1. $ OR NOT: CHECK LENGTH OF DEPENDENCIES KARL LIEBERHERR

2. VISUALIZING DEPENDENCIES HELPS TO FIND OUT WHEN YOU NEED A $ SIGN IF LENGTH OF DEPENDENCIES CHANGES: NEED $

3. SAME LENGTH: NO $ PROPAGATE IN ROWS ABCD 1 2 3 4 =A1+B1 =A2+B2 =A3+B3

4. NOT SAME LENGTH: USE $ ABCD 1 2 3 4 =A$1+B1 =A$1+B2 =A$1+B3

5. SAME LENGTH: NO $ ABCD 1 2 3 4 =A2+C1+B2 =A3+C2+B3

6. NOT SAME LENGTH: USE $ ABCD 1 2 3 4 =A2+C$1+B2 =A3+C$1+B3

7. NOT SAME LENGTH: USE $ PROPAGATE IN ROWS AND COLUMNS ABCD 1 2 3 4 =A2+C$1+B2 =A3+C$1+B3 =$A2+D$1+$B2 =$A3+D$1+$B3

8. CONCLUSION DRAW A PICTURE WHICH SHOWS HOW THE DEPENDENCIES EVOLVE AS YOU MOVE FROM ROW TO ROW. FROM COLUMN TO COLUMN. IF THE DEPENDENCY ARROWS CHANGE IN LENGTH YOU NEED A $ SIGN FOR THE RESPECTIVE COORDINATE.