US law enforcement documents: the DHS, FBI, and other agencies introduce a novel domestic threat category termed "anti-tech violent extremism" amid the AI boom (Daniel Boguslaw/Wired)
https://www.wired.com/story/us-law-enforcement-warns-of-anti-tech-ext…
The Pentagon updated its official war casualty database over the weekend, adding more than 140 wounded service members.
The Defense Casualty Analysis System (DCAS) also introduced a new casualty category labeled “Overseas Operations” for personnel killed and wounded “starting July 7”.
According to the updated database, the official toll for the earlier phase of the US-Iran war, known as Operation Epic Fury,
now stands at 14 service members killed and more than 400 wounded …
Functional programming isn't just for Haskell developers. It's for #PHP developers, too. "Thinking Functionally in PHP" is available from LeanPub.
https://leanpub.com/thinking-functiona
Now that I am (mostly) healed I need to dive back into printmaking. You know, I used to be envious of artists who created photorealistic images (as opposed to my simple stuff) but hey, no one will accuse me of using AI for these prints! 😆
http://photos.rasterweb.net/index.php?/category/3…
Um livro em que participo como autor e um livro que traduzi foram usados para treinar IA sem a minha autorização.
Podia ser pior, muito pior. Mas desconfio que isto é um "pelo menos", não uma lista exaustiva.
https://www.theatlantic.com/category/ai-watchdog…
Sources: Apple may have delayed AI glasses launch partly over privacy concerns that Meta's glasses created for the category, as it works to address the issues (Mark Gurman/Bloomberg)
The Pentagon updated its official war casualty database over the weekend,
adding more than 140 wounded service members.
The Defense Casualty Analysis System (DCAS) also introduced a new casualty category labeled
“Overseas Operations” for personnel killed and wounded “starting July 7”.
According to the updated database, the official toll for the earlier phase of the US-Iran war, known as Operation Epic Fury,
now stands at 14 service members killed and more than 4…
"…Larry Krasner, District Attorney of Philadelphia. 'A federal badge is not a license to violate the Constitution, and it is not a shield from state criminal law. We have prosecuted police officers who broke the law. We have prosecuted public officials who broke the law. We will prosecute ICE agents who break the law. There is no category of American who gets to operate above it.'"
[2026-07-24 Fri (UTC), no new articles found for math.CT Category Theory]
toXiv_bot_toot
Congratulations @… for inaugural Wikimedian of the Year in the Connector category!
#wikimania #wikimedia #wikipedia
This top scorer at the world cup statistic is bollocks. Look how many games it took them to be at the top.
Just Fontaine did 13 goals in *one* world cup. He’s the true GOAT in that category! There’s no competition here.
https://en.wikipedia.org/wiki/List_of_FIFA_Wo…
PV Magazine zeroes in on one of the key insights from our new @… miniseries on South Africa (which you can find right here: https://xenetwork.org/ets/category/sou
What happens when your body stops cooperating?
We shifted from judging bodies by looks to celebrating what they can do. But that still leaves out a lot of people.
Disability is not a separate category. It is everyone's future if we live long enough.
I wrote about treating my body like a partner I cannot divorce.
What does your relationship with your body actually look like?
Crossmodal correspondences influence adaptation during rule-based category learning of objects https://psycnet.apa.org/fulltext/2027-83948-001.html Keep in mind that vision is about more than object categories: e.g. visual textures, shading, parallax and visual perspective often ma…
Security Vulnerability Patterns in AI-Generated Code: A Cross-Model Comparative Study
Shanna M. Kahn, John D. Hastings
https://arxiv.org/abs/2607.20713 https://arxiv.org/pdf/2607.20713 https://arxiv.org/html/2607.20713
arXiv:2607.20713v1 Announce Type: new
Abstract: LLM-based coding tools enable non-expert users to generate routine automation scripts that may enter enterprise workflows without meaningful security review. This study examines that risk directly. Code was collected from ChatGPT, Microsoft Copilot, and Google Gemini using identical prompts across three automation domains. Claude Code performed a standardized vulnerability review. Each identified vulnerability was scored using CVSS v3.1 and mapped to the OWASP Top 10:2021 and the MITRE ATT&CK frameworks. Every script contained exploitable vulnerabilities. Nine of the 17 identified vulnerability classes appeared in code from all three models, while 14 of the 17 vulnerability classes appeared in at least two models. The weighted CVSS scores across platforms differed by less than 10%. The risk is not tied to any particular model but rather to the task category. Organizations should therefore ask not which tool to trust, but instead whether LLM-generated automation code should be deployed without review.
toXiv_bot_toot
We are watching the birth of a new category of medicine:
proactive, multi-cancer, blood-based screening
that could make comprehensive cancer detection as routine as a cholesterol panel.
