In the mathematical field of knot theory, a split link is a link that has a (topological) 2-sphere in its complement separating one or more link components from the others. A split link is said to be splittable, and a link that is not split is called a non-split link or not splittable. Whether a link is split or non-split corresponds to whether the link complement is reducible or irreducible as a 3-manifold. A link with an alternating diagram, i.e. an alternating link, will be non-split if and only if this diagram is connected. This is a result of the work of William Menasco. A split link has many connected, non-alternating link diagrams. (Wikipedia).
A brief introduction to partitions and combinatorics. This video is part of the #MegaFavNumbers project. More videos can be found here: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
From playlist MegaFavNumbers
What are Connected Graphs? | Graph Theory
What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr
From playlist Graph Theory
Hierarchical Clustering 3: single-link vs. complete-link
[http://bit.ly/s-link] Agglomerative clustering needs a mechanism for measuring the distance between two clusters, and we have many different ways of measuring such a distance. We explain the similarities and differences between single-link, complete-link, average-link, centroid method and
From playlist Hierarchical Clustering
In this video, I define connectedness, which is a very important concept in topology and math in general. Essentially, it means that your space only consists of one piece, whereas disconnected spaces have two or more pieces. I also define the related notion of path-connectedness. Topology
From playlist Topology
Directory Links and Subdir Count
More videos like this online at http://www.theurbanpenguin.com We can use the link count in a long listing of a directory to easily understand how many sub-directories exist for a given directory. Each directory has two links, the directory name itself and the name . meaning this directory
From playlist Linux
From playlist STAT 503
In this video, you’ll learn about how links function in HTML. We hope you enjoy! To learn more, check out our Basic HTML tutorial here: https://edu.gcfglobal.org/en/basic-html/ #html #links #coding
From playlist HTML
A tweet by @ChocoLinkage (https://twitter.com/ChocoLinkage/status/1174513390514921473) showed a teardrop shape being drawn by a mechanical linkage. I've tried to recreate it in Lego. Only one half works because it is difficult to avoid parts having to pass through each other.
From playlist Geometry
Rico Zenklusen: Approximation algorithms for hard augmentation problems, lecture II
Augmentation Problems are a fundamental class of Network Design Problems. In short, the goal is to find a cheapest way to increase the (edge-)connectivity of a graph by adding edges from a given set of options. The Minimum Spanning Tree Problem is one of its most elementary examples, which
From playlist Summer School on modern directions in discrete optimization
Rico Zenklusen, Vera Traub: Bridging the Gap Between Tree and Connectivity Augmentation
Full title: Bridging the Gap Between Tree and Connectivity Augmentation: Unified and Stronger Approaches The Connectivity Augmentation Problem (CAP) is one of the most basic survivable network design problems. The task is to increase the edge-connectivity of a graph G by one unit by adding
From playlist Workshop: Continuous approaches to discrete optimization
NP-hard problems naturally arising in knot theory - Anastasiia Tsvietkova
Members’ Seminar Topic: NP-hard problems naturally arising in knot theory Speaker: Anastasiia Tsvietkova Affiliation: Rutgers University Date: December 7, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
CS224W: Machine Learning with Graphs | 2021 | Lecture 8.3 - Setting up GNN Prediction Tasks
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3CmB254 Jure Leskovec Computer Science, PhD To conclude our discussion on design choices when creating a GNN training pipeline, we address the question, how do we
From playlist Stanford CS224W: Machine Learning with Graphs
Joel Hass - Lecture 3 - Algorithms and complexity in the theory of knots and manifolds - 20/06/18
School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Joel Hass (University of California at Davis, USA) Algorithms and complexity in the theory of knots and manifolds Abstract: These lectures will introduce algorithmic pro
From playlist Joel Hass - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects
Want a career that helps solve the world's biggest problems? Then head over to https://80000hours.org/parth Over the years, many scientists have been confident that physics is almost complete, and that humanity was just a small number of discoveries away from understanding everything in t
From playlist Quantum Physics by Parth G
How to Use Splits in Vim and NeoVim - How to Create a Basic Neovim Config Part 4
In this vid, part 4 of our custom #Neovim config series, we talk about splits and how to use them, how to make them better and why you should use them. Our nvim Config file so far -- https://github.com/mtwb47/CustomNVIM Written tut https://thoughtbot.com/blog/vim-splits-move-faster-and-
From playlist Linux Tutorials
A refined upper bound for the volume...Jones polynomial - Anastasiia Tsvietkova
Anastasiia Tsvietkova, UC Davis October 8, 2015 http://www.math.ias.edu/wgso3m/agenda 2015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016
From playlist Workshop on Geometric Structures on 3-Manifolds
Conditional Average Treatment Effects: Trees
Professor Susan Athey discusses the use of causal trees in conditional average treatment effects.
From playlist Machine Learning & Causal Inference: A Short Course
How to Split Cells & Text in Excel with Power Query
Sign up for our Excel webinar, times added weekly: https://www.excelcampus.com/blueprint-registration/ In this video, I demonstrate how to split cells in Excel, such as first and last names, that are combined in one column, into their own respective columns. We can spit into multiple colum
From playlist Power Query
In this video I show you how to split your data file so that analysis is done for each section. It is common to split a file along the unique values found in a categorical variable.
From playlist Healthcare statistics with SPSS