Gavran's latest activity

There are many versions of this problem with different scores and different interrupting events. One interesting scenario is a scenario...

@symbolipoint, thank you. In any of the earlier posts, nobody mentioned the solution for ## 0^0 ##. Using post #8 for defining ## 0^0...

I host games here and there (darts, cards) and I keep running up against discrepancies for "what should happen in scenario X". My...

If an unforeseen condition arises in a game between two players then only those two players can determine what is the most acceptable...

Also nearly the best answer!

Two players, A and B, are playing a game, and the probability that either player wins a round is 1/2. They contribute equally to a prize...

Can you provide any reference where these methods are called "multiplication and division by numerical trituration"?

Thanks @Gavran for pointing out those cases. In my formulation, I computed the largest petal and the next largest petal which accounts...

The formula ## f=(\pi/5+\sin72^\circ/2-2\sin72^\circ\sin^236^\circ)/(\pi/5+\sin72^\circ/2)\\ ## from post #6 can be transformed into a...

I worked up the general case for integer ##n## overlapping circles. Here is the Desmos page; The red circle is the generator of the...

Aagh. Misread the question. Post struck-through.

With complex numbers, it makes it even easier,...

My answer was actually <0.4 at about 0.3974 so I am investigating my math… EDIT: I did the calculation another way and agree with @Gavran.

Consider a disc of radius ##R## with a uniform mass distribution and total mass ##M## rotating in its own plane. In its COM's inertial...

Make the radii of the holes tend to zero: we have a body tending to look close to a coin. If all the molecules of coin increase at once...