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
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
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
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
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 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
The Magical Fraction 1/999,999,999,999,999,999,999,998,999,999,999,999,999,999,999,999
The number 1/999,999,999,999,999,999,999,998,999,999,999,999,999,999,999,999 has the Fibonacci numbers in order for every group of 24 decimals. This video explains why the pattern emerges. (sources, proofs, and links below) Via Futility Closet: http://www.futilitycloset.com/2015/06/28/mad
From playlist Everyday Math
Finding Fibonacci general term using LINEAR ALGEBRA
Previous video: https://youtu.be/2j-XvUV2-aY Fibonacci and Combinatorics (Part I): https://youtu.be/Hl61mJxILA4 Fibonacci and Combinatorics (Part II): https://youtu.be/_RHXmGWXUvw Linear Algebra is another plausible method to tackle any recurrence relation formula, including Fibonacci seq
From playlist Fibonacci
How did Fibonacci beat the Solitaire army?
Fibonacci and a super pretty piece of life-and-death mathematics. What can go wrong? 00:00 Intro 02:20 Solitaire 03:12 Survivor challenge 05:32 Invasion 11:41 The triangles of death 20:22 Final animation 21:43 Thank You! Here is an online version of Marty and my newspaper article about
From playlist Recent videos
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
Mathematics - Fibonacci Sequence and the Golden Ratio
This mathematics video tutorial provides a basic introduction into the fibonacci sequence and the golden ratio. It explains how to derive the golden ratio and provides a general formula for finding the nth term in the fibonacci sequence. This sequence approaches a geometric sequence when
From playlist New Precalculus Video Playlist
Fibonacci = Pythagoras: Help save a beautiful discovery from oblivion
In 2007 a simple beautiful connection Pythagorean triples and the Fibonacci sequence was discovered. This video is about popularising this connection which previously went largely unnoticed. 00:00 Intro 07:07 Pythagorean triple tree 13:44 Pythagoras's other tree 16:02 Feuerbach miracle 24
From playlist Recent videos
The stabilized symplectic embedding problem - Dusa McDuff [2017]
Name: Dusa McDuff Event: Workshop: Geometry of Manifolds Event URL: view webpage Title: The stabilized symplectic embedding problem Date: 2017-10-25 @4:00 PM Location: 103 Abstract: I will describe some of what is known about the question of when one open subset of Euclidean space embeds
From playlist Mathematics
#MegaFavNumbers - Modulo Polygon Sequences
In this video, we give a brief overview of a sequence of numbers that considers the graph (vertex-edge form) of the Fibonacci numbers modulo n, and investigate some fascinating properties of the graph and conjecture a few properties of the sequence. Side note: In order to numerically anal
From playlist MegaFavNumbers
Lecture 19 - Examples of Dynamic Programming
This is Lecture 19 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture12.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
Exercise - Write a Fibonacci Function
Introduction to the Fibonacci Sequence and a programming challenge
From playlist Computer Science
!!Con 2019 - Writing an Interpreter in SQL for Fun and No Profit! by Michael Malis
!!Con 2019 - Writing an Interpreter in SQL for Fun and No Profit! by Michael Malis Writing SQL can be hard. SQL code is a bizarre combination of yelling and relational algebra. How can we make writing SQL easier? By embedding our own programming language in our SQL queries of course! In
From playlist !!Con 2019