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#topology

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From the article in Nature:

#Microsoft has announced that is has created the first ‘topological qubits’ — a way of storing #quantum information that the firm hopes will underpin a new generation of quantum #computers. Machines based on #topology promise to be easier to build at scale than competing #technologies, because they should better protect the #information from noise. But some researchers are sceptical about the company’s claims.

New account, new introduction!

I'm Beth. I'm a queer mathematician who loves musical theater, webcomics, teaching math, and my cat.

Favorite areas of math: Topology, geometry, and combinatorics.

Favorite musicals: Chess, Into the Woods, Next to Normal, Sunday in the Park With George, Sweeney Todd

Favorite webcomics: this is long enough to get its own post:
https://transfem.social/notes/9ius8efgn12cewcz

#Introduction #Queer #Mathematician #Math #Musicals #MusicalTheater #MusicalTheatre #Webcomics #Teaching #TeachingMath #Cat #Cats #SillyGoose #Topology #Geometry #Combinatorics #Chess #ChessTheMusical #IntoTheWoods #NextToNormal #SundayInTheParkWithGeorge #SweeneyTodd #PandorasTaleWiki #RainverseWiki

TransFem Space@183231bcbThis is a selection of my favorite #WebComics. They are in alphabetical order, NOT order of preference. Alice and the Nightmare https://www.aliceandthenightmare.com/ #AliceAndTheNightmare Castoff https://castoff-comic.com/ https://tapas.io/series/Castoff https://www.webtoons.com/en/challenge/castoff/list?title_no=50984 #Castoff Cosmic Fish https://cosmicfishes.com/ #CosmicFish Dumbing of Age https://www.dumbingofage.com/ #DumbingOfAge Heartless https://heartless-comic.com/ #heartless Heroes of Thantopolis https://www.heroesofthantopolis.com/ #HeroesOfThantopolis Inhibit by @evegwood@mastodon.social https://inhibitcomic.com/ https://tapas.io/series/Inhibit/info https://www.webtoons.com/en/challenge/inhibit/list?title_no=40462 #Inhibit Kiwi Blitz https://www.kiwiblitz.com/ #KiwiBlitz Lefty Cartoons https://leftycartoons.com/ #LeftyCartoons Lies Within https://www.lieswithincomic.com/ #LiesWithin Monster Lands https://monster-lands.com/ #MonsterLands Namesake https://www.namesakecomic.com/ #Namesake Never Heroes https://www.neverheroescomic.com/ #NeverHeroes Never Satisfied https://www.neversatisfiedcomic.com/ #NeverSatisfied Nix of Nothing by @MLeeLunsford@mastodon.social https://www.nixofnothing.com/ #NixOfNothing No End https://noendcomic.com https://tapas.io/series/No-End/info https://www.webtoons.com/en/canvas/no-end/list?title_no=909579 #NoEnd Novae https://www.novaecomic.com/ https://www.webtoons.com/en/challenge/novae/list?title_no=106507 #Novae Pandora's Tale by @comicsbyxan https://pandorastale.com/ https://tapas.io/series/Pandoras-Tale https://www.webtoons.com/en/challenge/pandoras-tale/list?title_no=287377 #PandorasTale Pathways: Chronicles of Tuvana http://pathways.elainetipping.com/ https://tapas.io/series/Pathways-Chronicles-of-Tuvana https://www.webtoons.com/en/challenge/pathways-chronicles-of-tuvana/list?title_no=128848 #PathwaysChroniclesOfTuvana Radio Silence http://www.radiosilencecomic.com/ https://www.webtoons.com/en/challenge/radio-silence/list?title_no=35242 #RadioSilence Rain by @LynnSenpai@retro.pizza https://rain.thecomicseries.com/ #rain Recoil https://recoil.one/ https://www.webtoons.com/en/challenge/recoil/list?title_no=256833 #recoil Saints' Quarter https://saintsquarter.com/ https://tapas.io/series/SaintsQuarter https://www.webtoons.com/en/challenge/saintsquarter/list?title_no=65944 #SaintsQuarter Sister Claire https://www.sisterclaire.com/ #SisterClaire Skyvein https://www.skyveincomic.com/ https://tapas.io/series/skyvein https://www.webtoons.com/en/challenge/skyvein/list?title_no=651351&webtoon-platform-redirect=true #skyvein Sleepless Domain https://www.sleeplessdomain.com/ #SleeplessDomain Slightly Damned https://www.sdamned.com/ #SlightlyDamned Speak of the Devil by @MLeeLunsford@mastodon.social https://www.speakdevil.com/ #SpeakOfTheDevil StarHammer https://www.starhammercomic.com/ #StarHammer Suihira: The City of Water http://suihira.com/ https://tapas.io/series/Suihira https://www.webtoons.com/en/challenge/suihira-the-city-of-water/list?title_no=39385 #suihira Supernormal Step by @MLeeLunsford@mastodon.social https://www.supernormalstep.com/ #SuperNormalStep Tamberlane https://www.tamberlanecomic.com/ https://www.webtoons.com/en/challenge/tamberlane/list?title_no=372674 #tamberlane The End http://www.endcomic.com/ #TheEnd The Order of the Stick https://www.giantitp.com/ #TheOrderOfTheStick The Property of Hate https://jolleycomics.com/TPoH/The_Hook/1 #ThePropertyOfHate The Psions https://tapas.io/series/The-Psions #ThePsions The Roommate From Hell http://enchantedpencil.com/roomie/ https://tapas.io/series/The-Roommate-From-Hell https://www.webtoons.com/en/challenge/the-roommate-from-hell/list?title_no=206046 #TheRoommateFromHell The Sanity Circus https://www.sanitycircus.com/ #TheSanityCircus #SanityCircus This Is Not Fiction https://www.thisisnotfiction.com #ThisIsNotFiction Tigress Queen https://www.tigressqueen.com/ #TigressQueen Widdershins https://widdershinscomic.com/ #widdershins

