Re: ParametricPlot help please
- To: mathgroup at smc.vnet.net
- Subject: [mg17022] Re: [mg16997] ParametricPlot help please
- From: BobHanlon at aol.com
- Date: Wed, 14 Apr 1999 02:11:45 -0400
- Sender: owner-wri-mathgroup at wolfram.com
In a message dated 4/10/99 5:39:36 AM, robpeterson at iname.com writes:
>Some time ago several kind souls on this ng helped me do some conformal
>transformation plots (this one is part of the curves describing the fields
>in a parallel plate capacitor). We used a series of ParametricPlots.
>Now
>I would like to understand how this worked - maybe I can learn something
>about Mathematica. I think I get the use of Map[] but I am stuck on the
>use of
>ParametricPlot[#1,.....]. I have looked high and low and I do not find
>any
>mention of the #1 parameter. If I ever get thru this, I'll start trying
>to
>understand the Partition[Thread[].... ] part.
>
Rob,
See on-line help or manual for Slot and Function. # represents the first
argument supplied to a pure function and #n represents the n-th argument.
Consequently, # and #1 are the same. ## represents the sequence of all
arguments supplied.
f[#]& /@ {a, b, c, d}
{f[a], f[b], f[c], f[d]}
f[##, #2]& [x,y,z]
f[x, y, z, y]
#^2& /@ {a, b, c, d}
{a^2, b^2, c^2, d^2}
You can also use parts of arguments
f[#[[1]], #[[2]]]& /@ {{a,b}, {c,d}}
{f[a, b], f[c, d]}
Bob Hanlon