       Re: With[{software=Mathematica}, Frustration]

• To: mathgroup at smc.vnet.net
• Subject: [mg24385] Re: [mg24308] With[{software=Mathematica}, Frustration]
• From: AES <siegman at stanford.edu>
• Date: Wed, 12 Jul 2000 23:13:25 -0400 (EDT)
• Organization: Stanford University
• References: <vfca5.325\$f6.112205@ralph.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```In article <vfca5.325\$f6.112205 at ralph.vnet.net>, Wolf Hartmut
<hwolf at debis.com> wrote:

> In:= With[{a = 2, b = 3}, Evaluate[c]]
> Out= 6
>
> will do what you want! Why? What was meant saying by the quotations
> is that With gives a *textual* substitution for the given variables
> occuring in the *unevaluated* body.

Thanks for this reply, and others.  But, there is still frustration.

What I really want is as follows.  I'm entering a bunch of functional
relations like c = a b, using direct assignments (=, not :=) and being
careful not to give values to the independent variables like a and b as
I go along

At various points I'd like to print out numerical test values or  check
values of these functions, like for example

With[ {a=2, b=3},
Print["a = ",a,",  b = ",",  c =",c,",  Sin[c] = ",Sin[c] ] ]

just to check what some typical values might be, or to check that the
results are reasonable.

Challenges:

1) Try wrapping the "Print" statement, or the "c" value, or the
"Sin[c]", or various combinations of these, within Evaluate[]'s -- **and
then try predicting in advance, based on your knowledge of Mathematica, what
these different combinations will do**.

2)  Find *any* combination of With, Print and Evaluate that will
accomplish the elementary "print a trial result" task that's wanted
above.  (I haven't found one yet.).

3)  Finally, reconsider your explanation of *textual* substitution.
With[ ] will "textually substitute" within the Evaluated form of c --
but not in the "a =" strings -- which are expressions -- and hence
should be "variables" in a sense..  Try, for example

With[{a=2}, Evaluate[{"a = ",a}]

What gets "textually substituted"? -- what's Mathematica "code"? (see
the Book) -- in this case, and what isn't?

```

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