Ben Voigt
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 Apr10 comment What does the term “undefined” actually mean? The phrase result is some strange entity with the property “undefined”, Carsten's dismissal of which you took exception to, is far more accurate than your answer. The claim you are making that all undefined results are equal to each other, that there is a single member of the result set carrying the tag "undefined", is completely wrong. Mar28 comment Is induction valid when starting at a negative number as a base case? @crash: There's something missing from your description. For example, $n \leq 5$ satisfies all your propositions but not the conclusion. Feb5 comment What is the appropriate statistical test to see if a quantity has been distributed differently into discrete bins? You need more than averages to do this well. Also, with a million units, it's probable a 2% difference is significant. Dec3 comment Is it possible to simulate a floor() function with elementary arithmetic? @bfred.it: That doesn't necessarily break it. How did you test? Can you link me a fiddle or something I can meddle with a little? Because when I try, the browser seems to be rounding everything to the nearest px. Dec2 comment Is it possible to simulate a floor() function with elementary arithmetic? @bfred.it: See gammatester's answer to see how to induce rounding. Dec2 comment Is it possible to simulate a floor() function with elementary arithmetic? But actual arithmetic implementations also have discontinuities. Oct28 comment Uniform White Noise I think there is a mistake in this answer. $E[x_s x_t]=0$, $s \neq t$ is a much weaker property than independence. Independence requires that $P(x_t) = P(x_t | x_s)$, doesn't it? Aug29 comment Is the Complex Conjugate the Only Way to Get a Real Number? @snulty: The complex number's inverse is a real multiple of its conjugate. Jul28 comment Why is it that if I count years from 2011 to 2014 as intervals I get 3 years, but if I count each year separately I get 4 years? @egreg: $10$ is the correct answer, if you plant the first tree $5$m from the end. $11$ won't fit in $100$m, they need at minimum $100$m + $d$, with $d$ being the diameter of one tree. You could make a case for $9$, though... Jun1 comment How many possible game boards(game states) of tic tac toe n x n is possible? @Yoda: May it be assumed that the first player uses X? Jun1 comment How many possible game boards(game states) of tic tac toe n x n is possible? @benh: No, this includes games in progress, the other only includes completed games. Also, the OEIS sequence appear to distinguish between different paths, this question only considers the state. Jun1 comment Why do we drop the abolute value bars when doing indefinite integration? @alexqwx: Both. You've chosen $$A_1 = e^C$$ and they have chosen $$A_2 = \pm e^C$$. Either one is valid. Jun1 comment Why do we drop the abolute value bars when doing indefinite integration? No, putting sin in the exponent is not "fixed". You still are making $$|y| = A \sin x$$, but it is not May6 comment calculate the angles of a triangle? Shouldn't this be tagged trigonometry and not calculus? Apr25 comment Solving limit without L'Hôpital Choosing the negative root is equally valid, and soon simplifies to the same result. Apr25 comment Does 17% have to be equal to 0.17? Many of these comments are confusing $17\% x \not\equiv 0.17$ (correct) with $17\% x \neq 0.17$ (conditionally true) Apr3 comment Can a coin with an unknown bias be treated as fair? @ShreevatsaR: At least on other SE network sites it's accepted to use the answer area for comments which are either long, formatted, or contain images. Provided, of course, that one begins by "I would have made this a comment but couldn't because _____" Mar20 comment Are continuous functions monotonic for very small ranges? @IttayWeiss: Any given trajectory is $B(t) : \mathbb{R} \rightarrow \mathbb{R}$. The domain is time, which is a real number, and the result is position, also a real number. Mar20 comment Are continuous functions monotonic for very small ranges? @IttayWeiss: It's a function of time. Or a probability space which is a function of time. Mar13 awarded Yearling