Some questions regarding loops and lists.

• To: mathgroup at smc.vnet.net
• Subject: [mg67202] Some questions regarding loops and lists.
• From: "Eric" <thelonias at wildox.net>
• Date: Sun, 11 Jun 2006 23:08:21 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Hello there,

*I tried to post this initial with an attachment but I have not seen the
post come through, if this turns out to be a duplicate please accept my
apologies.  I am not attaching the file to this post.*

I have some questions regarding multiple processing of information. I think
something like a loop to list would work but I have been unable to make do
so.

The first question is regarding algorithm processing for multiple instances
of the same form.  For example:
solution[n_] function is created where n_ represents the number of terms in
the series-- this is not constant, but it does increase.  The following
steps occur for each usage of the function:
1. Assignment to variable function for plotting purposes. Variable changes
due to number of terms in each series.
2. Plotting the function. ( I guess this is only a visual reassurance to
keep a handle upon the validity of the findroot command.)
3. using the findroot command to provide the lowest zero of the function.

Presently this is done for each variable function (35 presently) by hand. Is
there a way to automate this process successfully?

The second question is regarding list appending.  There is a set of values
calculated which are then placed into a data table. This table is then used
to create a list, and from this list a new list is created for graphing
purposes. The new list contains two values in each element (x,y), instead of
the one it was initially created with. The new value entered is in the
position of x; it is entered by hand and is simply the original set of
values which were calculated.  Ideally, I would think there was a way to
simply place the variables initially calculated into a two dimensional list,
use the first dimension (the only one with a value initially) to calculate
the second dimension elements, and then use that list for plotting purposes.
I hope that gives an idea as to what I am trying to accomplish.

Thanks a lot,

Eric

--I would be happy to send the file I tried to post initially if it is
needed.

```

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