Digital topology deals with properties and features of two-dimensional (2D) or three-dimensional (3D) digital imagesthat correspond to topological properties (e.g., connectedness) or topological features (e.g., boundaries) of objects. Concepts and results of digital topology are used to specify and justify important (low-level) image analysis algorithms, including algorithms for thinning, border or surface tracing, counting of components or tunnels, or region-filling. (Wikipedia).
Topology (What is a Topology?)
What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b
From playlist Topology
What Is Network Topology? | Types of Network Topology | BUS, RING, STAR, TREE, MESH | Simplilearn
In this video on Network Topology, we will understand What is Network topology, the role of using topology while designing a network, Different types of Topologies in a Network. Network topology provides us with a way to configure the most optimum network design according to our requiremen
From playlist Cyber Security Playlist [2023 Updated]🔥
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
Fundamental concepts of Digital Signatures are discussed. ElGamal and Schnorr Digital Signature schemes are analyzed. Digital signature standard is presented.
From playlist Network Security
Fundamental concepts of Digital Signatures are discussed. ElGamal and Schnorr Digital Signature schemes are analyzed. Digital signature standard is presented.
From playlist Network Security
In this video, I cover the notion of continuity, as used in topology. The beautiful thing is that this doesn't use epsilon-delta at all, and instead just something purely geometric. Enjoy this topology-adventure! Topology Playlist: https://youtube.com/playlist?list=PLJb1qAQIrmmA13vj9xkHGG
From playlist Topology
An intro to the core protocols of the Internet, including IPv4, TCP, UDP, and HTTP. Part of a larger series teaching programming. See codeschool.org
From playlist The Internet
In this video, I discuss the notion of sequential compactness, which is an important concept used in topology and analogy. I also explain the similarities and differences between sequential compactness and covering compactness. Compactness: https://youtu.be/xiWizwjpt8o Bolzano-Weierstrass
From playlist Topology
Classical and Digital Topological Groups
A research talk presented at the Fairfield University Mathematics Research Seminar, October 6, 2022. Should be accessible to a general mathematics audience, combining ideas from topology, graph theory, and abstract algebra. The paper is by me and Dae Woong Lee, available here: https://arx
From playlist Research & conference talks
Fixed points in digital topology
A talk given by Chris Staecker at King Mongkut's University of Technology Thonburi, Bangkok, Thailand, on October 11 2019. This is the second in a series of 3 talks given at KMUTT. Includes an introduction to graph-theoretical ("Rosenfeld style") digital topology, and some basic results a
From playlist Research & conference talks
Some digital topology and a Borsuk-Ulam Theorem
A talk about digital topology and a digital Borsuk-Ulam Theorem. I gave the talk in July 2015 at the Fairfield University Math REU program colloquium. The talk should be accessible to math undergraduates and enthusiasts, even better if you have some basic topology background. Link to my
From playlist Research & conference talks
Four theorems about the Euler characteristic and some space invaders
A talk about Euler characteristics and digital topology meant for a general quantitatively literate audience- hopefully understandable to anybody who can handle basic mathematical ideas. I gave this talk at the weekly colloquium for the Fairfield University summer research groups, includin
From playlist Research & conference talks
12 CPUs + 1.2GB ML + 3bn words + Algebraic Topology = Tech Insights (SparkNLP w/ UMAP)
No CUDA cores but 12 CPU cores and you want to experience the power of your personal AI on your PC? Here is the code you need. 12 CPU threads at 98%, the latest code in algebraic topology, 1.24 GB of pre-trained pattern recognition from 3.3 B words, applied to Accenture's TechVision 2021
From playlist Create insights into complex topics with AI
Xie Chen - CS+Physics - Alumni College 2016
"Topological Quantum Computation" Xie Chen, Assistant Professor of Theoretical Physics, is a condensed-matter theorist who examines quantum-mechanical systems with a large number of degrees of freedom. She is interested in learning how the constituent degrees of freedom cooperate with one
From playlist Talks and Seminars
Towards a Nielsen theory in digital topology
A talk given by Chris Staecker at King Mongkut's University of Technology Thonburi, Bangkok, Thailand, on October 14 2019. This is the third in a series of 3 talks given at KMUTT. This talk presents some preliminary ideas that I hope will develop into a real Nielsen fixed point theory for
From playlist Research & conference talks
Manfred Madritsch: Normal and Non-Normal Numbers
CIRM HYBRID EVENT Recorded during the meeting "​ Diophantine Problems, Determinism and Randomness" the February 04, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathem
From playlist Probability and Statistics
Kathryn Hess (10/9/19): How to grow synthetic digital neurons
Title: How to grow synthetic digital neurons Abstract: The generation of digital morphologies that reproduce the anatomical and electrical characteristics of biological neurons is a vital step towards the reconstruction and simulation of physiologically realistic brain networks, as neuro
From playlist AATRN 2019
8ECM Public Lecture: Kathryn Hess
From playlist 8ECM Public Lectures