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katapayadi system
''Ka·ṭa·pa·yā·di'' (Deva·nāgarī: कटपयादि) system (also known as ''Paralppēru'', Malayalam: പരല്പ്പേര്) of numerical notation is an ancient Indian system to depict letters to numerals for easy remembrance of numbers as words or verses. Assigning more than one letter to one numeral and nullifying certain other letters as valueless, this system provides the flexibility in forming meaningful words out of numbers which can be easily remembered.
== History ==
The oldest available evidence of the use of ''Kaṭapayādi'' (Sanskrit: कटपयादि) system is from ''Grahacāraṇibandhana'' by Haridatta in 683 CE.〔Sreeramamula Rajeswara Sarma (1999), Kaṭapayādi Notation on a Sanskrit Astrolabe ()〕 It has been used in ''Laghu·bhāskarīya·vivaraṇa'' written by ''Śaṅkara·nārāyaṇa'' in 869 CE.
Some argue that the system originated from ''Vararuci''.〔(【引用サイトリンク】title=Aryabhatta's numerical encoding )〕 In some astronomical texts popular in Kerala planetary positions were encoded in the Kaṭapayādi system. The first such work is considered to be the ''Chandra-vakyani'' of ''Vararuci'', who is traditionally assigned to the fourth century CE. Therefore, sometime in the early first millennium is a reasonable estimate for the origin of the ''Kaṭapayādi'' system.
Aryabhata, in his treatise ''Ārya·bhaṭīya'', is known to have used a similar, more complex system to represent astronomical numbers. There is no definitive evidence whether the ''Ka-ṭa-pa-yā-di'' system originated from Āryabhaṭa numeration.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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