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Function SUM

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Function SUM Empty Function SUM

Post  JCAvella Fri Sep 05, 2008 10:33 am

Hello,

I'have just begin testing this application, which looks great. But i got a question before buying the full version :

Is it possible to draw a 3d graph with with a SUM function, like

Z(X,Y) = SUM (from i=1 to X) of F(Y)
Where X is an integer
F(Y) = 1/(1+Y)^i

If not possible, do you have any idea where i could find an application able to do that?

Thx a lot

JCAvella
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Function SUM Empty Re: Function SUM

Post  runiter Fri Sep 05, 2008 5:46 pm

It is certainly possible to do SUM with this software Smile

Are you familiar with concept of recursive calls? Smart Math Calculator supports recursive calls and SUM is a special case of a recursive call. For example the Z(X,Y) = SUM (from i=1 to X) of 1/(1+Y)^i can be represented by:

Z(X,Y)=1/(1+Y)^X+Z(X-1,Y) for as long as X is more than or equals to 1. I attached a screen shot of the complete set of expressions that address your question here:

Function SUM Sum11

I'm also displaying the Z(3,2) which is SUM (from i=1 to 3) of 1/(1+3)^i
which is
1/(1+2)^1+1/(1+2)^2+1/(1+2)^3 = 0.4815

As you can see the program also calculates the Z(3,2) to be 0.4815

Is this what you wanted?
Also let me know if this way is too complicated. We could create a simple SUM function for the next version.

cheers,
Saeid
runiter
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Function SUM Empty Re: Function SUM

Post  runiter Fri Sep 05, 2008 5:54 pm

I showed you how to compute it using Smart Math Calculator, now here is the plotted graph in Graphing Calculator 3D:

Function SUM Sum-gr10

Let me know if this the graph that you expected.
runiter
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Function SUM Empty Re: Function SUM

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