- #1

mahch

- 8

- 0

a

_{1}, a

_{2}, a

_{3},..., a

_{m}and b

_{1}, b

_{2}, b

_{3}, ..., b

_{n}.

Then produce as follows the generated array G

_{ai}to contain these elements:

a

_{1}, a

_{1}+a

_{2}, a

_{1}+a

_{2}+a

_{3}, ..., a

_{1}+..+a

_{m},

a

_{1}+..+a

_{m}+a

_{1}, a

_{1}+..+a

_{m}+a

_{1}+a

_{2}, .....

Alike produce the generated array G

_{bj}to contain these elements:

b

_{1}, b

_{1}+b

_{2}, b

_{1}+b

_{2}+b

_{3}, ..., b

_{1}+..+b

_{n},

b

_{1}+..+b

_{n}+b

_{1}, b

_{1}+..+b

_{n}+b

_{1}+b

_{2}, ....

The numbers a

_{i}and b

_{j}are cumulated cyclically to produce their respective arrays G

_{ai}and G

_{bj}.

Two questions are open to be analyzed (by me) - hope someone has a hint:

1. How to express analitically all numbers contained in G

_{ai}U G

_{bj}as a function.

2. Since the rows a

_{i}and b

_{j}has periods m and n respectively, what is the resulting period of the superposition , ie. the period of G

_{ai}U G

_{bj}?

I appreciate your comment or hint.