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  • 95 votes cast
Jan
21
comment How to prove that all odd powers of two add one are multiples of three
@BrianTung I was probably just being a diva, but this is way easier to follow. Thanks!
Jan
20
comment How to prove that all odd powers of two add one are multiples of three
This inline notation makes it difficult to see where you've used to hypothesis. Took me way longer to comprehend than it should have for such a simple induction proof
Jan
11
comment Easy word problem but am I working it too hard?
That seems unreasonable to me My thoughts exactly. It astonishes me that they wouldn't specify that assumption in the question. Me reading that, I would simply give the answer: "Not enough information to accurately solve the question".
Jan
11
answered If squaring a number means multiplying that number with itself then shouldn't taking square root of a number mean to divide a number by itself?
Nov
6
comment Why does cancelling change this equation?
That's a different way of looking at it. Interesting
Oct
29
comment Infinite number of decimal places?
@AkivaWeinberger No, it's not special because it's algebraic. It's special independent of that. Algebraicness is neither a source nor a deafener of specialhood. Neither is rationality, or at least to a rather small degree. (FYI, couldn't think of a decent antonym to source, so deafener had to suffice)
Oct
29
comment Infinite number of decimal places?
@fleablood Yep. They leave school with this idea that pi is special BECAUSE of it's irrationality. Which simply is ridiculous. It would be much more special had it been rational.
Oct
29
comment Infinite number of decimal places?
@MaxW I wouldn't expect very much of a debate about that issue on MSE...
Oct
28
comment How to solve this confusing permutation problem related to arrangement of books?
This is more so a full-blown(but very helpful) answer than a hint
Oct
24
awarded  Yearling
Jun
3
answered Name of the highest power of 2 smaller than or equal to a given number
Jun
3
comment Name of the highest power of 2 smaller than or equal to a given number
isn't the first bit most significant though?
May
17
awarded  Autobiographer
May
12
comment Why are two planes parallel to the same line not necessarily parallel?
This is what I was thinking about, but couldn't have articulated it this nicely.
May
12
comment What do we call the front part of a decimal number?
@Mehrdad I would refrain from using the word integral, just because it has a specific meaning in calculus
May
6
answered How many ways can $133$ be written as sum of only $1s$ and $2s$
Apr
23
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.