Recent content by FactChecker

I think I will not live long enough to worry that someone owning a quantum computer will try to crack my password safe file. IMO, by that time the technology of password safes will offer quantum safe encryption.

Big Bend has a wide variety.

Right. I was just trying to stay as basic as possible.

The theorem specifies that the domain must be simply connected. Your "counter example" fails to remain within a simply-connected domain. Since the function is not defined at the origin, the domain must exclude a path (branch cut) in ##\mathbb {C}## from the origin to infinity in order to be...

If they record identical measurements of position and time for the sphere of light, but their measurement systems of position and time are not identical, would you call the two spheres "identical"? That is the situation. Both are equally valid, but their systems of measurement are not the same.

Good point. This brings in aspects of game theory. If the host plays games to offer a switch more often when the contestant's door is a winner, the contestant might catch on and never switch. Then the host might fool the contestant by offering when the contestant's door is a loser. It is basic...

This is fundamentally different. It is critical in the original puzzle that the host can not open a door with the prize and his offer does not depend on whether your door is the winner.

It's important for an explanation to clearly distinguish between the case where the host performs a "filtering selection" by intentionally opening losing doors, versus the case where the host just opens a losing door by luck. A direct application of Bayes' Rule involves assigning a value to...

A mathematical proof (there might be others) is based on Bayes' Rule. You can use that to directly calculate the probabilities. If you understand and accept the proof of Bayes' Rule, then you will understand the proof of this problem solution.

Not just that, but the exhaust of a jet is at a very high velocity. It all depends on the location and installation of the engine(s). There are shapes to minimize drag and they definitely depend on the media. For the shape of airplanes, you seem to have supersonic planes in mind. That is a lot...

Remember that airplanes propel themselves by pushing a stream of air behind them, whereas ground vehicles propel with the tires and not by pushing air. That changes the aerodynamics significantly. But I am not an expert on this subject and there might be a lot more to consider.

I was seriously hoping there were simplified Linux distros that made basic computer usage (email, photos, internet browsing, etc.) easy for the elderly. I Googled it and could not find a simplified distro. That seems strange to me, since there are minimal Linux distros for other things.

I disagree. In @Dale 's 100-door example, our selected door initially had a 1/100 chance of being the correct door. The other 99/100 chances were in the other doors. The host is not allowed to open your door or the winning door. He opens 98 other doors. That gives you a lot of information --...

In a physics application, I would be cautious about ruling out either solution unless the physics that led to the OP forced one branch of the square root to be invalid. Either one, or both might apply. Continue to work with both until the final answer is obtained and then see which one(s) work...

Linux is a good option. I have switched my old laptop to it because it didn't have the hardware that Windows 11 wants. There might be a Linux distro that is designed for older people who do not want to mess with learning a whole new OS.