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Nov
11
awarded  Citizen Patrol
Sep
29
comment Counting numbers in a sequence - explain “Add 1 before you're done” rule
It does require that the start and end points are adjusted to exact multiples, the "discard the remainder" approach suggested by Jacob is not reliable. Consider: How many multiples of 7 are in the interval [6,8]? Now, how many in the interval [1,13]? Or [8,10]?
Sep
16
comment How do I make a student understand contradiction?
It doesn't imply that sqrt(3) is rational. It implies that EITHER sqrt(3) is rational OR p=q=0
Sep
11
comment Could anybody give me an example of finite measure which has non-zero value for all non-empty measurable set?
Your title says "non-negative", your question says "nonzero". Which did you mean?
Jun
27
awarded  Autobiographer
Mar
28
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.
Feb
5
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.
Dec
3
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.
Dec
2
comment Is it possible to simulate a floor() function with elementary arithmetic?
@bfred.it: See gammatester's answer to see how to induce rounding.
Dec
2
comment Is it possible to simulate a floor() function with elementary arithmetic?
But actual arithmetic implementations also have discontinuities.
Oct
28
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?
Aug
29
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.
Jul
28
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...
Jun
1
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?
Jun
1
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.
Jun
1
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.
Jun
1
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
May
6
comment calculate the angles of a triangle?
Shouldn't this be tagged trigonometry and not calculus?
Apr
25
comment Solving limit without L'Hôpital
Choosing the negative root is equally valid, and soon simplifies to the same result.
Apr
25
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)