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Attached are results I obtained in MAPLE 12.  Can anyone explain the contradiction?

In short, if I sum from n = 0 to some integer I get a FALSE when testing the equality, which is what I would EXPECT.  However, if I change the integer to a variable to represent that integer such as m--> the result is TRUE?

Note the change in the variable of beta to alpha inside the series expression within the parentheses.

regards

For L a given L-function (such as the Ramanujan-tau Dirichlet series) I would like to compute L(s) at 2.5*10^5 values of s equidistributed in a square region of the complex plane in a reasonably short time (meaning, say, less than an hour.) Is there a Maple function that will do this, either in the original software or available on the web?

Hi

I have used the series command to expand sin(x) as a Taylor series about x=0, as follows:

Hi,

I am trying to create a do loop to generate y values from a series of vectors containing the x's. In the end, I will be exporting this data to Excel, so I want to put it into a Vector.

My problem is that sometimes I have 11 x's and sometimes I only have 9 x's.

observed := rtable(1 .. 2, 1 .. 3)

for k from 1 to 2 do 

for j from 1 to 3 do 

observed[k][j] := evalf(subs(HK[1] = C1[k, 1...

In next procedure i calculated 1st derivative of H in y=0 via series approximation. And i see that some terms of series are missed. If i would raise second parameter to cnt+20 for FuncToSeries in GetLimitsArray it becomes better. But why it's not OK with even cnt+8? series_test.mw

Does anybody have such package that converts function in series of powseries package i.e. addable, substructuble and so on. And mayby with functionality of series itself i.e. remember asymptotic point for which O(x^n) was present as simple series returns. I think with such pakage limit in attach limit_test.mw

Besides of other things i should also analyze what happens with function at y=0. For now IntermediateCalc incapsulates limit but it too slow. What can you suggest better? Tried series but there is the problem that function is only defined at right of 0, there is no expansion in this case. See attach for deatails. main.mw

I have a piecewise function which I require to be transformed to a fourier series.

The function to be transformed is:

         velocity:=piecewise(t<=6, 3*sin(t*Pi/6), t>6, 0);

How can I change this to a fourier series in a simple manner.

Thanks for your advice.

How to expand a periodic function to form of fourier series

The periodic function such as

exp(lambda(exp(I*t)-1))

I have a equation which I want to solve with HPM method, it works this way that you put a series instead of the dependent variable, and make infinite linear differential equation out of your nonlinear, then after solving some of them that meet your accuracy and sum them, that makes the answer. Now I have many problems with this which I hope you may help me.

1. How can I programatically asssign result of a dsolve to the variable? for example when I have dsolve(diff(f(x...

What I mean is for example, the series

# 1-t+t^2-t^3+...;         -----------------------(1)

equals to

1/(1+t); # modulus of t < 1 --------------(2)

so given the terms in (1) above could maple deduce (2)  ?

Hey folks I'm doing a series expansion in terms of a small variable called e in my case. In this equation there is also a constant, alpha, that is of the same order as e. What I would like to do is expand this and if I expand it to say, order e, I would like not only e^2 terms to be ignored, but also e*alpha and alpha^2 terms. Is there a way to do this?

Hi,

I have the function:

restart: with(plots): with(OrthogonalExpansions): with(DiscreteTransforms):

f:=t->piecewise(t<0,0,t<1,t,t<2,2-t,0);

The Fourier coefficients a[0], a[i] and b[i] can be calculated by:

T:=2: Trig:=FourierSeries(f(t),t=0..T,n,'Coefficients');

a[0]:= op(1, Coefficients);a[i]:= op(1, op(2, Coefficients))[1];b[i]:= op(1, op(2, Coefficients))[2];

I want to calculate those coefficients a[0...

http://oeis.org/A049525

Does the series sum((-1)^floor(ln(n)^2)/n, n = 1 .. infinity) converge?