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
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
Dimitry Gurevich - q-cut-and-join Operators and q-Capelli Identity on Reflection Equation Algebras
There exists a way, based on the notion of Quantum Doubles, to introduce analogs of partial derivatives on the so-called Reflection Equation algebras. Analogously to the classical case it is possible to use these ”q-derivatives” for different applications. I plan to explain their utility f
From playlist Combinatorics and Arithmetic for Physics: special days
The Theta Correspondence Origins, Results, and Ramifications Part II
Professor Roger Howe, Texas A&M University, USA
From playlist Distinguished Visitors Lecture Series
For millions of people, the word 'mafia' conjures images of "The Godfather" and "The Sopranos". But what is 'the Mafia', exactly? Where does the term come from, and how has the definition changed over time? SUBSCRIBE | http://bit.ly/stdwytk-sub WEBSITE | http://bit.ly/stdwytk-home AUD
From playlist Stuff They Don't Want You To Know, New Episodes!
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
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 Beltrami Identity is a necessary condition for the Euler-Lagrange equation (so if it solves the E-L equation, it solves the Beltrami identity). Here it is derived from the total derivative of the integrand (e.g. Lagrangian).
From playlist Physics
Vera Serganova: Capelli eigenvalue problem for Lie superalgebras and supersymetric polynominals
Abstract: We study invariant differential operators on representations of supergroups associated with simple Jordan superalgebras, in the classical case this problem goes back to Kostant. Eigenvalues of Capelli differential operators give interesting families of polynomials such as super J
From playlist Mathematical Physics
Dimitry Gurevich - New applications of the Reflection Equation Algebras
The REA are treated to be q-analogs of the enveloping algebras U(gl(N)). In particular, each of them has a representation category similar to that of U(gl(N)). I plan to exhibit new applications of these algebras: 1. q-analog of Schur-Weyl duality 2. q-Capelli formula 3. q-Frobenius formul
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
Italian Vocabulary: Parts of the Body
Vocabulary is always fun! Today let's go over the parts of the body. You know, head and arms and stomach, that kind of stuff. That way if you get hurt in Italy, you'll know what to tell the doctor! Script by Patrizia Farina, Professor of Italian at Western Connecticut State University and
From playlist Italian
Apache Spark Interview Questions And Answers | Apache Spark Interview Questions 2020 | Simplilearn
This Simplilearn video on Apache Spark interview questions and answers will acquaint you with all the important Spark questions that will help you crack an interview. We will cover questions on various topics like Spark Streaming, Spark MLlib, Spark SQL, and GraphX to name a few. So, let's
From playlist Interview Questions And Answers | Simplilearn🔥[2022 Updated]
Deriving the Inertia Tensor #justgirlythings
Today I show you how to take the definition of angular momentum of a rigid body, and use it to derive the components of the inertia tensor. For those of you who think I did some witchcraft with those cross products, here's my levi civita video: https://www.youtube.com/watch?v=XKClHQbCbsw&
From playlist Math/Derivation Videos
Since we just learn the pronoun ne, let's learn another one: ci. This has a lot of uses, as ci locativo, ci argomentale, and more. Let's learn how to use it! Script by Patrizia Farina, Professor of Italian at Western Connecticut State University and Purchase College. Watch the whole Ital
From playlist Italian
🔥A Live Look At AI For Decision Making: Business Strategies And Applications | Simplilearn
🔥Free Machine Learning Course with Completion Certificate: https://www.simplilearn.com/learn-machine-learning-basics-skillup?utm_campaign=WebinarSep06&utm_medium=DescriptionFirstFold&utm_source=youtube About the Webinar: Artificial intelligence is transforming business at every level. Ente
From playlist Simplilearn Live
An infinite product involving Fibonacci numbers!
After sketching two proofs of the closed form of the Fibonacci numbers, we find the value of an infinite product involving this famous sequence. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Identities involving Fibonacci numbers
Entanglement Entropy - III by Marina Huerta
Advanced Strings School 2015 TALKS URL: https://www.icts.res.in/program/all/t... PROGRAM URL: http://www.icts.res.in/program/SS2015 ORGANIZERS: Justin David, Chethan Krishnan and Gautam Mandal DATES: Thursday 11 Jun, 2015 - Thursday 18 Jun, 2015 VENUE: Physics Department, Indian Instit
From playlist Advanced Strings School 2015
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
Patrick Vaccaro, Optical Rotatory Dispersion: New Twists on an Old Topic - 31 January 2018
https://www.sns.it/eventi/optical-rotatory-dispersion-new-twists-old-topic Colloqui della Classe di Scienze Patrick Vaccaro, Department of Chemistry, Yale University, New Haven, CT USA Optical Rotatory Dispersion: New Twists on an Old Topic Abstract Among the many physicochemical propert
From playlist Colloqui della Classe di Scienze