Apavartaka: 6 definitions


Apavartaka means something in Hinduism, Sanskrit, Hindi. 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.

Alternative spellings of this word include Apvartak.

In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Apavartaka (अपवर्तक) refers to an “abridger” (i.e., a number dividing the first and second roots), according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—According to Pṛthūdakasvāmī (860) in his commentary on the Brāhmasphuṭasiddhānta by Brahmagupta (628): “Here are stated for ordinary use the terms which are well known to people. [...] If there be a number multiplying both these roots [i.e., the first and the second], it is called the augmenter (udvartaka); and, on the contrary, if there be a number dividing the roots, it is called the abridger (apavartaka)”.

Ganitashastra book cover
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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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Languages of India and abroad

Sanskrit dictionary

[«previous next»] — Apavartaka in Sanskrit glossary
Source: DDSA: The practical Sanskrit-English dictionary

Apavartaka (अपवर्तक).—

1) A common measure.

2) A necklace of pearls and gold-globules alternately put; Kau. A.2.11.

Derivable forms: apavartakaḥ (अपवर्तकः).

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

Apavartaka (अपवर्तक):—[=apa-vartaka] [from apa-vṛt] m. a common measure, [cf. Lexicographers, esp. such as amarasiṃha, halāyudha, hemacandra, etc.]

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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.

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Hindi dictionary

[«previous next»] — Apavartaka in Hindi glossary
Source: DDSA: A practical Hindi-English dictionary

Apavartaka (अपवर्तक) [Also spelled apvartak]:—(nm) common divisor.

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Kannada-English dictionary

[«previous next»] — Apavartaka in Kannada glossary
Source: Alar: Kannada-English corpus

Apavartaka (ಅಪವರ್ತಕ):—[noun] math. the product of a given series of consecutive whole numbers beginning with 1 and ending with the specified number; a factorial.

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Kannada is a Dravidian language (as opposed to the Indo-European language family) mainly spoken in the southwestern region of India.

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Nepali dictionary

[«previous next»] — Apavartaka in Nepali glossary
Source: unoes: Nepali-English Dictionary

Apavartaka (अपवर्तक):—n. Math. factor; common divisor;

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Nepali is the primary language of the Nepalese people counting almost 20 million native speakers. The country of Nepal is situated in the Himalaya mountain range to the north of India.

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See also (Relevant definitions)

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