Anurag Kalia
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 Sep27 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. Sep6 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? Sep6 comment Fixed-Point Iteration method unable to converge to any of a function's infinte roots @Amzoti Thanks! Sep6 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. Sep6 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. Jan17 comment Volume between two paraboloids Try curve tracing to visualize the problem in 3D. Dec5 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! Aug28 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! Aug24 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. :-) Aug8 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? Aug8 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. Aug8 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?