Recent content by remaan

Ok. now suppose I found the two numbers - are there any hints of how to prove them ?

Mmm... Ya But the problem with that is: Knowing how long bread I have Doesn't solve the problem, since I Am not Able to break the breads apart. So, any extra hints ??

Hard problem - dividing the subs ! Homework Statement Anupam brought n > 0 subs, one each of length 1; 2; 3;... ; n, to a grading party. The three TAs distributed the subs among themselves such that no sub was broken, and each TA ended up with an equal total length. For what values of n...

For the method you suggested, I think that I will use some thing like : ∇f(P) = λ ∇g(P). However, I am not sure about the f and g. should f be 1-xi/1+xi and what about g ? should I choose λ to be 1/3 ? ** I can't really see how does n comes into this formula ?? ??

Thanks all for your great effort trying to make me progress with this problem. The last thing I got after visiting my prof. is that the least value is 1/3 and I have to show that this is true. ** Do you think using using a counter example method would be a good choice ?

** It gets a little complicated when I tried to extract it -

I don't think that n is a varible, But rather n is the number of fractions that we multiply together each time. so if we started with n =1 we'll get some thing like : (1/1+x) - ( x/1+x) So if n = 2 we will have the same quantity but multiplied by itself one more time and if n = 3 it's...

Sorry, but I am not sure I get what you mean by : "consider the case x_i = 1/2n for insight on the impact of n" In other words, how did you conclude that x_i = 1/2n ?

Thanks a lot - I am now done with this problem :)

Yes, I will try these suggestions -

Finding the least value - Help Please ! Homework Statement In this problem, we are required to find the smallest possible value for the product : ∏ (i=1,n) (1-xi)/(1+xi) Given that : x1, x2, ...,xn are non-negative Real numbers and their sum is 1/2. . The attempt at a solution...

But what about using the tree approach or the enrolling to figure out the limits ?

but when we do the limited integrals, we define the limits, however, here there isn't any limit, so how would I start ?? Any extra hint ?

Hello I think that after plugging numbers, we can see that this is a harmonic series and therefore what we are about to do is finding these bounds for the harmonic series. What do you think ? Any hints ??

Greetings, So the final thing I got is : (Fn)^2 + Fn+1 (Fn - Fn+1) Now how to precede to get what you've mentioned ?