I just saw the news that FreeCAD 1.0 has been released! They've resolved the most annoying problem, and I think it's an interesting one even if you're not into 3d printing: Certain design operations that change the topology of a 3d model would completely break it :(

This was called the "topo naming problem", because the root cause was (as far as I can tell) an ill-advised internal naming convention for vertices, edges, and faces. Since the naming convention was such a fundamental part of the software, fixing it took a *lot* of hard work. And, like every open source project, it also required resolving human problems between people who had different ideas for how to solve it.

Their 1.0 announcement post is sweet, and includes a nod to some of those difficulties, without airing all the dirty laundry. Worth a read, IMO.

blog.freecad.org/2024/11/19/fr

And, if you *are* into 3d printing but left FreeCAD because it was just too aggravating, maybe consider checking out this new version!

FreeCAD News · FreeCAD Version 1.0 ReleasedAfter more than twenty years of intense and sustained development, the FreeCAD community is proud to announce the release of version 1.0. FreeCAD 1.0 is now available for download on all platforms.…

Interactions and order

Interactions can do many things, but one of the most important effects is causing the system to order. A simple example is a magnet. As I mentioned in the previous post, electrons have a quantum property called “spin”. In a crude, cartoon picture, it means that they can rotate around an axis (say, the “z” axis) clockwise or anticlockwise, which is represented by up and down arrow.
#physics #CondensedMatter #CondMat #science #topology #quantum #QuantumComputing
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I posted a new paper on the arXiv!

arxiv.org/abs/2409.12923

In "Higher-dimensional book-spaces" I show that for each \(n\) there exists an \(n\)-dimensional compact simplicial complex which is a topological modular lattice but cannot be endowed with the structure of topological distributive lattice. This extends a result of Walter Taylor, who did the \(2\)-dimensional case.

I think this kind of result is interesting because we can see that whether spaces continuously model certain equations is a true topological invariant. All of the spaces that I discuss here are contractible, but only some can have a distributive lattice structure.

A similar phenomenon happens with H-spaces. The \(7\)-sphere is an H-space, and it is even a topological Moufang loop, but it cannot be made into a topological group, even though our homotopical tools tell us that it "looks like a topological group".

This is (a cleaned up version of) something I did during my second year of graduate school. It only took me about six years to post it.

arXiv.orgHigher-dimensional book-spacesIn 2017, Walter Taylor showed that there exist $2$-dimensional simplicial complexes which admit the structure of topological modular lattice but not topological distributive lattice. We give a positive answer to his question as to whether $n$-dimensional simplicial complexes with the same property exist. We do this by giving, for each $n\ge2$, an infinite family of compact simplicial complexes which admit the structure of topological modular lattice but not topological distributive lattice.

History of GIS - Video – CGIS, The First Operational GIS, Canada [1967]
--
youtu.be/3VLGvWEuZxI?si=dp64Np <-- shared video
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en.wikipedia.org/wiki/Canada_G <-- Canada GIS wiki page
--
“Early [1967] video description of the first operational GIS, the Canada GIS. The "father of GIS," Roger Tomlinson is highlighted. It is also an excellent description of how GIS operates today although the technology is considerably more advanced than when CGIS was first developed…”
#GIS #spatial #mapping #topology #cartography #spatialanalysis #gischat #appliedscience #solutions #history #canada #RogerTomlinson #CGIS #CanadaGeographicInformationSystem #CanadaLandInventory #canadaday

Topological Relationship-Based Flow Direction Modeling - Stream Burning and Depression Filling
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doi.org/10.1029/2022MS003487 <-- shared paper
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[as follow up to my post sharing their work (fe9h.short.gy/uncFhK) one of the the authors, Chang Liao, stated “Thanks for sharing our earlier work, which described the HexWatershed 1.0. As of right now, HexWatershed 3.0 is fully mesh-independent, supporting both structured (hexagon, square, latlon) and unstructured (MPAS, DGGrid) meshes. see more details here [^^^^]…”]
#GIS #spatial #mapping #model #modeling #Hydrology #topology #stream #streamburning #depression #sinks #filling #flowdirection #routing #network #hydrologicmodels #Susquehanna #River #Basin

Continued thread

Imagine all the #data and related #metadata an organisation manages as a locale. Looking at the whole thing is the starting point to get a better grip on it.

The causal layer of organisational processes is not physical, it is mostly based on agreements. The boundary objects interfacing such processes are informational: data. As such data can be regarded as a dual thing to look at to understand organisations.

The data between all these processes mirror the processes themselves. It is almost Yoneda-like, if you understand all the relationships between processes (as data), there is not much left to know about the processes themselves.

I have a new YouTube channel! You can find the intro video for it at youtu.be/3jmO0IixHZw

Make sure you subscribe to this one if you want to see my future Math Research Livestream videos, or any other video I post in the future.

You can find a video explaining the change on my old channel (youtu.be/PCBvt7vNB8I). The tl;dr is that my old account was tied to my undergrad email, and I want something which is not managed by another organization.

I'll be leaving all the old videos up so that links don't die, and I will also repost them to my new account over the coming weeks.