Random number generation | Cryptographic algorithms

Bach's algorithm

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).

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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

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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

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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

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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

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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

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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"

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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.

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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

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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

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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

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Newton's Method

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

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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

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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

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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

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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

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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

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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

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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"

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[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

Related pages

Prime number | Random number generation | Factorization | Algorithm | Rejection sampling