Combinatorics | Articles containing proofs | Applied probability
In the context of combinatorial mathematics, stars and bars (also called "sticks and stones", "balls and bars", and "dots and dividers") is a graphical aid for deriving certain combinatorial theorems. It was popularized by William Feller in his classic book on probability. It can be used to solve many simple counting problems, such as how many ways there are to put n indistinguishable balls into k distinguishable bins. (Wikipedia).
Star Network - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Stars and Bars: The Number of Integer Solutions to w+x+y+z=25 with Different Lower Bounds
This video explains how to use the stars and bars method of counting to solving a counting problem. mathispower4u.com
From playlist Counting (Discrete Math)
Teach Astronomy - HR Diagram and Stellar Size
From playlist 14. Stars
Star Systems and Types of Galaxies
We've learned a lot about stars! We know how they form, and we know that most of them exist in galaxies. But how are they arranged within galaxies? And are there different types of galaxies or are they all the same? There is a lot to discuss here, so let's expand our understanding of star
From playlist Astronomy/Astrophysics
Teach Astronomy - Stefan-Boltzmann Law
From playlist 14. Stars
Spectroscopy - Splitting the Starlight
How do we know what stars are made of? Starlight contains millions of fingerprints - spectral lines, which are produced by chemical compounds in the form of molecules, atoms, which are present in the atmospheres of stars and planets. The films shows how scientists decode stellar light and
From playlist Most popular videos
Introduction to additive combinatorics lecture 7.9 --- Basic Fourier transform properties
Here I say a bit more about the discrete Fourier transform, including giving direct proofs of the basic properties that are used over and over again in arguments. As an example of how it relates to additive combinatorics, I show that the additive energy of a set can be expressed in a very
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
The Selberg Sieve and Large Sieve (Lecture 1) by Satadal Ganguly
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
The Large Sieve (Lecture 3) by Satadal Ganguly
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Teach Astronomy - Dwarfs and Giants
http://www.teachastronomy.com/ The Stephan-Boltzmann Law allows us to understand the state of stars with the same spectral type as the Sun but with very different luminosities. In this case the scaling reduces to radius going as the square root of luminosity. There are stars the same col
From playlist 14. Stars
Building a star from bits and bytes
How large is the Sun, how hot and how old is it? Much of what we know about stars comes from the models built upon fundamental laws of physics. Building stars in the terrestrial laboratories is impossible, buiding stars in a computer is. But computer models allow us to “see” below the surf
From playlist Most popular videos
S. Hersonsky - Electrical Networks and Stephenson's Conjecture
The Riemann Mapping Theorem asserts that any simply connected planar domain which is not the whole of it, can be mapped by a conformal homeomorphism onto the open unit disk. After normalization, this map is unique and is called the Riemann mapping. In the 90's, Ken Stephenson, motivated by
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
Higher Algebra 9: Symmetric monoidal infinity categories
In this video, we introduce the notion of a symmetric monoidal infinity categories and give some examples. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-mu
From playlist Higher Algebra
Karim Alexander Adiprasito - 3/6 - Lefschetz, Hodge and combinatorics...
Lefschetz, Hodge and combinatorics: an account of a fruitful cross-pollination Almost 40 years ago, Stanley noticed that some of the deep theorems of algebraic geometry have powerful combinatorial applications. Among other things, he used the hard Lefschetz theorem to rederive Dynkin's t
The Green - TAO Theorem (Lecture 5) by Gyan Prakash
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
A tale of two bases - Anne Dranowski
Short Talks by Postdoctoral Members Topic: A tale of two bases Speaker: Anne Dranowski Affiliation: Member, School of Mathematics Date: September 23, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Studying Other Worlds with the Help of a Starshade
This animation shows the prototype starshade, a giant structure designed to block the glare of stars so that future space telescopes can take pictures of planets. More info here: http://planetquest.jpl.nasa.gov/video/15
From playlist Astrophysics
Lecture 7: Hochschild homology in ∞-categories
In this video, we construct Hochschild homology in an arbitrary symmetric-monoidal ∞-category. The most important special case is the ∞-category of spectra, in which we get Topological Hochschild homology. Feel free to post comments and questions at our public forum at https://www.uni-mu
From playlist Topological Cyclic Homology
What are Star Graphs? | Graph Theory
What is a star graph in graph theory? We go over star graphs in today's lesson! Star graphs are special types of trees. Any graph with n vertices, where 1 vertex has degree n - 1 and any other vertex has degree 1, is a star graph. The star graph of order n is isomorphic to the complete bip
From playlist Graph Theory
Ernesto Lupercio: On the moduli space for Quantum Toric Varieties
Talk by Ernesto Lupercio in Global Noncommutative Geometry Seminar (Americas) on November 5, 2021, https://globalncgseminar.org/talks/tba-17/
From playlist Global Noncommutative Geometry Seminar (Americas)