We show the connection between the method of adjoints in optimal control to the implicit function theorem ansatz. We relate the costate or adjoint state variable to Lagrange multipliers.
From playlist There and Back Again: A Tale of Slopes and Expectations (NeurIPS-2020 Tutorial)
Calculus - The Fundamental Theorem, Part 2
The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
From playlist F. Integration
Calculus - The Fundamental Theorem, Part 3
The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Using the ivt to show a value c exists with a given range
👉 Learn about the intermediate value theorem. The intermediate value theorem states that if a continuous function, f, with an interval [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the
From playlist Intermediate Value Theorem of Functions
Calculus 5.1a - Antiderivatives
An introduction to antiderivatives.
From playlist Calculus Chapter 5 (selected videos)
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
Calculus 2.7c - Some Comments on the theorem
Some comments on the Intermediate Value Theorem
From playlist Calculus Chapter 2: Limits (Complete chapter)
The Bolzano Weierstraß Theorem
Bolzano-Weierstrass Theorem Welcome to one of the cornerstone theorems in Analysis: The Bolzano-Weierstraß Theorem. It is the culmination of all our hard work on monotone sequences, and we'll use this over and over again in this course. Luckily the proof isn't very difficult, since we've
From playlist Sequences
Complex Stochastic Models and their Applications by Subhroshekhar Ghosh
PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY
In this video, I give a proof of the mean-value theorem in calculus, by reducing it to a special case of Rolle’s theorem. Featured at the end are also some bloopers, enjoy!
From playlist Differentiation
What is Central Limit Theorem | Inferential Statistics | Probability And Statistics | Simplilearn
The Central Limit Theorem is an essential tool in probability theory and Statistics and one of the most widely used theorems in data science. In this video, we will discuss What is Central Limit theorem? We will illustrate it with an interesting real-world example. In this tutorial, we wi
The most important theorem about vector fields, Stokes' theorem, which relates the surface integral of the curl with the line integral over the boundary. Here orientation matters, which I'll explain as well. Old Stokes Theorem Video https://youtu.be/bDILtddFKxw Vector Calculus Playlist: h
From playlist Vector Calculus
On the degree of regularity of some specific equations by Shalom Eliahou
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
From playlist Dimensions Deutsch
a neat fact about uniform continuity
Uniform Continuity and Derivatives In this video, I present a really neat test for uniform continuity, which has to do with derivatives. Check out this video to find out what it is! Uniform Continuity: https://youtu.be/PA0EJHYymLE Mean Value Theorem: https://youtu.be/PloNnv_DWas Continu
From playlist Limits and Continuity
Multivariable Calculus - Part 13 - Schwarz's Theorem
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From playlist Multivariable Calculus
How to determine the max and min of a sine on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Spectral Theory 7 - Spectral Theorem for Compact Operators (Functional Analysis - Part 34)
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Watch the whole series: https://thebrightsideofmathematics.com/functional_analysis/overview/ Functional analysis series: https://www.youtube.com/playlist?list=P
From playlist Functional analysis