2,415 reputation
932
bio website
location Canada
age 32
visits member for 1 year, 10 months
seen 10 hours ago

I hold a diploma in Network Administration (along with many industry certifications) and am currently studying Computer Science and Pure Math in University.


Mar
18
accepted Under what condition does $ac\equiv bc\ (mod\ n)$ imply that $a\equiv b\ (mod\ n)$?
Mar
18
asked Under what condition does $ac\equiv bc\ (mod\ n)$ imply that $a\equiv b\ (mod\ n)$?
Mar
12
asked Is the set of natural numbers closed under subtraction?
Mar
12
comment Find $q$ and $r$ with $0\leq r\leq |b|$, such that $a=qb+r$
Hmmm. I understand how the Euclidean algorithm works for finding relative primality and the GCD of two numbers... Is this similar? It didn't appear to be when I first read it.
Mar
12
asked Find $q$ and $r$ with $0\leq r\leq |b|$, such that $a=qb+r$
Mar
11
asked How can i show that any two arbitrary intervals in the set of reals have the same cardinality?
Mar
11
asked Let $A$ and $B$ be arbitrary sets. Show that $|A\times B|=|B\times A|$
Mar
11
accepted Show that $\displaystyle\int_{-\pi}^\pi\sin mx\sin nx d x=\begin{cases}0&\text{if }m\neq n,\\\pi&\text{if }m=n\end{cases}$ using integration by parts
Mar
11
comment Show that $\displaystyle\int_{-\pi}^\pi\sin mx\sin nx d x=\begin{cases}0&\text{if }m\neq n,\\\pi&\text{if }m=n\end{cases}$ using integration by parts
@Lubin Well, I passed it in using the trig identity... It only said "Hint: Use integration by parts". So I didn't bother, since it was easier otherwise. If I lose marks then I lose marks.
Mar
11
comment Show that $\displaystyle\int_{-\pi}^\pi\sin mx\sin nx d x=\begin{cases}0&\text{if }m\neq n,\\\pi&\text{if }m=n\end{cases}$ using integration by parts
Why is $\sin{kx}$ and "odd" function?
Mar
11
revised Show that $\displaystyle\int_{-\pi}^\pi\sin mx\sin nx d x=\begin{cases}0&\text{if }m\neq n,\\\pi&\text{if }m=n\end{cases}$ using integration by parts
added 325 characters in body
Mar
11
comment Show that $\displaystyle\int_{-\pi}^\pi\sin mx\sin nx d x=\begin{cases}0&\text{if }m\neq n,\\\pi&\text{if }m=n\end{cases}$ using integration by parts
I'm not quite sure I understand how you got where you did - is that a typo? Shouldn't it be $\cos{(x(m-n))}$? Also, when I follow that procedure, like what wolfram alpha does, I get to a scenario where if $m=n$, then when I plug into the formula, I end up dividing by 0.
Mar
11
comment Show that $\displaystyle\int_{-\pi}^\pi\sin mx\sin nx d x=\begin{cases}0&\text{if }m\neq n,\\\pi&\text{if }m=n\end{cases}$ using integration by parts
I don't suppose I have to... but the hint on the assignment says to do so.
Mar
11
asked Show that $\displaystyle\int_{-\pi}^\pi\sin mx\sin nx d x=\begin{cases}0&\text{if }m\neq n,\\\pi&\text{if }m=n\end{cases}$ using integration by parts
Mar
10
comment How do I solve $\int\frac{\cos^2(x)}{\sin(x)}\ dx$ without using Weierstass Substitution?
Indeed I should have known that... I'm starting to think that my brain is going numb from all the trig integrals I've done. Thanks for the insight.
Mar
10
asked How do I solve $\int\frac{\cos^2(x)}{\sin(x)}\ dx$ without using Weierstass Substitution?
Mar
10
comment How to integrate $\int\frac{1}{1+\cos{x}}\ dx$?
I'll definitely have to look into this method. I don't recall being taught it, but it looks like it might be very helpful in the future.
Mar
10
accepted How to integrate $\int\frac{1}{1+\cos{x}}\ dx$?
Mar
10
asked How to integrate $\int\frac{1}{1+\cos{x}}\ dx$?
Mar
10
accepted What does the notation $2\mathbb{Z}$ mean?