See hyperlinear on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "hyper", "3": "linear" }, "expansion": "hyper- + linear", "name": "prefix" } ], "etymology_text": "From hyper- + linear.", "forms": [ { "form": "more hyperlinear", "tags": [ "comparative" ] }, { "form": "most hyperlinear", "tags": [ "superlative" ] } ], "head_templates": [ { "args": {}, "expansion": "hyperlinear (comparative more hyperlinear, superlative most hyperlinear)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Dermatology", "orig": "en:Dermatology", "parents": [ "Medicine", "Biology", "Healthcare", "Sciences", "Health", "All topics", "Body", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2015, Thomas P. Habif, Clinical Dermatology, →ISBN, page 165:", "text": "Atopic patients with ichthyosis vulgaris often have keratosis pilaris and hyperlinear, exaggerated palm creases.", "type": "quote" } ], "glosses": [ "Having unusually pronounced creases marking the skin." ], "id": "en-hyperlinear-en-adj-cxADj~Oh", "links": [ [ "dermatology", "dermatology" ] ], "raw_glosses": [ "(dermatology) Having unusually pronounced creases marking the skin." ], "topics": [ "dermatology", "medicine", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "6 48 24 12 10", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "5 52 27 8 7", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "3 57 25 11 4", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" } ], "examples": [ { "ref": "2010, Tullio Ceccherini-Silberstein, Michel Coornaert, Cellular Automata and Groups, →ISBN, page 277:", "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.", "type": "quote" } ], "glosses": [ "Displaying a generalization of sofic that applies to finite-dimensional Hilbert spaces." ], "id": "en-hyperlinear-en-adj-0ZZyIHdo", "links": [ [ "mathematics", "mathematics" ], [ "sofic", "sofic" ], [ "Hilbert space", "Hilbert space" ] ], "raw_glosses": [ "(mathematics, of groups) Displaying a generalization of sofic that applies to finite-dimensional Hilbert spaces." ], "raw_tags": [ "of groups" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "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" } ], "glosses": [ "Both additive and homogeneous for hyperreal scalars." ], "id": "en-hyperlinear-en-adj-bwxBqPls", "links": [ [ "mathematics", "mathematics" ], [ "additive", "additive" ], [ "homogeneous", "homogeneous" ], [ "hyperreal", "hyperreal" ], [ "scalar", "scalar" ] ], "raw_glosses": [ "(mathematics, of a function of hyperreals) Both additive and homogeneous for hyperreal scalars." ], "raw_tags": [ "of a function of hyperreals" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "13 20 11 37 19", "kind": "other", "name": "English terms prefixed with hyper-", "parents": [], "source": "w+disamb" } ], "examples": [ { "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.", "type": "quote" } ], "glosses": [ "Converging very quickly to a limit so that the ratio of adjacent terms tends to zero." ], "id": "en-hyperlinear-en-adj-eoP4i0Uy", "links": [ [ "mathematics", "mathematics" ], [ "Converging", "converge" ], [ "ratio", "ratio" ], [ "adjacent", "adjacent" ] ], "raw_glosses": [ "(mathematics, of a sequence) Converging very quickly to a limit so that the ratio of adjacent terms tends to zero." ], "raw_tags": [ "of a sequence" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "1981, Doklady: Proceedings of the Academy of Sciences of the USSR:", "text": "It has been shown in [3] that, at low excitation intensities, the dependence of the emission intensity from a single crystal of AgBr(I) on the excitation intensity is linear while, at high excitation intensities, it becomes hyperlinear.", "type": "quote" } ], "glosses": [ "Increasing exponentially or as a higher polynomial power." ], "id": "en-hyperlinear-en-adj-qmjEs0ew", "links": [ [ "mathematics", "mathematics" ] ], "qualifier": "curve fitting", "raw_glosses": [ "(mathematics, curve fitting) Increasing exponentially or as a higher polynomial power." ], "topics": [ "mathematics", "sciences" ] } ], "word": "hyperlinear" }
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Download raw JSONL data for hyperlinear meaning in All languages combined (4.3kB)
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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