Numbered musical notation and so on. Dashes after a note lengthen it, each dash by the length of a quarter note. A dot after the plain or underlined note works increases its length by half, and two dots by three quarters. The underline, along with its joining, are analogous to the number of flags and beaming in standard notation. So are dotted notes. But the analogue stops at notes worth three quarter notes and beyond, where dashes are used instead. The number "0" represents the musical rest. The rules for length is similar to that of the note, except that it is customary
History of mathematical notation used spherical trigonometry in his calculations to improve the calendar system and Chinese astronomy. The mathematical science of the Chinese would incorporate the work and teaching of Arab missionaries with knowledge of spherical trigonometry who had come to China in the course of the thirteenth century. Although the origin of our present system of numerical notation is ancient, there is no doubt that it was in use among the Hindus over two thousand years ago. The algebraic notation of the Indian mathematician, Brahmagupta, was syncopated. Addition was indicated by placing the numbers side by side, subtraction by placing a dot