## 564 Reputation

17 years, 34 days

## n-dimensional sums ?...

Maple

I want to do a very high-dimensional sum.

Particularly, this sum, where each of those indices can be either 0 or 1:

http://scienide2.uwaterloo.ca/~ndattani/temp/template.pdf

I started doing something like:

sum(sum(sum(sum(R,a[0]=0..1),b[0]=0..1),a[1]=0..1]),b[1]=0..1)

But it seems that there must be a better way (one in which I can genarlize to n dimersions). Is such a thing possible in maple ??

## combine integration and interpolation ??...

Maple

If I do:

with(CurveFitting):

xydata:=[[0,1],[1,5],[3,9]]:

RationalInterpolation(xydata,x);

I get a rational funciton that goes through those points.

What I want to do is interpolate the following function of x:

evalf(int(exp(-a^2 + x),a=0..5);

xydata:=[[0,1],[1,5],[3,9]]:

I have something like:

## Maple analog to Mathematica's Manipulate...

Maple

In mathematica when I type:

Manipulate[Plot[Sin[c*x], {x, 0, 10}], {c, 1, 5}]

I get a 2D plot of sin(c*x) for x between 0 and 10, with c =1.

Then with the mouse I can drag a bar which will show what happens when c changes between 1 and 5. I can drag that bar to the particular c value for which the plot looks the way I want.

In Sage this can be done using the @interact command.

Is there an analog for this sort of thing in Maple ??

Thanks a lot!

## verify doesn't work for trig ?...

Maple

Hello,

does the verify command not work for trig functions ??

verify(sin(x)/cos(x),tan(x),'equal')

gives 'FAIL' rather than 'true'

Is there a function for checking whether or not the LHS and RHS of my trig identity match ??

## expand trig formulas...

Maple

I couldn't find a clean expression for cos(x/3) in terms of cos(x) on the web,

is it possible to force maple to expand such a thing in terms of cos(x) ??

I've tried basic things like simply(cos(x/3)), and expand(cos(x/3)) , but it seems like Maple won't know what to do (there's an infinite number of choices here) if I don't TELL it to write it in terms of cos(x) somehow.

Is there a way to do such a thing??

many thanks.

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