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I believe I can show that if this holds for numbers of the form 1+22p-1 then it holds for all positive integers - but crucially I can't demonstrate...
przyk's answer is the correct one (I can give a game theory explanation if you like - actually, finding a Nash equilibrium isn't that hard). przyk,...
Nice. Here's a new one: You are one of three contestants on a game show. You each pick a non-negative integer (0, 1, 2, 3, ...) and the person who...
You have a black box computer program that takes in a natural number x and returns a random integer distributed uniformly between 0 and x-1. If we...
That seems to be the whole point of this forum...?
Apparently you haven't actually read the 'if' part of my 'if-then' statement. I doubt it. The Greeks didn't know what 'decimal places' were....
I didn't say anything about compass and ruler construction - for the Greeks, who weren't even comfortable with the idea that curvilinear shapes might...
Quick bump to ask if anyone has looked at this since I posted it. Do you agree that Archimedes knew how to square the circle?
This is genuinely a show that is broadcast? Like, on actual television? Yeesh.
I took (what I think is) a different approach to solving this. Method only, no explicit solution. <method>Consider the processes as a Markov...
Even if your claimed identity is an identity (which I'm prepared to believe, by the way, even though I can't be bothered to derive it myself) you...
I'm actually stunned, given that you've read some of my previous posts, that you think I was being serious.
Only in the case of N=1.
Think of the conceptually much simpler case: f(x) = x/x A computer wouldn't accept 0 as an input to this function, even though it clearly has a...
That's interesting. So there are revisions of the SM that incorporate nonzero neutrino mass? Who needs testable predictions anyway, right?...
The way you've written it, no - because you'd have a division by zero. However, multiplying the numerator and the denominator in the exponent by...
The Standard Model unifies three of the four fundamental forces (electromagnetic, weak nuclear and strong nuclear) but not the fourth (gravity). For...
Mmm. I suspected it would be ugly. Thanks for explaining it in detail though! I wonder if there's a nicer way of looking at it, which generalizes to...
Here's another brain teaser to kick things off (think the last one might be near to running its course.) If you have a shuffled pack of cards...
Separate names with a comma.
