A Specific Rule in India for Common Difference as Found in the Gommaṭasāra of Nemicandra (c. 981)
This paper brings the formula d = S ÷ n²k into light and discusses its various aspects including its context in Jaina philosophy. It was set forth and utilized by Nemicandra (c. 981) in the Gommaṭasāra (Karmakāṇḍa) in order to demonstrate the lower-thought-activity (adhaḥ pravṛtta karaṇa). The lowe...
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| Format: | Electronic Article |
| Language: | English |
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[publisher not identified]
2015
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| In: |
International Journal of Jaina Studies
Year: 2015, Volume: 11, Issue: 2, Pages: 1-21 |
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Volltext (kostenfrei) |
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| 520 | |a This paper brings the formula d = S ÷ n²k into light and discusses its various aspects including its context in Jaina philosophy. It was set forth and utilized by Nemicandra (c. 981) in the Gommaṭasāra (Karmakāṇḍa) in order to demonstrate the lower-thought-activity (adhaḥ pravṛtta karaṇa). The lower-thought-activity is conceived as a special process of thought-concentration which causes destruction (kṣapaṇa) or suppression (upaśamana) of the sub-classes of conduct-deluding karma. The paper also offers a rationale for this specific formula. The relevance of the formula lies in the fact that it can be used for generating various arithmetic progressions by finding the common differences, d , in accordance with various values of an arbitrary number, k , while their sums, S , and the numbers of their terms, n , remain fixed. This way he used it. It can also be used for generating various arithmetic progressions by finding in accordance with various values of k while n and d remain fixed and by finding n in accordance with various appropriate values of k while S and d remain fixed. | ||
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