discriminant

English

(deprecated template usage)

Noun

discriminant (plural discriminants)

1. (algebra) An expression that gives information about the roots of a polynomial; for example, the expression D = b² - 4ac determines whether the roots of the quadratic equation ax² + bx + c = 0 are real and distinct (D > 0), real and equal (D = 0) or complex (D < 0).
2. (geometry) The invariant (on the vector space of forms of degree d in n variables) that vanishes exactly when the corresponding hypersurface in P^n-1 is singular.

Derived terms

• discriminantal
• discriminant function
• discriminantly
• nondiscriminant

 

Translations

in algebra

• Danish: diskriminant
• Finnish: diskriminantti
• French: discriminant (fr) m
• Greek: διακρίνουσα (el) f (diakrínousa)
• Hungarian: diszkrimináns (hu)
• Polish: wyróżnik (pl) m
• (deprecated template usage) {{trans-mid}}
• Romanian: discriminant (ro) m
• Russian: дискримина́нт (ru) m (diskriminánt)
• Spanish: determinante (es)
• Swedish: diskriminant (sv) c
• Tagalog: talangi
• Thai: ดิสคริมิแนนต์

Adjective

discriminant (comparative more discriminant, superlative most discriminant)

1. Serving to discriminate.

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Catalan

Verb

discriminant

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Dutch

Pronunciation

• Audio:

  (file)

• Hyphenation: dis‧cri‧mi‧nant

Noun

discriminant m (plural discriminanten, diminutive discriminantje n)

1. (algebra) discriminant

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French

Pronunciation

• IPA^(key): /dis.kʁi.mi.nɑ̃/

• Audio (Paris):

  (file)

Noun

discriminant m (plural discriminants)

1. (mathematics) discriminant

Further reading

• “discriminant”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.

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Latin

Verb

(deprecated template usage) discrīminant

1. third-person plural present active indicative of discrīminō