In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Sthirakuṭṭaka (स्थिरकुट्टक) refers to the “constant pulveriser”, according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—The equation [by = ax ± 1] generally called by the name of sthirakuṭṭaka or the “constant pulveriser” (from sthira, meaning constant, steady). Pṛthūdakasvāmī (860) sometimes designates it also as dṛḍhakuṭṭaka (from dṛḍha = firm). But that name disappeared from later Hindu algebras because the word dṛḍha was employed by later writers as equivalent to niccheda (having no divisor) or nirapavarta (irreducible). The origin of the name “constant pulveriser” has been explained by Pṛthūdakasvāmī as being due to the fact that the interpolator (± 1) is here invariable.

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.

Languages of India and abroad

Sanskrit dictionary

Source: DDSA: The practical Sanskrit-English dictionary

Sthirakuṭṭaka (स्थिरकुट्टक).—

1) a steady pulverizer.

2) a kind of common divisor (in algebra).

Derivable forms: sthirakuṭṭakaḥ (स्थिरकुट्टकः).

Sthirakuṭṭaka is a Sanskrit compound consisting of the terms sthira and kuṭṭaka (कुट्टक).

Source: Cologne Digital Sanskrit Dictionaries: Shabda-Sagara Sanskrit-English Dictionary

Sthirakuṭṭaka (स्थिरकुट्टक).—m.

(-kaḥ) 1. A steady pulverizer. 2. A common divisor, (in algebra.)

Source: Cologne Digital Sanskrit Dictionaries: Monier-Williams Sanskrit-English Dictionary

Sthirakuṭṭaka (स्थिरकुट्टक):—[=sthira-kuṭṭaka] [from sthira > sthā] m. (in [algebra]) a steady pulverizer, constant multiplier, common divisor (applied to a [particular] kind of common div°), [Monier-Williams’ Sanskrit-English Dictionary]

context information

Sanskrit, also spelled संस्कृतम् (saṃskṛtam), is an ancient language of India commonly seen as the grandmother of the Indo-European language family (even English!). Closely allied with Prakrit and Pali, Sanskrit is more exhaustive in both grammar and terms and has the most extensive collection of literature in the world, greatly surpassing its sister-languages Greek and Latin.

See also (Relevant definitions)

Partial matches: Kuttaka, Sthira.

Full-text: Sthira, Dridhakuttaka, Dridha.

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