Nirapavarta, Nir-apavarta: 5 definitions


Nirapavarta 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: Hindu Mathematics

Nirapavarta (निरपवर्त) refers to “irreducible”, according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—[Preliminary Operations]:—It has been remarked by most of the writers that in order that an equation of the form [by - ax = ±c or by + ax = ±c] may be solvable, the two numbers a and b must not have a common divisor; for, otherwise, the equation would be absurd, unless the number c had the same common divisor. So before the rules adumbrated hereafter can be applied, the numbers a, b, c must be made prime (dṛḍha=firm, niccheda=having no divisor, nirapavarta=irreducible) to each other.

Ganitashastra book cover
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.

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Languages of India and abroad

Sanskrit dictionary

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

Nirapavarta (निरपवर्त).—a.

1) not turning back.

2) (in arith.) leaving no common divisor, reduced to the lowest terms.

Nirapavarta is a Sanskrit compound consisting of the terms nir and apavarta (अपवर्त).

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

1) Nirapavarta (निरपवर्त):—[=nir-apavarta] [from nir > niḥ] mfn. not returning, [Horace H. Wilson]

2) [v.s. ...] (in [arithmetic]) = next.

[Sanskrit to German]

Nirapavarta 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.

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