Integer factorization algorithms | Computational number theory

Fast Library for Number Theory

The Fast Library for Number Theory (FLINT) is a C library for number theory applications. The two major areas of functionality currently implemented in FLINT are polynomial arithmetic over the integers and a quadratic sieve. The library is designed to be compiled with the GNU Multi-Precision Library (GMP) and is released under the GNU General Public License. It is developed by of the University of Kaiserslautern (formerly University of Warwick) and of University of New South Wales (formerly Harvard University) to address the speed limitations of the PARI and NTL libraries. (Wikipedia).

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Number theory Full Course [A to Z]

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio

From playlist Number Theory

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How to Learn Number Theory

In this video I go over a book that I read to help teach myself some Number Theory. I have never taken a course in number theory and I was able to read this book and learn some of the material on my own. This is the book on amazon: https://amzn.to/2MNoex4 (note this is an affiliate link,

From playlist Cool Math Stuff

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Prove that there is a prime number between n and n!

A simple number theory proof problem regarding prime number distribution: Prove that there is a prime number between n and n! Please Like, Share and Subscribe!

From playlist Elementary Number Theory

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Introduction to number theory lecture 27. Groups and number theory

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We show how many of the theorems of number theory are special cases of theorems of groups t

From playlist Introduction to number theory (Berkeley Math 115)

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Abundant, Deficient, and Perfect Numbers ← number theory ← axioms

Integers vary wildly in how "divisible" they are. One way to measure divisibility is to add all the divisors. This leads to 3 categories of whole numbers: abundant, deficient, and perfect numbers. We show there are an infinite number of abundant and deficient numbers, and then talk abou

From playlist Number Theory

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Introduction to number theory lecture 43 Gaussian integers

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We give some applications of Gaussian integers to the binary quadratic form x^2+y^2. The t

From playlist Introduction to number theory (Berkeley Math 115)

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The Math Needed for Computer Science (Part 2) | Number Theory and Cryptography

STEMerch Store: https://stemerch.com/ If you missed part 1: https://www.youtube.com/watch?v=eSFA1Fp8jcU Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter

From playlist Computer Science/Computer Engineering

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A Short Course in Algebra and Number Theory - Elementary Number Theory

To supplement a course taught at The University of Queensland's School of Mathematics and Physics I present a very brief summary of algebra and number theory for those students who need to quickly refresh that material or fill in some gaps in their understanding. This is the fourth lectu

From playlist A Short Course in Algebra and Number Theory

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Introduction to number theory lecture 15. Numerical calculation

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We discuss some methods for speeding up number theory calcuations on a computer. Correctio

From playlist Introduction to number theory (Berkeley Math 115)

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Volker Blum - Large-scale electronic structure theory in FHI-aims and ELSI - IPAM at UCLA

Recorded 29 March 2023. Volker Blum of Duke University presents "Large-scale electronic structure theory in FHI-aims and ELSI" at IPAM's Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing workshop. Abstract: This talk outlines new developments in the F

From playlist 2023 Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing

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Data Science with Mathematica -- LibraryLink, CUDA, CUDALink, and CUDA through LibraryLink

In this video of the Data Science with Mathematica track I provide a very rudimentary introduction to LibraryLink, the CUDALink package, and the use of CUDA through LibraryLink, the latter being my preference, as it offers the greatest flexibility, and one can use all the features of your

From playlist Data Science with Mathematica

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Monadic Parsers at the Input Boundary

When reading a byte stream over the process I/O boundary, the first thing which everyone should do is to parse the byte stream with a monadic parser. The talk will discuss Processes and input byte streams. Monadic parsers. What they are and why they matter. The design and use of the pure

From playlist Functional Programming

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Next Level Virtual Machine Maneuver! by Mitchell Hashimoto

Almost every developer has dreams of grandeur made up of machines bending to our every will. This is now not only possible, but its a good a practice! Harnessing some Ruby power and by scripting Vagrant, an application to build virtualized environments, virtual machines can be used in prev

From playlist Ruby Conference 2011

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Lesson 1: Deep Learning 2019 - Image classification

Note: please view this using the video player at http://course.fast.ai, instead of viewing on YouTube directly, to ensure you have the latest information. If you have questions, see if your question already has an answer by searching http://forums.fast.ai, and then post there if required.

From playlist Practical Deep Learning for Coders 2019

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Intro to Machine Learning: Lesson 1

Introduction to Random Forests. Welcome to Introduction to Machine Learning for Coders! Lesson 1 will show you how to create a "random forest" - perhaps the most widely applicable machine learning model - to create a solution to the "Bull Book for Bulldozers" Kaggle competition, which will

From playlist Introduction to Machine Learning for Coders

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Best practice from Julia: Impact through efficient research code

The challenge of bringing projects from research to real world impact is spinning out of control. Ideas need to reach clusters and super-computers for large scale data; be deployed to the cloud for real-time analysis, and be built on by other industrial and academic projects. Adhoc soluti

From playlist Turing Seminars

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Lesson 1: Deep Learning 2018

NB: Please go to http://course.fast.ai to view this video since there is important updated information there. If you have questions, use the forums at http://forums.fast.ai Welcome to the start of your fast.ai journey! In today’s lesson you’ll set up your deep learning server, and trainin

From playlist Deep Learning v2

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Evan Weinberg - Acceleration techniques - IPAM at UCLA

Recorded 16 March 2023. Evan Weinberg of Nvidia Corporation presents "Acceleration techniques" at IPAM's New Mathematics for the Exascale: Applications to Materials Science Tutorials. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/new-mathematics-for-the-exascale-applica

From playlist 2023 New Mathematics for the Exascale: Applications to Materials Science Tutorials

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DjangoCon 2014- From __icontains to search

By, Honza Král Good search experience for your users is about more than just a more efficient way to find models containing certain word or phrase. In this talk we'll go through what are the relevant parts of search and how to best implement them (we'll use Elasticsearch for actual example

From playlist DjangoCon 2014

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Introduction to number theory lecture 1.

This lecture is the first lecture of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 This lecture gives a survey of some of the topics covered later in the course,

From playlist Introduction to number theory (Berkeley Math 115)

Related pages

Number Theory Library | Mathematical software | PARI/GP | Quadratic sieve | Number theory