Algebraic combinatorics

Eulerian poset

In combinatorial mathematics, an Eulerian poset is a graded poset in which every nontrivial interval has the same number of elements of even rank as of odd rank. An Eulerian poset which is a lattice is an Eulerian lattice. These objects are named after Leonhard Euler. Eulerian lattices generalize face lattices of convex polytopes and much recent research has been devoted to extending known results from polyhedral combinatorics, such as various restrictions on f-vectors of convex simplicial polytopes, to this more general setting. (Wikipedia).

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C39 A Cauchy Euler equation that is nonhomogeneous

A look at what to do with a Cauchy Euler equation that is non-homogeneous.

From playlist Differential Equations

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Euler’s method - How to use it?

► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,

From playlist Differential Equations

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Eulerian Path - 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

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Toric Arrangements - Margaret Readdy

Margaret Readdy University of Kentucky; Member, School of Mathematics October 26, 2010 The cd-index is a noncommutative polynomial which compactly encodes the flag vector data of a polytope, and more generally, of a regular cell complex. Ehrenborg and Readdy discovered the cd-index has an

From playlist Mathematics

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C35 The Cauchy Euler Equation

I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.

From playlist Differential Equations

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Mandelbrot fractal zoom // featuring Euler bio

Mandelbrot fractal zoom // featuring Euler bio Come hang out and watch a fractal zoom through the Mandelbrot set. To celebrate Euler's contributions to mathematics, this video features a brief bio. of Leonhard Euler! ---------------------------------------------------------------------

From playlist Misc.

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C44 Example problem solving a Cauchy Euler equation

Getting more example problems done! Solving Cauchy-Euler equations is easy and fun.

From playlist Differential Equations

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C36 Example problem solving a Cauchy Euler equation

An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.

From playlist Differential Equations

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Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 3 Linear Algebra: Linear Transformations

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Ulysses Alvarez - The Up Topology on the Grassmann Poset

38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Ulysses Alvarez, Binghamton University Title: The Up Topology on the Grassmann Poset Abstract: For a discrete poset X, McCord proved that there exists a weak homotopy equivalence from the order complex |X| to where X has

From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

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Kolja Knauer : Posets, polynômes, et polytopes - Partie 1

Résumé : Les posets (ensembles partiellement ordonnés) sont des structures utiles pour la modélisation de divers problèmes (scheduling, sous-groupes d'un groupe), mais ils sont aussi la base d'une théorie combinatoire très riche. Nous discuterons des paramètres de posets comme la largeur,

From playlist Combinatorics

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C43 Example problem solving a Cauchy Euler equation

Another Cauchy-Euler equation example problem solved.

From playlist Differential Equations

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Fedor Petrov: "Inequalities for posets"

Asymptotic Algebraic Combinatorics 2020 "Inequalities for posets" Fedor Petrov - Steklov Institute of Mathematics at St. Petersburg Abstract: We discuss several recent inequalities between combinatorial characteristics of posets: hooks and antihooks, chains and antichains, number of line

From playlist Asymptotic Algebraic Combinatorics 2020

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Lec 11 | MIT 6.042J Mathematics for Computer Science, Fall 2010

Lecture 11: Relations, Partial Orders, and Scheduling Instructor: Marten van Dijk View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.042J Mathematics for Computer Science, Fall 2010

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Eulerian Circuits and Eulerian Graphs | Graph Theory, Euler Graphs and Euler Circuits

What are Eulerian graphs and Eulerian circuits? Euler graphs and Euler circuits go hand in hand, and are very interesting. We’ll be defining Euler circuits first in today’s lesson, as well as showing an example of why these circuits might be interesting to begin with, then we go into Euler

From playlist Graph Theory

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The Chinese Postman Problem (Introduction to Graph Theory)

This video covers Eulerian, Semi-Eulerian, and regular graphs in the Chinese Postman Problem as well as applications of graph theory. This was made for 3Blue1Brown's Summer of Math Exploration video competition (link: https://www.3blue1brown.com/blog/some1). For more information about Eu

From playlist Summer of Math Exposition Youtube Videos

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Partial orders, maxels and Mobius functions | MathFoundations272 | N J Wildberger

This more advanced lecture connects the Boole-Mobius transform between Boolean functions and Boole polynumbers, which is a key tool in understanding circuit analysis from the point of view of the Algebra of Boole. We include a brief discussion of Mobius functions on partially ordered sets

From playlist Boole's Logic and Circuit Analysis

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Solving Laplacian Systems of Directed Graphs - John Peebles

Computer Science/Discrete Mathematics Seminar II Topic: Solving Laplacian Systems of Directed Graphs Speaker: John Peebles Affiliation: Member, School of Mathematics Date: March 02, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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Eulerian Path - 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

Related pages

Star product | Partially ordered set | Bruhat order | H-vector | Lattice (order) | Simplicial polytope | Combinatorics | Euler characteristic | Polyhedral combinatorics | Abstract polytope | Convex polytope | Coxeter group | Incidence algebra | Simplicial sphere | N-sphere | Manifold | Ranked poset | Graded poset | Dehn–Sommerville equations | Leonhard Euler