See solvable in All languages combined, or Wiktionary
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Piecewise doublet of soluble.\nThe mathematical senses derive from Galois theory: Galois discovered that one could determine whether a given polynomial could be solved by radicals by studying the properties of a particular group attached to a particular field extension deriving from the polynomial in question; if the group satisfies some conditions then polynomial can be solved by radicals. Any group meeting these conditions — whether or not it arises from this process — is thus called solvable, as is any field extension giving rise to such a group. The Lie-theoretic sense is by analogy, the study of Lie algebras deriving much of its terminology from group theory. 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His occult breathings to her might be solvable by his course in that respect.", "type": "quote" }, { "ref": "2010, Howard Jacobson, The Finkler Question, New York: Bloomsbury, Part 1, Chapter 4, p. 97:", "text": "This is a mystery that is solvable with a phone call.", "type": "quote" } ], "glosses": [ "Capable of being solved." ], "id": "en-solvable-en-adj-xJdUv8Gc", "links": [ [ "solve", "solve" ] ], "synonyms": [ { "word": "soluble" } ], "translations": [ { "_dis1": "73 1 1 1 1 11 2 11", "code": "hy", "lang": "Armenian", "roman": "luceli", "sense": "capable of being solved", "word": "լուծելի" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "cs", "lang": "Czech", "sense": "capable of being solved", "tags": [ "masculine" ], "word": "řešitelný" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "eo", "lang": "Esperanto", "sense": "capable of being solved", "word": "solvebla" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "fi", "lang": "Finnish", "sense": "capable of being solved", "word": "ratkeava" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "fr", "lang": "French", "sense": "capable of being solved", "word": "résoluble" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "de", "lang": "German", "sense": "capable of being solved", "word": "lösbar" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "he", "lang": "Hebrew", "roman": "Pathir", "sense": "capable of being solved", "tags": [ "masculine" ], "word": "פתיר" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "hu", "lang": "Hungarian", "sense": "capable of being solved", "word": "megoldható" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "hu", "lang": "Hungarian", "sense": "capable of being solved", "word": "megfejthető" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ja", "lang": "Japanese", "roman": "kaiketsu dekiru", "sense": "capable of being solved", "word": "解決できる" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ja", "lang": "Japanese", "roman": "tokeru", "sense": "capable of being solved", "word": "解ける" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ja", "lang": "Japanese", "roman": "warikireru", "sense": "capable of being solved", "word": "割り切れる" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "pt", "lang": "Portuguese", "sense": "capable of being solved", "word": "solúvel" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "masculine", "neuter" ], "word": "plătibil" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "masculine", "neuter" ], "word": "solvabil" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "feminine" ], "word": "solvabilă" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "es", "lang": "Spanish", "sense": "capable of being solved", "word": "soluble" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "es", "lang": "Spanish", "sense": "capable of being solved", "word": "solucionable" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "sv", "lang": "Swedish", "sense": "capable of being solved", "word": "lösbar" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "fi", "lang": "Finnish", "sense": "capable of being solved", "word": "liukeneva" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "fr", "lang": "French", "sense": "capable of being solved", "word": "soluble" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "de", "lang": "German", "sense": "capable of being solved", "word": "löslich" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ja", "lang": "Japanese", "roman": "tokaseru", "sense": "capable of being solved", "word": "溶かせる" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "masculine", "neuter" ], "word": "solubil (chim.)" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "masculine", "neuter" ], "word": "dizolvabil" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "feminine" ], "word": "dizolvabilă" }, { "_dis1": "73 1 1 1 1 11 2 11", "code": "sv", "lang": "Swedish", "sense": "capable of being solved", "word": "löslig" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Group theory", "orig": "en:Group theory", "parents": [ "Algebra", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "Having terminating derived series; 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[…], London: […] Iohn Williams […], →OCLC, (please specify |book=I to XI), page 131:", "text": "[…] although imprisonment was imposed by law on persons not solvable, yet officers were unwilling to cast them into goale,", "type": "quote" }, { "ref": "1703, John