Hi there,

I am got the two two ( identical ? ) summation .

f:=x->1;

b[n]:=2/Pi*int(f(x)*sin(n*x),x=0..Pi);

S:= N-> sum(b[n]*sin(n*x),n=1..N) ;

T:= N-> 4/Pi*sum(sin((2*n-1)*x)/(2*n-1),n=1..N);

I think S and T should be the same since it's just a substition of 2n-1 difference

however when I plot

 

Hi there,

 

I have computed the odd extension for f(x)=1 on 0 < x < Pi which is

> 4/Pi*Sum((sin(2*n-1)*x)/(2*n-1),n=1..infity);

 

how do I get a sketch of it?

 

Thanks

Hi there,

I typed exactly the same thing from my lecture notes to reproduce some graphs in Maple Classical Worksheet

however result in 'empty plots'

Is it that I have to load some packages using 'with( XXX )'?
 

Can someone help me with that?

 

Thanks

 

Download 7845_Coursework Maple.mws
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Hi there, in this post http://www.mapleprimes.com/forum/howplot1 I asked one plotting question when Y[1] and Y[2] are independent what if they are not independnt? say I have f( y1, y2) for Y[1] in [a,b] and Y[2] in[c,d] then I have U[1] = f ( Y[1], Y[2] ) and U[2] f ( Y[1], Y[2] ) (different functions of Y[1] and Y[2]) How do I plot the mapping for U[1] and U[2]? to determine the range for u1 and u2? Thanks Casper =============================

Hi there, here are the commands: > y[1]:=exp(1)^(-(1/2)*(u[1]^2+u[2]^2)); > y[2]:=arctan(u[2]/u[1])/(2*Pi); > a:=diff(y[1],u[1]);b:=diff(y[1],u[2]);c:=diff(y[2],u[1]);d:=diff(y[2],u[2]); then it begins > a*d-c*b; g:=abs(simplify(%)); i got the funny "Re" thing in the expression why it didnt give me the answer as I would expected if I use the following command? > a*d-c*b; g:=-1*simplify(%); that's what I wanted the idea is I want the absolute value of the simplified answer ( simpify(%)) what's the difference here?