ok I am starting to get it,,but what's happens if its a double pole.Do you work out the residues for both functions and multiply the 2 residues together or does it depend eg Gamma[s]Zeta[1-s] so the pole would be at 0.
Since the Gamma fn and the Zeta are multiplied together you multiply the...
Hey
Is there a method in calculating the residues.
Getting the poles is easy but i really don't know how my lecturer gets the residues
eg. 1/2(Zeta[s]*Gamma[s/2]
where at s = 1 it is Sqrt[Pi]/2 etc
how does he do it?
Need help with a complex inequality??
hey!
i been trying to do this inequality for a 2 hrs now and can't seem to prove it
|\frac{1}{2}(a+b)|^p \leq \frac{1}{2}(|a|^p+|b|^p) where a,b are complex numbers
Can anyone suggest a way??
thanks
I figured that we have to use complex numbers but we weren't told a method how to factorise complex polynomials with say n degree.Can you tell me a method of how to factorize a complex polynomial??
You mentioned that the quote above is the theorema egregium of Algebra which I am having...
Do you know the name of it because of never heard of it.I wouldn't know where to start.If i have the name i can probably do some research on it and continue from there maybe
I don't see where you going.The roots you can get from the product..do want me to replace z with \cos\theta+i\sin\theta
hmmm...with the
LHS = (\cos\theta+i\sin\theta)^{n+1}-1=(\cos(n+1)\theta+i\sin(n+1)\theta)-1
and RHS =...
sorry!yes i was missing something in the original equation.So it suppose to look like this
(z^(n+1))-1 = Product[(z-exp[2*Pi*i*(j+1)/(n+1)]) , 0<=j<=n]
where
Product[(z-exp[2*Pi*i*(j+1)/(n+1)]) , 0<=j<=n] = (z-exp[2*Pi*i*(0+1)/(n+1)]*(z-exp[2*Pi*i*(1+1)/(n+1)]*...*(z-exp[2*Pi*i*(n+1)/(n+1)]...
Hey!I have a tut question and I am having problems proving
(z^(n+1))-1 = (z-exp[2*Pi*i*(j+1)/(n+1)]) where 0<=j<=n
I tried doing it by induction which is easy for the 1st case with n = 1,I assume the case n-1 but then i get stuck with the last case.
How will i know that all the z's with...
btw can you recommend a combinatorics book because he's notes help only a lil plus sometimes he doesn't explain himself properly(by the way we don't have a prescribed textbook) so anything we would be appreciated...
Sorrie haven't replied for a while been kinda busy and sorrie again i thought there was a method because in our notes(which doesn't really help much) he has an example
Suppose choose 25 objects from 7 types of objects s.t. every type of object appears at least twice and at most 6 times..
he...
i need help with combinatorics...i need to finda ogf to compute the how many ways can 27 identical walls be distributed into 7 boxes, where the first box can contain at most 9 balls
How do this??can you give me a method or explain to me how to do this step by step PLEASE!
sAint
How do you do a combinatorial proof?
hey ppl!
Im having a hard time trying to do a combinatorial proof!
How do you start?
WHat do you look at??
A general method would really help!
Thanx
SAint_n
i was thinking of approximating
\int\frac{sinx}{x}dx\
by changing it into an alternating series where
T(n) = \mid\int\frac{sinx}{x}dx\mid where n = 1... infinity
and waz even thinking of using complex analysis to integrate it and we see when i get through it but I am also trying to...
sorry!
i forgot to mention it.
But looks like everyone got the idea that it was (0,infinity) which it what i wanted.
Found out that the method i mentioned before...
i did a stupid thing by turning the minus to plus, DOPE!thanx
writing T(n) = \mid\int\frac{sinx}{x}dx\mid
Can u write sinx as a power series
then dividing by x
and integrating it
then you get T(n)
so T(n) = x + (x^3)/(3!3) + (x^5)/(5!5) + ... since i made my interval
( (n-1)\pi , n\pi)
Why am i getting
t(n) > t(n-1)
What am i doing wrong??Can it...
integral of sinx/x exists?
#1
saint_n
Registered User
Join Date: Apr 2004
Posts: 3 integrating sinx/x between (0,infinty)?
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hey ppl!
Can you help me by giving me a method or how you would go...
integrating sinx/x between (0,infinty)?
hey ppl!
Can you help me by giving me a method or how you would go around to prove that this
\mid\int\frac{sinx}{x}dx\mid
exists.
Thanx
Saint_n
How will you do
\int\frac{sinx}{x}dx
from zero to infinity.
Which can be written as a alternating series
T subscript n =\mid\int\frac{sinx}{x}dx\mid over intervals ((n-1)\pi,n\pi)
but how do show as n tends to infinity that T(n) tends to 0?
cos i can't integrate it
limits..proving they exist?
Wot do u have to do to prove that an intergral exists.?? I know how to do it if the integrals bounds are given ( example, [a,b]) but wot if the integral is from x till infinity??