A general time scale is oven denoted by
![T](../Images/T.jpg)
Let t be a point in the time scale.
![t_T](../Images/tinT.jpg)
We then make the following definitions.
1. The forward jump operator is the closest point to t on the right.
![Forward Jump](../Images/fj.jpg)
2. The backward jump operator is the closest point to t on the left.
![Backward Jump](../Images/bj.jpg)
3. The graininess is the distance from t to its closest point on the right.
![Graininess](../Images/graininess.jpg)
These definitions are illustrated in the following figure.
![Examples](../Images/Grain.jpg)
4. The time scale is said to be right scattered at point t if
This is illustrated in the following figure.
![Right Scattered](../Images/RightScattered.jpg)
5. The time scale is said to be left scattered at point t if
![Left Scattered](../Images/ls.jpg)
This is illustrated in the following figure.
![Left Scattered](../Images/LeftScattered.jpg)
6. The time scale is said to be right continuous at point t if
![Right Continuous](../Images/rc.jpg)
7. The time scale is said to be left continuous at point t if
![Left Continuous](../Images/lc.jpg)
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