Items tagged with sum sum Tagged Items Feed

Hi,

Maybe someone can give me a nice answer without Maple.

I am given a fourier series:
ln|cosx|=Co - sum( (-1)^k/k * cos2kx,k=1..infinity)
and am asked what this tells me about the chevychev series for ln(u).

 

Thanks

Hi,

I have

Let

A:= sum(a[n]*phi(n)+b[n+1]*phi(n+2),n=0..N);

Please, I need to write this sum, using only phi(n), how can I use maple to get the solution.

Thank you very much for any idea.

 

 

 

 

 

 

 

f:=C->sum(x[cat(new,c)],c=1..C);

f(4) # does not give me what i want , which is

x[cat(new,1)]+x[cat(new,2)]+x[cat(new,3)]+x[cat(new,4)];

 

seq(x[cat(new,c)],c=1..4);
convert([%],`+`);

This works. But it's just a simple example to illustrate my problem.

 

Is there a way to fix this 'cat' problem in the procedure 'f'?

 

Thanks,

 

casper

restart:with(plots):

h3:=((1+lambda*m*x/a0+phi*((4/Pi*sum((-1)^(n+1)/(2*n-1)*cos(2*Pi*(2*n-1)*x),n=1..infinity)))));

q:=Q-1:

f:=sin(alpha)/E;

DP3:=Int(f-((q*(k+1)*(k+2))/((1-tau)^(k+1)*((h3^(k+2)))*(k+1+tau)))^(1/k),x=0..1);

E:=0.2:phi:=0.2:alpha:=0.1:k:=1:lambda:=0.1:a0:=0.5:m:=0.1:tau:=0.1:

plot((DP3),Q=0..1,axes=box,linestyle=1,color=[red]);

I am unable to plot DP3 vs Q, not only it take very long time but didn't give any output.

Please have a look.

 

Cheers!

 

 Calculus problem S(n)=1^2+3^2+5^2+...+(2n-1)^2 ?

Hello,

restart:

N := N0-(1/2)*sqrt(2)*sqrt(Pi*Kc/d)*(sum(erfc((1/2)*(L*n+x)/sqrt(d*t))+erfc((1/2)*((n+1)*L-x)/sqrt(d*t)),

n = 0 .. infinity));

N0:=0.2:L:=0.25:Kc:=2*10^(-12):t:=360000:d:=2.010619298*10^(-10):

When I plot N vs x = 0..0.25 then there is no issue

plot(N,x=0..0.25,axes=box);

but when try to use a loop to get the data, Maple cannot evaluate

for x from 0 to 0.25 by 0.01 do

N[x]:=evalf(N0-sqrt(Pi*Kc/(2*d))*sum(((((erfc((n*L+x)/(2*sqrt(d*t))))+erfc(((n+1)*L-x)/(2*sqrt(d*t))))),n=0..infinity)));
end do;

Thanks

  

Cumulative list...

January 11 2014 erik10 341

Dear Maple users

My question is probably simple, but I can't seem to figure out how to do it in a smart way way without using procedures: My task is to create a cumulative list from a list. Ex: From [3,-2,5,1,10,7] I want to create the list [3,1,6,7,17,24]. Every entrance in the new list is the sum of the previous ones including the actual entrance. The Statistics package contain a command named CumulativeSum, but unfortunately a list is not returned ... I hope someone can help doing it is a simple way.

Regards,

Erik

How can I show the expression of the following summation as the output, not 11?

3+7+1

 

Dears 

I want to sum some series by Maple and plotting. The problem is the sum of series are known like

serer.pdf

the problem is the difference between two graphs at the intersection x-axis and y-axis.

Is there any solution for this problem.

Amr

I've been given a question:

Let pn denote the nth prime number. Then p1 = 2, p2 = 3, p3 = 5, p4 = 7, p5 = 11, . . . .

It is known that the infinite sum 1/p1 + 1/p2 + 1/p3 + · · · + 1/pn + · · · = infinity.

Find the smallest positive integer N so that 1/p1 + 1/p2 +1/p3 + · · · + 1/pN−1 + 1/pN > e. [Hint : ithprime(n) generates the nth prime number.]

How do I start off?

Many thanks!

Would really appreciate the help in doing this question!

Pi= infinity Σ n=0 ((120n^2+An+B)/(16^n(512n^4+1024n^3+712n^2+194n+15))) for some positive integers A,B.

Hint: Set A=0 to find B, then find A.

I'm so clueless as to how to do this. THANK YOU!

Greetings to all.

Just a quick question, probably something obvious, please bear with me Your patience is appreciated.

 

As part of solving a posted problem at math.SE it became necessary for me to compute the bivariate generating function

sum(sum(binomial(2*q,n-1)*z^q/q!, q=0..infinity)*w^n,n=1..infinity)

The correct answer (in fact a simple computation) is

w exp(z(w+1)^2).

When asked to compute this sum with the command shown, Maple produces

hypergeom([], [], z) w

My question for you is, how does this represent the above answer that I computed manually? When I simplify the hypergeometric, Maple says

w exp(z)

which would appear to be the wrong value. Could someone enlighten me regarding this discrepancy?

BTW there seems to be no tag "hypergeometric" and I don't have enough points to create it.

Best regards, Marko Riedel

I've been having trouble plotting in polar coordinates. My code is included below:

The ouput prints the 10 terms of the sum but the plot does not produce anything.

I also would like to know a method that I could use to plot with a going from zero to the size of the radius.



Thank you for any help.

Summation issue...

October 23 2013 aaa333 20

I have a function d(x,y,z) that returns the appropriate standard basis vector in 8 dimensions, e.g. d(0,0,0) is the column vector <1,0,0,0,0,0,0,0> and d(0,1,0) is <0,0,1,0,0,0,0,0>. Now, to make a sum over all possible elements, I have tried a sum like this:
sum(sum(sum(a_(i,j,k)*d(i, j, k), k = 0 .. 1), j = 0 .. 1), i = 0 .. 1)

with a_(i,j,k) simply being some coefficient that I want to place in the appropriate position. Basically, I would like to get a column vector: <a_000, a_001, a_010, a_011, a_100, a_101, a_110, a_111>, but the result of the sum above is: <0, 0, 0, 0, 0, 0, 0, a_000 + a_001 + a_010 + a_011 + a_100 + a_101 + a_110 + a_111> instead.

This completely baffles me - it looks like the 'a' coefficients are given the correct indices, but d() is always called with d(1,1,1). Can anyone help? Thank you.

 

This is my question:

 

Given (1/6)*pi^2-(Sum(1/n^2, n = 1 .. N)) < 0.1e-2, how would would I find the smallest N such that the inequality holds?

 

I tried using solve command to no avail. Any suggestions?

1 2 3 4 5 6 7 Page 1 of 8