Number theoretic algorithms

Integer relation algorithm

An integer relation between a set of real numbers x1, x2, ..., xn is a set of integers a1, a2, ..., an, not all 0, such that An integer relation algorithm is an algorithm for finding integer relations. Specifically, given a set of real numbers known to a given precision, an integer relation algorithm will either find an integer relation between them, or will determine that no integer relation exists with coefficients whose magnitudes are less than a certain upper bound. (Wikipedia).

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Adding Integers

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From playlist Integer operations

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Comparing and Ordering Integers

✅*CHECK YOUR ANSWERS*✅ *ON YOUR OWN ANSWERS* 1) 0 is greater than -2 2) -7 is less than 1 3) -4 is less than -2 4) -1 is greater than -8 5) -5, -3, -1, 1, 4 6) -7, -4, -3, 5, 8 This video is about how to compare integers using a number line to help and also how to order integers from lea

From playlist Integers and The Coordinate Plane

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Recurrence Relation Solution - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

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Greatest Integer Function With Limits & Graphs

This calculus video tutorial explains how to graph the greatest integer function and how to evaluate limits that contain it. This video contains plenty of examples and practice problems evaluating limits with the greatest integer function using the help of a number line. Examples include

From playlist New Calculus Video Playlist

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Adding Integers Using Formal Rules

This video explains how to add integers using formal rules for adding integers. http://mathispower4u.yolasite.com/

From playlist Integer operations

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Ex: Limits Involving the Greatest Integer Function

This video provides four examples of how to determine limits of a greatest integer function. Site: http://mathispower4u.com

From playlist Limits

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Learn how to add multi digit numbers using the vertical method

👉 You will learn how to add and subtract integers. We will work through adding and subtracting two integers up to multiple integers. We can look at adding and subtracting integers by looking at there values on a number line where there value is the place holder and there sign is there di

From playlist Integer Operations

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Basic Math - Adding and subtracting numbers

👉 You will learn how to add and subtract integers. We will work through adding and subtracting two integers up to multiple integers. We can look at adding and subtracting integers by looking at there values on a number line where there value is the place holder and there sign is there di

From playlist Integer Operations

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Basic Math - Adding a positive to a negative integer

👉 You will learn how to add and subtract integers. We will work through adding and subtracting two integers up to multiple integers. We can look at adding and subtracting integers by looking at there values on a number line where there value is the place holder and there sign is there di

From playlist Integer Operations

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Daniel Dadush: Integer Programming and the Kannan-Lovasz Conjecture

In this talk, I will give a (very) high-level overview of the lattice theoretic and convex geometric tools needed to solve n-variable integer programs in O(n)n time. In the process, I will introduce the Kannan-Lovasz conjecture, which posits the existence of very sparse lattice projections

From playlist Workshop: Parametrized complexity and discrete optimization

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Lehmer Factor Stencils: A paper factoring machine before computers

In 1929, Derrick N. Lehmer published a set of paper stencils used to factor large numbers by hand before the advent of computers. We explain the math behind the stencils, which includes modular arithmetic, quadratic residues, and continued fractions, including my favourite mathematical vi

From playlist Joy of Mathematics

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Quantum Algorithms and Complexity by Ashwin Nayak

Dates: Thursday 03 Jan, 2013 - Saturday 05 Jan, 2013 Venue: ICTS-TIFR, IISc Campus, Bangalore The school aims to provide students and researchers an introduction to the field of quantum information, computation and communication. Topics that will be covered include introduction to quantu

From playlist Mini Winter School on Quantum Information and Computation

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Phong NGUYEN - Recent progress on lattices's computations 1

This is an introduction to the mysterious world of lattice algorithms, which have found many applications in computer science, notably in cryptography. We will explain how lattices are represented by computers. We will present the main hard computational problems on lattices: SVP, CVP and

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

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Phong NGUYEN - Recent progress on lattices's computations 2

This is an introduction to the mysterious world of lattice algorithms, which have found many applications in computer science, notably in cryptography. We will explain how lattices are represented by computers. We will present the main hard computational problems on lattices: SVP, CVP and

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

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"From Diophantus to Bitcoin: Why Are Elliptic Curves Everywhere?" by Alvaro Lozano-Robledo

This talk was organized by the Number Theory Unit of the Center for Advanced Mathematical Sciences at the American University of Beirut, on November 1st, 2022. Abstract: Elliptic curves are ubiquitous in number theory, algebraic geometry, complex analysis, cryptography, physics, and beyo

From playlist Math Talks

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Barry Mazur - Logic, Elliptic curves, and Diophantine stability

This is the first lecture of the 2014 Minerva Lecture series at the Princeton University Mathematics Department October 14, 2014 An introduction to aspects of mathematical logic and the arithmetic of elliptic curves that make these branches of mathematics inspiring to each other. Specif

From playlist Minerva Lectures - Barry Mazur

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Daniel Kral: Parametrized approach to block structured integer programs

Integer programming is one of the most fundamental problems in discrete optimization. While integer programming is computationally hard in general, there exist efficient algorithms for special instances. In particular, integer programming is fixed parameter tractable when parameterized by

From playlist Workshop: Parametrized complexity and discrete optimization

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Mathematical Ideas in Lattice Based Cryptography - Jill Pipher

2018 Program for Women and Mathematics Topic: Mathematical Ideas in Lattice Based Cryptography Speaker: Jill Pipher Affiliation: Brown University Date: May 21, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Determine a Subtraction Problem Modeled on a Number Line

This video explains how to write an subtraction equation from a number line model. http://mathispower4u.com

From playlist Addition and Subtraction of Whole Numbers

Related pages

Jonathan Borwein | Bailey–Borwein–Plouffe formula | Factorization of polynomials | Logistic map | Euclidean algorithm | Continued fraction | Algebraic number | Infinite product | Numerical method | Almost integer | Multiple zeta function | Closed-form expression | Pi | Inverse Symbolic Calculator | Lenstra–Lenstra–Lovász lattice basis reduction algorithm | Series (mathematics) | Integral | Experimental mathematics | Algorithm