"quadratic form" meaning in All languages combined

See quadratic form on Wiktionary

Noun [English]

Forms: quadratic forms [plural]
Head templates: {{en-noun}} quadratic form (plural quadratic forms)
  1. (mathematics, number theory, algebra) A homogeneous polynomial of degree 2 in a given number of variables. Categories (topical): Algebra, Mathematics, Number theory Translations (homogeneous polynomial of degree 2): forma quadràtica [feminine] (Catalan), forma quadratica [feminine] (Italian), forma cuadrática [feminine] (Spanish)
    Sense id: en-quadratic_form-en-noun-FV8Wf~3u Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Catalan translations, Terms with Italian translations, Terms with Spanish translations, Polynomials Disambiguation of English entries with incorrect language header: 51 49 Disambiguation of Entries with translation boxes: 56 44 Disambiguation of Pages with 1 entry: 54 46 Disambiguation of Pages with entries: 54 46 Disambiguation of Terms with Catalan translations: 57 43 Disambiguation of Terms with Italian translations: 58 42 Disambiguation of Terms with Spanish translations: 58 42 Disambiguation of Polynomials: 68 32 Topics: algebra, mathematics, number-theory, sciences Disambiguation of 'homogeneous polynomial of degree 2': 78 22
  2. (statistics, multivariate statistics) A scalar quantity of the form εᵀΛε, where ε is a vector of n random variables, and Λ is an n-dimensional symmetric matrix. Categories (topical): Statistics
    Sense id: en-quadratic_form-en-noun-CiyepHkB Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 51 49 Disambiguation of Pages with 1 entry: 54 46 Disambiguation of Pages with entries: 54 46 Topics: mathematics, sciences, statistics

Inflected forms

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          "text": "2009, R. Parimala, V. Suresh, J.-P. Tignol, On the Pfister Number of Quadratic Forms, Ricardo Baeza, Quadratic Forms—Algebra, Arithmetic, and Geometry, American Mathematical Society, page 327,\nThe generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of characteristic different from 2 containing a square root of −1 can be written in the Witt ring as a sum of 2-fold Pfister forms using n − 2 terms and not less. The number of Pfister forms required to express a quadratic form of degree 6 with trivial discriminant is determined in various cases."
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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