See Fibonacci sequence on Wiktionary
{ "etymology_text": "Named after the Italian mathematician later known as Fibonacci (c.1175 – c.1250), who introduced the sequence to a European readership in his 1202 book Liber Abaci.", "forms": [ { "form": "Fibonacci sequences", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Fibonacci sequence (plural Fibonacci sequences)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "1999, Walter Steurer, Torsten Heibach, “3. Crystallography of Quasicrystals”, in Zbigniew M. Stadnik, editor, Physical Properties of Quasicrystals, Springer, page 60:", "text": "If the Fibonacci sequence is chosen for the quasiperiodic direction of a 1D QC,^([quasicrystal]) it may simply be called a Fibonacci phase.", "type": "quote" }, { "ref": "2000, Martin Nowak, Robert M. May, Virus Dynamics: Mathematical Principles of Immunology and Virology, Oxford University Press, page 6:", "text": "The number of adult rabbit pairs being present in consecutive months is then given by the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, ... (every term is the sum of its two predecessors). This work can be seen as the very beginning of mathematical biology, though one has to admit that the Fibonacci sequence exerts a greater fascination for number theorists than for reproductive biologists.", "type": "quote" }, { "ref": "2009, Roger V. Jean, Phyllotaxis: A Systemic Study in Plant Morphogenesis, Cambridge University Press, page 1:", "text": "In a well-known chapter on phyllotaxis, Coxeter (1969) calls the appearance of the Fibonacci sequence in botany a \"fascinatingly prevalent tendency,\" called by Cook (1914) the \"Law of Wiesner.\" The prevalence of the Fibonacci sequence in phyllotactic patterns is often referred to as “the mystery of phyllotaxis,” and “the bugbear of botanists.”", "type": "quote" } ], "glosses": [ "The sequence of integers, each of which is the sum of the preceding two, the first and second numbers both being 1." ], "id": "en-Fibonacci_sequence-en-noun-mcm2uL1n", "links": [ [ "mathematics", "mathematics" ], [ "integer", "integer" ], [ "sum", "sum" ] ], "raw_glosses": [ "(mathematics) The sequence of integers, each of which is the sum of the preceding two, the first and second numbers both being 1." ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "26 74", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "17 83", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "39 61", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "11 89", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "29 71", "kind": "other", "name": "Terms with Czech translations", "parents": [], "source": "w+disamb" }, { "_dis": "20 80", "kind": "other", "name": "Terms with Estonian translations", "parents": [], "source": "w+disamb" }, { "_dis": "19 81", "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w+disamb" }, { "_dis": "18 82", "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w+disamb" }, { "_dis": "19 81", "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w+disamb" }, { "_dis": "29 71", "kind": "other", "name": "Terms with Hungarian translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 85", "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 85", "kind": "other", "name": "Terms with Japanese translations", "parents": [], "source": "w+disamb" }, { "_dis": "22 78", "kind": "other", "name": "Terms with Mandarin translations", "parents": [], "source": "w+disamb" }, { "_dis": "20 80", "kind": "other", "name": "Terms with Portuguese translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 85", "kind": "other", "name": "Terms with Russian translations", "parents": [], "source": "w+disamb" }, { "_dis": "17 83", "kind": "other", "name": "Terms with Turkish translations", "parents": [], "source": "w+disamb" } ], "examples": [ { "ref": "1977, Scientific American, volume 236, page 137:", "text": "Indeed, these pairs belong to a Fibonacci sequence of what are called Lucas numbers that begins 2, 1, 3, 4, 7, 11,...", "type": "quote" }, { "text": "2007, Anthony Nicolaides, Make The Grade At GCSE Mathematics, Higher Tier, P.A.S.S. Publications, 3rd Edition, page 169,\n19. The first two terms of a Fibonacci sequence are a and b. Write out a few terms." } ], "glosses": [ "Any sequence of numbers such that each is the sum of the preceding two." ], "id": "en-Fibonacci_sequence-en-noun-~t7jdf9z", "links": [ [ "mathematics", "mathematics" ], [ "number", "number" ] ], "raw_glosses": [ "(mathematics) Any sequence of numbers such that each is the sum of the preceding two." ], "related": [ { "_dis1": "40 60", "word": "Fibonacci number" }, { "_dis1": "40 60", "word": "Fibonacci spiral" }, { "_dis1": "40 60", "word": "Lucas sequence" }, { "_dis1": "40 60", "word": "Tribonacci" } ], "synonyms": [ { "_dis1": "40 60", "word": "Fibonacci's sequence" } ], "topics": [ "mathematics", "sciences" ], "translations": [ { "_dis1": "25 75", "code": "cmn", "lang": "Chinese Mandarin", "sense": "sequence