An entire industry is emerging around multi-cancer early detection.
Exact Sciences’ Cancerguard launched as a laboratory-developed test in September 2025.
Abbott is acquiring Exact Sciences for $21 billion
— a signal of how seriously the pharmaceutical industry takes this c…
Let's isolate Asians in their own external category so they don't steal our prizes!!
[2026-07-23 Thu (UTC), 3 new articles found for math.CT Category Theory]
toXiv_bot_toot
Finally reduced my endless backlog by uploading a bunch of photos to #WikimediaCommons. These are photos I took in #Heidelberg and #Wilhelmsfeld,
Shopware 6 Hidden Gems #2: Bulk imports done right — taming the indexers
Every Shopware developer has been here: you push 50,000 products through the Sync API and the import crawls. The writes themselves are fast. What kills you is everything that happens after each write — inheritance updates, cheapest price calculation, search keyword generation, category denormalization. Shopware calls all of this "indexing", and by default it runs synchronously, per request,…
arxiv_collab: Scientific collaborations in physics (1995-2005)
Collaboration graphs for scientists, extracted from the Los Alamos e-Print arXiv (physics), for 1995-1999 for three categories, and additionally for 1995-2003 and 1995-2005 for one category. For copyright reasons, the MEDLINE (biomedical research) and NCSTRL (computer science) collaboration graphs from this paper are not publicly available.
This network has 16706 nodes and 121251 edges.
Tags: Social, Collaborati…
I used a Powershell script to put all of the 65000 Amazon Prime day specials from an Excel spreadsheet into a single web page organized by category. https://bookofadamz.com/all-of-the-2026-amazon-prime-deals-in-one-big-list/
Designed-Source Reductions and a Dual-Purpose Feasibility Band for Semantic Rate-Distortion
Joss Armstrong
https://arxiv.org/abs/2606.11280 https://arxiv.org/pdf/2606.11280 https://arxiv.org/html/2606.11280
arXiv:2606.11280v1 Announce Type: new
Abstract: The joint rate-distortion framework of Stavrou and Kountouris (IEEE Transactions on Communications 2023) characterises dual-fidelity tradeoffs for semantic communication on stochastic semantic sources. Many task-oriented communication systems instead use designed sources, where the semantic object is a deterministic oracle allocation $\phi^(t)$ rather than a stochastic quantity given by nature. We isolate the subclass of designed sources under smooth concave utility with assumptions A1, A2 and Euclidean allocation codomain, and restrict the encoder class to deterministic common-category mappings. Within this subclass the SK exponential-tilting decoder and generalised Blahut--Arimoto iteration specialise to conditional-mean decoding and Lloyd--Max stationarity on $\phi^(t)$. When the second fidelity is a monotone single-letter distortion, the joint problem stays inside the SK admissible class; the common-category SK rate is lower-bounded by the max of the corresponding Shannon rate-distortion functions, with equality only when the common-category reconstruction is compatible and RDF-optimal. When the second fidelity is aggregate verification, the joint problem leaves the SK single-letter class and admits a constrained-design feasibility band $R_{\min}(\varepsilon^) \leq R \leq R_{\max}(\beta^)$ of width $\log_2(K_{\max}/K_{\min})$ bits in partition cardinality. The reduction and the band are scope statements on the SK apparatus, not modifications to it. A smart-grid economic-dispatch example with a non-technical-loss-detection contrast illustrates the band.
toXiv_bot_toot
The Hochschild Homology of Reedy Categories
Alexandra Ballow
https://arxiv.org/abs/2606.04297 https://arxiv.org/pdf/2606.04297 https://arxiv.org/html/2606.04297
arXiv:2606.04297v1 Announce Type: new
Abstract: We calculate the Hochschild homology of generalized Reedy categories, such as the simplex category, the category of finite sets, the category of finite-dimensional categories, and the PROP associated to an operad.
toXiv_bot_toot
⏰ Nicht verpassen: Kommende Woche stehen die nächsten zwei unserer kooperativen Helpdesk-Termine an. Ihr habt Fragen? Wir freuen uns auf Euch!
