195 reputation
10
bio website inchunksandbits.wordpress.com
location New Delhi, India
age 21
visits member for 2 years, 6 months
seen Oct 10 at 8:02

Since this is an introduction that spans the entirety of the Stack Exchange network, I would just like to say... I love them all!


Sep
27
comment Divisibility of multinomial by a prime number
I especially like the alternative approach. It suits my application computationally if I store values for $v_p(n!)$ in a cache.
Sep
6
comment Fixed-Point Iteration method unable to converge to any of a function's infinte roots
@Amzoti I have answered my own question because it seemed satisfactory enough to me. Please check it if there are any discrepancies in the answer; I can't seem to find one. Also: what is the protocol regarding answering your own question?
Sep
6
comment Fixed-Point Iteration method unable to converge to any of a function's infinte roots
@Amzoti Thanks!
Sep
6
comment Fixed-Point Iteration method unable to converge to any of a function's infinte roots
@Amzoti Thanks for the reference and the tip; I have blindly used the method till now. But the fact remains this is a homework queston where the function and the method are pre-specified. Still, plotting another function g(x) = (sin(x) + 1)/(sin(x) - 1) on the graph is yielding me infinite roots as promised by the original equation. I am still working on its solution, but the fact remains I still don't know why my original method failed.
Sep
6
comment Fixed-Point Iteration method unable to converge to any of a function's infinte roots
@copper.hat I meant fixed-point iteration method. Sorry for confusion; I have updated the post accordingly.
Jan
17
comment Volume between two paraboloids
Try curve tracing to visualize the problem in 3D.
Dec
5
comment How can I introduce complex numbers to precalculus students?
I always imagine complex numbers as a plane, only with one axis as the imaginary numbers. I thought it was the only way to do it, really!
Aug
28
comment Number of points at which a tangent touches a curve
@RobertIsrael - He said it exactly like I said. Maybe he didn't want me to get into detail - I'll give him benefit of doubt since he was at the end correct. Plus, he is otherwise an excelent teacher!
Aug
24
comment Number of points at which a tangent touches a curve
This seems intriguing, and though I don't understand bits of it right now, I would have just have to study more. Thanks for your answer. I was expecting something of this kind from this site. :-)
Aug
8
comment What are the points of discontinuity of $\tan x$?
So you are saying any discreet function is continuous? That is logical if one comes to think about it. Plus, I am sorry I couldn't get the part of essential discontinuity. What does the notation D-dash mean?
Aug
8
comment What are the points of discontinuity of $\tan x$?
Actually, the definition in any textbook I referred to give the definition of points of continuity only. They are dead silent when talking about discontinuity, whether f(c) needs to be defined or not adding to the confusion.
Aug
8
comment What are the points of discontinuity of $\tan x$?
I read about the extended real line in calculus as $\mathbb R \bigcup \infty$. That is, they treat $\infty$ and $-\infty$ as the same. How can they be same? There is at least a minus sign as a point of difference between the two. Wikipedia on compactification asks to treat real line as a circle where its open ends meet at $\infty$. Yet real line is infinite in length! Do we treat the radius of this circle to be infinite too? Isn't it just more practical to add two points, $+\infty$ and $-\infty$ to real line, and more intuitive too?