Genady

I don't think so. I think that it never calculates the full DNN function (too big), but rather each time a random subset of it.

No.

It sounds as if one could calculate the movement of mass / energy, and then use it to calculate the spacetime geometry. But I don't think it is generally possible. The movement of mass / energy depends on the spacetime geometry, and one cannot calculate the former without the latter. I think that the equality between Einstein tensor and stress-energy tensor dictates the spacetime geometry, i.e., the spacetime geometry is dictated by the equation rather than by its parts. IOW, the spacetime geometry is such that it makes these two parts equal.

I've noticed another old puzzle that reminded me the puzzle in the OP. The solution is unique.

Correct. +1

This is an important reason. But it is somewhat reduced here, because about half of the electricity on the island is already produced by wind, and they plan to keep installing more turbines. Yes, it would be fun.

No, it is not.

I am receiving offers for solar panels and various configurations, with and without batteries. To make a decision I need to have a clear reason, why would I go for it. What are the possible reasons?

...should not you be on Kremlin by now.. ? They don't pay well enough.

Yes, to all three points above.

(Playing devil's advocate) If you keep asking the bot the same question it keeps giving different answers. It goes somewhere else every time.

This is how I'd solve it. When three sides of the triangle are known, its area is given by Heron's formula. OTOH, with the semicircle as described in the OP, its area is r(b+c)/2. Equate the two and find r from the equation. Sine of an angle between sides a and b can be found from the equation, Area = ab sinC / 2. The distance from the vertex to the circle center, x = r/sinC.

Four bugs sit in a perfect 10x10 square, ABCD. Simultaneously, they start marching: A toward B, B toward C, C toward D, and D toward A. They march, spiraling, until they meet at the center. What distance does each bug cover?

Why is it a problem?

The first misconception in the OP that I notice is that in fact virtual particles and force carrying particles / bosons are not the same and are not even related in a special way. Any particle, a boson or a fermion can be virtual or not in different particle processes. Generally speaking, virtual particles are particles which participate in a process but do not appear at the process's start and end. They get created, do something, and then annihilated during the process.

We have ice and snow high in the mountains, is it any surprise that we have ... umm ... we have ...?

OK. This is the weight of the bird times distance, small amount of energy compared to the energy that is there in the wind and goes unused.

Yes, I know. They use air flow. But they don't harvest energy from it. This is what I meant.

For the same aerodynamics of air, there is a great variety of wings. Even more if we consider wings of extinct organisms as well. Even more could be but were not realized. Organisms did not utilize, e.g., wind energy until humans invented windmills and wind turbines.

IIUC, the machine learning engine, on which (e.g.) ChatGPT runs, works as follows. During the 'training', it builds a DNN type function, which minimizes a functional. The functional is a measure of distance between the function output and a given target. Then, during the 'run', it applies the function to new inputs. So, the machine learning of (in this case) language is based on matching verbal outputs of the function and the target verbal outputs. I don't think this is similar to how humans learn language. I don't think we learn by trying to match our verbal outputs to supplied verbal targets.

Why would anybody spend any effort on debunking your theory?

According to this article, it already does: How AI Knows Things No One Told It - Scientific American

But if components of an equation merge, there is no equation. Any equation requires at least two components, like A = B. If they all merge, you are left with A, which is not an equation.