Viviani's Theorem | Visualization and Proof
A visual proof of Viviani's theorem. For any point inside an equilateral triangle, the sum of its perpendicular distances from the three sides is constant. And, this sum is equal to the length of the triangle's altitude. Follow: https://instagram.com/doubleroot.in Music by CeeaDidIt from
From playlist Summer of Math Exposition Youtube Videos
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
A Gaussian de Finetti theorem and application (...) - A.Leverrier - Workshop 2 - CEB T3 2017
Anthony Leverrier / 23.10.17 A Gaussian de Finetti theorem and application to truncations of random Haar matrices de Finetti theorems are pervasive in finite-dimensional quantum information theory as they state that permutation invariant quantum systems are in some sense close to convex
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
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
De Moivre's formula: a COOL proof
A quick way of proving De Moivre's formula! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook Hi again everyone, Chris Tisdell here again. In this presentation I am going to continue my series of videos on complex numbers. In particular, in this presentation, I am g
From playlist Intro to Complex Numbers
T. Tsankov: On some generalizations of de Finetti's theorem
T. Tsankovs lecture was held within the framework of the Hausdorff Trimester Program Universality and Homogeneity during the workshop on Homogeneous Structures (31.10.2013)
From playlist HIM Lectures: Trimester Program "Universality and Homogeneity"
Relevance model 3: probability for a set of words
[http://bit.ly/RModel] How do we estimate a joint probability of observing a set of words? We cannot count the frequency (it'll be zero for a large set), and should not assume that the words are independent (pointless). Instead, we assume the words are exchangeable (order-invariant), and a
From playlist IR18 Relevance Model
Relevance model 5: summary of assumptions
[http://bit.ly/RModel] The relevance model ranking is based on the probability ranking principle (PRP). It uses the background (corpus) model as a language model for the non-relevant class (just like the classical model), but has a novel estimate for the relevance model. The estimate is ba
From playlist IR18 Relevance Model
Ptolemy's theorem and generalizations | Rational Geometry Math Foundations 131 | NJ Wildberger
The other famous classical theorem about cyclic quadrilaterals is due to the great Greek astronomer and mathematician, Claudius Ptolemy. Adopting a rational point of view, we need to rethink this theorem to state it in a purely algebraic way, without resort to `distances' and the correspon
From playlist Math Foundations
Florin Avram: Optimizing dividends and capital injections limited by bankruptcy, and practical...
The recent papers Gajek-Kucinsky (2017), Avram-Goreac-LiWu (2020) investigated the control problem of optimizing dividends when limiting capital injections by bankruptcy is taken into consideration. The first paper works under the spectrally negative Levy model; the second works under the
From playlist Virtual Conference
Mario Berta: "Characterising quantum correlations of fixed dimension"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Characterising quantum correlations of fixed dimension" Mario Berta - Imperial College London Abstract: We give a converging semidefinite programming hierarchy of outer approximations for the set of quantum correlations
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
Number Theorem | Gauss' Theorem
We prove Gauss's Theorem. That is, we prove that the sum of values of the Euler phi function over divisors of n is equal to n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Number Theory
13 exchangeability what is its significance?
For more information on econometrics and Bayesian statistics, see: https://ben-lambert.com/
From playlist Bayesian statistics: a comprehensive course
Discrete Math - 4.1.1 Divisibility
The definition and properties of divisibility with proofs of several properties. Formulas for quotient and remainder, leading into modular arithmetic. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNU
From playlist Discrete Math I (Entire Course)
The Data Science Revolution - Michael Jordan (UC Berkeley)
The Data Science Revolution - Michael Jordan 40 Years of Patterson Symposium. Saturday, May 7, 2016. http://www.eecs.berkeley.edu/XRG/patterson2016/ Presented by the Department of Electrical Engineering and Computer Sciences (EECS) at UC Berkeley http://www.eecs.berkeley.edu/
From playlist Data Science
Known Boundary Emulation of Complex Computer Models: Ian Vernon, Cambridge
Uncertainty quantification (UQ) employs theoretical, numerical and computational tools to characterise uncertainty. It is increasingly becoming a relevant tool to gain a better understanding of physical systems and to make better decisions under uncertainty. Realistic physical systems are
From playlist Effective and efficient gaussian processes
Michele Bolognesi: Mapping classes of trigonal loci
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Giancarlo Travaglini: Pick’s theorem and Riemann sums: a Fourier analytic tale
VIRTUAL LECTURE We show a connection between Fourier series and a celebrated theorem of G. Pick on the number of integer points in an integer polygon. Then we discuss an Euler-Maclaurin formula over polygons. Recording during the meeting "Discrepancy Theory and Applications" Find thi
From playlist Virtual Conference
Turning my own pee into an artificial sweetener
WARNING: Tasting chemicals that you make is almost always a bad idea. Even though I've taken several steps to make it as safe as possible, I'm still doing it at my own risk. ------------------------------------------ For this video, I'll be using the urea that I got in my last video, to m
From playlist Transformations