Fibonacci word

Exercise - Write a Fibonacci Function

Introduction to the Fibonacci Sequence and a programming challenge

From playlist Computer Science

The Fibonacci Sequence

This video introduces the Fibonacci sequence and provides several examples of where the Fibonacci sequence appear in nature. http:mathispower4u.com

From playlist Mathematics General Interest

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

Iterative Fibonacci Function Example

One way to write a Fibonacci function iteratively

From playlist Computer Science

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

Greatest Common Divisor of Fibonacci Numbers

We prove a result regarding the greatest common divisor of Fibonacci numbers. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Identities involving Fibonacci numbers

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 Fibonacci bamboozlement | Lecture 8 | Fibonacci Numbers and the Golden Ratio

Explanation of the Fibonacci bamboozlement. The Fibonacci bamboozlement is a dissection fallacy where the rearrangement of pieces in a square can be used to construct a rectangle with one unit of area larger or smaller than that of the square. The square and rectangle have side lengths gi

From playlist Fibonacci Numbers and the Golden Ratio

Catalan's Identity for Fibonacci Numbers

We prove Catalan's identity involving Fibonacci numbers using an interesting property of matrices known as the determinant sum property. This is similar to two other identities which we proved in the following videos: Cassini's Identity: https://youtu.be/pn0J0p0R_GM d'Ocagne's Identity: h

From playlist Identities involving Fibonacci numbers

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

Using partial fractions to evaluate two Fibonacci reciprocal sums.

Being inspired by integration, we use partial fraction decomposition to determine a nice closed form for two infinite series involving reciprocals of the Fibonacci numbers. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-

From playlist Identities involving Fibonacci numbers

a very Fibonacci product!

We derive a nice infinite product involving Fibonacci numbers. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathematics/ Research Gate profile: https://www.

From playlist Identities involving Fibonacci numbers

Adventures in Automata with a Theorem-Prover

Public Lecture by Jeffrey Shallit (University of Waterloo) Here is the weblink for the publicly-available prover https://cs.uwaterloo.ca/~shallit/walnut.html

From playlist Public Lectures

Putnam Exam | 2012: A1

We present a solution to question A1 from the 2012 William Lowell Putnam Mathematics Competition. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Putnam Exam Solutions: A1/B1

Wicked Good Ruby 2013 - Killing Fibonacci by Dan Sharp

Testing is an important part of the development lifecycle of any software solution. It is particularly important in the Ruby community with lots of real and perceived pressure to test first, test often and test fully (or at least 90% coverage, right?). However, there has not been as much f

From playlist Wicked Good Ruby 2013

Strong Induction -- Proof Writing 15

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From playlist Proof Writing

A Beautiful Visual Interpretation - The Sum of Squares of the Fibonacci Numbers.

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

A nice Fibonacci sum done two ways!!

We find the infinite sum of f_n/2^n, where f_n is the nth Fibonacci number. As a tool, we construct the generating function for the Fibonacci sequence. We also find the sum using the "double summation trick" which was new to me!! This could also probably be done with summation by parts f

From playlist Identities involving Fibonacci numbers