### Applet Instructions:

- Use the pull down menu labeled
**Select Time Scale:** to select
a time scale to graph.
**Discrete D[1:10] -- **A discrete line with points at every
integer from 1 to 10.
**Continuous C[1:10] -- **A continuous line between 1 and
10.
**D[1:.2:6],C[6:8],D[8:15] -- **A line with a discrete section
from 1 to 6 with points 0.2 apart, a continuous section from 6 to 8, and
a discrete section from 8 to 15 with points every integer.
**Log Time Scale -- ** A logarithmic line from 0 to about
2.4
**P(a,b) Time Scale -- **A time scale with 5 sections; each
section contains a continuous (a) region and discrete (b) region.
**Rand. D[0:rand(1,2):20] -- **A discrete time scale with
a random mu value between 1 and 2
**Rand. D[0:rand(1,5):20] -- **A discrete time scale with
a random mu value between 1 and 5

- Input an exponent (any real decimal number will do, although negative numbers
are usually more exciting) in the box labeled
**Set Exponent:**
- Press the
**Plot** button to display the selected options in
the graphing region.

#### Extra Options:

- Use the
**Toggle Axes** check box to display or remove the
axes lines for easy viewing of a particular time scale's shape.
- Use the
**Toggle Continuous** check box to display the continuous
time scale on the graphing region for comparison against the currently selected
time scale.
- Press the
**Reset** button to return the settings to default:
a discrete time scale with an exponent of 2.
- Use the mouse coordinates located at the bottom left of the applet to explore
the graphing region accurately.

#### Specialty Options:

Select the **Log Time Scale** option from the pull down menu and
press the plot button. You will see more buttons appear on the control panel.

**Animate**
- Graphs the log time scale from exponent = -1 to exponent = -300 consecutively.
Notice what happens to the log time scale as compared to the continuous timescale.
**Stop**
- Stops the animation to allow for more precise interaction with the animating
process.
**Start**
- Starts the animation from the currently graphed exponent. Use the Start
button to watch the animation run from the current exponent to -300.
**Step**
- Step a stopped animation forward (in a more negative direction) by one whole
number.
**Step Back**
- Step a stopped animation backward (in a more positive direction) by one
whole number.

Select **the P(a,b) Time Scale** option from the pull down menu
and press the plot button. You will see a slider appear on the control panel.

As the slider's label might suggest, changing the
location of the slider will increase or decrease the ratio between the *a* and *b* sections of the time scale. At 0% visibility, *a* appears
almost as a completely discrete time scale. With 100% visibility, the P(a,b)
becomes a continuous time scale (use the **Toggle Continuous** check box for comparison).