Reputation
4,009
Top tag
Next privilege 5,000 Rep.
Approve tag wiki edits
Badges
2 14 37
Impact
~126k people reached

Mar
25
revised $\int \sin(ax) \,\mathrm d x$
edited title
Mar
25
comment Why does tan(t) touch the unit circle at (1,0)?
angle in radians or degrees?
Mar
25
revised $\left(\frac{a^2+d^2}{a+d}\right)^3+\left(\frac{b^2+c^2}{b+c}\right)^3\geq\left(\frac{a+b}{2}\right)^3+\left(\frac{c+d}{2}\right)^3$
edited title
Mar
25
revised $\frac{a^2+b^2+c^2}{a^5+b^5+c^5}+\cdots+\frac{d^2+a^2+b^2}{d ^5+a^5+b^5}\le\frac{a+b+c+d}{abcd}$
edited title
Mar
25
revised $\frac{a}{\sqrt{a+b}}+\frac{b}{\sqrt{b+c}}+\frac{c}{\sqrt{c+a}}\geq \frac{3}{\sqrt{2}}$
edited title
Mar
25
revised $\sum_{i=1}^{n} (3i + 2n)$
edited title
Mar
25
revised $\lim _{n \rightarrow \infty }a_{n}=\sqrt{a_{n-2}a_{n-1}}$ , $a_1=1, a_2=2$
edited title
Mar
25
revised $\iiint_WfdV=\int_{A}^{B}\int_{C}^{D}\int_{E}^{F} d\rho d\varphi d\theta$
edited title
Mar
25
revised $\lim _{x\rightarrow\infty} \left(\sqrt{(1+ab)(1+ab+(1-a)cx^{-d})}-\sqrt{ab(ab+(1-a)cx^{-d})}\right)^{-x}$
edited title
Mar
25
revised $\lim_{n\rightarrow \infty} (n+1)\cdot x^{n\cdot n!} < 1$
edited title
Mar
25
revised Is taking limits an operator?
added 1 characters in body
Mar
25
answered Is taking limits an operator?
Mar
24
comment Show that if $1+\frac {1}{2}+\frac{1}{3}+\cdots +\frac {1}{p-1}=\frac {a}{b}$then a is divisible by $p^2$
@AnindyaGhatak : never mind, thanks to this duplicate question now I know about wolstenholme's theorem. This question should be left as an alternative pointer to proof of wolstenholme's theorem. +1 from me.
Mar
24
revised Show that if $1+\frac {1}{2}+\frac{1}{3}+\cdots +\frac {1}{p-1}=\frac {a}{b}$then a is divisible by $p^2$
added 161 characters in body; edited title
Mar
24
comment Show that if $1+\frac {1}{2}+\frac{1}{3}+\cdots +\frac {1}{p-1}=\frac {a}{b}$then a is divisible by $p^2$
@Abhijit : I am assuming he means divisible, I am editing the title accordingly
Mar
24
revised If $U_0 = 0$ and $U_n=\sqrt{U_{n-1}+(1/2)^{n-1}}$, then $U_n < U_{n-1}+(1/2)^n$ for $n > 2$
edited title
Mar
24
revised $\iiint e^{-x^2-2y^2-3z^2}dV$
edited title
Mar
24
revised $( \forall k \in \mathbb N ,\, n \neq k^2 \implies \sqrt{n} \not \in \mathbb Q)\implies \sqrt{2}+ \sqrt{3} \not \in \mathbb Q$
edited title
Mar
24
comment Infinite Sequence of Inscribed Pentagrams - Where does it converge?
@JulienClancy : thanks, I wasn't sure with my drawings either, but I am still looking for some relationship between consecutive inscribes.
Mar
24
comment Infinite Sequence of Inscribed Pentagrams - Where does it converge?
Is every second inscription similar? by that I mean if $p_0$ is the original pentagram, and $p_1,p_2,\cdots$ are the follow up inscriptions then all $p_0,p_2,p_4$ and $p_1,p_3,p_5$ are just scaled down versions of their $p_{k-2}$th ancestor pentagram?