See self-adjoint on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "self", "3": "adjoint" }, "expansion": "self- + adjoint", "name": "prefix" } ], "etymology_text": "From self- + adjoint.", "head_templates": [ { "args": { "1": "-" }, "expansion": "self-adjoint (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "76 24", "kind": "other", "name": "English terms prefixed with self-", "parents": [], "source": "w+disamb" } ], "glosses": [ "Adjoint to itself." ], "id": "en-self-adjoint-en-adj-isIEQKN2", "links": [ [ "mathematics", "mathematics" ], [ "Adjoint", "adjoint" ] ], "raw_glosses": [ "(mathematics) Adjoint to itself." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Functional analysis", "orig": "en:Functional analysis", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "28 72", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "10 90", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "22 78", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "8 92", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "12 88", "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w+disamb" }, { "_dis": "14 86", "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w+disamb" } ], "glosses": [ "Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space." ], "id": "en-self-adjoint-en-adj-9sqMMWyL", "links": [ [ "functional analysis", "functional analysis" ], [ "Hilbert space", "Hilbert space" ], [ "operator", "operator" ], [ "Hermitian", "Hermitian" ], [ "eigenvector", "eigenvector" ] ], "qualifier": "functional analysis", "raw_glosses": [ "(functional analysis) Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space." ], "tags": [ "not-comparable" ], "translations": [ { "_dis1": "13 87", "code": "fr", "lang": "French", "sense": "Translations", "word": "autoadjoint" }, { "_dis1": "13 87", "code": "de", "lang": "German", "sense": "Translations", "word": "selbstadjungiert" } ] } ], "wikipedia": [ "self-adjoint" ], "word": "self-adjoint" }
{ "categories": [ "English adjectives", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English terms prefixed with self-", "English uncomparable adjectives", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with French translations", "Terms with German translations", "Translation table header lacks gloss" ], "etymology_templates": [ { "args": { "1": "en", "2": "self", "3": "adjoint" }, "expansion": "self- + adjoint", "name": "prefix" } ], "etymology_text": "From self- + adjoint.", "head_templates": [ { "args": { "1": "-" }, "expansion": "self-adjoint (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "en:Mathematics" ], "glosses": [ "Adjoint to itself." ], "links": [ [ "mathematics", "mathematics" ], [ "Adjoint", "adjoint" ] ], "raw_glosses": [ "(mathematics) Adjoint to itself." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "en:Functional analysis" ], "glosses": [ "Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space." ], "links": [ [ "functional analysis", "functional analysis" ], [ "Hilbert space", "Hilbert space" ], [ "operator", "operator" ], [ "Hermitian", "Hermitian" ], [ "eigenvector", "eigenvector" ] ], "qualifier": "functional analysis", "raw_glosses": [ "(functional analysis) Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space." ], "tags": [ "not-comparable" ] } ], "translations": [ { "code": "fr", "lang": "French", "sense": "Translations", "word": "autoadjoint" }, { "code": "de", "lang": "German", "sense": "Translations", "word": "selbstadjungiert" } ], "wikipedia": [ "self-adjoint" ], "word": "self-adjoint" }
Download raw JSONL data for self-adjoint meaning in All languages combined (1.8kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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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