661 reputation
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visits member for 1 year, 10 months
seen Aug 29 '13 at 3:14

Life is more fun with SE, I guess.


Sep
24
awarded  Autobiographer
Jul
2
awarded  Curious
Dec
17
awarded  Yearling
Mar
8
comment Journals of math history?
@GerryMyerson, Do you know by any chance how can I access the volume 24 of Ganita Bharati in the United States?
Jan
25
accepted Help on French Math Education Paper
Jan
24
asked Help on French Math Education Paper
Jan
8
comment type of singularity
I just realized that if we consider function $\frac {1}{g(z)}$, then that function will be analytic using Riemann Theorem on removable singularity, and is entire of course. Then Liouville's applied to $\frac{1}{g(z)}$ going to tell you the function is constant and hence $g(z)$ is a constant function. That means the singularity is removable. I don't know if I am right on this? You example rocks, I can not see a point to doubt on that. It seems the way I did also make sense. Would you plase comment further?
Jan
8
comment Singularity of Univalent function at $\infty$
@RobertIsrael, How do I rule out pole? Please help. I am lost totally.
Jan
6
comment Functions of bounded variation on all $\mathbb{R}$
Now this make lot more sense. Thanks @DavideGiraudo.
Jan
6
comment Functions of bounded variation on all $\mathbb{R}$
@DavideGiraudo $$\sum_{j=-N}^M |f(x+(j+1)h)-f(x+jh)|\leqslant T_F(x-Mh,x+(N+2)h)$$ Would not that $N+2$ must be $N+1$ then? or are you trying to bound by finer partition?
Jan
6
comment Functions of bounded variation on all $\mathbb{R}$
But still, I am in confusion. Can you explain further please? @DavideGiraudo
Jan
5
awarded  Promoter
Jan
5
accepted Find a conformal map of the given domain
Jan
4
comment Lebesgue Integral of ${x^2}$ over $[0,1]$
Ya, I know the formula and it seems it comes out right. But I am missing details on proving that sum actually converge to $x^2$. But I can see it is going to converge to $x^2$.
Jan
3
accepted difficulty understanding branch of the logarithm
Jan
3
accepted Lebesgue Integral of ${x^2}$ over $[0,1]$
Jan
3
comment Lebesgue Integral of ${x^2}$ over $[0,1]$
Would $S_n = \sum_k_{=0}^{n-1} \frac{k^2}{n^2} \mathbb 1 _{{[\frac{k}{n}, \frac{k+1}{n}]}}$ work for the simple function to approximate $x^2$ in $[0,1]$?
Jan
2
comment Sequence of measurable functions such that $a_nf_n \rightarrow 0$
would you please elaborate the part where you are saying "You can choose a sequence $(a_n)$" such that $(a_n f_n)$ converges to zeero pointwise"
Jan
2
asked Upper bound of an analytic function (application of Pick's Lemma)
Jan
2
comment Functions of bounded variation on all $\mathbb{R}$
@DavideGiraudo, Could you please elaborate this one, I am having a hard time to follow this "Since for integers $M$ and $N$ we have $$\sum_{j=-N}^M |f(x+(j+1)h)-f(x+jh)|\leq T_F(-Mh,(N+2)h)\leq \sup_{a,b\in\mathbb R}T_F(a,b)$$"