Evaluate, Replace, and Hold
- To: mathgroup at smc.vnet.net
- Subject: [mg77118] Evaluate, Replace, and Hold
- From: grenander at gmail.com
- Date: Mon, 4 Jun 2007 03:49:10 -0400 (EDT)
This is a newbie question. I have a parametric form of a model and I
would like to evaluate it with different parameters on a list of
values.
model = a x + b;
Different sets of parameters:
p1 = {a->1, b->0};
p2 = {a->1, b->1};
x for which I'd like to evaluate the model:
pts = Range[10];
I would like to define a function to evaluate the model at pts using
any of the sets of paramters:
f[pts, p1]
f[pts, p2]
I would also like it to work for single points:
f[1, p1]
f[2, p1]
I've tried various forms for a function definition that dont work. I
can do the following for a particular set of parameters:
Function[{x}, Evaluate[model /. p1]] /@ pts
but how can I turn it into a function of also the parameters. The
below doesn't work, for example:
f[pts_, p_]:=Function[{x}, Evaluate[model /. p] ] /@ pts
What I know is from descending the documentation tree (v6.0) starting
from the examples in FindFit. I have a fundamental misunderstanding of
replacement rules and delayed evaluation.
Thanks.