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Re: A set of several questions
*To*: mathgroup at smc.vnet.net
*Subject*: [mg90120] Re: A set of several questions
*From*: David Bailey <dave at Remove_Thisdbailey.co.uk>
*Date*: Sun, 29 Jun 2008 05:37:41 -0400 (EDT)
*References*: <g451va$pq7$1@smc.vnet.net>
Aaron Fude wrote:
> Hi,
>
> 1. How does one switch between windows within Mathematica. Ctrl-Tab
> does not seem to work.
>
> 2. When I use the ContourPlot, I am not able add Text outside of the
> plot area by doing Show[plot, text]. The text simply doesn't show up.
>
> 3. How does one add a common legend for plots in a GraphicsGrid?
>
> 4. I'm trying to master the Mathematica documentation, but I am still
> at a loss as to where some of the options are hiding. For example,
> Ticks is an option under Plot, but it is nowhere to be found under the
> documentation for Plot. OK, with "Ticks" I guessed to search for
> "Ticks", but with another option I may not be so lucky.
>
> 5. Does Mathematica have something equivalent to structures. Suppose I
> have an project with twenty parameters and part of the project is a
> function f(x) that, of course, depends on those parameters. Ideally,
> I'd like to write something along the lines of:
>
> f[s_, x_]:= Integrate[Sin[y], {y, s.a,s.b}] + Cos[s.H1 + s.H2] + x +
> s.H + s.d*s.e
>
> as opposed to
>
> f[a_, b_, c_, d_, e_, H1_, H2_, x_] := ...
>
> I guess I could use a list "s" and access it by saying s[[H1]] where
> H1=6, but is there a better solution?
>
> Many thanks in advance!
>
>
> Aaron
>
Let me concentrate on question 5. One way to effectively obtain the
functionality of structures, is to pick a head that has no meaning and
use it to make a structure:
myStruct[a,b,4,e]
Such an object could be passed to a function defined as:
f[s_,x_]:= .......
or, preferably
f[s_myStruct,x_]:= .............
The latter form will only accept a myStruct object as its first
argument, and is thus preferable.
To extract the fourth item of the structure (say), you could write
Extract[s,4].
Of course, this is a little ugly, so you might prefer to write an
extraction function with an informative name to do this job:
transistorGain[s_myStruct]:=Extract[s,4]
Many people just use lists as their structures, but this can become
confusing a in a large project.
David Bailey
http://www.dbaileyconsultancy.co.uk
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