In mathematics, the Puppe sequence is a construction of homotopy theory, so named after Dieter Puppe. It comes in two forms: a long exact sequence, built from the mapping fibre (a fibration), and a long coexact sequence, built from the mapping cone (which is a cofibration). Intuitively, the Puppe sequence allows us to think of homology theory as a functor that takes spaces to long-exact sequences of groups. It is also useful as a tool to build long exact sequences of relative homotopy groups. (Wikipedia).
Differentiable manifolds and quadratic forms (revisited) Professor Matthias Kreck (Bonn University)
This is the title of a lovely book by two of my mathematical heroes: Friedrich Hirzebruch and Walter Neumann. I will add a little chapter to it by building a bridge from -manifolds to unimodular lattices in R^n via self dual binary codes. This is based on older work with Volker Puppe and m
Gregory Henselman-Petrusek (9/28/22): Saecular persistence
Homology with field coefficients has become a mainstay of modern TDA, thanks in part to structure theorems which decompose the corresponding persistence modules. This naturally begs the question -- what of integer coefficients? Or homotopy? We introduce saecular persistence, a categoric
From playlist AATRN 2022
DEFCON 19: Dust: Your Feed RSS Belongs To You! Avoid Censorship!
Speakers: Chema Alonso | Juan Garrido "Silverhack" Law around the world is trying to control what is published on the Internet. After wikileaks case and HBGary ownage everybody could see how there are many controls that can be used to close a website, a domain name and to cut the communic
From playlist DEFCON 19
Introduction to Sequences (Discrete Math)
This video introduces sequences for a discrete math class. mathispower4u.com
From playlist Sequences (Discrete Math)
What is subscript notation and how does it relate to functions
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
This video introduces sequences. http://mathispower4u.yolasite.com/
From playlist Infinite Series
What is the definition of a geometric sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
We define the idea of a sequence, and infinite ordered list of objects and see some examples of how they are defined. Sequences can be defined with an explicit formula or simply list the elements of the sequence until the pattern is clear. â–ºFull DISCRETE MATH Course Playlist: https://www
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
The formal definition of a sequence.
We have an intuitive picture of sequences (infinite ordered lists). But there is a formal definition of sequences based out of the idea of a specific function between sets, specifically from the positive integers to the real numbers. â–ºFull DISCRETE MATH Course Playlist: https://www.youtu
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Powered by https://www.numerise.com/ C1 Sequences & Series (1)
From playlist Core 1 - Sequences and Series
What is the definition of an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Intro to Sequences | Calculus, Real Analysis
We introduce sequences, consider them as functions, and go over some sequence notation as well as other concepts and terminology in today's lesson video lesson on sequences! A sequence is a list of numbers in some definite order. Each number in a sequence is called a term of the sequence.
From playlist Real Analysis
Sequences, On-Sequences and Clips | Algebraic Calculus One | Wild Egg
What exactly is a sequence? In this video we introduce a precise understanding of this important concept, and then also venture towards "on-going" or "boundless" or "infinite" sequences. We also introduce the idea of a "clip" of a sequence, which is a partial representation of a sequence
From playlist Algebraic Calculus One from Wild Egg
Big O notation is simpler than you might think
Big O notation is a very popular topic, in contexts such as algorithms and P vs NP. In this video, I attempt to explain big O notation using only basic arithmetic, so that these other topics can be enjoyed by everyone! Timestamps: Intro: 00:00 Eventuality: 00:28 Deltas: 03:54 Stolz-Ces
From playlist Summer of Math Exposition Youtube Videos
Live CEOing Ep 316: Biomolecules in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Biomolecules in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Worldwide Calculus: Theorems on Sequences
Lecture on 'Theorems on Sequences' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Single-Variable Calculus for AP®
Michael Drmota: (Logarithmic) densities for automatic sequences along primes and squares
CIRM VIRTUAL CONFERENCE Recorded during the meeting "​ Diophantine Problems, Determinism and Randomness" the November 23, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Which Sequences are Graphical? (Degree Sequences and Havel-Hakimi algorithm) | Graph Theory
How do we determine if a sequence is graphical? Remember that a sequence is graphical if it is the degree sequence of some graph. It is of course very easy, given a graph, to find its degree sequence. We just identify the degrees of its vertices then write those degrees in non-increasing o
From playlist Graph Theory