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May
18
comment Another Information Theory Riddle
Another way to think about this would be 1 + (zero-indexed position of largest number) * 24 + (zero-indexed position of second largest number) * 6 + ...
May
7
awarded  Caucus
Apr
29
comment Understanding matrices?
@bubba, Thanks! I've started reading here: betterexplained.com/articles/linear-algebra-guide.
Apr
29
comment Understanding matrices?
@AdamSaltz, In that case, do you know of any good online resources for learning linear algebra?
Apr
29
comment Understanding matrices?
@AdamSaltz, hmm is there an area of mathematics I should understand before attempting to understand matrices? What exactly did that answerer mean by linear function? Just a function with variables all to the first power?
Apr
29
asked Understanding matrices?
Mar
25
comment Is one of the reasons we know $ y = e^{2x}$ is always positive that it is a square?
@user13267, To conclude that the reason $e^{2x}$ is positive is because it's a square would mean that anything that is a square is positive, which isn't true for complex numbers. edit: Well, that's my thinking, and I don't really understand what's incorrect about it.
Mar
24
accepted Is one of the reasons we know $ y = e^{2x}$ is always positive that it is a square?
Mar
24
comment Is one of the reasons we know $ y = e^{2x}$ is always positive that it is a square?
Because no real number squared is $-1$? I think what I'm trying to ask is: Is one of the reasons why (2) is incorrect because of the possibility of the base being negative, making the base raised to $x$ complex and its square not necessarily positive?
Mar
24
comment Is one of the reasons we know $ y = e^{2x}$ is always positive that it is a square?
Right, but (2) doesn't specify the sign of the number being squared. I wasn't aware prior to asking this question that, as Berci said, "sx is not defined (among reals) unless s≥0". The extent of what I've been taught about negative numbers raised to powers is that the result is positive for even powers and negative for odd ones. Is it implied that, if working with real numbers, a number that can be squared is positive?
Mar
24
comment Is one of the reasons we know $ y = e^{2x}$ is always positive that it is a square?
Assuming it meant nonnegative instead of positive, would it then be valid? What I understand from the responses is that it's an incorrect reason because of the possibility of the result being $0$, but I thought it was incorrect because of the possibility of the result being negative. Is it not possible that a number $n$ to the power $2x$ is negative?
Mar
24
comment Is one of the reasons we know $ y = e^{2x}$ is always positive that it is a square?
That is to say that (2) isn't a valid reason?
Mar
24
comment Is one of the reasons we know $ y = e^{2x}$ is always positive that it is a square?
Doesn't $i^2=-1$?
Mar
24
comment Is one of the reasons we know $ y = e^{2x}$ is always positive that it is a square?
@WChargin, edit: edit: yes. Got confused for a second there
Mar
24
asked Is one of the reasons we know $ y = e^{2x}$ is always positive that it is a square?
Mar
17
revised What was the first bit of mathematics that made you realize that math is beautiful? (For children's book)
added 2 characters in body
Mar
15
comment Duplicate quadratic Bézier curve with new start point?
Sorry, meant B to be the starting point.
Mar
15
revised Duplicate quadratic Bézier curve with new start point?
deleted 1 characters in body
Mar
15
asked Duplicate quadratic Bézier curve with new start point?
Mar
14
comment Finding the coordinates of a point five units along the line perpendicular to a midpoint?
Thanks so much, it finally snapped with me yesterday after going over that comment 100 times. I appreciate the answer!