💠 5. FDM-Sprechstunde Humanities@NFDI
🤝 @…, @…, @…
Collections remind me of the circles of Google . People were gaming those to try to amass followers, and it led to less variation in the feed, as most were following the same people.
For the sake of diversity in my feed, I will stay away from collections.
In Google , the ability to set my own category for my posts, and for people to follow by categories, really worked well. Some would follow my pet pictures, others my coding posts, or my humorous posts.
It focused sharing…
[2026-07-22 Wed (UTC), no new articles found for math.CT Category Theory]
toXiv_bot_toot
Core Urbanism: "Committee for Sydney" is proposing a greenways network across the city, in the "nice things" category because it's away from cars and amongst the fields or rivers or trees
Never forget — cycleways cost about 1% per kilometre as much as roads … and we never talk about what we spend on roads
https://www.…
Bester VPN wenn ihr Hund gerade beim Kacken ist?
Die Süddeutsche Zeitung hat in ihrem Marketingteil eine eigene News-Seite mit fast 100 VPN-Quatsch-Tests voller Fehler und schwachsinniger Behauptungen (zum Beispiel doppelte Verschlüsselung für höhere Sicherheit):
https://www.sueddeutsche.de/erfahrungen/…
Crosslisted article(s) found for math.CT. https://arxiv.org/list/math.CT/new
[1/1]:
- Fibrations in Oriented Category Theory
David Gepner, Hadrian Heine
https:/…
arxiv_collab: Scientific collaborations in physics (1995-2005)
Collaboration graphs for scientists, extracted from the Los Alamos e-Print arXiv (physics), for 1995-1999 for three categories, and additionally for 1995-2003 and 1995-2005 for one category. For copyright reasons, the MEDLINE (biomedical research) and NCSTRL (computer science) collaboration graphs from this paper are not publicly available.
This network has 31163 nodes and 120029 edges.
Tags: Social, Collaborati…
On dualizability and invertibility in the higher Morita category
Claudia Scheimbauer, Pelle Steffens, William Stewart
https://arxiv.org/abs/2607.16953 https://
Replaced article(s) found for cs.GR. https://arxiv.org/list/cs.GR/new
[1/1]:
- Conformal tubular parameterization and toroidal bending of tube-like surfaces
Shunyu Yao, Gary P. T. Choi
https://arxiv.org/abs/2605.16305 https://mastoxiv.page/@arXiv_csGR_bot/116600097651538857
- SCALMU: Synthetically-trained Coupling of Adaptive Learned Multiplicative Updates for Hyperspectr...
Xinxin Xu, Yann Gousseau, Christophe Kervazo, Sa\"id Ladjal
https://arxiv.org/abs/2605.30973 https://mastoxiv.page/@arXiv_eessIV_bot/116673699236122120
- CNS-Edit : Category-Agnostic 3D Editing with Coupled Neural Shape Representation
Jingyu Hu, Weilong Yan, Zhengzhe Liu, Haipeng Li, Ka-Hei Hui, Hao Zhang, Chi-Wing Fu
https://arxiv.org/abs/2607.16577
toXiv_bot_toot
[2026-07-21 Tue (UTC), 3 new articles found for math.CT Category Theory]
toXiv_bot_toot
Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[5/5]:
- Energy-Modulated Time-Asymmetric Spontaneous Collapse: Forward-Backward Dynamics from Stochastic ...
