Fibonacci search scheme for finding the minimum of a function discovered by J. Kiefer and S. M. Johnson. This interval-based numerical method improves on Ternary Search and Dichotomous Search be reusing interval points based on ratios from the Fibonacci Sequence. Code can be found on GitHu
From playlist Numerical Methods
Generating Functions and Combinatorial Identities
We describe one method of manipulating generating function to produce new combinatorial sum identities. We include an application of finding the value of a certain sum involving Fibonacci numbers. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Identities involving Fibonacci numbers
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
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
Exercise - Write a Fibonacci Function
Introduction to the Fibonacci Sequence and a programming challenge
From playlist Computer Science
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
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
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
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
Golden-section Search is a minimization algorithm that expands on the Fibonacci Search scheme described by J. Kiefer and S. M. Johnson. This interval-based numerical method improves on Ternary Search and Dichotomous Search be reusing interval points based on the golden ratio (phi). Code ca
From playlist Numerical Methods
Lec 3 | MIT 6.046J / 18.410J Introduction to Algorithms (SMA 5503), Fall 2005
Lecture 03: Divide-and-Conquer: Strassen, Fibonacci, Polynomial Multiplication View the complete course at: http://ocw.mit.edu/6-046JF05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.046J / 18.410J Introduction to Algorithms (SMA 5503),
Week 4: Friday - CS50 2007 - Harvard University
Debugging software. Designing software.
From playlist CS50 Lectures 2007
A Beginner's Guide to Recursion
Recursion has an intimidating reputation for being the advanced skill of coding sorcerers. But in this tutorial we look behind the curtain of this formidable technique to discover the simple ideas under it. Through live coding demos in the interactive shell, we'll answer the following que
From playlist Software Development
CSE 373 -- Lecture 18, Fall 2020
From playlist CSE 373 -- Fall 2020
Lecture 18 - Introduction to Dynamic Programming
This is Lecture 18 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www3.cs.stonybrook.edu/~skiena/] at Stony Brook University in 2016. The lecture slides are available at: https://www.cs.stonybrook.edu/~skiena/373/newlectures/lecture16.pdf More inf
From playlist CSE373 - Analysis of Algorithms 2016 SBU
Lecture 20: Dynamic Programming II: Text Justification, Blackjack
MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: http://ocw.mit.edu/6-006F11 Instructor: Erik Demaine License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.006 Introduction to Algorithms, Fall 2011
Iterative Fibonacci Function Example
One way to write a Fibonacci function iteratively
From playlist Computer Science