A. The Basic Mathematica Interface.
Example A.1: Standard Text Output.
Requests for simulation that do not contain any plotting command result in normal text
output. This short sequence of commands illustrates a few of Mathematica's
algebraic manipulation functions, and demonstrates the formatting
of the algebraic results. Note that WebMath's "Standard Mathematica Output" display
mode is selected.
-6 - 2 Sqrt[21] -6 + 2 Sqrt[21]
{{x -> 0}, {x -> ---------------}, {x -> ---------------}}
2 2
{{x -> 0}, {x -> -3 - Sqrt[21]}, {x -> -3 + Sqrt[21]}}
| Processed by Mathematica version 2.2 running
on a UNIX platform. |
| This script was developed at the Center for Computational
Electromagnetics (CCEM) - University of Illinois at Urbana with funding
from the Sloan Center for Asynchronous Learning Environments(SCALE) |
Example A.2: Standard Graphical Output.
Command sequences that result in charts or other graphical objects have
output rendered in GIF format by default. The following request results
in Sin(x) being plotted over a single period, produced in GIF format. Again,
the "Standard Mathematica Output" display mode has been chosen since only
text and static two-dimensional plots are being requested.
| Processed by Mathematica version 2.2 running
on a UNIX platform. |
| This script was developed at the Center for Computational
Electromagnetics (CCEM) - University of Illinois at Urbana with funding
from the Sloan Center for Asynchronous Learning Environments(SCALE) |
Example A.3: Animated Graphical Output.
When plots are produced in an unbroken sequence, they can be animated and
saved in MPEG format along with or completely replacing the corresponding
static images.
The code in the next section along with the selction of the "Movies Only" display mode
results in the following 10 frame MPEG formatted animation.
(Click on the graph to download an mpeg movie)
| Processed by Mathematica version 2.2 running
on a UNIX platform. |
| This script was developed at the Center for Computational
Electromagnetics (CCEM) - University of Illinois at Urbana with funding
from the Sloan Center for Asynchronous Learning Environments(SCALE) |
Example A.4: VRML Model Output.
VRML models can be rendered when three-dimensional images are encountered.
The output page contains a link to the VRML object directly preceding the corresponding
static image. These objects require a VRML viewer.
The viewer that has been found to be the best in
terms full color output, ease of use and cross platform availability is
"VRWEB," which can be downloaded from the VRML
Repository. Note that "VRML and Images" is selected as the display
option.
rendition of:
| Processed by Mathematica version 2.2 running
on a UNIX platform. |
| This script was developed at the Center for Computational
Electromagnetics (CCEM) - University of Illinois at Urbana with funding
from the Sloan Center for Asynchronous Learning Environments(SCALE) |
Example A.5: Job Submission.
Some tasks, even those generated by only a few lines of code, may require extensive CPU time.
The following demonstrates the use of WebMath's job submission feature
which allows the user to execute codes demanding significant CPU resources,
without having to wait for results.
Submission
To submit a job for background processing by WebMath, input commands are specified and
a job title is provided indicating that this submission should
be run in the noninteractive mode. The following short set of command creates a
large MPEG encoded animation consisting of 100 frames.
| This script was developed at the Center for Computational
Electromagnetics (CCEM) - University of Illinois at Urbana with funding
from the Sloan Center for Asynchronous Learning Environments(SCALE) |
Submission Verification
When a job title (and optionally an e-mail address and /or a description
of the job) is provided. The following message is posted immediately to
indicate that the input has been properly received and that the processes
requested are commencing. Since this screen originates from WebMath, it will
continue to load until the job is complete which provides and alternative indication
of job completion.
| WinWebMath -- |
| Your job has been successfully submitted and is underway.
When it is completed it will be added to the completed jobs list:
Completed
Jobs
If you had errors in your code the results will still be posted so please
contact us to remove that job (you can use the Mail button at the bottom
of this page). |
![[HOME]](IMAGES/HOME.GIF) |
 |
This page will continue to load until your job is complete,feel free
to stop loading at any time.
|
| This script was developed at the Center
for Computational Electromagnetics (CCEM) - University of Illinois at Urbana
with funding from the Sloan Center for Asynchronous Learning Environments
(SCALE) |
Posted Results
The results from a job submitted in the noninteractive mode are posted
as individual web pages that are stored on the AWS until an administrator
removes them (using an automated job administration tool). They can be
found by browsing through the list of completed jobs or by going directly
to the results' URL given in the e-mail message sent to the user after the
requested output has been completely generated. The following illustrates
the format of a static results web page for the previously specified input.
In[1] :=
Needs["Graphics`Shapes`"];
Table[Show[
Graphics3D[{EdgeForm[Hue[Cos[r/10]^2]],Sphere[Sin[r]+2,30,30]},
FaceGrids->All],PlotRange->{{-3,3},{-3,3},{-3,3}},Axes->True,
ViewPoint->{Cos[r/4]+2,Sin[r/3]+2,2}],{r,0,25,.25}];
| Processed by Mathematica version 2.2 running
on a UNIX platform. |
| This script was developed at the Center for Computational
Electromagnetics (CCEM) - University of Illinois at Urbana with funding
from the Sloan Center for Asynchronous Learning Environments(SCALE) |
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