Ikechukwu C. Okoro, Mike O. Osiele, Godfrey E. Akpojotor
https://arxiv.org/abs/2606.06452 https://mastoxiv.page/@arXiv_quantph_bot/116696558215965415
- Fun with Graph States: Nonlocal Bell Pairs and the Arf Invariant
Bartlomiej Czech, Yichen Feng, Xianlai Wu, Minjun Xie
https://arxiv.org/abs/2606.06582 https://mastoxiv.page/@arXiv_quantph_bot/116713369377389218
- JGRA: Jacobian Geometry Robustness Assessment in NISQ Noise-Aware Quantum Neural Networks
Gianluca Scanu, Luca Barletta, Stefano Rini
https://arxiv.org/abs/2606.09964 https://mastoxiv.page/@arXiv_quantph_bot/116724737493129996
- Towards the implementation of a quantum classifier
Lorenzo Confalonieri
https://arxiv.org/abs/2606.10150 https://mastoxiv.page/@arXiv_quantph_bot/116724826333574245
- Classical representation of the dynamics of quantum spin chains
Tony Jin
https://arxiv.org/abs/2502.10502 https://mastoxiv.page/@arXiv_condmatstatmech_bot/114023643712493871
- A Physics-Inspired Optimizer: Velocity Regularized Adam
Pranav Vaidhyanathan, Lucas Schorling, Natalia Ares, Maike Osborne
https://arxiv.org/abs/2505.13196 https://mastoxiv.page/@arXiv_csLG_bot/114539123804911573
- TensorKit.jl: A Julia package for large-scale tensor computations, with a hint of category theory
Lukas Devos, Jutho Haegeman
https://arxiv.org/abs/2508.10076 https://mastoxiv.page/@arXiv_csMS_bot/115031801387098178
- Magneto-Optical Trapping of a Metal Hydride Molecule
Jinyu Dai, Benjamin Riley, Qi Sun, Debayan Mitra, Tanya Zelevinsky
https://arxiv.org/abs/2512.22350 https://mastoxiv.page/@arXiv_physicsatomph_bot/115807661192131547
- Integrable Massless and Massive Fermions
Zhao Zhang
https://arxiv.org/abs/2603.11172 https://mastoxiv.page/@arXiv_nlinSI_bot/116220764978246106
- Holographic Complexity, Extremality, and Cosmic Censorship
Fuat Berkin Altunkaynak
https://arxiv.org/abs/2604.20170 https://mastoxiv.page/@arXiv_hepth_bot/116453018510714885
- Strong-field control of the $Z$-boson resonance in $e^ e^-$ collisions
Fengye Chen, Qingzheng Lv, Libin Fu
https://arxiv.org/abs/2606.09394 https://mastoxiv.page/@arXiv_hepph_bot/116719301448440291
toXiv_bot_toot
Universal Assembly and Cellular Loop Spaces on Regular CW Complexes
Serhii Dylda, Tibor Macko
https://arxiv.org/abs/2606.05051 https://arxiv.org/pdf/2606.05051 https://arxiv.org/html/2606.05051
arXiv:2606.05051v1 Announce Type: new
Abstract: We develop a regular CW analogue of the classical assembly formalism for chain complexes appearing in algebraic surgery theory. From the cell poset, we construct combinatorial path and loop objects using fences of comparable cells and prove that their classifying spaces recover the homotopy types of the ordinary based path and loop spaces. The resulting loop object carries a natural monoid structure, giving rise to a DG algebra defined directly from the cellular structure.
For complexes of cellular cosheaves, we introduce a universal assembly functor to modules over the group ring of the fundamental group and study the localization determined by global equivalences. The associated homotopy category is identified with a Verdier quotient of the derived category of cellular cosheaves, and its fibrant objects are precisely the homotopy locally constant complexes. A single elementary cosheaf becomes a compact generator after localization, and its derived endomorphism DG algebra is identified with singular chains on the cellular loop space. Consequently, the localized theory admits a Morita description in terms of DG modules over the loop DG algebra. The formalism provides a regular CW counterpart of the classical delta-set approach to assembly in algebraic surgery theory due to Ranicki and Weiss.
toXiv_bot_toot
In an earlier post I introduced the principle that there were four categories of side hustle. Let’s now talk about the fourth and final category.
𝗜 𝗤𝘂𝗮𝗱𝗿𝗮𝗻𝘁: 𝗪𝗵𝗲𝗻 𝗠𝗼𝗻𝗲𝘆 𝗗𝗼𝗲𝘀 𝘁𝗵𝗲 𝗪𝗼𝗿𝗸
Investor income is built on capital, not hours.
