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Following the Ganitapada, the next section is the "Kalakriya" or "The Reckoning of Time." In it, Aryabhata divides up days, months, and years according to the movement of celestial bodies. He divides up history astronomically; it is from this exposition that a date of AD 499 has been calculated for the compilation of the Aryabhatiya. [4]
Aryabhata ( ISO: Āryabhaṭa) or Aryabhata I [3] [4] (476–550 CE) [5] [6] was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the Āryabhaṭīya (which mentions that in 3600 Kali Yuga , 499 CE, he was 23 years old) [ 7 ] and the Arya- siddhanta .
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 .
This method of expressing and sharing knowledge made it easier to remember, recall, transmit and preserve knowledge. However, this method also meant secondary rules of interpretation, because numbers don't have rhyming synonyms. The creative approach adopted in the Surya Siddhanta was to use symbolic language with double meanings. For example ...
Ā (ఆ) is a vowel of the Telugu abugida. It ultimately arose from the Brahmi letter . It is closely related to the Kannada letter ಆ. Like in other Indic scripts, Telugu vowels have two forms: and independent letter for word and syllable-initial vowel sounds, and a vowel sign for changing the inherent "a" of Telugu consonant letters.
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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) = 4 + 1 ⁄ 2. [further explanation needed]
Course of the Ganges river; Ganges-Yamuna doab western part of the green area. The Ganges-Yamuna doab. The Baudhayana Dharmasutra (BDS) 1.1.2.10 (perhaps compiled in the 8th to 6th centuries BCE) declares that Āryāvarta is the land that lies west of Kālakavana, east of Adarsana, south of the Himalayas and north of the Vindhyas, but in BDS 1.1.2.11 Āryāvarta is confined to the doab of the ...