joan manuel

[joan manuel @joanmanueluc]

https://t.co/oB5GOUa7LK

[Engineering Clarified @EngClarified]

Bending Moment Diagram (k-ft)
Qualitative Deflected Shape

[Mirelys Contreras @mirelct]

¡Feliz Día Mundial de la Arquitectura y del Hábitat! Resaltamos la invaluable labor de los profesionales que aportan su visión y gran talento a viviendas y estructuras que suman al desarrollo urbano sostenible del país. #RegresoAClases @NicolasMaduro @delcyrodriguezv

[Engineering Clarified @EngClarified]

the SF and BM diagram correct or incorrect?

[Cliff Pickover @pickover]

Mathematics.

Triangle of the gods.

By Diego Rattaggi, @diegorattaggi, Used with permission.

[Espabila @ahorrayespabila]

Uno de los libros más vendidos de finanzas personales.
Está muy bien si buscas algo básico para principiantes.👇

[Simplifying AI @simplifyinAI]

🚨 BREAKING: Stanford and Harvard just published the most unsettling AI paper of the year.

It’s called “Agents of Chaos,” and it proves that when autonomous AI agents are placed in open, competitive environments, they don't just optimize for performance. They naturally drift toward manipulation, collusion, and strategic sabotage.

It’s a massive, systems-level warning.

The instability doesn’t come from jailbreaks or malicious prompts. It emerges entirely from incentives. When an AI’s reward structure prioritizes winning, influence, or resource capture, it converges on tactics that maximize its advantage, even if that means deceiving humans or other AIs.

The Core Tension:

Local alignment ≠ global stability. You can perfectly align a single AI assistant. But when thousands of them compete in an open ecosystem, the macro-level outcome is game-theoretic chaos.

Why this matters right now:

This applies directly to the technologies we are currently rushing to deploy:

→ Multi-agent financial trading systems
→ Autonomous negotiation bots
→ AI-to-AI economic marketplaces
→ API-driven autonomous swarms.

The Takeaway:

Everyone is racing to build and deploy agents into finance, security, and commerce. Almost nobody is modeling the ecosystem effects. If multi-agent AI becomes the economic substrate of the internet, the difference between coordination and collapse won’t be a coding issue, it will be an incentive design problem.

[Math Files @Math_files]

The Cauchy integral formula is a fundamental result in complex analysis, discovered by the French mathematician Augustin-Louis Cauchy.

It shows that the value of a complex function inside a region can be completely determined by the values of the function along the boundary of that region.

In simple terms, knowing what happens around the edge of a circle tells you exactly what happens inside it.

This powerful idea is one of the foundations of complex analysis and leads to many important results about analytic functions.

[TIC Educativas💻📱 @TicEducativas]

La Taxonomía de Bloom se actualiza para la era de la IA. No basta con recordar; el reto hoy es usar la inteligencia artificial para analizar sesgos, optimizar procesos y crear soluciones éticas. 🚀

Créditos: @gesvin 💻🎓

#IAenEducación #InnovaciónEducativa #EdTech #TIC #Docentes21

[Fran Pradas | Ingeniero de IA @franpradasAI]

Estás usando Claude como si fuera un chatbot.

❌ Pero TE EQUIVOCAS.

Claude no es una app de chat.

Es un motor de ejecución multinivel.

Claude tiene múltiples capas:
- Chat (ideas)
- Code (implementación)
- MCP (conexiones con herramientas)
- Skills (automatizaciones reutilizables)
- CLAUDE.md (memoria del proyecto)

¿Pero el verdadero desbloqueo?

→ Skills + MCP juntos.

Ahí es donde Claude deja de sugerir…
y empieza a ejecutar.

Cuando:
- Conectas tus herramientas (GitHub, Notion, Slack, Vercel, etc.)
- Instalas skills reutilizables
- Le das contexto persistente del proyecto

Ya no estás “escribiendo prompts”.

Estás operando con un compañero de equipo de IA.

Así es como puedes:
- Crear automáticamente documentos de requisitos de producto a partir de reuniones
- Desplegar apps sin tocar dashboards
- Generar informes, dashboards y documentación en minutos
- Ejecutar flujos de trabajo en todo tu stack

Por eso estoy compartiendo esta hoja.

Domina esto y no tendrás que saltar entre 20 tutoriales otra vez.

Todo lo que necesitas está aquí.

Entiende esto y gana. 🚀

[CSE Aspirants @cse_aspirantss]

✅️Mensuration- Complete Formulas ( 2D & 3D )

[SKG @sonukg4india]

https://t.co/ZVuVyvq7wS

[SolvingForZ @SolvingForZ]

Mathematics

[SolvingForZ @SolvingForZ]

Why (a + b)² Breaks into Three Parts

A square of side (a + b) naturally divides into smaller squares and rectangles.
This visual proof explains where a², 2ab, and b² really come from—no confusion, no memorization.

[joan manuel @joanmanueluc]

Visualización del Teorema
https://t.co/bDeXKzCkpH

[Alec Helbling @alec_helbling]

Stokes' Theorem is a classic result from vector calculus.

It tells us that the line integral of a vector field over a loop is equal to the surface integral of the curl of the vector field over some enclosed surface.

[Physics In History @PhysInHistory]

One of the most beautiful equations in mathematics✍️

[Engineering Clarified @EngClarified]

Dynamics

[Frank Nielsen @FrnkNlsn]

Hilbert geometry is never a Hilbert space...
... but HG for the standard simplex is isomorphic to a normed vector space!

"Non-linear Embeddings in Hilbert Simplex Geometry"
https://t.co/dIA5m6aAbK

Video of Hilbert hexagonal balls in the simplex:
https://t.co/SXFhWbuber

[William A. Wallace, Ph.D. @WilliamWallace]

Your gut isn’t just digesting food… It’s running a biochemical factory that keeps you alive.

Most people think the colon is just “where waste goes.”
But this illustration shows something more:

Your colon is one of the most underrated metabolic organs in the entire body.

Inside this 5-foot stretch of tubing, billions of bacteria are:
🔥 Creating vitamins
🔥 Producing short-chain fatty acids (the fuel your colon cells run on)
🔥 Detoxifying harmful compounds
🔥 Breaking down proteins into neurotransmitter precursors
🔥 Regulating your immune system
🔥 Deciding whether you feel inflamed, bloated, focused, or foggy

And all of it is happening silently, every hour of every day.

Looking closer at what this one diagram reveals:

🔸 Fiber → SCFAs (butyrate, acetate, propionate)
These molecules lower inflammation, feed colon cells, improve insulin sensitivity, and even influence mood.

🔸 Protein → amino acids → neurotransmitter precursors
Yes, your gut bacteria help shape serotonin, dopamine, and even histamine levels.

🔸 Your colon detoxifies more than your liver gets credit for.
Phenols, ammonia, indoles, cresol, skatole. Your microbes help neutralize them before they ever hit your bloodstream.

🔸 Gas, pH changes, mucus secretion, metal excretion, nutrient salvage; it all happens here.
Your colon saves water, electrolytes, energy, and even rescues calories you would otherwise lose.

🔸 The final 135 grams of stool are only a fraction of the metabolic work happening behind the scenes.

This is why gut health affects EVERYTHING: digestion, immunity, mental clarity, inflammation, skin, sleep, metabolism; all of it.

Your gut isn’t a waste pipe.
It’s an ecosystem, a chemical lab, and a second brain whispering instructions to the rest of your body.

Source:
Thieme’s Color Atlas of Physiology

[Jorge Chibás @chibas]

Guía práctica para manejar la manipulación, el narcisismo y los conflictos sin desgaste innecesario. 📝