In mathematics, a locally finite poset is a partially ordered set P such that for all x, y ∈ P, the interval [x, y] consists of finitely many elements. Given a locally finite poset P we can define its incidence algebra. Elements of the incidence algebra are functions ƒ that assign to each interval [x, y] of P a real number ƒ(x, y). These functions form an associative algebra with a product defined by There is also a definition of incidence coalgebra. In theoretical physics a locally finite poset is also called a causal set and has been used as a model for spacetime. (Wikipedia).
Infinite Partial Sumsets in the Primes - Terence Tao
Special Year Research Seminar Infinite Partial Sumsets in the Primes Terence Tao University of California, Los Angeles; Member, School of Mathematics Date: February 7, 2023 It is an open question as to whether the prime numbers contain the sum A+B of two infinite sets of natural numbers
From playlist Mathematics
Finite Sets and Infinite Sets | Don't Memorise
What are Finite and Infinite Sets? ✅To learn more about Sets, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=BydchiZ8t6o&utm_term=%7Bkeyword%7D "In this video, we will learn: 0:00 types of sets 0:04
From playlist Middle School Math - Sets
Limit of vector function: an example
Free ebook http://tinyurl.com/EngMathYT Simple example on limits of vector functions and how to calculate them.
From playlist Engineering Mathematics
Joe Neeman: Gaussian isoperimetry and related topics II
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
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
Fundamentals of Mathematics - Lecture 33: Dedekind's Definition of Infinite Sets are FInite Sets
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
Horizontal Asymptote, Vertical Asymptote, & Removable Discontinuity
How to find the Horizontal asymptote, vertical asymptote and removable discontinuity from a rational function. #calculus For more similar examples, check out my playlist :https://www.youtube.com/playlist?list=PLb2SZv7eAqpmFSRhJAtPYis3RT2TtCWbl Horizontal Asymptote, @0:10 Vertical Asymptot
From playlist Limits at Infinities, (sect 2.6)
On Finite Types That Are Not h-Sets - Sergey Melikhov
Sergey Melikhov Steklov Mathematical Institute; Member, School of Mathematics February 14, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Sylvie PAYCHA - From Complementations on Lattices to Locality
A complementation proves useful to separate divergent terms from convergent terms. Hence the relevance of complementation in the context of renormalisation. The very notion of separation is furthermore related to that of locality. We extend the correspondence between Euclidean structures o
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Steve Oudot (9/8/21): Signed barcodes for multi-parameter persistence via rank decompositions
In this talk I will introduce the signed barcode, a new visual representation of the global structure of the rank invariant of a multi-parameter persistence module or, more generally, of a poset representation. Like its unsigned counterpart in one-parameter persistence, the signed barcode
From playlist AATRN 2021
David Meyer (1/30/18): Some algebraic stability theorems for generalized persistence modules
From an algebraic point of view, generalized persistence modules can be interpreted as finitely-generated modules for a poset algebra. We prove an algebraic analogue of the isometry theorem of Bauer and Lesnick for a large class of posets. This theorem shows that for such posets, the int
From playlist AATRN 2018
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
Martina Lanini: Totally nonnegative Grassmannians, Grassmann necklaces and quiver Grassmannians
30 September 2021 Abstract: Totally nonnegative (tnn) Grassmannians are subvarieties of (real) Grassmannians which have been widely investigated thanks to the several applications in mathematics and physics. In a seminal paper on the subject, Postnikov constructed a cellularisation of the
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
Upper and Lower Bound In this video, I define what it means for a set to be bounded above and bounded below. This will be useful in our definition of inf and sup. Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh
From playlist Real Numbers
algebraic geometry 14 Dimension
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the dimension of a topological space, algebraic set, or ring.
From playlist Algebraic geometry I: Varieties
Kolja Knauer : Posets, polynômes, et polytopes - Partie 2
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
Singular Hodge Theory for Combinatorial Geometries by Jacob Matherne
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Infinite Limits (Limit Example 10)
Epsilon Definition of a Limit In this video, I illustrate the epsilon-N definition of a limit by doing an example with an infinite limit. More precisely, I prove from scratch that the limit of sqrt(n-2)+3 is infinity Other examples of limits can be seen in the playlist below. Check ou
From playlist Sequences