Alternative spellings of this word include Sankalit.

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In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: Google Books: Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures (math)

Saṅkalitā (सङ्कलिता) refers to a “series” (e.g., Guṇottara-Saṅkalitā —“multiplicative series”).—Indian mathematicians long knew about finite geometric series, which they called guṇottara-saṅkalitā or guṇottara-śreḍhī (multiplicative series), and methods of summing the finite geometric series were a part of the elementary school curriculum from at least 1,300 years ago and are found in numerous elementary texts such as the Pāṭigaṇita of Śrīdhara. Indeed, summing a finite multiplicative series was a very common commercial problem found in a variety of other sources such as the Gaṇitasāra-Saṃgraha of Mahāvīra, Mahā Siddhānta of Ᾱryabhaṭa II, the Līlāvatī of Bhaskara II, etc. (Cf. rule 126 et. seq; the numbering differs between Colebrooke, 1816 and the critical edition of Sarma, 1975).

Source: archive.org: Hindu Mathematics

Saṃkalita (संकलित, “addition”) 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.—The Hindu name for addition is saṃkalita (‘made together’). Other equivalent terms commonly used are saṃkalana (making together), miśraṇa (mixing), saṃmelana (mingling together), prakṣepaṇa (throwing together), saṃyojana (joining together), ekīkaraṇa (making into one), yukti, yoga (addition) and abhyāsa, etc. The word saṃkalita has been used by some writers in the general sense of the sum of a series.

Saṃkalita is of two kinds, according to Bhāskara II in the Līlāvatī:

1. Direct process (krama) [i.e., beginning from the units place],
2. Inverse process (utkrama) [i.e., beginning from the last place on the left].

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

Saṅkalita (सङ्कलित).—p (S) Added up. 2 Mixed, mingled, blended. 3 Heaped together. 4 Compressed or condensed--a writing, a composition, discourse, speech.

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saṅkaḷīta (संकळीत).—p (Properly saṅkalita) corruptly saṅkaḷīka a Compressed or condensed--a book, speech &c.: also as ad compressedly, compendiously, by way of summary or epitome. Ex. tēṃ saṃ0 sāṅgatōṃ yathā- mati || sādara śrōtīṃ parisījē ||.

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

Saṅkalita (सङ्कलित).—p Added up. Mixed, blended. Compressed or condensed–a writing or composition.

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saṅkaḷīta (संकळीत).—(Properly saṅkalita.) p Compress- ed or condensed.

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: DDSA: The practical Sanskrit-English dictionary

Saṃkalita (संकलित).—p. p.

1) Heaped up. piled up, collected.

2) Blended together, intermixed.

3) Seized, laid hold of.

4) Added.

5) Resumed, regained; Māl,3.

-tā (In arith.) The first sum.

-tam Addition.

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

Saṅkalita (सङ्कलित).—mfn.

(-taḥ-tā-taṃ) 1. Heaped, piled, arranged. 2. Brought in contact, blended, intermixed. 3. Laid hold of. 4. Added. n.

(-taṃ) Addition, (in arithmetic.) E. sam before kal to number, aff. kta .

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

1) Saṃkalita (संकलित):—[=saṃ-kalita] [from saṃ-kal] mfn. heaped together, accumulated etc.

2) [v.s. ...] added, [Līlāvatī of bhāskara]

3) [v.s. ...] blended, intermixed, [Horace H. Wilson]

4) [v.s. ...] laid hold of, grasped, [Monier-Williams’ Sanskrit-English Dictionary]

5) Saṃkalitā (संकलिता):—[=saṃ-kalitā] [from saṃ-kalita > saṃ-kal] f. (in [arithmetic]) the first sum in a progression, [Colebrooke]

6) Saṃkalita (संकलित):—[=saṃ-kalita] [from saṃ-kal] n. addition, [Līlāvatī of bhāskara]

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

Saṅkalita (सङ्कलित):—(taṃ) 1. n. Addition. a. Heaped; blended; added.

Source: DDSA: Paia-sadda-mahannavo; a comprehensive Prakrit Hindi dictionary (S)

Saṃkalita (संकलित) in the Sanskrit language is related to the Prakrit word: Saṃkalia.

[Sanskrit to German]

Samkalita 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.

Hindi dictionary

Source: DDSA: A practical Hindi-English dictionary

Saṃkalita (संकलित) [Also spelled sankalit]:—(a) compiled, collected; amassed, assembled.

context information

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Kannada-English dictionary

Source: Alar: Kannada-English corpus

Saṃkalita (ಸಂಕಲಿತ):—

1) [adjective] collected, complied (different things from different places, sources, etc.).

2) [adjective] mixed, blended together.

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Saṃkalita (ಸಂಕಲಿತ):—[noun] things collected or compiled together (from different places, sources); a compilation.

--- OR ---

Saṃkaḷita (ಸಂಕಳಿತ):—[adjective] = ಸಂಕಲಿತ [samkalita]1.

--- OR ---

Saṃkaḷita (ಸಂಕಳಿತ):—[noun] = ಸಂಕಲಿತ [samkalita]2.

context information

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

See also (Relevant definitions)

Partial matches: Kalita, Sam.

Starts with: Samkalitaikya, Samkalitajvara.

Ends with: Asamkalita, Bhinnasamkalita, Gunasamkalita, Pratyasamkalita, Utsamkalita.

Full-text (+9): Samkalia, Bhinnasamkalita, Pratyasamkalita, Samkalitin, Samkalitaikya, Bhinnasankalita, Sankalit, Mishrana, Yoga, Abhyasa, Yukti, Samyojana, Ekikarana, Prakshepana, Sammelana, Samkalana, Pratyasankalita, Kanacankalitam, Varukkacankalitam, Patiganita.

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Search found 2 books and stories containing Samkalita, Sam-kalita, Saṃ-kalitā, Saṃ-kalita, Saṃkalita, Saṃkaḷita, Saṃkalitā, Saṃkalita, Saṅ-kalitā, Saṅkalita, Sankaḷita, Saṅkalitā, Saṅkaḷita, Saṅkalīta, Saṅkaḷīta, Sankalita; (plurals include: Samkalitas, kalitas, kalitās, Saṃkalitas, Saṃkaḷitas, Saṃkalitās, Saṅkalitas, Sankaḷitas, Saṅkalitās, Saṅkaḷitas, Saṅkalītas, Saṅkaḷītas, Sankalitas). You can also click to the full overview containing English textual excerpts. Below are direct links for the most relevant articles:

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