Ä€ryabhaá¹­a Numeration
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Ä€ryabhaá¹­a Numeration
Āryabhaṭa numeration is an alphasyllabic numeral system based on Sanskrit phonemes. It was introduced in the early 6th century in India by Āryabhaṭa, 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.) and Avarga letters like ''ya'', ''ra'', ''la'' .. have to be placed in Avarga places (10th, 1000th, 100000th, etc.). The Varga letters ''ka'' to ''ma'' have values from 1, 2, 3 .. up to 25 and Avarga letters ''ya'' to ''ha'' have values 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 a ...
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Alphasyllabic Numeral System
Alphasyllabic numeral systems are a type of numeral systems, developed mostly in India starting around 500 AD. Based on various alphasyllabary, alphasyllabic scripts, in this type of numeral systems glyphs of the numerals are not abstract signs, but syllables of a script, and numerals are represented with these syllable-signs. On the basic principle of these systems, numeric values of the syllables are defined by the consonants and vowels which constitute them, so that consonants and vowels are - or are not in some systems in case of vowels - ordered to numeric values. While there are many hundreds of possible syllables in a script, and since in alphasyllabic numeral systems several syllables receive the same numeric value, so the mapping is not injective function, injective. Alphasyllabaries The basic principle of the Indian alphasyllabary, alphasyllabaries is a set of 33 consonant-signs, which are combined with a set of about 20 diacritic marks that indicate vowels of the brahm ...
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