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Mar
13
comment What is the sum of the reciprocal of all of the factors of a number?
@N.S.JOHN it’s likely that you made a mistake somewhere, $f$ doesn’t reach the value $11.5$ until about $n = 10^{276}$.
Mar
12
comment What is the sum of the reciprocal of all of the factors of a number?
Here are plots for the first 100k integers: i.imgur.com/XDyVK7p.png and for the first 10 million: i.imgur.com/y5SYGOd.png The largest value in this range is obtained for $8648640 = 2^6 × 3^3 × 5× 7 × 11× 13$
Dec
22
awarded  Nice Answer
Sep
23
answered What is the smallest value of $x^2+y^2$ when $x+y=6$?
Jul
30
awarded  Yearling
Jul
28
answered Can the golden ratio accurately be expressed in terms of e and $\pi$
Feb
15
answered Formal proof for $(-1) \times (-1) = 1$
Dec
18
comment Can't argue with success? Looking for “bad math” that “gets away with it”
Maybe this could be explained? I had to Google for what it meant because I have never learned to write down a division like that.
Jun
4
awarded  Yearling
Apr
21
comment Getting the sequence $\{1, 0, -1, 0, 1, 0, -1, 0, \ldots\}$ without trig?
@bodacydo - your solution is not a solution; it never outputs -1.
Apr
15
answered Getting the sequence $\{1, 0, -1, 0, 1, 0, -1, 0, \ldots\}$ without trig?
Apr
15
comment Getting the sequence $\{1, 0, -1, 0, 1, 0, -1, 0, \ldots\}$ without trig?
Probably not the fastest, because there is (((x+3)>>1)&1) - ((x>>1)&1).
Jan
11
awarded  Nice Answer
Jan
10
awarded  Critic
Jan
10
awarded  Editor
Jan
10
revised Proving the inequality $e^{-2x}\leq 1-x$
shorter proof
Jan
10
awarded  Teacher
Jan
10
answered Proving the inequality $e^{-2x}\leq 1-x$
Dec
15
comment Fast 2D Line Triangle Intersection test
Sorry, please disregard; they're projection directions, all right.
Dec
15
comment Fast 2D Line Triangle Intersection test
For the fourth direction, don't you mean the vector normal to the line segment instead?