The Sanskrit term Śavalaka can be transliterated into English as Savalaka or Shavalaka, using the IAST transliteration scheme (?).

In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Śavalaka (शवलक) [=śabalaka?] or Śavala refers to the “spotted color” which were used as symbols for the unknowns, according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—Āryabhaṭa I (499) very probably used coloured shots to represent unknowns. Brahmagupta (628) in the Brāhmasphuṭasiddhānta mentions varṇa as the symbols of unknowns. As he has not attempted in any way to explain this method of symbolism, it appears that the method was already very familiar. [...] In the case of more unknowns, it is usual to denote the first yāvattāvat and the remaining ones by alphabets or colours [e.g., śavalaka].—Cf. Pṛthūdakasvāmī (860) in his commentary on the Brāhmasphuṭasiddhānta by Brahmagupta (628) and Bhāskara II in the Bījagaṇita.

context information

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.

See also (Relevant definitions)

Full-text: Savala, Shabalaka.

Relevant text

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