NOTE ON 1-CROSSING PARTITIONS Given a partition π of the set
... number of blocks, and also to examine a natural q-analogue with regard to the cyclic sieving phenomenon shown in [8] for certain q-Catalan and q-Narayana numbers. The crux is the observation that 1-crossing partitions of [n] biject naturally with noncrossing partitions of [n] having a distinguished ...
... number of blocks, and also to examine a natural q-analogue with regard to the cyclic sieving phenomenon shown in [8] for certain q-Catalan and q-Narayana numbers. The crux is the observation that 1-crossing partitions of [n] biject naturally with noncrossing partitions of [n] having a distinguished ...
First stage in English + solutions
... 1. Yael took apart these 2 two towers and used the bricks to build a single tower of the same shape in their place, so that the top row contained one brick, and each row contained one more brick than the row above. After Yael had built the tallest tower that she could, how many ...
... 1. Yael took apart these 2 two towers and used the bricks to build a single tower of the same shape in their place, so that the top row contained one brick, and each row contained one more brick than the row above. After Yael had built the tallest tower that she could, how many ...
pmwc-problems
... and so on so that the nine-digit number abcdefghi is divisible by 9. Find this nine-digit number. 13. In how many ways can seven students A, B, C, D, E, F and G line up in one row if students B and C are always next to each other? 14. A 1001-digit number begins with 6. The number formed by any two a ...
... and so on so that the nine-digit number abcdefghi is divisible by 9. Find this nine-digit number. 13. In how many ways can seven students A, B, C, D, E, F and G line up in one row if students B and C are always next to each other? 14. A 1001-digit number begins with 6. The number formed by any two a ...
EXTRA STUDY PROBLEMS for MAT1348
... “If Peter goes to the party only if John goes to the party, then Mary will be sad unless the party is cancelled. If John isn’t going to the party, then Peter is not going either. In order for the party not to be cancelled, it suffices that John does not come to the party and that Peter leaves early. I ...
... “If Peter goes to the party only if John goes to the party, then Mary will be sad unless the party is cancelled. If John isn’t going to the party, then Peter is not going either. In order for the party not to be cancelled, it suffices that John does not come to the party and that Peter leaves early. I ...
Pre-APMOPS Course
... More rows continue to list the positive integers in order, with each new row containing ...
... More rows continue to list the positive integers in order, with each new row containing ...
