Independence results | Trees (set theory)
In set theory, an Aronszajn tree is a tree of uncountable height with no uncountable branches and no uncountable levels. For example, every Suslin tree is an Aronszajn tree. More generally, for a cardinal κ, a κ-Aronszajn tree is a tree of height κ in which all levels have size less than κ and all branches have height less than κ (so Aronszajn trees are the same as -Aronszajn trees). They are named for Nachman Aronszajn, who constructed an Aronszajn tree in 1934; his construction was described by . A cardinal κ for which no κ-Aronszajn trees exist is said to have the tree property(sometimes the condition that κ is regular and uncountable is included). (Wikipedia).
Assaf Rinot : Distributive Aronszajn trees
Abstract: It is well-known that the statement "all ℵ1-Aronszajn trees are special'' is consistent with ZFC (Baumgartner, Malitz, and Reinhardt), and even with ZFC+GCH (Jensen). In contrast, Ben-David and Shelah proved that, assuming GCH, for every singular cardinal λ: if there exists a λ+-
From playlist Logic and Foundations
The Science of Christmas Trees
A tree expert talks a little about Christmas trees for sale at his corner shop. More science at http://www.test-tube.org.uk/ This has been entered for consideration in the contest at www.chlorofilms.org
From playlist Christmas Selection - Sixty Symbols
We look at the oak tree, and why our ecologist says it should lead to a new national holiday in the England. More at http://www.test-tube.org.uk/trees/
From playlist Guide to Trees & Plants
Mirna Džamonja: Universal א2-Aronszajn trees
Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 14, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Au
From playlist Logic and Foundations
Markus is back with another tree - this time it is the chestnut. All our tree videos at www.test-tube.org.uk/trees/ Presented by Dr Markus Eichhorn from the University of Nottingham Films by Brady Haran
From playlist Guide to Trees & Plants
The Beech is the latest addition to our collection of videos about trees, presented by ecologist Dr Markus Eichhorn. See them all at http://www.test-tube.org.uk/trees/
From playlist Guide to Trees & Plants
Tree Graphs - 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
Thanks for watching this video and thanks to all of our Patreon supporters who make MinuteEarth possible. If you'd like to support us as well, you can go to https://www.patreon.com/MinuteEarth. We really appreciate it. Thanks also to our Patreon patrons: - Vidhya Krishnaraj - Today I Fo
From playlist This Is Not A Playlist
Buy the chart: https://usefulcharts.com/collections/royal-family-trees/products/copy-of-european-royal-family-tree-west This video covers the royal genealogy of Belgium. CREDITS: Chart: Matt Baker https://usefulcharts.com Script/Narration: @JackRackam Intro animation: @AlMuqaddimahY
From playlist Royal Family Trees
This shows a 3d printed mobile produced using shapeways.com. This is joint work with Marco Mahler. This is available at http://shpws.me/nPh7.
From playlist 3D printing
Buy the European Royal Family Tree chart: https://usefulcharts.com/products/european-royal-family-tree Buy the Matrilineal Dynasties of Europe chart: https://usefulcharts.com/collections/royal-family-trees/products/matrilineal-dynasties-of-europe CREDITS: Charts & Narration by Matt Baker
From playlist Royal Family Trees
Tree Representation for XML, JSON and Symbolic Expressions: Live with the R&D team
Presentation begins at 0:53 In this stream, we have a Tree Representation for XML, JSON and Symbolic Expressions with Wolfram R&D. Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch/ Facebook: https://www.facebook.com/wolframresearch/ Ins
From playlist Live with the R&D Team
Trees are fundamental data structures in mathematics and science, with standard examples including XML trees, file systems and Wolfram Language expressions. We present symbolic Tree objects, added in Version 12.3 of the Wolfram Language, which are used to represent rooted, ordered, labeled
From playlist Wolfram Technology Conference 2021
Game Programming Patterns 8.2 - (JavaScript) Prototype pattern
We implement the prototype pattern in JavaScript to create trees in the infinite runner! Links code - [https://github.com/brooks-builds/learning_game_design_patterns](https://github.com/brooks-builds/learning_game_design_patterns) twitter - [https://twitter.com/brooks_patton](http
From playlist Game Programming Patterns Book
Game Programming Patterns part 8.3 - (Rust) Prototype Pattern
We implement the prototype pattern in the Rust infinite runner to create trees. Links code - [https://github.com/brooks-builds/learning_game_design_patterns](https://github.com/brooks-builds/learning_game_design_patterns) twitter - [https://twitter.com/brooks_patton](https://twitt
From playlist Game Programming Patterns Book
Live CEOing Ep 548: Language Design in Wolfram Language [ExpressionTree & Expressions vs Trees]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Live CEOing Ep 428: Language Design in Wolfram Language [Trees]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and functionality to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wo
From playlist Behind the Scenes in Real-Life Software Design
New in Tree Data & Computation
Tree is a new fundamental construct in the Wolfram Language added in Version 12.3 used to represent rooted, ordered, labeled trees. In this talk, we will present a variety of new features added in Version 13.1, including support for associations between keys and children, new ways of const
From playlist Wolfram Technology Conference 2022
Is Everyone a Descendant of Royalty?
Buy the European Royal Family Tree Poster: https://usefulcharts.com/products/european-royal-family-tree Sources: http://www.stat.yale.edu/~jtc5/papers/Ancestors.pdf http://www.stat.yale.edu/~jtc5/papers/CommonAncestors/NatureCommonAncestors-Article.pdf https://journals.plos.org/plosbio
From playlist Royal Family Trees
Reconstructing phylogenetic networks from trees by Simone Linz
CMSA Combinatorics Seminar, 27 October 2020
From playlist CMSA Combinatorics Seminar