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Iterated / Range Variable Product

MikeArmstrong
5-Regular Member

Iterated / Range Variable Product

Has anybody used this feature in Mathcad and found a valid application for it.



7 REPLIES 7

On 2/24/2009 8:18:20 AM, Armo wrote:
>>Has anybody used this feature in Mathcad and found a valid application for it.

Yes. Any product of a series (see http://en.wikipedia.org/wiki/Multiplication#Capital_pi_notation )

Number theory and probability are a coupole of areas where products turn up.

I use the operator in my Multi-Dimensional Array (MDA) library to calculate the number of elements in an MDA.

Stuart

On 2/24/2009 8:18:20 AM, Armo wrote:
>Has anybody used this feature
>in Mathcad and found a valid
>application for it.
>____________________________

There are plenty of them in this collab. It would take a day or more to collect items bearing "Iterated". Your definition is to vague for an appropriate answer. But you can refer to the original real meaning of the "Iterated Product". The "Iterated Product" is the exact Lagrange representation of polynomials a0 + a1*x + a2*x� .... x need not be integer, but can be fractional.

Iterative methods will produce: fractals, biomorphs ...
Then there is recursive. Try factorial three from Stuart



jmG



jmG

On 2/24/2009 9:03:44 AM, jmG wrote:
...
>Iterative methods will produce:
>fractals, biomorphs ...
>Then there is recursive. Try factorial
>three from Stuart

Sorry for the off topic and silly question...

Can you tell me how do you insert a graph in the body of message so you don't have to open the file to see it?

Al

Like this:

jmG

On 2/24/2009 8:18:20 AM, Armo wrote:
>Has anybody used this feature
>in Mathcad and found a valid
>application for it.
>
>
>

Why do you ask? It just happens to be one of the cornerstones of this program.

TTFN,
Eden

On 2/24/2009 8:18:20 AM, Armo wrote:
>Has anybody used this feature
>in Mathcad and found a valid
>application for it.
>____________________________

One more application.

jmG



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