# Samikarana, Samīkaraṇa: 14 definitions

## Introduction:

Samikarana means something in Hinduism, Sanskrit, Marathi, Hindi. 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.

Alternative spellings of this word include Samikaran.

## In Hinduism

### Shaivism (Shaiva philosophy)

Source: archive.org: SardhatrisatikalottaragamaSamīkaraṇa (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 MathematicsSamīkaraṇa (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:

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

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

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

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

*sakṛt-samīkaraṇa*(single equations) and*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 Dictionarysamīkaraṇa (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.

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 dictionarySamīkaraṇa (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*.

Samīkaraṇa (समीकरण).—n.

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

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

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

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.

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

#### [Sanskrit to 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 dictionarySamīkaraṇa (समीकरण) [Also spelled samikaran]:—(*nm*) equation; —, [*avakala*] differential equation; —, [*ekaghāta*] linear equation; —, [*samākala*] integral equation.

*context information*

...

### Kannada-English dictionary

Source: Alar: Kannada-English corpusSamīkaraṇa (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.

### Nepali dictionary

Source: unoes: Nepali-English DictionarySamīkaraṇa (समीकरण):—n. 1. leveling; equalization; adjustment; assimilation; 2. equation; reducing fractions to a common denominator;

*context information*

Nepali is the primary language of the Nepalese people counting almost 20 million native speakers. The country of Nepal is situated in the Himalaya mountain range to the north of India.

## See also (Relevant definitions)

Partial matches: Karana, Cami, Shami.

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

Full-text (+6): Ekavarnasamikarana, Anekavarnasamikarana, Ekavarna, Samikriya, Samikaran, Anekavarna, Asakrit, Shakrit, Dwighat-sameekaran, Taap-rasinic-sameekaran, Tapa-rasayanika-samikarana, Sakritsamikarana, Asakritsamikarana, Sama, Samakarana, Samikara, Sadrishikarana, Shamya, Samatva, Nyasa.

## Relevant text

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