In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Tulyabhāvanā (तुल्यभावना) refers to “composition of equals” in Bhāvanā (“demonstration”) or “proof” (meaning anything demonstrated or proved, hence theorem, lemma), according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—When the bhāvanā is made with two equal sets of roots and interpolators, it is called tulyabhāvanā (Composition of Equals) and when with two unequal sets of values, atulyabhāvanā (Composition of Unequals).

context information

Ganita (गणित) or Ganitashastra 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

Tulyabhāvanā (तुल्यभावना).—(in arith.) combination of like sets of magnitude.

Tulyabhāvanā is a Sanskrit compound consisting of the terms tulya and bhāvanā (भावना).

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

Tulyabhāvana (तुल्यभावन).—n.

(-naṃ) Combination of like series, (in calculation.) E. tulya, and bhāvana computing.

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

Tulyabhāvanā (तुल्यभावना):—[=tulya-bhāvanā] [from tulya > tul] f. (in [mathematics]) combination of like sets.

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

Tulyabhāvana (तुल्यभावन):—[tulya-bhāvana] (naṃ) 1. n. Combination of like series (in calculation).

[Sanskrit to German]

Tulyabhavana 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: Tulya, Bhavana.

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Full-text: Tulya, Bhavana, Atulya, Atulyabhavana.

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