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Previous: Acknowledgements
=1cm=1
Braun, R. 1993, VLA Scientific Memorandum No. 165: Telescope
Placement at the VLA for Better Single Configuration Imaging.
=1cm=1
Briggs, D. 1995, Ph.D. thesis (NMIMT): High Fidelity Deconvolution
of Moderately Resolved Sources.
=1cm=1
Cornwell, T.J., Holdaway, M.A., and Uson, J.M. 1993, AA 271,
697-713.
=1cm=1
Holdaway, M.A. 1994, VLA Scientific Memorandum No. 167: Evaluation
of C Array Single Configuration Imaging.
=1cm=1
Rupen, M.P. 1997, VLA Scientific Memorandum No. 172: A
Test of the CS (Shortened C) Configuration.
Figure:
The inner VLA stations (
).
Those occupied in C configuration are
enclosed by circles; the additional stations occupied in the 1997 CS
configuration (at the expense of E12 and W12) are shown boxed,
|
Figure:
: UV coverage (
) at 1.42 GHz
for HA=
,
for C (upper left), CS (upper right), C-2 (lower left), and CS-2
(lower right) configurations.
A point is plotted every 5.5 minutes.
|
Figure:
Beams with IMAGR's robust=0, for a source at
observed at 1.42 GHz, with HA=
hours.
Upper left: C configuration, min/max sidelobe=
/
.
Upper right: CS, min/max=
/
.
Lower left: C-2, min/max=
/
.
Lower right: CS-2, min/max=
/
.
Figure:
: UV coverage (
) at 1.42 GHz.
Upper row: HA=
of A (left) and B (right) configurations;
lower row: HA=
of C-2 (left) and CS-2 (right)
configurations.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 3.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C;
upper right, CS with EW12 moved to EW3;
middle left, CS with EW10 moved to EW3;
middle right, CS with N10 moved to N1;
lower left, CS with W10 moved to W3;
lower right, CS with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
: UV coverage (
) at 1.42 GHz for a
source observed for HA=
. The configurations are:
upper left, C-2;
upper right, CS-2 with EW12 moved to EW3;
middle left, CS-2 with EW10 moved to EW3;
middle right, CS-2 with N10 moved to N1;
lower left, CS-2 with W10 moved to W3;
lower right, CS-2 with W10 moved to W1.
A point is plotted every 0.5 minutes.
Figure:
HA=
simulations: CLEANed images for sequence 2, Cas A
(
) with a total flux density of 1.605 Jy.
Upper left: C configuration (
);
upper right: CS (
);
lower left: C-2 (
);
lower right: CS-2 (
).
Contours are 10, 20, ..., 90, 99% of peak.
Figure:
HA=
simulations: difference images (simulation minus
truth) for sequence 2, Cas A (
) with a total flux density
of 1.605 Jy.
Upper left: C configuration (
);
upper right: CS (
);
lower left: C-2 (
);
lower right: CS-2 (
).
Contours are
,
=
, 3, 4, 5, 6, where
is
the off-source rms noise; greyscale range is 0 to 30
.
Figure:
HA=
simulations: CLEANed images for sequence 32, Cyg A
(
) with a total flux density of 3.526 Jy.
Upper left: C configuration (
);
upper right: CS (
);
lower left: C-2 (
);
lower right: CS-2 (
).
Contours are 10, 20, ..., 90, 99% of peak.
Figure:
HA=
simulations: difference images (simulation minus
truth) for sequence 32,
Cyg A (
) with a total flux density of 3.526 Jy.
Upper left: C configuration (
);
upper right: CS (
);
lower left: C-2 (
);
lower right: CS-2 (
).
Contours are
,
=
, 3, 4, 5, 6, where
is
the off-source rms noise; greyscale range is 0 to 30
.
Figure:
HA=
simulations: CLEANed images for sequence 2, Cas A
(
) with a total flux density of 1.605 Jy.
Upper left: C configuration (
);
upper right: CS (
);
lower left: C-2 (
);
lower right: CS-2 (
).
Contours are 10, 20, ..., 90, 99% of peak.
Figure:
HA=
simulations: difference images (simulation minus
truth) for sequence 2, Cas A (
) with a total flux density
of 1.605 Jy.
Upper left: C configuration (
);
upper right: CS (
);
lower left: C-2 (
);
lower right: CS-2 (
).
Contours are
,
=
, 3, 4, 5, 6, where
is
the off-source rms noise; greyscale range is 0 to 30
.
Figure:
HA=
simulations: CLEANed images for sequence 32, Cyg A
(
) with a total flux density of 3.526 Jy.
Upper left: C configuration (
);
upper right: CS (
);
lower left: C-2 (
);
lower right: CS-2 (
).
Contours are 10, 20, ..., 90, 99% of peak.
Figure:
Detailed quality measures for a simulated observation of Cas A
with HA=
of C configuration (seq. 2). The data were mapped and
deconvolved using IMAGR. The x-axis is the flux density
of the simulation, in units of Jy/beam (bottom axis) and
(top
axis).
Figure:
The measured off-source RMS noise as a function of peak flux
density. The two horizontal lines indicate the expected thermal noise in
the case of no signal: the lower shows that for the long observations
(HA=
,
), the upper, that for the
snapshots (HA=
,
).
