This Applet illustrates time scale exponentials on some selected time scales.
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
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
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.
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
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.
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.
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.
Stops the animation to allow for more precise interaction with the animating
Starts the animation from the currently graphed exponent. Use the Start
button to watch the animation run from the current exponent to -300.
Step a stopped animation forward (in a more negative direction) by one whole
Step a stopped animation backward (in a more positive direction) by one
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).