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Jan
26
awarded  Notable Question
Jan
24
awarded  Popular Question
Dec
18
comment How does the triangle inequality work for $|x-y|$?
Yes, that's what I ended up finding. Never occured to me
Dec
17
accepted How does the triangle inequality work for $|x-y|$?
Dec
17
comment How does the triangle inequality work for $|x-y|$?
Nevermind - I found a proof that shows the inequality using $|x+y|$
Dec
17
comment How does the triangle inequality work for $|x-y|$?
But my question, though, is how $||x|-|y||\leq|x+y|$? My textbook says (without proving) that $||x|-|y||\leq|x+y|\leq |x|+|y|$.
Dec
17
comment How does the triangle inequality work for $|x-y|$?
I have here that $||x|-|y||\leq|x+y|\leq |x|+|y|$... I was able to find several proofs of the "reverse triangle inequality", but they all start off with $|x-y|$ instead of $|x+y|$ like in the upper and lower bounds given. How does this proof translate from $|x|-|y|\leq |x-y|$ to $||x|-|y||\leq |x+y|$?
Dec
17
asked How does the triangle inequality work for $|x-y|$?
Nov
25
awarded  Popular Question
Nov
6
asked How to conclusively determine the interior of a set
Nov
5
awarded  Nice Question
Nov
4
asked Convert a WFF to Clausal Form
Nov
4
accepted Finding the matrix of a linear transformation relative to two non-standard bases
Nov
3
comment Finding the matrix of a linear transformation relative to two non-standard bases
@Omnomnomnom Unfortunately, all it says is what $T$ is for a given $\langle x,y,z\rangle$.
Nov
3
revised Finding the matrix of a linear transformation relative to two non-standard bases
Added missing part of question
Nov
3
asked Finding the matrix of a linear transformation relative to two non-standard bases
Nov
3
awarded  Nice Question
Nov
3
asked How to find the coordinate vector of $\left[\begin{array}{r}x\\y\end{array}\right]$ with respect to some non-standard basis $\mathcal{B}$
Oct
31
awarded  Popular Question
Oct
28
revised If $\mathbb{Z}_m^*$ is cyclic, and $\mathbb{Z}_m^*=\langle\overline{g}\rangle$, is $\overline{g}$ a primitive root?
added 41 characters in body