Continued fractions

Gauss's continued fraction

In complex analysis, Gauss's continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several important elementary functions, as well as some of the more complicated transcendental functions. (Wikipedia).

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Continued Fraction Expansions, Pt. III

A fascinating generalization linking sequences, continued fractions, and polynomials. Email: allLogarithmsWereCreatedEqual@gmail.com Subscribe! https://www.youtube.com/AllLogarithmsEqual

From playlist Number Theory

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Graphing Continued Fractions of Quadratic Irrationals

http://demonstrations.wolfram.com/GraphingContinuedFractionsOfQuadraticIrrationals The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Let x= ( a ) / ( b ) + ( c ) / ( d ) SqrtBox[S], a,b,c,d,S??. The continued fraction

From playlist Number Theory

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Algebraic Continued Fraction

The first part develops the fraction from a simple equation or statement with a single unknown variable and demonstrates the recursive, iterative procedure. Possibly as simple and straightforward as it is possible for me to do. The second part still confuses me and amounts to no mare than

From playlist Number Theory

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Continued Fraction Expansions Part II: Example Calculations

Complete with calculations and exercises! Let me know what you come up with. NEW (2016 Season): See Episode 3 here! https://youtu.be/4U9z5qoiDNQ ----- Sources for additional information: Very useful informative article (no surprise, it's from MathWorld): http://mathworld.wolfram.com/Con

From playlist Number Theory

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Continued fractions | Lecture 17 | Fibonacci Numbers and the Golden Ratio

What is a continued fraction, and why is the golden ratio considered to be the most irrational of the irrational numbers? Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtu

From playlist Fibonacci Numbers and the Golden Ratio

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Infinite Continued Fractions, simple or not?

Start learning today, click https://brilliant.org/blackpenredpen/ to check out Brillant.org. First 200 people to sign up will get 20% off your annual premium subscription! What Are Continued Fractions? Continued Fractions, Write sqrt(2) as a continued fraction, infinite simple continued

From playlist [Math For Fun] Brilliant Problems

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Continued Fractions

Keith Conrad (University of Connecticut) — January 28, 2015

From playlist Number Theory

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Continued Fraction Expansions, Part I: Introduction

An introduction to Continued Fraction Expansions (CFEs), a very interesting concept in pure mathematics. See sequels in this series: Part II: https://youtu.be/UY3oEOgXLsw Part III: https://youtu.be/4U9z5qoiDNQ ----- Sources for additional information: Very useful informative article (no

From playlist Number Theory

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Laura Capuano: An effective criterion for periodicity of p-adic continued fractions

Abstract: It goes back to Lagrange that a real quadratic irrational has always a periodic continued fraction. Starting from decades ago, several authors proposed different definitions of a p-adic continued fraction, and the definition depends on the chosen system of residues mod p. It turn

From playlist Women at CIRM

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Continued fractions, the Chen-Stein method and extreme value theory by Parthanil Roy

PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear

From playlist Advances in Applied Probability 2019

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Jesús María Sanz-Serna: Gauss's Gaussian quadrature

HYBRID EVENT Recorded during the meeting "1Numerical Methods and Scientific Computing" the November 9, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on

From playlist Numerical Analysis and Scientific Computing

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NUMBERS: "i", the Number of Heaven | Five numbers that changed the world | Cool Math

NUMBERS - secrets of Math. Mathematics is shrouded behind a veil and does not easily reveal itself. Students resort to rote memorization of math formulas to solve problems in a boring exercise of the mind that is also repetitive. However, if you knew the history of mathematics, the way the

From playlist Civilization

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MATH1050 Lec 27 Study Guide for Exam 4 College Algebra with Dennis Allison

See full course at: https://cosmolearning.org/courses/college-algebra-pre-calculus-with-dennis-allison/ Video taken from: http://desource.uvu.edu/videos/math1050.php Lecture by Dennis Allison from Utah Valley University.

From playlist UVU: College Algebra with Dennis Allison | CosmoLearning Math

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Primes and Equations | Richard Taylor

Richard Taylor, Professor, School of Mathematics, Institute for Advanced Study http://www.ias.edu/people/faculty-and-emeriti/taylor One of the oldest subjects in mathematics is the study of Diophantine equations, i.e., the study of whole number (or fractional) solutions to polynomial equ

From playlist Mathematics

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Manfred Madritsch: Normal and Non-Normal Numbers

CIRM HYBRID EVENT Recorded during the meeting "​ Diophantine Problems, Determinism and Randomness" the February 04, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathem

From playlist Probability and Statistics

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Gauss 2.0

Are you tired of making linear algebra mistakes? If yes, then this video is for you! Here I introduce a neat trick that will eliminate all of your gaussian elimination mistakes. This trick is due to Dr. Michiel Kosters, who has a math PhD friend who is currently working at Google. Enjoy th

From playlist Linear Algebra

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Peter C.W. Holdsworth - Emergence: from spins to charges

Emergence is a major buzz word of our times. My working definition, which gives plenty of room for manoeuvre is: the appearance of many body phenomena of higher symmetry than that of the Hamiltonian and degrees of freedom at the microscopic level. In this colloquium I will discuss a topi

From playlist Quantum Encounters Seminar - Quantum Information, Condensed Matter, Quantum Field Theory

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The Continuity Equation: A PDE for Mass Conservation, from Gauss's Divergence Theorem

This video dives into Gauss's Divergence theorem to derive the partial differential equation (PDE) for mass conservation, known as the continuity equation. This is one of the most fundamental equations in fluid mechanics. Specifically, for incompressible flows, the mass continuity equati

From playlist Engineering Math: Vector Calculus and Partial Differential Equations

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An Epic Gaussian Diamond Fraction [ Part 1 ]

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://papaflammy.myteespring.co/ https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Become a Member of the Flammily! :0 https://www.youtub

From playlist Number Theory

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e (Euler's Number) - Numberphile

Free trial at The Great Courses Plus: http://ow.ly/tKWt306Gg7a Dr James Grime discusses "e" - the famed Euler's Number. More links & stuff in full description below ↓↓↓ A bit extra from this video: https://youtu.be/uawO3-tjP1c More James Grime videos from Numberphile: http://bit.ly/grimev

From playlist Mathematics named after Leonhard Euler

Related pages

Transcendental number | Elementary function | Johann Heinrich Lambert | Complex analysis | Fresnel integral | Bessel function | Inverse trigonometric functions | Carl Friedrich Gauss | Hypergeometric function | Generalized continued fraction | Transcendental function | Exponential function | Binomial series | E (mathematical constant) | Meromorphic function | Error function | Adrien-Marie Legendre | Proof that π is irrational | Incomplete gamma function | Analytic continuation | Bernhard Riemann | Natural logarithm | Dawson function | Leonhard Euler