Examples:
• Stocks
• Real estate
• Digital assets
𝐏𝐫𝐨𝐬:
✔ Potentially passive
✔ Long-term wealth
✔ True financial independence
𝐂𝐨𝐧𝐬:
✖ Requires capital
✖ Risk if poorly educated
✖ Results take time
💡 Most investors don’t start here.
They fund this quadrant using income from other quadrants!
𝐅𝐢𝐧𝐚𝐥 𝐭𝐡𝐨𝐮𝐠𝐡𝐭:
Which quadrant is financing your future?
Ospreys in the Chesapeake Bay Are Starving to Death at Disastrous Rates.
What Will It Take to Save Them?
After a spectacular comeback from DDT, the Osprey population has plummeted within the watershed and is showing signs of trouble elsewhere.
The birds’ fate may once more rest on collective action
arxiv_collab: Scientific collaborations in physics (1995-2005)
Collaboration graphs for scientists, extracted from the Los Alamos e-Print arXiv (physics), for 1995-1999 for three categories, and additionally for 1995-2003 and 1995-2005 for one category. For copyright reasons, the MEDLINE (biomedical research) and NCSTRL (computer science) collaboration graphs from this paper are not publicly available.
This network has 8361 nodes and 15751 edges.
Tags: Social, Collaboration…
Very interesting developments in Ukraine. I can only think it is normal for a state that is at war to have very strong opinions within its government.
“One participant in the president’s meeting with lawmakers recounted Zelensky’s words this way:
They live in two different worlds. [DM] Misha wants to digitize everything, to build a system around technology. The military just wants to be heard. They ask for one category of weapons to be procured, and he refuses and funds other areas instead. They’ve simply stopped hearing each other. I can’t allow the Defense Ministry and the General Staff to be at war with each other in a country that’s at war. Ideally, I’d replace them both. But I can’t do that at the same time.”
I just hope they can keep and achieve the goal to push Russia out of Ukraine.
#russiaUkraineWar
https://meduza.io/en/feature/2026/07/16/ukrainian-defense-minister-mykhailo-fedorov-stopped-rubber-stamping-the-general-staff-s-requests-six-months-in-zelensky-sided-with-the-generals
Crosslisted article(s) found for cs.GR. https://arxiv.org/list/cs.GR/new
[1/1]:
- Clarify Before Executing: A Self-Evolving Agent for Resolving Intent Asymmetry in 3D Tool Orchest...
Xiaoye Zhu, Weixin Li, Junan Huo, Bozhong Wang, Jia Zeng, Yi Yang, Cen Chen, Qi Liu
https://arxiv.org/abs/2607.16352
- CNS-Edit : Category-Agnostic 3D Editing with Coupled Neural Shape Representation
Jingyu Hu, Weilong Yan, Zhengzhe Liu, Haipeng Li, Ka-Hei Hui, Hao, Zhang, Chi-Wing Fu
https://arxiv.org/abs/2607.16577
- TopoGS: Planar Reconstruction via Topology-aware 3D Gaussian Splatting
Shanshan Pan, Jiale Chen, Yilin Liu, Hui Huang
https://arxiv.org/abs/2607.16838
- SciForma: Structure-Faithful Generation of Scientific Diagrams
Yuxuan Luo, Peng Zhang, Xinjie Zhang, Xun Guo, Zhouhui Lian, Yan Lu
https://arxiv.org/abs/2607.18091
- SGA: Plug&Play Geometric Verification for Educational Video Synthesis
Lopez Jhon, Hinojosa Carlos, Ghanem Bernard
https://arxiv.org/abs/2607.18116 https://mastoxiv.page/@arXiv_csAI_bot/116957182951799578
- Lossless-INR: Lossless Volumetric Implicit Neural Representations
Kaiyuan Tang, Daniel Burke, Chaoli Wang
https://arxiv.org/abs/2607.18150
toXiv_bot_toot
In the "Serves Them Right" category, mosquitoes can be drained of their ill-gotten meals by Culicoides anophelis, a ceratopogonid midge ("no-see-ums") that can stay attached for days. I hope the puncture sites itch like crazy. #mosquitoes #midges #ceratopogonidae #insects #diptera #flies https://www.youtube.com/watch?v=I66VySLTwW0
arxiv_collab: Scientific collaborations in physics (1995-2005)
Collaboration graphs for scientists, extracted from the Los Alamos e-Print arXiv (physics), for 1995-1999 for three categories, and additionally for 1995-2003 and 1995-2005 for one category. For copyright reasons, the MEDLINE (biomedical research) and NCSTRL (computer science) collaboration graphs from this paper are not publicly available.
