Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Calculus 1.2e - Derivative from an Equation
Approximating the rate of change at a point when given the equation for a graph. An approximation is done using a forward difference quotient, and the advantages of using a small interval and a symmetric difference quotient are discussed.
From playlist Calculus Chapter 1
Convolution Theorem: Fourier Transforms
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.
From playlist Partial differential equations
Lec 13 | MIT 6.172 Performance Engineering of Software Systems, Fall 2010
Lecture 13: Parallelism and Performance Instructor: Charles Leiserson View the complete course: http://ocw.mit.edu/6-172F10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.172 Performance Engineering of Software Systems
Lec 15 | MIT 6.189 Multicore Programming Primer, IAP 2007
Lecture 15: Cilk (Courtesy of Bradley Kuszmaul and Charles Leiserson. Used with permission.) License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu Subtitles are provided through the generous assistance of Rohan Pai.
From playlist MIT 6.189 Multicore Programming Primer, January (IAP) 2007
The Difference Between Pointwise Convergence and Uniform Convergence
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Difference Between Pointwise Convergence and Uniform Convergence
From playlist Advanced Calculus
Lec 22 | MIT 6.046J / 18.410J Introduction to Algorithms (SMA 5503), Fall 2005
Lecture 22: Advanced Topics View the complete course at: http://ocw.mit.edu/6-046JF05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.046J / 18.410J Introduction to Algorithms (SMA 5503),
The Fast Fourier Transform (FFT)
Here I introduce the Fast Fourier Transform (FFT), which is how we compute the Fourier Transform on a computer. The FFT is one of the most important algorithms of all time. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter
From playlist Fourier
The most powerful (and useless) algorithm
0:00 Intro 2:44 The Algorithm 6:38 Why it works 9:28 Code 10:41 Final Thoughts Our implementation of Universal Search: https://github.com/polylog-cs/universal-search/blob/main/code/universal_search.py Impromptu https://impromptu.fun/ More about universal search: -- To prove that the un
From playlist Algorithms
NIPS 2011 Big Learning - Algorithms, Systems, & Tools Workshop: Graphlab 2...
Big Learning Workshop: Algorithms, Systems, and Tools for Learning at Scale at NIPS 2011 Invited Talk: Graphlab 2: The Challenges of Large Scale Computation on Natural Graphs by Carlos Guestrin Carlos Guestrin is an Assistant Professor at Carnegie Mellon's Computer Science and Machine
From playlist NIPS 2011 Big Learning: Algorithms, System & Tools Workshop
Multivariable Calculus | The Squeeze Theorem
We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Duality Theorem In this video, I use a neat little trick to show that the limit as n goes to infinity of 2^n is infinity, by using the fact (shown before) that the limit of (1/2)^n is 0. Exponential Limit: https://youtu.be/qxlSclbmh-w Other examples of limits can be seen in the playlis
From playlist Sequences
Math 031 041217 Radius of Convergence of a Power Series
Review of the form of a domain of convergence for a power series. Crucial lemma: convergence at a point implies absolute convergence on an interval. Examples of finding the radius of convergence (using root and ratio tests). Facts about power series: sums, products, derivatives, and ant
From playlist Course 3: Calculus II (Spring 2017)
Ewin Tang - On quantum linear algebra for machine learning - IPAM at UCLA
Recorded 25 January 2022. Ewin Tang of the University of Washington presents "On quantum linear algebra for machine learning" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: We will discuss quantum singular value transformation (QSVT), a simple unifying framework for quantum
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
21.2.3 Thread-level Parallelism
MIT 6.004 Computation Structures, Spring 2017 Instructor: Chris Terman View the complete course: https://ocw.mit.edu/6-004S17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62WVs95MNq3dQBqY2vGOtQ2 21.2.3 Thread-level Parallelism License: Creative Commons BY-NC-SA More
From playlist MIT 6.004 Computation Structures, Spring 2017
Lecture 17, Interpolation | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 17, Interpolation Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES-6.007S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6.007 Signals and Systems, 1987
Rolando Somma - The Quantum Linear Systems Problem - IPAM at UCLA
Recorded 24 January 2022. Rolando Somma of Los Alamos National Laboratory presents "The Quantum Linear Systems Problem" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: The goal of the quantum linear systems problem (QLSP) is to prepare a quantum state proportional to the sol
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
Fourier series + Fourier's theorem
Free ebook http://tinyurl.com/EngMathYT A basic lecture on how to calculate Fourier series and a discussion of Fourier's theorem, which gives conditions under which a Fourier series will converge to a given function.
From playlist Engineering Mathematics