Navier-Stokes equations describe the motion of fluids by balancing the rate of change of momentum with forces from pressure, viscosity, and gravity while maintaining zero divergence for incompressible flow:
∂𝐮/∂t + 𝐮 · ∇𝐮 + (1/ρ)∇p = 𝐠 + ν ∇·∇𝐮, with the continuity condition ∇·𝐮 = 0.
Numerical solutions of these equations produce the streamlines shown interacting with a Formula 1 car. Racing teams use them in computational fluid dynamics to design aerodynamic features that boost downforce for better cornering and cut drag for higher top speeds.
Elon Musk: "In the next 6 to 12 months, we’ll be doing our first implants for vision, where even if somebody is completely blind, we can write directly to the visual cortex."
"Long term, you would have very high resolution and be able to see multispectral wavelengths... you could see in infrared, ultraviolet, radar. It's like a superpower situation."
A tensor generalizes vectors and matrices into higher-dimensional mathematical objects that describe relationships between multiple quantities.
A vector is a 1D list, a matrix is a 2D grid, and a 3rd order tensor can be visualized as a 3D cube. The stress tensor σᵢⱼ represents internal forces within a material, while the Riemann curvature tensor
R(u,v)w = ∇ᵤ∇ᵥw − ∇ᵥ∇ᵤw − ∇₍[u,v]₎w
describes the curvature of spacetime in general relativity. Other concepts shown include the product derivative rule, the tensor product A ⊗ B, and the quantum state
(1/√2)(|00⟩ + |11⟩).
Tensors are indispensable in engineering, physics, machine learning, computer vision, and many other fields where multidimensional data and complex interactions must be modeled accurately.
Elon Musk:
“The biggest mistake I've made is to put too much weighting on somebody's talent and not enough on their personality.
It actually matters whether somebody has a good heart.”
@Poeslawisalive@elonmusk Ahmm! love it actually, so all that i need is a good well made baseball bat as possible safety deterrent incase of Chinese adventure
Elon Musk:
"I think what’s most important in training AI and in growing an AI is to make sure that it is as truthful as possible and maximally curious
Because I think if that's true, then it'll probably foster humanity. But it's very important that AI be trained to be honest even if that truth is unpopular"
From the intrinsic evidence of his creation, the Great Architect of the Universe now begins to appear as a pure mathematician.
- Sir James Jeans, The Mysterious Universe (1930)
Elon Musk on AI, Robotics & Abundance:
“With AI and robotics, this is the path to abundance for all
If you want to solve global poverty or give everyone a very high standard of living, the only way to do that is AI and robotics
That doesn’t mean it’s without risk. We have to be very careful… we don’t want to end up in a Terminator movie
But if AI becomes ubiquitous and essentially free, and robotics is everywhere too, you’ll see an explosion in the global economy on a scale that’s hard to even comprehend”
@JimThomson52951 Jim i understand your POV, but the problem here is rather more complex then that, @elonmusk himself isn’t the kind of person who supports heavy-handed restrictions like this. There’s really no need to remind anyone that human creativity can’t thrive under such tightly bound constraints especially when the whole point is to understand the universe.The real issue here is the laws targeting deepfakes (DF) and (CSM) that came after what looked like a coordinated wave of complaints and backlash in January. I don’t believe this was entirely organic. I’m not pushing any conspiracy theory, but looking at the situation, it feels like it was either aimed at Elon and broader user freedoms at the same time, or a small number of people generating extreme and inappropriate fetish content ended up dragging every user into an overly aggressive “Terry stop” situation where everything gets heavily scrutinized by default.The bigger problem is what happens when a model gets hyper-tuned to block or censor certain topics and aggressively moderate outputs. Its attention gets completely diverted toward so called “RLHF-defined safety,” and right now it’s only operating at maybe 60–70% of its original capability from the full training data imo, On top of that, they’ve added very tight quotas around 20 videos at 480p max if you’re lucky, Otherwise the system just blocks most generations because it’s overly sensitive and flags almost any catchword or phrase in the prompt, this extreme swing from one side to the other isn’t sustainable. I’m hopeful and confident that @elonmusk is already working on fixing it. I’m not just registering a complaint here; I’m pointing out that real solutions exist, The natural laws of market dynamics will always prevail: where there is genuine demand for creative tools, you simply cannot block or restrict the supply indefinitely. Overly restrictive systems often end up driving users toward less accountable alternatives anyway.