light on the structure of the mod
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
T. Ozuch - Noncollapsed degeneration and desingularization of Einstein 4-manifolds
We study the noncollapsed singularity formation of Einstein 4-manifolds. We prove that any smooth Einstein 4-manifold close to a singular one in a mere Gromov-Hausdorff (GH) sense is the result of a gluing-perturbation procedure that we develop. This sheds light on the structure of the mod
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
The Geometry of Finite Geometric Sums (visual proof; series)
This is a short, animated visual proof demonstrating the finite geometric for any ratio x with x greater than 1. This series (and its infinite analog when x less than 1) is important for many results in calculus, discrete mathematics, and combinatorics. #mathshorts #mathvideo #math #cal
From playlist Finite Sums
The thresholding scheme for mean curvature flow as minimizing movement scheme - 4
Speaker: Felix Otto (Max Planck Institute for Mathematics in the Sciences in Leipzig) International School on Extrinsic Curvature Flows | (smr 3209) 2018_06_14-10_45-smr3209
From playlist Felix Otto: "The thresholding scheme for mean curvature flow as minimizing movement scheme", ICTP, 2018
Newton's Infinitesimal Calculus (4): Calculating Fluxions/Derivatives
In this video, we finally do some differential calculus using the infinitesimal concept to find equations involving the fluxions (derivatives). We also derive the basic rules for calculating fluxions/derivatives: sum, product, and quotient rules. In the text, what we cover here is "probl
From playlist Math
The structure of noncollapsed Gromov-Hausdorff limit spaces - Jeff Cheeger [2017]
slides for this talk: https://drive.google.com/file/d/1pvkn4Qew5ZHrDpvs9txzFOsFFDqYfA3E/view?usp=sharing Name: Jeff Cheeger Event: Workshop: Geometry of Manifolds Event URL: view webpage Title: The structure of noncollapsed Gromov-Hausdorff limit spaces with Ricci Curvature bounded below
From playlist Mathematics
Jorge Nocedal: "Tutorial on Optimization Methods for Machine Learning, Pt. 3"
Graduate Summer School 2012: Deep Learning, Feature Learning "Tutorial on Optimization Methods for Machine Learning, Pt. 3" Jorge Nocedal, Northwestern University Institute for Pure and Applied Mathematics, UCLA July 18, 2012 For more information: https://www.ipam.ucla.edu/programs/summ
From playlist GSS2012: Deep Learning, Feature Learning
An elementary surface integral formula you've never heard of
https://www.patreon.com/PavelGrinfeld
From playlist My Original Results
Werner Seiler, Universität Kassel
February 22, Werner Seiler, Universität Kassel Singularities of Algebraic Differential Equations
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
14_9 The Volume between Two Functions
Calculating the volume of a shape using the double integral. In this example problem a part of the volume is below the XY plane.
From playlist Advanced Calculus / Multivariable Calculus