I was asked to prove, every punctured open set in R^2 is path connected.
My argument : take points x and y. let z be the point we've taken off from U (open).
if x, y,z do not pass through a staright line, we have a segment between a and y.
Now if the 3, i.e. x,y,z lie on a straight...
We had a series of 4 lectures by Prof. Langlands as well(possibly, he's touring India)...the topic being "Probabilistic Statistical Mechanics".
I just went there to get a glimpse of the legend( I attended only the first one)...
I meant f(x) is that expression and not (f(x))^-1.
But well...I just got to know that the problem can be solved not using ordinary generating functions but will require "something" called exponential generating functions.
Can Someone here please give me a motivation for the concept of...
We are about to begin this topic soon in class...
I'd like to know all about generating functions and their application. I tried reading it up...One thing I'd like to know is, once you have a generating function...then what? You get some information...but what is it?
I tried to find no. of...
Hello...I need help and I know this is a very simple problem...I don't know why I'm getting stuck( Maybe because it's past midnight here:frown: )
Assume that f is non-negative on (0,1) and the third derivative of f exists on (0,1).If f(x)=0 for at least 2 values of x in (0,1), show that there...
how do we get the inequality 1<= a1 <=.......<=a77 <= 132 ?? it hasn't been mentioned anywhere that the number of games played keeps increasing with each passing day, has it??
The reason I decided to post my queries out here is simple:I believe that ideas of PF members,by and large,represent the ideas of the world. :smile:
I've been learning indian classical music for about 12 years now...have lots of friends who're equally passionate about music.I guess...