We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.
The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.
The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
Cierre de semestre en la materia de Econometría de la ME de @CIDE_MX
Un gustazo haber compartido tantas horas de enseñanza y, espero, aprendizaje con este excelente grupo de alumnxs.
Las risas no faltaron.
🌄 ¡Podcast de la Montaña!
🎙️ Episodio 5 – Jhonatan Román: crecer, servir, volver
En este capítulo del Podcast de la Montaña conversamos con un jericoano que ha hecho del servicio su camino. Jhonatan Román nos habla de liderazgo, de creer en uno mismo y de cómo, después de salir a aprender, decidió volver para aportar.
Una historia inspiradora que conecta con lo esencial: las raíces, la vocación y el futuro.
#PodcastDeLaMontaña 🤩
#MineríaConPropósito 🌳
La Ministra @SusanaMuhamad ignora a las comunidades de los municipios que se verían afectados por las declaraciones de áreas de reserva. Viajamos en bus casi 12 horas esperando a que nos abra la puerta y nos escuche. No es posible tanta humillación @gguerreroruiz @consejodeestado
#datomatarelato En 1851 se realizó el primer censo de Jericó; allí se identificó que 1.4% de los hombres en edad de trabajar se dedicaban a la minería-metalúrgia.
En el censo de 1869 la cifra bajó a 0.4%.
En 2024 la cifra sigue similar y seguimos manteniendo vocación histórica
A la luz de los informes técnicos, parece ser que el argumento “defendemos el territorio, porque el agua se va a acabar por la minería”, es solo una gran mentira. Lo más triste es que son lxs campesinos a quienes manipulan con este tipo de falacias. #TodosCabemos@Minas_Energia
⚡Stone Skipping CFD Simulation⚡
Stone skipping CFD simulation using overInterDyMFoam solver of OpenFOAM using overset grid! Overset grid refers to using multiple disconnected grids to discretize the computational (static) and moving regions, which can overlap each other.
Happy 256th #Birthday to Joseph Fourier, whose transform is used in
- quantum mechanics
- signal processing
- spectroscopy
- digital compression of images and data
- solving differential equations
- designing electrical circuits
- ...
Las universidades no pueden promover la práctica oscura de decirle "doctor" a quien no posee ese grado.
Estamos en 2024 y es inaudito que todavía se piense (en una universidad) que "doctor" es una palabra que otorga un trato digno.
No. No es digno si no se tiene ese grado.
#RespetemosLaConstitucion desde la veeduría al uso y preservación de los recursos naturales en Jericó nos manifestamos en rechazar las vías de hecho y en permitir que sea las autoridades y la ley quienes hagan valer nuestros derechos constitucionales @PGN_COL@FiscaliaCol
Type 1 and Type 2 errors are confusing. In 3 minutes, I'll demolish your confusion. Let's dive in.
1. Type 1 Error (False Positive): This occurs when the pregnancy test tells Tom, the man, that he is pregnant. Obviously, Tom cannot be pregnant, so this result is a false alarm. In statistical terms, it's detecting an effect (in this case, pregnancy) when it actually doesn't exist.
2. Type 2 Error (False Negative): This happens when Lisa, who is actually pregnant, takes the test, and it tells her that she's not pregnant. The test failed to detect the real condition of pregnancy. In statistical terms, it's failing to detect a real effect (pregnancy) that is there.
3. Cost of Type 1 Error (False Positive): Telling someone who cannot be pregnant (like a man) that they are pregnant could lead to unnecessary stress, confusion, and possibly unnecessary medical consultations. While this is certainly costly in terms of emotional distress, it's largely a temporary situation that can be clarified with further testing.
4. Cost of Type 2 Error (False Negative): Telling someone who is actually pregnant that they are not pregnant could have more significant and longer-term consequences. For the pregnant individual, this might mean a delay in receiving prenatal care, which is crucial for the health of both the mother and the baby.
5. Business Context (Type 2 error cost > Type 2 error cost): In many business contexts, Type 2 errors (false negatives) are considered more critical than Type 1 errors (false positives) just like in the Pregnancy situation. Let's dive in.
6. Risk Management: In risk management, a Type 2 error might mean failing to detect a real risk or threat to the business, such as fraud, market shifts, or financial instability. This oversight can lead to significant financial losses, reputational damage, or even the failure of the business if the risk materializes and it is too late to mitigate it effectively.
7. Customer Retention: In customer-focused industries, not detecting shifts in customer preferences, satisfaction levels, or emerging needs can result in a decline in customer loyalty and market share. A Type 2 error in this context means missing the warning signs until it's too late to address the underlying issues effectively.
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Need help applying data science to business?
I'd like to help. Here's how:
👉 My Free 10 Skills Webinar: I put together a free on-demand workshop that covers the 10 skills that helped me make the transition to Data Scientist: https://t.co/LR39RJ5XKB
👉 Learn ChatGPT for 10X Faster DS Projects: I have a live workshop where I'll share how to use ChatGPT for Data Science (so you can complete projects 10X faster): https://t.co/EaMpKrJiqX
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Soy cultivador de café y como agricultor comparendo que el desarrollo de la agricultura también va de la mano con el desarrollo minero, el cobre está presente en nuestras máquinas despulpadoras @AGAColombia@petrogustavo@susanamuhamad@andrescamachom_