This network has 16706 nodes and 121251 edges.
Tags: Social, Collaborati…
In an earlier post I introduced the principle that there were four categories of side hustle. Let’s now talk about the third category.
𝗕 𝗤𝘂𝗮𝗱𝗿𝗮𝗻𝘁: 𝗕𝘂𝗶𝗹𝗱𝗶𝗻𝗴 𝗦𝘆𝘀𝘁𝗲𝗺𝘀, 𝗡𝗼𝘁 𝗝𝘂𝘀𝘁 𝗜𝗻𝗰𝗼𝗺𝗲
Business-owner side hustles focus on leverage.
Examples:
• Online businesses
• Automated systems
• Team-based models
𝐏𝐫𝐨𝐬:
✔ Scalable
✔ Time flexibility over time
✔ Can become a true asset
𝐂𝐨𝐧𝐬:
✖ Learning curve
✖ Requires patience
✖ Needs structure and mentorship
💡 This is where side hustles stop being “extra money” and start becoming 𝐨𝐩𝐭𝐢𝐨𝐧𝐬. To me, 𝐭𝐡𝐢𝐬 𝐢𝐬 𝐭𝐡𝐞 𝐛𝐞𝐬𝐭 𝐭𝐲𝐩𝐞 𝐨𝐟 𝐬𝐢𝐝𝐞 𝐡𝐮𝐬𝐭𝐥𝐞 𝐭𝐨 𝐭𝐚𝐫𝐠𝐞𝐭. Remember, the whole point of a side hustle is that you can start one while already doing something else.
𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧:
Would you rather work 𝒉𝒂𝒓𝒅𝒆𝒓 – or 𝒔𝒎𝒂𝒓𝒕𝒆𝒓?
arxiv_collab: Scientific collaborations in physics (1995-2005)
Collaboration graphs for scientists, extracted from the Los Alamos e-Print arXiv (physics), for 1995-1999 for three categories, and additionally for 1995-2003 and 1995-2005 for one category. For copyright reasons, the MEDLINE (biomedical research) and NCSTRL (computer science) collaboration graphs from this paper are not publicly available.
This network has 16706 nodes and 121251 edges.
Tags: Social, Collaborati…
Burklund-Lin-Wang-Xu Methods in the Cofiber-of-Tau Formalism and Applications to Equivariant Slice Differentials
Yuchen Wu
https://arxiv.org/abs/2606.02779 https://arxiv.org/pdf/2606.02779 https://arxiv.org/html/2606.02779
arXiv:2606.02779v1 Announce Type: new
Abstract: We reinvestigate the theory of spectral sequences by studying the $(\infty,1)$-category of filtered spectra through the cofiber-of-$\tau$ formalism of Burklund-Isaksen-Pstragowski-Wang-Xu. In this framework, we define and analyze hidden extensions along arbitrary maps of filtered spectra, establishing computational principles that extend the generalized Leibniz rule and the generalized Mahowald trick of Lin-Wang-Xu, as well as Burklund's Leibniz rule for total differentials, from the Adams spectral sequence to this broader setup. Our formulation uses a more refined, layered notion of extension, which slightly sharpens these statements even for the Adams spectral sequence. As an application, we study equivariant slice spectral sequences and obtain new families of "exotic transfer" differentials in the $C_4$-slice spectral sequences for the Hill-Hopkins-Ravenel theories $\mathrm{BP}^{((C_4))}\langle m\rangle$ for every $m \ge 1$.
toXiv_bot_toot
Composition of bispans of $G$-sets and plethysm
Nathan Cornelius, Evan Franchere, Usman Hafeez, Jesse Keyes, David Mehrle, Lakshay Modi, Nathaniel Stapleton
https://arxiv.org/abs/2606.03649 https://arxiv.org/pdf/2606.03649 https://arxiv.org/html/2606.03649
arXiv:2606.03649v1 Announce Type: new
Abstract: Let $P(G)$ be the Grothendieck ring of the semiring of endomorphisms of the point in the $1$-category of bispans of finite $G$-sets for a finite group $G$. This is the bispan analogue of the Burnside ring of $G$. The ring $P(G)$ admits a third operation from composition of bispans. We produce a character map for $P(G)$ landing in a plethory built out of polynomial rings and the poset of conjugacy classes of subgroups of $G$. We prove that the character map sends composition of bispans to the plethysm operation -- which is a generalization of composition of polynomials.
