We give simple combinatorial proofs of some formulas for the number of factorizations of permutations in Sn as a product of two n-cycles, or of an n-cycle and an (n − 1)-cycle. © 2012 Elsevier Ltd. All rights reserved.

A clock is, from an information-theoretic perspective, a system that emits information about time. One may therefore ask whether the theory of imposes any constraints on maximum precision clocks. Here we show quantum-over-classical advantage for clocks or, more precisely, task generating what time it is. The argument is based considerations: analyze how accuracy scales with its size, measured i...

This study was conducted to investigate if passive cooling technologies have been implemented in commercially supplied new residential areas Bangkok and observe there were significant differences the land surface temperature (LST) compared old areas. Values of LST among 62 that differed completion year. The mean for most recent completed 2013 or later significantly less than other older categor...