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Re: Mathematica Graphics
*To*: mathgroup at christensen.cybernetics.net
*Subject*: [mg1820] Re: Mathematica Graphics
*From*: kluge at seuss.cc.utexas.edu ()
*Date*: Thu, 3 Aug 1995 23:51:34 -0400
*Organization*: Computation Center, University of Texas
Jeff Benvenuti asks:
>1)I can't save Mathematica graphics in files properly in order to get
> them back afterwards on my HP screen.
There are a number of ways to do this, one of the easiest is to
use xv (a standard X utility) to grab a section of the screen (in this
case your Mathematica graphic) and save it as a gif or jpeg. An image
that is more useful for importing to many applicatins can be obtained
by issuing the mathematica command:
Display["!psfix -epsf > some_file.eps", some_mathematica_graphics_object]
for example:
In[1]:=
Plot[Sin[x],{x,0,2 Pi}]
In[2]:=
Display["!psfix -epsf > sin.eps", %1]
The eps file (sin.eps) can then be viewed with ghostscript, or utilized by
a text processor such as TeX.
>2)How can one Animate Graphics on a HP?,ie plot successively Mathematica
> images as in a movie?
The following is from a Mathematica graphics FAQ I am constructing at
http://www-math.cc.utexas.edu/math/Mathematica/graphics/ Of course
this is much clearer with the illustrations that are available at the
above www site.
-----------------------------------------------------------------------
Mathematica has a number of ways to generate animations. There are some
features which they all have in common. Animation in Mathematica is
accomplished by first generating a series of images, then displaying them
in rapid succession.
Let us start with the solution to a differential equation.
In[1]:=
Solution = DSolve[{ x''[t] + kd x'[t] + x[t] == 0,
x[0] == 10,
x'[0] == 0},
x[t], t]
Out[1]:=
2
((-kd - Sqrt[-4 + kd ]) t)/2) 5 kd
{{x[t] -> E^ (5 - --------------) +
2
Sqrt[-4 + kd ]
2
((-kd + Sqrt[-4 + kd ]) t)/2) 5 kd
E^ (5 + --------------)}}
2
Sqrt[-4 + kd ]
We now have an equation with two free parameters. This allows us to generate
a series of graphs of x vs t, each with a differing value of kd. We then
display those graphs as a movie. The first step is accomplished with:
In[2]:=
Table[Plot[x[t] /. Solution, {t,0,20},
PlotRange -> {-10, 10},
AxesLabel -> {Time, Amplitude}],
{kd, 0, 3, .08}];
This generates a long series of graphs. The PlotRange was specified explicitly
to maintain a constant verticle scale from frame to frame. To prepare this
series of frames to become a movie double-click on the second cell bracket,
the one that covers all the frames of the movie. This will colapse the frames
into a single cell.
To play such a colapsed set of frames as a movie, double click on the top
image. You will have to wait a bit for the movie to start, especially if
there are a large number of frames.
---------------------------------------------------------------------------
Alex Kluge
http://www-math.cc.utexas.edu/~kluge/
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