toXiv_bot_toot
arxiv_collab: Scientific collaborations in physics (1995-2005)
Collaboration graphs for scientists, extracted from the Los Alamos e-Print arXiv (physics), for 1995-1999 for three categories, and additionally for 1995-2003 and 1995-2005 for one category. For copyright reasons, the MEDLINE (biomedical research) and NCSTRL (computer science) collaboration graphs from this paper are not publicly available.
This network has 16706 nodes and 121251 edges.
Tags: Social, Collaborati…
In an earlier post I introduced the principle that there were four categories of side hustle. Let’s now talk about the second category.
𝗦 𝗤𝘂𝗮𝗱𝗿𝗮𝗻𝘁: 𝗢𝘄𝗻𝗶𝗻𝗴 𝘁𝗵𝗲 𝗝𝗼𝗯 (𝗮𝗻𝗱 𝘁𝗵𝗲 𝗦𝘁𝗿𝗲𝘀𝘀)
Self-employed side hustles mean 𝒚𝒐𝒖 are the business.
Examples:
• Coaching
• Consulting
• Service-based businesses
𝐏𝐫𝐨𝐬:
✔ More control
✔ Higher income potential
✔ Uses your experience
𝐂𝐨𝐧𝐬:
✖ Still time-dependent
✖ Hard to step away
✖ Burnout risk
💡 Many people leave a job… only to create a more demanding one.
𝐊𝐞𝐲 𝐪𝐮𝐞𝐬𝐭𝐢𝐨𝐧:
What happens to your income if you take a week off?
arxiv_collab: Scientific collaborations in physics (1995-2005)
Collaboration graphs for scientists, extracted from the Los Alamos e-Print arXiv (physics), for 1995-1999 for three categories, and additionally for 1995-2003 and 1995-2005 for one category. For copyright reasons, the MEDLINE (biomedical research) and NCSTRL (computer science) collaboration graphs from this paper are not publicly available.
This network has 8361 nodes and 15751 edges.
Tags: Social, Collaboration…
𝗘 𝗤𝘂𝗮𝗱𝗿𝗮𝗻𝘁 𝗦𝗶𝗱𝗲 𝗛𝘂𝘀𝘁𝗹𝗲𝘀: 𝗤𝘂𝗶𝗰𝗸 𝗜𝗻𝗰𝗼𝗺𝗲, 𝗟𝗶𝗺𝗶𝘁𝗲𝗱 𝗙𝗿𝗲𝗲𝗱𝗼𝗺
In an earlier post I introduced the principle that there were four categories of side hustle. Let’s talk about the first category.
Employee-style side hustles pay you for hours worked.
Examples:
• Gig work
• Freelancing by the hour
• Part-time jobs
𝐏𝐫𝐨𝐬:
✔ Easy to start
✔ Immediate income
✔ Low learning curve
𝐂𝐨𝐧𝐬:
✖ No leverage
✖ No scalability
✖ Income stops when time stops
💡 These hustles can help short-term – but they rarely change your financial future.
𝐇𝐨𝐧𝐞𝐬𝐭 𝐪𝐮𝐞𝐬𝐭𝐢𝐨𝐧:
Are you building income… or just filling time?
In an earlier post I introduced the principle that there were four categories of side hustle. Let’s now talk about the fourth and final category.
𝗜 𝗤𝘂𝗮𝗱𝗿𝗮𝗻𝘁: 𝗪𝗵𝗲𝗻 𝗠𝗼𝗻𝗲𝘆 𝗗𝗼𝗲𝘀 𝘁𝗵𝗲 𝗪𝗼𝗿𝗸
Investor income is built on capital, not hours.
