Triangles of numbers | Fibonacci numbers | Factorial and binomial topics
In mathematics, the Fibonomial coefficients or Fibonacci-binomial coefficients are defined as where n and k are non-negative integers, 0 ≤ k ≤ n, Fj is the j-th Fibonacci number and n!F is the nth Fibonorial, i.e. where 0!F, being the empty product, evaluates to 1. (Wikipedia).
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
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
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
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
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
The golden angle | Lecture 18 | Fibonacci Numbers and the Golden Ratio
Definition of the golden angle from 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: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Fibonacci Numbers and the Golden Ratio
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
Exercise - Write a Fibonacci Function
Introduction to the Fibonacci Sequence and a programming challenge
From playlist Computer Science
A nice Fibonacci reciprocal sum!
We calculate a nice sum involving reciprocals of 1+f_{2n+1}, where f_m is the mth Fibonacci number. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Identities involving Fibonacci numbers
Eulerianity of Fourier coefficients of automorphic forms - Henrik Gustafsson
Joint IAS/Princeton University Number Theory Seminar Topic: Eulerianity of Fourier coefficients of automorphic forms Speaker: Henrik Gustafsson Affiliation: Member, School of Mathematics Date: April 30, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Fourier coefficients of automorphic forms - Henrik Gustafsson
Short talks by postdoctoral members Topic: Fourier coefficients of automorphic forms Speaker: Henrik Gustafsson Affiliation: Member, School of Mathematics Date: September 25 For more video please visit http://video.ias.edu
From playlist Mathematics
Introduction to Polynomials (TTP Video 64)
https://www.patreon.com/ProfessorLeonard An explanation of the creation of polynomials and some of there properties.
From playlist To The Point Math (TTP Videos)
Emmanuel Candès: Wavelets, sparsity and its consequences
Abstract: Soon after they were introduced, it was realized that wavelets offered representations of signals and images of interest that are far more sparse than those offered by more classical representations; for instance, Fourier series. Owing to their increased spatial localization at f
From playlist Abel Lectures
Understanding Wavelets, Part 3: An Example Application of the Discrete Wavelet Transform
This video outlines the steps involved in denoising a signal with the discrete wavelet transform using MATLAB®. •Try Wavelet Toolbox: https://goo.gl/m0ms9d •Ready to Buy: https://goo.gl/sMfoDr Learn how this denoising technique compares with other denoising techniques. Video Transcript:
From playlist Understanding Wavelets
Statistical Learning: 6.6 Shrinkage methods and ridge regression
Statistical Learning, featuring Deep Learning, Survival Analysis and Multiple Testing You are able to take Statistical Learning as an online course on EdX, and you are able to choose a verified path and get a certificate for its completion: https://www.edx.org/course/statistical-learning
From playlist Statistical Learning
Charles Weibel: K-theory of algebraic varieties (Lecture 4)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 4 will survey computations for regular rings and smooth varieties. This includes motivic-to-K-theory methods, étale cohomology and regulators.
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Discretization and modelling of the non-cutoff Boltzmann collision operator using Hermite spectral
Zhenning Cai National University of Singapore, Singapore
From playlist 2018 Modeling and Simulation of Interface Dynamics in Fluids/Solids and Their Applications
Matrix algebra: determinants | Appendix B2 | Fibonacci Numbers and the Golden Ratio
What is a the determinant of a matrix? 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=1
From playlist Fibonacci Numbers and the Golden Ratio
Introduction to the Coefficient of Friction
Please do not confuse the Coefficient of Friction with the Force of Friction. This video will help you not fall into that Pit of Despair! Want Lecture Notes? http://www.flippingphysics.com/mu-intro.html This is an AP Physics 1 topic. 0:00 The equation for the Force of Friction 0:17 Mu, th
From playlist JEE Physics Unit 3 - Laws of Motion and NEET Unit III - Laws of Motion