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1d
comment How would multiplying money work?
@AMADANONInc See the end of this wonderful xkcd post for fuel efficiency in units (length)^2. what-if.xkcd.com/11
1d
awarded  Yearling
Apr
9
comment Is $\exp(x)$ the same as $e^x$?
@zed111 At first I agreed with you - too many upvotes. But scanning the answers shows that it is in fact an interesting question, though perhaps more interesting than the OP knew.
Feb
11
comment What is the meaning of $A^2$ if $A$ is a set?
The power set is $2^A$. The answer below starts to explain why.
Feb
4
comment How can one create random numbers with special correlations?
This follows from a classic calculus problem: The area of a sphere between two parallel planes only depends on the distance between the planes, and the diameter of the sphere. It doesn’t matter where these planes are in relation to the sphere. There are lots of proofs on the web, e.g. usrsb.in/blog/blog/2011/08/11/….
Feb
1
awarded  Nice Answer
Jan
31
comment How to make sense of fractions?
@IlmariKaronen I don't think they are in fact the "same underlying thing". You can cut up a pie without knowing anything about the number line. You can study the number line without thinking about fractions, but the number line is no help when you try to add or multiply fractions. When you get to abstract algebra the third one is the only one that matters. I think you do really decide (not necessarily consciously) which interpretation matters in any particular context. There is really some subtle philosophy and linguistics going on - and it makes teaching fractions to kids hard.
Jan
31
answered How to make sense of fractions?
Jan
15
revised Finding total after percentage has been used?
fixed typo in formula
Jan
15
answered Finding total after percentage has been used?
Jan
14
answered A fan, a horn, and a snowflake - unusual math terms
Jan
12
answered A book for abstract algebra with high school level
Jan
8
answered Is there a domain “larger” than (i.e., a supserset of) the complex number domain?
Dec
16
comment How many ways can seven people sit around a circular table?
You may also consider reflections different.
Dec
13
awarded  Caucus
Nov
11
comment Why is an ellipse, hyperbola, and circle not a function?
+1 for congratulating the student.
Nov
11
awarded  Commentator
Nov
11
comment Subtracting Quarters of Squares Equals Multiply?!
@JackM Maybe DrC is doing what you say he (or she) is, but that's not clear. Johanna's right. This proof would be OK if between each equation it said explicitly "which is equivalent to". Without that, it really does seem to reason from what its trying to prove.
Nov
1
answered Why are there letters as additional digits in bases greater than the decimal base (10)?
Oct
31
comment Problem on selecting group of card from a well shuffled pack of card
Your math professor should approve of this answer, not hate it. It requires just enough abstraction to be convincing - not more.