Mathematical constants | Number theory | Stochastic processes | Fibonacci numbers
In mathematics, the random Fibonacci sequence is a stochastic analogue of the Fibonacci sequence defined by the recurrence relation , where the signs + or − are chosen at random with equal probability , independently for different . By a theorem of Harry Kesten and Hillel Furstenberg, random recurrent sequences of this kind grow at a certain exponential rate, but it is difficult to compute the rate explicitly. In 1999, showed that the growth rate of the random Fibonacci sequence is equal to 1.1319882487943...(sequence in the OEIS), a mathematical constant that was later named Viswanath's constant. (Wikipedia).
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
Exercise - Write a Fibonacci Function
Introduction to the Fibonacci Sequence and a programming challenge
From playlist Computer Science
5 ways to derive the general term of Fibonacci sequence
Matrix multiplication video: https://youtu.be/q1WRozg574k Previous video using generating function: https://youtu.be/Hl61mJxILA4 What if you are told to find the 100th Fibonacci number? Do you start from the first two terms? Wouldn't it be better if you know the general term of Fibonacci
From playlist Fibonacci
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
Iterative Fibonacci Function Example
One way to write a Fibonacci function iteratively
From playlist Computer Science
Math in a Minute: Explicit Form for the Fibonacci Sequence
Jacob derives a non-recursive representation for the elements of the well-known Fibonacci sequence in less than sixty seconds.
From playlist Mathematics in a Minute
A Fibonacci bounded partial sum of the Harmonic series.
We determine the limit of a certain sequence defined in terms of Fibonacci and Harmonic numbers. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Identities involving Fibonacci numbers
Random Fibonacci Numbers - Numberphile
Dr James Grime on random Fibonacci Sequences... Extra footage: https://youtu.be/F0C4U7Q5yXU More links & stuff in full description below ↓↓↓ Fibonacci Numbers in the Mandelbrot Set: https://youtu.be/4LQvjSf6SSw More James Grime videos: http://bit.ly/grimevideos Our podcast interview wit
From playlist James Grime on Numberphile
In this video I use diagonalization to find an explicit formula for the Fibonacci sequence. Enjoy!
From playlist Eigenvalues
Katherine Stange: A visual tour of Fibonacci numbers and their eccentric cousins, elliptic divisibility sequences: 19th International Fibonacci Conference.
From playlist My Math Talks
Classical and Quantum Walks : The beauty of of numbers and probabilities by Sanchari Goswami
DISCUSSION MEETING: 7TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay, Abhishek Dhar, Kavita Jain, Rahul Pandit, Sanjib Sabhapandit, Samriddhi Sankar Ray and Prerna Sharma DATE: 19 February 2020 to 21 February 2020 VENUE: Ramanujan Lecture Hall, ICTS Ban
From playlist 7th Indian Statistical Physics Community Meeting 2020
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
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
Brady Numbers T-Shirt: http://bit.ly/T-Shirt-BN Part One of Golden Ratio Trilogy More links & stuff in full description below ↓↓↓ The new "Brady Sequence" demonstrates why Fibonacci Numbers are not so special. Featuring Matt Parker. Next in the trilogy: http://youtu.be/dTWKKvlZB08 Matt's
From playlist Matt Parker (standupmaths) on Numberphile
Can a Neural Network Approximate Fibonacci Numbers? | Universal Approximation Theorem
In this video, I tried to approximate Fibonacci numbers using a neural network with a single hidden layer. The results are pretty good which shows that neural networks are universal function approximators! #neuralnetwork #fibonaccisequence #normalizednerd Support me if you can ❤️ https://
From playlist Learn Machine Learning Concepts
Sign up on Brilliant for FREE using the link https://brilliant.org/FlammableMaths ! =D Fibonacci: https://youtu.be/WT_TGxQrV1k Today we explore Fibonacci Numbers of fractional order! :) We take our formula for the n-th fib boi and extend it to the whole domain of real numbers! Enjoy! =D
From playlist Number Theory
Lecture 12 - Fibonacci Numbers
This is Lecture 12 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2012.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Deep Learning with Python: Theano "for" Loops – the "scan" Module | packtpub.com
This playlist/video has been uploaded for Marketing purposes and contains only introductory videos. For the entire video course and code, visit [http://bit.ly/1TNKtzC]. How to write a loop in Theano? • Define the "step" function • Iterate the step with "scan" • Compile and test the f
From playlist Deep Learning with Python Tutorial
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
Demystifying the Golden Ratio (Part 2)
In this second video of the series, we explore the relationship between the Golden Ratio and the equation defining the Fibonocci numbers.
From playlist Demystifying the Golden Ratio