Vallisavarnana, Vallīsavarṇana, Valli-savarnana: 1 definition
Introduction:
Vallisavarnana means something in Hinduism, Sanskrit. If you want to know the exact meaning, history, etymology or English translation of this term then check out the descriptions on this page. Add your comment or reference to a book if you want to contribute to this summary article.
In Hinduism
Ganitashastra (Mathematics and Algebra)
Source: Indian Journal of History of Science: Calculation for ‘chain‑reduction’ in the TriśatībhāṣyaVallīsavarṇana (वल्लीसवर्णन) refers to “chain-reduction”, according to the Triśatībhāṣya: an anonymous commentary on the Sanskrit arithmetic text Triśatī by Śrīdhara (ca. 800 CE).—Vallīsavarṇana (chain-reduction) is a rule for unifying quantities expressed in several units into the highest one, but the usage of the rule in the Triśatībhāṣya is slightly different.—Verse 26cd-27ab prescribes the rule for the ‘chain-reduction’ as follows:—“In the ‘chain-reduction,’ [kurvīta savarṇane vallyāḥ] one should multiply the former (the upper) denominator and numerator by the denominator located below. On the former (the upper) numerator, one should make the numerator located below positive [or] negative”.
Ganitashastra (शिल्पशास्त्र, gaṇitaśāstra) refers to the ancient Indian science of mathematics, algebra, number theory, arithmetic, etc. Closely allied with astronomy, both were commonly taught and studied in universities, even since the 1st millennium BCE. Ganita-shastra also includes ritualistic math-books such as the Shulba-sutras.
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