Belmont Tower and Carillon an original cast-iron staircase leading to the second floor of the tower. The staircase is an exact replica of the staircase in the Green-Meldrim House in Savannah, Georgia. The first floor of the tower was renovated into a prayer chapel in 1974, which is currently open to visitors day and night. The second floor houses the music library. The third floor holds a practice carillon. The fourth floor houses the keyboard control mechanism for the carillon bells. The bronze bells are located behind screens on the fifth level of the tower. Belmont Tower and Carillon The Belmont Tower and Carillon
Partition of a set "coarser" than "α"—if every element of "α" is a subset of some element of "ρ". Informally, this means that "α" is a further fragmentation of "ρ". In that case, it is written that "α" ≤ "ρ". This "finer-than" relation on the set of partitions of "X" is a partial order (so the notation "≤" is appropriate). Each set of elements has a least upper bound and a greatest lower bound, so that it forms a lattice, and more specifically (for partitions of a finite set) it is a geometric lattice. The "partition lattice" of a 4-element set has 15 elements