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App developer, Research Associate, and Lecturer of and dabbler in Mathematics.


Aug
21
answered What was the first bit of mathematics that made you realize that math is beautiful? (For children's book)
Aug
20
comment General form for $2\int_{0}^{\infty} \frac{1-t^2}{(1+t^2)((a+b)t^2+a-b)} \mathrm dt$
This is not LaTeX as it stands. Please reformat.
Aug
19
revised Irrational number “test”?
added 12 characters in body
Aug
19
comment Irrational number “test”?
@ Erick thank you very much for your answer. I had an inkling my thoughts might be "on the right track", but clearly "hadn't got it quite right" !
Aug
19
comment Irrational number “test”?
@ Erick wow - I see that now: while $$\lim_{n\to\infty}\frac{u_n}{v_n} = \lim_{n\to\infty}\frac{n}{n+1}=1,$$ we have $$\lim_{n\to\infty}(n+1)\times 1-n=\lim_{n\to\infty} 1 = 1\neq 0.$$
Aug
19
comment Basic graphing - plot v = 10i +4
You're probably getting confused by a use of different variable names. You are probably familiar with $x$ and $y$ ? Just replace $v$ with $x$ and $i$ with $y$ to get $x=10y+4$, or rearranging $y=(x-4)/10=x/10-2/5.$ Since this is the equation of a line, let $x=0$ to get a $y$ value, then let $y=0$ to get an $x$ value. Plot these two coordinates and join them to get your line.
Aug
19
answered How can I bring $\sin(x)$ to the following form?
Aug
19
revised How can I bring $\sin(x)$ to the following form?
changed the title slightly
Aug
19
suggested suggested edit on How can I bring $\sin(x)$ to the following form?
Aug
19
comment Irrational number “test”?
@ Erick but isn't this just the same as my original question, since $$\lim_{n\to\infty}v_n a-u_n=0 \iff \lim_{n\to\infty}a=\lim_{n\to\infty}\frac{u_n}{v_n}\iff a=\lim_{n\to\infty}\frac{u_n}{v_n},$$ and $u_n,v_n\to\infty$ as $n\to\infty$, $(u_n,v_n)=1$ ?
Aug
18
asked What is the asymptotic behaviour of $n^3 \log(\Gamma(1 + 1/n))$ as $n\to\infty$?
Aug
18
accepted Irrational number “test”?
Aug
15
comment Irrational number “test”?
Thanks Erick. Do you have a reference for this or a resource for further details? I'd like to study more.
Aug
15
revised Irrational number “test”?
deleted 4 characters in body
Aug
15
comment Irrational number “test”?
@Erick yes you're right. I've updated the question.
Aug
15
asked Irrational number “test”?
Aug
15
answered Landau's proof that $\zeta(s)=\prod_{p} \frac{1}{1-p^{-s}}$
Aug
14
comment Evaluation of $\int_0^\infty \frac{(x^2+y^2)^{-s/2}}{e^{2\pi y}-1}\cos(s \arctan(y/x))dy$
@ OlivierOloa thank you that's very helpful.
Aug
14
revised Evaluation of $\int_0^\infty \frac{(x^2+y^2)^{-s/2}}{e^{2\pi y}-1}\cos(s \arctan(y/x))dy$
added 1 character in body
Aug
12
accepted Evaluation of $\int_0^\infty \frac{(x^2+y^2)^{-s/2}}{e^{2\pi y}-1}\cos(s \arctan(y/x))dy$