Dennis, A Proposal for Putting a Speedy End to the War, London: Daniel Brown and Andrew Bell, page 19:", "text": "The Government is solvable in case of Loss, whereas private Men often fail;", "type": "quote" } ], "glosses": [ "Able to pay one's debts." ], "id": "en-solvable-en-adj-G8fXdA76", "links": [ [ "debt", "debt" ] ], "raw_glosses": [ "(obsolete) Able to pay one's debts." ], "synonyms": [ { "word": "solvent" } ], "tags": [ "obsolete" ] }, { "categories": [], "examples": [ { "text": "solvable obligations" } ], "glosses": [ "Capable of being paid and discharged." ], "id": "en-solvable-en-adj-IsTXRZxu", "links": [ [ "discharge", "discharge" ] ], "raw_glosses": [ "(obsolete, rare) Capable of being paid and discharged." ], "tags": [ "obsolete", "rare" ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-Vealhurl-solvable.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/8/84/LL-Q1860_%28eng%29-Vealhurl-solvable.wav/LL-Q1860_%28eng%29-Vealhurl-solvable.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/8/84/LL-Q1860_%28eng%29-Vealhurl-solvable.wav/LL-Q1860_%28eng%29-Vealhurl-solvable.wav.ogg" } ], "synonyms": [ { "_dis1": "0 0 0 0 0 0 0 0", "tags": [ "obsolete" ], "word": "solvible" } ], "wikipedia": [ "Galois theory", "Solution in radicals", "solvable", "Évariste Galois" ], "word": "solvable" }
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Piecewise doublet of soluble.\nThe mathematical senses derive from Galois theory: Galois discovered that one could determine whether a given polynomial could be solved by radicals by studying the properties of a particular group attached to a particular field extension deriving from the polynomial in question; if the group satisfies some conditions then polynomial can be solved by radicals. Any group meeting these conditions — whether or not it arises from this process — is thus called solvable, as is any field extension giving rise to such a group. The Lie-theoretic sense is by analogy, the study of Lie algebras deriving much of its terminology from group theory. 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His occult breathings to her might be solvable by his course in that respect.", "type": "quote" }, { "ref": "2010, Howard Jacobson, The Finkler Question, New York: Bloomsbury, Part 1, Chapter 4, p. 97:", "text": "This is a mystery that is solvable with a phone call.", "type": "quote" } ], "glosses": [ "Capable of being solved." ], "links": [ [ "solve", "solve" ] ], "synonyms": [ { "word": "soluble" } ] }, { "categories": [ "en:Group theory", "en:Mathematics" ], "glosses": [ "Having terminating derived series; see Solvable group on Wikipedia.Wikipedia" ], "links": [ [ "mathematics", "mathematics" ], [ "group theory", "group theory" ], [ "group", "group" ], [ "derived series", "derived series" ], [ "Solvable group", "w:en" ] ], "raw_glosses": [ "(mathematics, group theory, of a group) Having terminating derived series; see Solvable group on Wikipedia.Wikipedia" ], "raw_tags": [ "of a group" ], "topics": [ "group-theory", "mathematics", "sciences" ] }, { "categories": [ "en:Mathematics" ], "glosses": [ "Having a Galois group which is solvable." ], "links": [ [ "mathematics", "mathematics" ], [ "Galois theory", "Galois theory" ], [ "Galois extension", "Galois extension" ], [ "Galois group", "Galois group" ] ], "qualifier": "Galois theory", "raw_glosses": [ "(mathematics, Galois theory, of a Galois extension) Having a Galois group which is solvable." ], "raw_tags": [ "of a Galois extension" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "en:Mathematics" ], "glosses": [ "Having terminating derived series (this is a distinct notion from the derived series of a group); see Solvable Lie algebra on Wikipedia.Wikipedia" ], "links": [ [ "mathematics", "mathematics" ], [ "Lie theory", "Lie theory" ], [ "Lie algebra", "Lie algebra" ], [ "derived series", "derived series" ], [ "Solvable Lie algebra", "w:Solvable Lie algebra" ] ], "qualifier": "Lie theory", "raw_glosses": [ "(mathematics, Lie theory, of a Lie algebra) Having terminating derived series (this is a distinct notion from the derived series of a group); see Solvable Lie algebra on Wikipedia.Wikipedia" ], "raw_tags": [ "of a Lie algebra" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "en:Computer science" ], "glosses": [ "Such that the set of inputs for which the answer is yes is recursively enumerable." ], "links": [ [ "computer science", "computer science" ], [ "decision problem", "decision problem" ], [ "recursively enumerable", "recursively enumerable" ] ], "raw_glosses": [ "(computer science, of a decision problem) Such that the set of inputs for which the answer is yes is recursively enumerable." ], "raw_tags": [ "of a decision problem" ], "topics": [ "computer", "computing", "engineering", "mathematics", "natural-sciences", "physical-sciences", "science", "sciences" ] }, { "antonyms": [ { "word": "unsolvable" }, { "word": "insolvable" }, { "word": "insoluble" } ], "categories": [ "English terms with obsolete senses" ], "examples": [ { "text": "1664, John Chandler (translator), Van Helmont’s Works, London: Lodowick Lloyd, A Treatise of Fevers, Chapter 8, p. 971,\n[…] they administer Pearles, and Corrals being beaten to dust or