Khahara, Kha-hara: 10 definitions

Introduction:

Khahara means something in Hinduism, Sanskrit, Marathi. 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: archive.org: Hindu Mathematics

Khahara (खहर) refers to a “number divided by zero” (i.e., “that number with zero as denominator”), in ancient Indian mathematics (gaṇita-śāstra).—The quotient of division by zero of a finite quantity has been called by Bhāskara II as khahara, which is synonymous with khacheda (the quantity with zero as denominator) of Brahmagupta.

Bhāskara II in the Līlāvatī:—“In addition cipher makes the sum equal to the additive. In involution and evolution the result is cipher. A number divided by zero is khahara (that number with zero as denominator). The product of (a number and) zero is zero, but it must be retained as a multiple of zero (khaguṇa), if any further operations impend. Zero having become a multiplier (of a number), should zero afterwards become a divisor, the number must be understood to be unchanged. So likewise any number, to which zero is added, or from which it is subtracted (is unaltered)”.

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

Marathi-English dictionary

Source: DDSA: The Molesworth Marathi and English Dictionary

khahara (खहर).—m S A fraction having a cipher for its denominator; infinite quantity.

Source: DDSA: The Aryabhusan school dictionary, Marathi-English

khahara (खहर).—m Infinite quantity.

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.

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Sanskrit dictionary

Source: DDSA: The practical Sanskrit-English dictionary

Khahara (खहर).—a. having a cypher for its denominator.

Khahara is a Sanskrit compound consisting of the terms kha and hara (हर).

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

Khahara (खहर).—m.

(-raḥ) (In arithmetic.) A fraction having a cypher for its denominator. E. kha a cypher, hara divisor.

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

Khahara (खहर):—[=kha-hara] [from kha] mfn. (in [arithmetic]) having a cypher for its denominator (as a fraction).

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

Khahara (खहर):—[kha-hara] (raḥ) 1. m. A fraction with a cypher for its denominator.

[Sanskrit to German]

Khahara 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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Kannada-English dictionary

Source: Alar: Kannada-English corpus

Khahara (ಖಹರ):—[noun] the quotient of a number divided by zero; a infinite number.

context information

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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