Alternative spellings of this word include Samikaran.

In Hinduism

Shaivism (Shaiva philosophy)

Source: archive.org: Sardhatrisatikalottaragama

Samīkaraṇa (समीकरण) refers to “flattening (the earth)” which is prescribed as one of the operations/ preliminary ceremonies related to the kuṇḍa (“fire-pit”), according to the various Āgamas and related literature. Samīkaraṇa is mentioned in the Mṛgendra-āgama (Kriyā-pāda, chapter 6), Acintyaviśvasādākhya (chapter 14), Kiraṇa-āgama (kriyā-pāda, chpater 4) and the Ajita-āgama (Kriyā-pāda, chapter 21).

context information

Shaiva (शैव, śaiva) or Shaivism (śaivism) represents a tradition of Hinduism worshiping Shiva as the supreme being. Closely related to Shaktism, Shaiva literature includes a range of scriptures, including Tantras, while the root of this tradition may be traced back to the ancient Vedas.

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Samīkaraṇa (समीकरण) or Samīkāra refers to “equation” (lit. “making equal”), according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—The equation is called by Brahmagupta (628) in the Brāhmasphuṭasiddhānta samakaraṇa or samīkaraṇa (making equal) or more simply sama (equation). Pṛthūdakasvāmī (860) in his commentary on the Brāhmasphuṭasiddhānta employs also the term sāmya (equality or equation); and Śrīpati (1039) in the Siddhāntaśekhara uses sadṛśīkaraṇa (making similar). Nārāyaṇa (1350) in the Bījagaṇita uses the terms samīkaraṇa, sāmya and samatva (equality). An equation has always two pakṣa (side). This term occurs in the works of Śrīdhara, Padmanābha and others.

The earliest Hindu classification of equations seems to have been according to their degrees, such as simple (technically called yāvattāvat), quadratic (varga), cubic (ghana) and biquadratic (vargavarga). Reference to it is found in the Sthānāṅga-sūtra (verse 747) of circa 300 B.C.

Brahmagupta (628) in the Brāhmasphuṭasiddhānta has classified equations as:

1. equations in one unknown (ekavarṇa-samīkaraṇa),
2. equations in several unknowns (anekavarṇa-samīkaraṇa), and
3. equations involving products of unknowns (bhāvita).

Pṛthūdakasvāmī (860) in his commentary on the Brāhmasphuṭasiddhānta by Brahmagupta adopts four classes:

1. linear equations with one unknown (ekavarṇa-samīkaraṇa),
2. linear equations with more unknowns (anekavarṇa-samīkaraṇa),
3. equations with one, two or more unknowns in their second and higher powers (madhyamāharaṇa), and
4. equations involving products of unknowns (bhāvita).

Bhāskara II in the Bījagaṇita distinguishes two kinds of indeterminate equations:

1. sakṛt-samīkaraṇa (single equations) and
2. asakṛt-samīkaraṇa (multiple equations).

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

samīkaraṇa (समीकरण).—n S Equalizing; making equal, even, level, alike. 2 Summing up or adding together. 3 .bqe In algebra. Forming the equation; as vargasamīkaraṇa, ghanasamīkaraṇa. sa0 ghālaṇēṃ To put a problem in equations. sa0 sōḍaṇēṃ To solve it.

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

samīkaraṇa (समीकरण).—n Equalising. Summing up. Forming the equation. An equation.

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

Samīkaraṇa (समीकरण).—

1) Equalizing, levelling; Kull. on Manusmṛti 7.184.

2) Assimilation.

3) An equation.

4) (In arith.) Reduction of fractions to a common denominator.

5) (samīkaraṇam) A roller (to level a sown field).

Derivable forms: samīkaraṇam (समीकरणम्).

See also (synonyms): samīkriyā.

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

Samīkaraṇa (समीकरण).—n.

(-ṇaṃ) 1. Assimilation, digestion. 2. Equalizing, making equal to. 3. Equation, (in algebra.) E. sama, and karaṇa making, cvi augment.

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

Samīkaraṇa (समीकरण).—i. e. sama-kṛ + ana, n. 1. Equalising. 2. Assimilation, digestion, [Vedāntasāra, (in my Chrestomathy.)] in Chr. 207, 13.

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

Samīkaraṇa (समीकरण).—[neuter] [abstract] to seq. [with] kṛ; also assimilation, digestion.

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

1) Samīkaraṇa (समीकरण):—[=samī-karaṇa] [from samī > sama] a n. the act of making even, levelling, [Manvarthamuktāvalī, kullūka bhaṭṭa’s Commentary on manu-smṛti on Manu-smṛti vii, 184 etc.]

2) [v.s. ...] assimilation, [Vedāntasāra]

3) [v.s. ...] putting on a level with ([instrumental case]), [Manu-smṛti [Scholiast or Commentator]]

4) [v.s. ...] (in [arithmetic]) equation, [Bījagaṇita]

5) [v.s. ...] equalizing, setting to rights, [Chāndogya-upaniṣad [Scholiast or Commentator]]

6) [v.s. ...] a roller (to level a sown field), [cf. Lexicographers, esp. such as amarasiṃha, halāyudha, hemacandra, etc.]

7) [=samī-karaṇa] b samī-√kri etc. See p. 1153, col. 2.

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

Samīkaraṇa (समीकरण):—[samī-karaṇa] (ṇaṃ) 1. n. Equalizing; equation.

[Sanskrit to German]

Samikarana 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

Samīkaraṇa (समीकरण) [Also spelled samikaran]:—(nm) equation; —, [avakala] differential equation; —, [ekaghāta] linear equation; —, [samākala] integral equation.

context information

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Kannada-English dictionary

Source: Alar: Kannada-English corpus

Samīkaraṇa (ಸಮೀಕರಣ):—

1) [noun] the act of leveling, making (the surface of something) level; a flattening.

2) [noun] an assimilating or being assimilated.

3) [noun] the act of equating; equation; equalisation.

4) [noun] the state of being equated; equality.

5) [noun] a statement of equality between two quantities, as shown by the equal sign ( =); an equation.

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: Karana, Shami.

Ends with: Anekavarnasamikarana, Asakritsamikarana, Asamikarana, Dvighata-samikarana, Ekavarnasamikarana, Ghanasamikarana, Sakritsamikarana, Tapa-rasayanika-samikarana, Vargasamikarana.

Full-text (+3): Ekavarnasamikarana, Anekavarnasamikarana, Ekavarna, Samikriya, Anekavarna, Asakrit, Shakrit, Samikaran, Asakritsamikarana, Sakritsamikarana, Sadrishikarana, Sama, Samakarana, Samikara, Shamya, Samatva, Nyasa, Kunda, Samashodhana, Madhyamaharana.

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