Random number generation | Cryptographic algorithms
Bach's algorithm is a probabilistic polynomial time algorithm for generating random numbers along with their factorizations, named after its discoverer, Eric Bach. It is of interest because no algorithm is known that efficiently factors numbers, so the straightforward method, namely generating a random number and then factoring it, is impractical. The algorithm performs, in expectation, O(log n) primality tests. A simpler, but less efficient algorithm (performing, in expectation, primality tests), is due to Adam Kalai. (Wikipedia).
Newton-Raphson method | Animated and explained | Algorithm for finding roots of a function
The Newton-Raphson method or Newton-Raphson algorithm is a way to numerically determine the roots of some function. It relies on an initial guess where a root of the function might be and then gives an iterative process to find the root. Choosing different starting points one can find all
From playlist Newton-Raphson Algorithm
Ex: Newton's Method to Approximate Zeros -- 2 Iterations
This video provides an example of how to approximate zeros or roots of a polynomial equation using Newton's Method. Two iterations are provided. Site: http://mathispower4u.com
From playlist Newton’s Method and L’Hopital’s Rule
Using Taylor Polynomials to Approximate Functions
This video shows how to determine a Taylor Polynomial to approximate a function. http://mathispower4u.yolasite.com/
From playlist Infinite Sequences and Series
Newton-Raphson Algorithm in Python | Finding real and complex roots systematically
The algorithm explained: https://www.youtube.com/watch?v=qlNqPE_X4ME In this video tutorial I show you how to implement the Newton-Raphson algorithm in Python. The basic algorithm is very straightforward to implement, but there are a few tricks and things to keep in mind. In the video I s
From playlist Newton-Raphson Algorithm
Newton's Method for Systems of Nonlinear Equations
Generalized Newton's method for systems of nonlinear equations. Lesson goes over numerically solving multivariable nonlinear equations step-by-step with visual examples and explanation of the Jacobian, the backslash operator, and the inverse Jacobian. Example code in MATLAB / GNU Octave on
From playlist Newton's Method
Anton Freund: Bachmann Howard Fixed Points
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: A dilator T transforms each well-order X into another well-order T[X], in a particularly uniform way. An order X is called a Bachmann-Howard fixed point of T if there is
From playlist Workshop: "Proofs and Computation"
How to Compute a Maclaurin Polynomial
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook What is a Maclaurin polynomial? In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point
From playlist A second course in university calculus.
How to build an A.I. brain that can conceive of itself | Joscha Bach | Big Think
How to build an A.I. brain that can conceive of itself Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- A.I. can perform tr
From playlist The future: artificial intelligence | Big Think
Music on a Clear Möbius Strip - Numberphile
The mathematical genius of JS Bach - featuring Marcus Du Sautoy. More links & stuff in full description below ↓↓↓ See books by Marcus, including his latest "Thinking Better: The Art of the Shortcut" --- https://amzn.to/3j5FygD Marcus' website with latest info: https://www.simonyi.ox.ac.uk
From playlist Marcus Du Sautoy on Numberphile
The Creativity Code - Marcus du Sautoy
Oxford Mathematics Public Lectures: Marcus du Sautoy - The Creativity Code: How AI is learning to write, paint and think. Artificial Intelligence (AI) is a great asset. Artificial Intelligence is a threat to our freedom. Much of the debate around AI seems to focus on these two positions
From playlist Oxford Mathematics Public Lectures
This video explains Newton's Method and provides an example. It also shows how to use the table feature of the graphing calculator to perform the calculations needed for Newton's Method. http://mathispower4u.wordpress.com/
From playlist Newton’s Method and L’Hopital’s Rule
Lecture 10B | MIT 6.001 Structure and Interpretation, 1986
Storage Allocation and Garbage Collection Despite the copyright notice on the screen, this course is now offered under a Creative Commons license: BY-NC-SA. Details at http://ocw.mit.edu/terms Subtitles for this course are provided through the generous assistance of Henry Baker, Hoof
From playlist MIT 6.001 Structure and Interpretation, 1986
Bettina EICK - Computational group theory, cohomology of groups and topological methods 5
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Interview at CIRM: Martin Gander
Interview at CIRM Martin Gander (University of Genève) held the Jean-Morlet Chair at CIRM during the second semester of 2022, in collaboration with Florence Hubert (Aix-Marseille University, co-holder). His research focuses on application-oriented applied and computational mathematics. I
From playlist Jean-Morlet Chair - Gander/Hubert
How Human Consciousness Evolved | Daniel Dennett | Big Think
How Human Consciousness Evolved Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Daniel C. Dennett is the author of Intuiti
From playlist Daniel Dennett | Big Think
Taylor Series and Taylor Polynomials
What is a Taylor series? How to make a Taylor Series for a function. Step by step example of approximating cos(x) around x = 2.
From playlist Calculus
NLP With Deep Learning For Sentiment Analysis And Personality Prediction | Session 04 | #AI
Don’t forget to subscribe! This project series is about NLP with deep learning for sentiment analysis and personality prediction. Capturing sentiment is important in these times, as a single viral tweet can impact a company, or a person's, brand for being positive, or devastate profit b
From playlist NLP With Deep Learning For Sentiment Analysis And Personality Prediction
Francis Bach: Large scale Machine Learning and Convex Optimization (Lecture 3)
Many machine learning and signal processing problems are traditionally cast as convex optimization problems. A common difficulty in solving these problems is the size of the data, where there are many observations ("large n") and each of these is large ("large p"). In this setting, online
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
[Calculus] Newton's Method || Lecture 36
Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any que
From playlist Calculus 1