Fibonacci numbers and the golden ratio | Lecture 4 | Fibonacci Numbers and the Golden Ratio
Relationship between the Fibonacci numbers and the golden ratio. The ratio of consecutive Fibonacci numbers approaches the golden ratio. 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: h
From playlist Fibonacci Numbers and the Golden Ratio
The golden ratio | Lecture 3 | Fibonacci Numbers and the Golden Ratio
The classical definition of the golden ratio. Two positive numbers are said to be in the golden ratio if the ratio between the larger number and the smaller number is the same as the ratio between their sum and the larger number. Phi=(1+sqrt(5))/2 approx 1.618. Join me on Coursera: http
From playlist Fibonacci Numbers and the Golden Ratio
What do Fibonacci numbers have to do with combinatorics?
Part II: https://youtu.be/_RHXmGWXUvw Note: You ABSOLUTELY DON'T NEED TO HAVE KNOWN ANY COMBINATORICS because the combinatorics required in this video would be explained thoroughly. Source of the beautiful thumbnail: https://www.videoblocks.com/video/winter-stargate-deep-space-fibonacci-
From playlist Fibonacci
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
The Fibonacci Q-matrix | Lecture 6 | Fibonacci Numbers and the Golden Ratio
Defines the Fibonacci Q-matrix and shows how to raise this matrix to the nth power. 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.youtube.com/user/jchasnov?sub_confirmation=
From playlist Fibonacci Numbers and the Golden Ratio
Exercise - Write a Fibonacci Function
Introduction to the Fibonacci Sequence and a programming challenge
From playlist Computer Science
STAIRS reveal the relationship between Fibonacci and combinatorics
Part I: https://youtu.be/Hl61mJxILA4 Source of the beautiful thumbnail: https://www.videoblocks.com/video/winter-stargate-deep-space-fibonacci-spiral-infinite-zoom-scl2tvcpliylych5s I am still surprised at why I have not thought of this more direct linkage between Fibonacci numbers and c
From playlist Fibonacci
Cassini's identity | Lecture 7 | Fibonacci Numbers and the Golden Ratio
Derivation of Cassini's identity, which is a relationship between separated Fibonacci numbers. The identity is derived using the Fibonacci Q-matrix and determinants. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pd
From playlist Fibonacci Numbers and the Golden Ratio
The Mystery of the Fibonacci Cycle
A video about the mysterious pattern found in the final digits of Fibonacci numbers. It turns out, if you write out the full sequence of Fibonacci numbers, the pattern of final digits repeats every 60 numbers. What’s up with that? Watch this video and you’ll find out! (My apologies to any
From playlist Summer of Math Exposition Youtube Videos
Katherine Stange: A visual tour of Fibonacci numbers and their eccentric cousins, elliptic divisibility sequences: 19th International Fibonacci Conference.
From playlist My Math Talks
Kirk McDermott: Topological Aspects of the Shift Dynamics of the Groups of Fibonacci Type
Kirk McDermott, Slippery Rock University of Pennsylvania Title: Topological Aspects of the Shift Dynamics of the Groups of Fibonacci Type A group is cyclically presented if it admits a presentation with a certain cyclic symmetry. Such a symmetry induces a periodic automorphism of the group
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Florian Luca: Fibonacci numbers and repdigits
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 26, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Complexity problems in enumerative combinatorics – Igor Pak – ICM2018
Combinatorics Invited Lecture 13.9 Complexity problems in enumerative combinatorics Igor Pak Abstract: We give a broad survey of recent results in enumerative combinatorics and their complexity aspects. © International Congress of Mathematicians – ICM www.icm2018.org Os direitos s
From playlist Combinatorics
The Millin Series (A nice Fibonacci sum)
We derive the closed form for the Millin series, which involves reciprocals of the 2^nth Fibonacci numbers. We use Catalan's identity, the convergence of a subsequence, and the golden ratio. Catalan's Identity: https://youtu.be/kskAtiWC_w8 Another reciprocal Fibonacci sum: https://youtu.b
From playlist Identities involving Fibonacci numbers
Introduction to Algebraic Theory of Quandles (Lecture - 1) by Valeriy Bardakov
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
Darij Grinberg - The one-sided cycle shuffles in the symmetric group algebra
We study a new family of elements in the group ring of a symmetric group – or, equivalently, a class of ways to shuffle a deck of cards. Fix a positive integer n. Consider the symmetric group S_n. For each 1 ≤ ℓ ≤ n, we define an element t_ℓ := cyc_ℓ + cyc{ℓ,ℓ+1} + cyc_{ℓ,ℓ+1,ℓ+2} + · · ·
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
The Fibonacci sequence | Lecture 1 | Fibonacci Numbers and the Golden Ratio
A description of the famous rabbit problem leading to the Fibonacci recursion relation and the Fibonacci sequence. 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.youtube.com/
From playlist Fibonacci Numbers and the Golden Ratio
Mathematical Induction Number Theory 2
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http
From playlist Number Theory