"hyperlinear" meaning in All languages combined

See hyperlinear on Wiktionary

Adjective [English]

Forms: more hyperlinear [comparative], most hyperlinear [superlative]
Etymology: From hyper- + linear. Etymology templates: {{prefix|en|hyper|linear}} hyper- + linear Head templates: {{en-adj}} hyperlinear (comparative more hyperlinear, superlative most hyperlinear)
  1. (dermatology) Having unusually pronounced creases marking the skin. Categories (topical): Dermatology
    Sense id: en-hyperlinear-en-adj-cxADj~Oh Topics: dermatology, medicine, sciences
  2. (mathematics, of groups) Displaying a generalization of sofic that applies to finite-dimensional Hilbert spaces. Categories (topical): Mathematics
    Sense id: en-hyperlinear-en-adj-0ZZyIHdo Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 6 48 24 12 10 Disambiguation of Pages with 1 entry: 5 52 27 8 7 Disambiguation of Pages with entries: 3 57 25 11 4 Topics: mathematics, sciences
  3. (mathematics, of a function of hyperreals) Both additive and homogeneous for hyperreal scalars. Categories (topical): Mathematics
    Sense id: en-hyperlinear-en-adj-bwxBqPls Topics: mathematics, sciences
  4. (mathematics, of a sequence) Converging very quickly to a limit so that the ratio of adjacent terms tends to zero. Categories (topical): Mathematics
    Sense id: en-hyperlinear-en-adj-eoP4i0Uy Categories (other): English terms prefixed with hyper- Disambiguation of English terms prefixed with hyper-: 13 20 11 37 19 Topics: mathematics, sciences
  5. (mathematics, curve fitting) Increasing exponentially or as a higher polynomial power. Categories (topical): Mathematics
    Sense id: en-hyperlinear-en-adj-qmjEs0ew Topics: mathematics, sciences
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          "text": "Indeed, by a profound result of E. Kirchberg, F. Radulescu and N. Ozawa, a group is hyperlinear if and only if it satisfies the Connes embedding conjecture for groups, that is, if and only if its von Neumann algebra embeds into an ultrapower of the hyperfinite II₁ factor R.",
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          "ref": "1986, Functiones Et Approximatio Commentarii Mathematici:",
          "text": "We say that a hyperlinear fuzzy function, f say, strictly separates two fuzzy subsets A and B iff the fuzzy hyperplane determined by f and some point x₀ ϵ X strictly separates A and B",
          "type": "quote"
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      ],
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      "id": "en-hyperlinear-en-adj-bwxBqPls",
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        "(mathematics, of a function of hyperreals) Both additive and homogeneous for hyperreal scalars."
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          "ref": "2007, William H. Press, Numerical Recipes 3rd Edition: The Art of Scientific Computing, →ISBN:",
          "text": "We see that hyperlinear convergence doesn't necessarily imply that the series is easy to evaluate for all values of x.",
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        "(mathematics, of a sequence) Converging very quickly to a limit so that the ratio of adjacent terms tends to zero."
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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 2025-01-23 from the enwiktionary dump dated 2025-01-20 using wiktextract (0c0c1f1 and 4230888). 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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