In this paper we prove the asymptotic formula for the moments of Minkowski question mark function in the interval [0, 1]. The main idea is to demonstrate that certain variation of Laplace method (a forerunner of saddle-point approximation) is applicable in this problem, hence the task reduces to a number of technical calculations. School of Mathematical Sciences, University of Nottingham, Unive...

This paper focuses on optical music recognition (OMR) system that recognizes the musical symbols on a digitized music sheet and converts them into symbolic music representation. Two main stages are distinguished – pre-processing and symbol analysis. In the pre-processing stage, staves are detected and removed; while in the symbol analysis stage, each musical symbol is recognized and analyzed. T...