Reputation
1,551
Top tag
Next privilege 2,000 Rep.
Edit questions and answers
Badges
1 9 11
Newest
 Yearling
Impact
~63k people reached

Apr
2
awarded  Yearling
Dec
22
awarded  Enlightened
Dec
22
awarded  Nice Answer
Apr
2
awarded  Yearling
Mar
27
awarded  Popular Question
Sep
13
awarded  Good Question
Apr
2
awarded  Yearling
May
2
awarded  Nice Answer
Apr
15
awarded  Enlightened
Apr
15
awarded  Nice Answer
Apr
2
awarded  Yearling
Jun
2
comment Determining the derivative of $e^{5x}\tan(2x)$
shouldn't $g(x) = \tan(2x)$?
May
30
comment Product of two ideals doesn't equal the intersection
@Andrew As an example, $2\mathbb{Z} + 3\mathbb{Z} = \mathbb{Z}$ because we can write $1 = 4 + (-3)$ and the first summand belongs to $2 \mathbb{Z}$ and the second one belongs to $3 \mathbb{Z}$. On the other hand, $4\mathbb{Z} + 6 \mathbb{Z} \neq \mathbb{Z}$. Any element of $4 \mathbb{Z} + 6\mathbb{Z}$ is of the form $4x+6y$ for some integers $x,y$; in particular, it is always even so it can never be equal to $1$. I hope this helps.
May
30
comment Product of two ideals doesn't equal the intersection
@Andrew But $I+J = R$ is a condition on $I$ and $J$! In general, $I+J$ is an ideal of $R$ which may or may not be equal to $R$.An equivalent way to state this condition is that $1 = i + j$ for some $i \in I$ and some $j \in J$. That is, $I+J=R$ if and only if you can write $1$ as a sum of an element of $I$ and an element of $J$.
May
29
comment Product of two ideals doesn't equal the intersection
@Dylan Moreland: Thanks for your comment! I just edited my answer.
May
29
revised Product of two ideals doesn't equal the intersection
deleted 21 characters in body
May
29
answered Product of two ideals doesn't equal the intersection
May
29
answered Simple Set Theory Question
May
28
comment Duality of $L^p$ and $L^q$
@t.b. Thank you for your comment and for the link. I appreciate it.
May
28
answered Duality of $L^p$ and $L^q$