Cas A simulations are represented by filled circles (C, CS) and 10-pointed
stars (C-2, CS-2); large Cyg A, by open boxes (C, CS) and
crosses (C-2, CS-2); medium Cyg A, by the larger filled triangles (C, CS)
and the larger inverted Y's (C-2, CS-2); small Cyg A, by the smaller filled
triangles (C, CS) and the smaller inverted Y's (C-2, CS-2).
Each point corresponds to a single simulation using IMAGR (CLEAN), before
any convolutions.
Figure:
The four `fidelity' measures plotted as a function of dynamic
range. The dashed line corresponds to
; note that, for
most of the simulations, the on-source fidelity is well below the dynamic
range.
Cas A simulations are represented by filled circles (C, CS) and 10-pointed
stars (C-2, CS-2); large Cyg A, by open boxes (C, CS) and
crosses (C-2, CS-2); medium Cyg A, by the larger filled triangles (C, CS)
and the larger inverted Y's (C-2, CS-2); small Cyg A, by the smaller filled
triangles (C, CS) and the smaller inverted Y's (C-2, CS-2).
Each point corresponds to a single simulation using IMAGR (CLEAN), before
any convolutions.
Figure:
The effect of losing two antennas: long observations
(HA=
). The ratios of the five quality measures for
pairs of simulations convolved to the same beam sizes are
shown.
Open circles represent C-2/C; 10-pointed stars, CS-2/CS;
open triangles, VCS-2/VC; inverted Y's, VCS-2/VCS.
The y-axis is logarithmic, with ticks corresponding to ...0.8, 0.9, 1.0,
2, 3, 5, ...; the horizontal line represents 1.0, so points lying above this line represent simulations which improved when two
antennas were dropped, while those below it got worse.
Note that some
and
points may lie outside the range displayed.
The x-axis shows the sequence numbers of the simulations (as defined in
the tables), with vertical lines splitting the sources up between
Cas A (seq. 1-6), the small Cyg A (11-14), the medium Cyg A (21-22),
and the large Cyg A (31-32).
Figure:
The effect of losing two antennas: snapshot observations
(HA=
). The ratios of the five quality measures for
pairs of simulations convolved to the same beam sizes are
shown.
Open circles represent C-2/C; 10-pointed stars, CS-2/CS;
open triangles, VCS-2/VC; inverted Y's, VCS-2/VCS. (The `V' denotes
VTESS simulations.)
The y-axis is logarithmic, with ticks corresponding to ...0.8, 0.9, 1.0,
2, 3, 5, ...; the horizontal line represents 1.0, so points lying above this line represent simulations which improved when two
antennas were dropped, while those below it got worse.
Note that some
and
points may lie outside the range displayed.
The x-axis shows the sequence numbers of the simulations (as defined in
the tables), with vertical lines splitting the sources up between
Cas A (seq. 1-6), the small Cyg A (11-14), the medium Cyg A (21-22),
and the large Cyg A (31-32).
Figure:
CS vs. C configuration: long observations
(HA=
). The ratios of the five quality measures for
pairs of simulations convolved to the same beam sizes are
shown.
Open circles represent CS/C; 10-pointed stars, CS-2/C-2;
open triangles, VCS/VC; inverted Y's, VCS-2/VC-2. (The `V' denotes
VTESS simulations.)
The y-axis is logarithmic, with ticks corresponding to ...0.8, 0.9, 1.0,
2, 3, 5, ...; the horizontal line represents 1.0, so points lying above this line represent images which are better mapped with CS
than with C, while those below are better mapped with C configuration.
Note that some
and
points may lie outside the range displayed.
The x-axis shows the sequence numbers of the simulations (as defined in
the tables), with vertical lines splitting the sources up between
Cas A (seq. 1-6), the small Cyg A (11-14), the medium Cyg A (21-22),
and the large Cyg A (31-32).
Figure:
CS vs. C configuration: snapshot observations
(HA=
). The ratios of the five quality measures for
pairs of simulations convolved to the same beam sizes are
shown.
Open circles represent CS/C; 10-pointed stars, CS-2/C-2;
open triangles, VCS/VC; inverted Y's, VCS-2/VC-2. (The `V' denotes
VTESS simulations.)
The y-axis is logarithmic, with ticks corresponding to ...0.8, 0.9, 1.0,
2, 3, 5, ...; the horizontal line represents 1.0, so points lying above this line represent images which are better mapped with CS
than with C, while those below are better mapped with C configuration.
Note that some
and
points may lie outside the range displayed.
The x-axis shows the sequence numbers of the simulations (as defined in
the tables), with vertical lines splitting the sources up between
Cas A (seq. 1-6), the small Cyg A (11-14), the medium Cyg A (21-22),
and the large Cyg A (31-32).
Figure:
Losing two antennas vs. switching from C to CS configuration:
long observations (HA=
). The ratios of the two most useful
quality measures are shown, now with a linear y-axis to allow more
quantitative appraisals. Symbols and axes are as in
Figures
-
.
|
Next: About this document ...
Up: cstest2
Previous: Acknowledgements
Stephan Witz
2003-04-15