dissolved in distilled vinegar, or the juice of limons, and again dryed, and solvable in any potable liquour:" } ], "glosses": [ "Capable of being dissolved or liquefied." ], "links": [ [ "dissolve", "dissolve" ], [ "liquefied", "liquefy" ] ], "raw_glosses": [ "(obsolete) Capable of being dissolved or liquefied." ], "synonyms": [ { "word": "soluble" } ], "tags": [ "obsolete" ] }, { "categories": [ "English terms with obsolete senses", "English terms with quotations" ], "examples": [ { "ref": "1655, Thomas Fuller, “Section 4”, in The Church-history of Britain; […], London: […] Iohn Williams […], →OCLC, (please specify |book=I to XI), page 131:", "text": "[…] although imprisonment was imposed by law on persons not solvable, yet officers were unwilling to cast them into goale,", "type": "quote" }, { "ref": "1703, John Dennis, A Proposal for Putting a Speedy End to the War, London: Daniel Brown and Andrew Bell, page 19:", "text": "The Government is solvable in case of Loss, whereas private Men often fail;", "type": "quote" } ], "glosses": [ "Able to pay one's debts." ], "links": [ [ "debt", "debt" ] ], "raw_glosses": [ "(obsolete) Able to pay one's debts." ], "synonyms": [ { "word": "solvent" } ], "tags": [ "obsolete" ] }, { "categories": [ "English terms with obsolete senses", "English terms with rare senses" ], "examples": [ { "text": "solvable obligations" } ], "glosses": [ "Capable of being paid and discharged." ], "links": [ [ "discharge", "discharge" ] ], "raw_glosses": [ "(obsolete, rare) Capable of being paid and discharged." ], "tags": [ "obsolete", "rare" ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-Vealhurl-solvable.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/8/84/LL-Q1860_%28eng%29-Vealhurl-solvable.wav/LL-Q1860_%28eng%29-Vealhurl-solvable.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/8/84/LL-Q1860_%28eng%29-Vealhurl-solvable.wav/LL-Q1860_%28eng%29-Vealhurl-solvable.wav.ogg" } ], "synonyms": [ { "tags": [ "obsolete" ], "word": "solvible" } ], "translations": [ { "code": "hy", "lang": "Armenian", "roman": "luceli", "sense": "capable of being solved", "word": "լուծելի" }, { "code": "cs", "lang": "Czech", "sense": "capable of being solved", "tags": [ "masculine" ], "word": "řešitelný" }, { "code": "eo", "lang": "Esperanto", "sense": "capable of being solved", "word": "solvebla" }, { "code": "fi", "lang": "Finnish", "sense": "capable of being solved", "word": "ratkeava" }, { "code": "fr", "lang": "French", "sense": "capable of being solved", "word": "résoluble" }, { "code": "de", "lang": "German", "sense": "capable of being solved", "word": "lösbar" }, { "code": "he", "lang": "Hebrew", "roman": "Pathir", "sense": "capable of being solved", "tags": [ "masculine" ], "word": "פתיר" }, { "code": "hu", "lang": "Hungarian", "sense": "capable of being solved", "word": "megoldható" }, { "code": "hu", "lang": "Hungarian", "sense": "capable of being solved", "word": "megfejthető" }, { "code": "ja", "lang": "Japanese", "roman": "kaiketsu dekiru", "sense": "capable of being solved", "word": "解決できる" }, { "code": "ja", "lang": "Japanese", "roman": "tokeru", "sense": "capable of being solved", "word": "解ける" }, { "code": "ja", "lang": "Japanese", "roman": "warikireru", "sense": "capable of being solved", "word": "割り切れる" }, { "code": "pt", "lang": "Portuguese", "sense": "capable of being solved", "word": "solúvel" }, { "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "masculine", "neuter" ], "word": "plătibil" }, { "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "masculine", "neuter" ], "word": "solvabil" }, { "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "feminine" ], "word": "solvabilă" }, { "code": "es", "lang": "Spanish", "sense": "capable of being solved", "word": "soluble" }, { "code": "es", "lang": "Spanish", "sense": "capable of being solved", "word": "solucionable" }, { "code": "sv", "lang": "Swedish", "sense": "capable of being solved", "word": "lösbar" }, { "code": "fi", "lang": "Finnish", "sense": "capable of being solved", "word": "liukeneva" }, { "code": "fr", "lang": "French", "sense": "capable of being solved", "word": "soluble" }, { "code": "de", "lang": "German", "sense": "capable of being solved", "word": "löslich" }, { "code": "ja", "lang": "Japanese", "roman": "tokaseru", "sense": "capable of being solved", "word": "溶かせる" }, { "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "masculine", "neuter" ], "word": "solubil (chim.)" }, { "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "masculine", "neuter" ], "word": "dizolvabil" }, { "code": "ro", "lang": "Romanian", "sense": "capable of being solved", "tags": [ "feminine" ], "word": "dizolvabilă" }, { "code": "es", "lang": "Spanish", "sense": "capable of being solved", "word": "soluble" }, { "code": "sv", "lang": "Swedish", "sense": "capable of being solved", "word": "löslig" } ], "wikipedia": [ "Galois theory", "Solution in radicals", "solvable", "Évariste Galois" ], "word": "solvable" }
Download raw JSONL data for solvable meaning in English (11.7kB)
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This page is a part of the kaikki.org machine-readable English 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.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.