In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Vyavakalita (व्यवकलित, “subtraction”) refers to one of the twenty operations (logistics) of pāṭīgaṇita (“science of calculation which requires the use of writing material—the board”), according to Pṛthudakasvāmī’s commentary on the Brāhmasphuṭasiddhānta by Brahmagupta, a Sanskrit treatise on ancient Indian mathematics (gaṇita-śāstra) and astronomy from the 7th century.—According to Āryabhaṭa II (950).—“The taking out (of some number) from the sarvadhana (total) is subtraction; what remains is called śeṣa (remainder)”.

Vyavakalita is of two kinds:

1. Direct process (krama),
2. Inverse process (utkrama).

Alternative names for vyavakalita:—vyutkalita (made apart), vyutkalana (making apart), śodhana (clearing), pātana (causing to fall), viyoga (separation), etc., have been used for subtraction. The terms śeṣa (residue) and antara (difference) have been used for the remainder. The minuend has been, called sarvadhana or viyojya and the subtrahend viyojaka.

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

Marathi-English dictionary

Source: DDSA: The Molesworth Marathi and English Dictionary

vyavakalita (व्यवकलित).—p S Subtracted or deducted.

context information

Marathi is an Indo-European language having over 70 million native speakers people in (predominantly) Maharashtra India. Marathi, like many other Indo-Aryan languages, evolved from early forms of Prakrit, which itself is a subset of Sanskrit, one of the most ancient languages of the world.

Sanskrit dictionary

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

Vyavakalita (व्यवकलित).—mfn.

(-taḥ-tā-taṃ) Subtracted, deducted. n.

(-taṃ) Subtraction. E. vi and ava before kal to count, and kta aff.

--- OR ---

Vyāvakalita (व्यावकलित).—mfn.

(-taḥ-tā-taṃ) Subtracted. E. vi with āṅ and ava before kal to count, aff. kta .

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

1) Vyavakalita (व्यवकलित):—[=vy-ava-kalita] [from vyava-kalana] mfn. subtracted, deducted, [Līlāvatī of bhāskara]

2) [v.s. ...] n. subtraction, deduction, [ib.]

3) Vyāvakalita (व्यावकलित):—vyāvakalana, lita = vy-avak, [Horace H. Wilson]

Source: Cologne Digital Sanskrit Dictionaries: Yates Sanskrit-English Dictionary

1) Vyavakalita (व्यवकलित):—[vyava-kalita] (taḥ-tā-taṃ) a. Subtracted.

2) Vyāvakalita (व्यावकलित):—[vyāva-kalita] (taḥ-tā-taṃ) a. Subtracted.

[Sanskrit to German]

Vyavakalita in German

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: Vyava, Kalita, Vi, Avakalita.

Ends with: Bhinnavyavakalita.

Full-text: Bhinnavyavakalita, Vipakalitam, Vyavakalana, Hinita, Viyoga, Vyutkalana, Vyutkalita, Patana, Viyojya, Sarvadhana, Shesha, Viyojaka, Kal, Utkrama, Antara, Shodhana, Patiganita, Krama.

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