PeroK's latest activity

This is the critical assumption/characteristic of the game. First, Monty's pick is not random (he never reveals the car); and second...

I love threads like this. Thank-you, @PeroK !

If I use Mathematica to solve ##a^b=b^a## for ##b## as a function of ##a## then I get $$b=-\frac{a \ W_0\left(-\frac{\ln(a)}{a}...

The general solution must be transcendental, similar to the Lambert W-function.

Mathematica has a function called "RegionPlot" that makes them very easy. Without the "pretty" options for the labels and the gridlines...

Here is a plot of the region where ##a^b>b^a## I think your rule covers the upper right and lower left quadrants. (the quadrant lines...

This is a follow-up to my post #27 (which so far has not received any specific comments), in which I drew from the 1982 Silverman...

People on Earth are flying around using hang gliders, paragliders etc. I have never heard anyone suggesting placing safety nets all over...

To be clear, you mean impact with the ground inside the asteroid, not the asteroid impacting something else. And, it seems that this...

I noticed the following question generated quite a lot of interest on the Internet. Which is larger ##e^{\pi}## or ##\pi^e##? Most (if...

Hi, my main interest is having it peer reviewed. I managed to have three people having a look at it, Finally. 2 of them are related to...

The fact that dL/dv is constant was never the question. The question was why v is constant.

Well done! I couldn't resist asking ChatGPT what it thought of your title. It was generally positive: 'It echoes the old cartographic...

Maybe it isn't the only solution. Any function of ##v## is also a function of ##v^2##. That said, you could specify that the Taylor...

Yes, it works in that direction. What I found more difficult was proving that it's the only possibility regardless of the Lagrangian...