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2d
comment Is the max of two differentiable functions piecewise-differentiable?
Wow, I definitely thought the answer to this was yes. Nice answer!
Mar
10
comment Is every composite number the average of two primes?
@user314 He, nor the question said 2 OTHER primes. A prime p, is the average of p and p.
Feb
24
comment Seven line segments, with lengths no greater than 10 inches, and no shorter than 1 inch, are given.
@mistermarko how is "3,4,5 is a triangle" a proof at all?
Feb
23
comment Is there a one-to-one function from the natural numbers to the primes?
@SashoNikolov well, if we had an injective function that was log computable on the bits of n, then given a prime p, we know that somewhere between f(0) and f(p) must lie p (we can probably get a much smaller range, but this seems sufficient for proofs sake). Then we can binary search between these two function points.
Feb
14
comment Interesting problem in logarithms
This seems like an odd question. Surely you could write the result in terms of a and b with just: $$\frac{3\ln2+\ln 3}{2\ln 5}-a-b+a+b$$ How much trickery do you have to do before you can say that it's in terms of a and b?
Dec
20
awarded  Caucus
Oct
31
comment Are there periodic functions without a smallest period?
@PrzemysławScherwentke This appears to be the only continuous one, so it's certainly note-worthy! Although, I'm almost tempted to say that the period is 0 in this case.
Oct
31
comment Are there periodic functions without a smallest period?
I guess this is a consequence of the fact that there are irrationals(in fact infinitely many) between any 2 rationals?
Oct
24
awarded  Yearling
Aug
29
comment When does L' Hopital's rule fail?
This way, they think of L'Hopital's Rule as just another tool instead of magic. Except that L'Hopital's is pretty much sorcery. Just sorcery that sometimes fails :)
Aug
27
comment Can one deduce whether a given quantity is possible as the area of a triangle when supplied with the length of two of its sides?
and since $\sin \theta$ is continuous and $\sin 0 = 0$ ; all values between $0$ and $1$ are possible(intermediate value theorem)
Aug
26
comment What is the average of no numbers?
@BrianKnoblauch that depends on the language. Never 0, but Java you give null, javascript NaN is better
Aug
18
comment How far can one see over the ocean?
@JohannesD I guess an object on the precise polar opposite of you, could be as high as you want, and you still couldn't see it.
Aug
18
comment What algorithm is used by computers to calculate logarithms?
Both of your links are dead btw.
Aug
18
comment What algorithm is used by computers to calculate logarithms?
@KonradRudolph Wow, I never noticed they were anagrams of eachother!
Aug
13
comment Can a coin with an unknown bias be treated as fair?
@user2357112 Well, if the sd card is actually fair, then it still is fair after the first flip. But you can't determine fairness based on lack of knowledge anymore.
Aug
13
comment If a fair die is thrown three times, what is the probability that the sum of the faces is 9?
@SilverQuettier I think, unless otherwise specified, we assume 6-sided dice, as they're the most popular.
Aug
13
answered If a fair die is thrown three times, what is the probability that the sum of the faces is 9?
Aug
7
comment What is the maximum y-value of the following function?
I solved it after asking the question :). Did it using Aditya's answer, but keeping it general.
Aug
7
comment What is the maximum y-value of the following function?
Is there a name for this theorem? Maybe a proof? I've never seen this before.