Examples:
• Stocks
• Real estate
• Digital assets
𝐏𝐫𝐨𝐬:
✔ Potentially passive
✔ Long-term wealth
✔ True financial independence
𝐂𝐨𝐧𝐬:
✖ Requires capital
✖ Risk if poorly educated
✖ Results take time
💡 Most investors don’t start here.
They fund this quadrant using income from other quadrants!
𝐅𝐢𝐧𝐚𝐥 𝐭𝐡𝐨𝐮𝐠𝐡𝐭:
Which quadrant is financing your future?
In an earlier post I introduced the principle that there were four categories of side hustle. Let’s now talk about the third category.
𝗕 𝗤𝘂𝗮𝗱𝗿𝗮𝗻𝘁: 𝗕𝘂𝗶𝗹𝗱𝗶𝗻𝗴 𝗦𝘆𝘀𝘁𝗲𝗺𝘀, 𝗡𝗼𝘁 𝗝𝘂𝘀𝘁 𝗜𝗻𝗰𝗼𝗺𝗲
Business-owner side hustles focus on leverage.
Examples:
• Online businesses
• Automated systems
• Team-based models
𝐏𝐫𝐨𝐬:
✔ Scalable
✔ Time flexibility over time
✔ Can become a true asset
𝐂𝐨𝐧𝐬:
✖ Learning curve
✖ Requires patience
✖ Needs structure and mentorship
💡 This is where side hustles stop being “extra money” and start becoming 𝐨𝐩𝐭𝐢𝐨𝐧𝐬. To me, 𝐭𝐡𝐢𝐬 𝐢𝐬 𝐭𝐡𝐞 𝐛𝐞𝐬𝐭 𝐭𝐲𝐩𝐞 𝐨𝐟 𝐬𝐢𝐝𝐞 𝐡𝐮𝐬𝐭𝐥𝐞 𝐭𝐨 𝐭𝐚𝐫𝐠𝐞𝐭. Remember, the whole point of a side hustle is that you can start one while already doing something else.
𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧:
Would you rather work 𝒉𝒂𝒓𝒅𝒆𝒓 – or 𝒔𝒎𝒂𝒓𝒕𝒆𝒓?
In an earlier post I introduced the principle that there were four categories of side hustle. Let’s now talk about the second category.
𝗦 𝗤𝘂𝗮𝗱𝗿𝗮𝗻𝘁: 𝗢𝘄𝗻𝗶𝗻𝗴 𝘁𝗵𝗲 𝗝𝗼𝗯 (𝗮𝗻𝗱 𝘁𝗵𝗲 𝗦𝘁𝗿𝗲𝘀𝘀)
Self-employed side hustles mean 𝒚𝒐𝒖 are the business.
Examples:
• Coaching
• Consulting
• Service-based businesses
𝐏𝐫𝐨𝐬:
✔ More control
✔ Higher income potential
✔ Uses your experience
𝐂𝐨𝐧𝐬:
✖ Still time-dependent
✖ Hard to step away
✖ Burnout risk
💡 Many people leave a job… only to create a more demanding one.
𝐊𝐞𝐲 𝐪𝐮𝐞𝐬𝐭𝐢𝐨𝐧:
What happens to your income if you take a week off?
𝗘 𝗤𝘂𝗮𝗱𝗿𝗮𝗻𝘁 𝗦𝗶𝗱𝗲 𝗛𝘂𝘀𝘁𝗹𝗲𝘀: 𝗤𝘂𝗶𝗰𝗸 𝗜𝗻𝗰𝗼𝗺𝗲, 𝗟𝗶𝗺𝗶𝘁𝗲𝗱 𝗙𝗿𝗲𝗲𝗱𝗼𝗺
In an earlier post I introduced the principle that there were four categories of side hustle. Let’s talk about the first category.
Employee-style side hustles pay you for hours worked.
Examples:
• Gig work
• Freelancing by the hour
• Part-time jobs
𝐏𝐫𝐨𝐬:
✔ Easy to start
✔ Immediate income
✔ Low learning curve
𝐂𝐨𝐧𝐬:
✖ No leverage
✖ No scalability
✖ Income stops when time stops
💡 These hustles can help short-term – but they rarely change your financial future.
𝐇𝐨𝐧𝐞𝐬𝐭 𝐪𝐮𝐞𝐬𝐭𝐢𝐨𝐧:
Are you building income… or just filling time?