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The numeration is a system of numerals based on Sanskrit phonemes. It was introduced in the early 6th century in India by , in the first chapter titled ''Gītika Padam'' of his ''Aryabhatiya''. It attributes a numerical value to each syllable of the form consonant+vowel possible in Sanskrit phonology, from ' = 1 up to ' = 1018. == History == The basis of this number system is mentioned in the second stanza of the first chapter of Aryabhatiya. The Varga (Group/Class) letters Ka to Ma are to be placed in the varga (square) places (1st, 100th, 10000th ...etc. places) and Avarga letters like Ya, Ra, La .. have to be placed in Avarga places (10th, 1000th,...etc. places). The Varga letters 'Ka' to 'Ma' have value from 1, 2, 3 .. up to 25 and Avarga letters 'Ya' to 'Ha' have value 30, 40, 50.. up to 100.In the Varga and Avarga letters, beyond the ninth vowel (place), new symbols can be used. The values for vowels are as follows : i= 100 ; u = 10000, ru = 1000000 and so on. Aryabhata used this number system for representing both small and large numbers in his mathematical and astronomical calculations. This system can even be used to represent fractions and mixed fractions. For example nga is 1/5, nja is 1/10 and Jhardam (jha=9; its half) = 4½ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Āryabhaṭa numeration」の詳細全文を読む スポンサード リンク
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