of numbers", "word": "斐波那契數列" }, { "_dis1": "25 75", "code": "cmn", "lang": "Chinese Mandarin", "roman": "Fěibōnàqì shùliè", "sense": "sequence of numbers", "word": "斐波那契数列" }, { "_dis1": "25 75", "code": "cs", "lang": "Czech", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "Fibonacciho posloupnost" }, { "_dis1": "25 75", "code": "et", "lang": "Estonian", "sense": "sequence of numbers", "word": "Fibonacci rida" }, { "_dis1": "25 75", "code": "fi", "lang": "Finnish", "sense": "sequence of numbers", "word": "Fibonaccin lukujono" }, { "_dis1": "25 75", "code": "fr", "lang": "French", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "suite de Fibonacci" }, { "_dis1": "25 75", "code": "de", "lang": "German", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "Fibonaccifolge" }, { "_dis1": "25 75", "code": "hu", "lang": "Hungarian", "sense": "sequence of numbers", "word": "Fibonacci-sorozat" }, { "_dis1": "25 75", "code": "it", "lang": "Italian", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "successione di Fibonacci" }, { "_dis1": "25 75", "code": "ja", "lang": "Japanese", "roman": "Fibonatchi-sūretsu", "sense": "sequence of numbers", "word": "フィボナッチ数列" }, { "_dis1": "25 75", "code": "pt", "lang": "Portuguese", "sense": "sequence of numbers", "word": "sucessão de Fibonacci" }, { "_dis1": "25 75", "code": "pt", "lang": "Portuguese", "sense": "sequence of numbers", "word": "sequência de Fibonacci" }, { "_dis1": "25 75", "code": "ru", "lang": "Russian", "roman": "poslédovatelʹnostʹ Fibonáčči", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "после́довательность Фибона́ччи" }, { "_dis1": "25 75", "code": "tr", "lang": "Turkish", "sense": "sequence of numbers", "word": "Fibonacci dizisi" } ] } ], "wikipedia": [ "Fibonacci number", "Liber Abaci" ], "word": "Fibonacci sequence" }
{ "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Czech translations", "Terms with Estonian translations", "Terms with Finnish translations", "Terms with French translations", "Terms with German translations", "Terms with Hungarian translations", "Terms with Italian translations", "Terms with Japanese translations", "Terms with Mandarin translations", "Terms with Portuguese translations", "Terms with Russian translations", "Terms with Turkish translations" ], "etymology_text": "Named after the Italian mathematician later known as Fibonacci (c.1175 – c.1250), who introduced the sequence to a European readership in his 1202 book Liber Abaci.", "forms": [ { "form": "Fibonacci sequences", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Fibonacci sequence (plural Fibonacci sequences)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "Fibonacci number" }, { "word": "Fibonacci spiral" }, { "word": "Lucas sequence" }, { "word": "Tribonacci" } ], "senses": [ { "categories": [ "English terms with quotations", "en:Mathematics" ], "examples": [ { "ref": "1999, Walter Steurer, Torsten Heibach, “3. Crystallography of Quasicrystals”, in Zbigniew M. Stadnik, editor, Physical Properties of Quasicrystals, Springer, page 60:", "text": "If the Fibonacci sequence is chosen for the quasiperiodic direction of a 1D QC,^([quasicrystal]) it may simply be called a Fibonacci phase.", "type": "quote" }, { "ref": "2000, Martin Nowak, Robert M. May, Virus Dynamics: Mathematical Principles of Immunology and Virology, Oxford University Press, page 6:", "text": "The number of adult rabbit pairs being present in consecutive months is then given by the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, ... (every term is the sum of its two predecessors). This work can be seen as the very beginning of mathematical biology, though one has to admit that the Fibonacci sequence exerts a greater fascination for number theorists than for reproductive biologists.", "type": "quote" }, { "ref": "2009, Roger V. Jean, Phyllotaxis: A Systemic Study in Plant Morphogenesis, Cambridge University Press, page 1:", "text": "In a well-known chapter on phyllotaxis, Coxeter (1969) calls the appearance of the Fibonacci sequence in botany a \"fascinatingly prevalent tendency,\" called by Cook (1914) the \"Law of Wiesner.\" The prevalence of the Fibonacci sequence in phyllotactic patterns is often referred to as “the mystery of phyllotaxis,” and “the bugbear of botanists.”", "type": "quote" } ], "glosses": [ "The sequence of integers, each of which is the sum of the preceding two, the first and second numbers both being 1." ], "links": [ [ "mathematics", "mathematics" ], [ "integer", "integer" ], [ "sum", "sum" ] ], "raw_glosses": [ "(mathematics) The sequence of integers, each of which is the sum of the preceding two, the first and second numbers both being 1." ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "English terms with quotations", "en:Mathematics" ], "examples": [ { "ref": "1977, Scientific American, volume 236, page 137:", "text": "Indeed, these pairs belong to a Fibonacci sequence of what are called Lucas numbers that begins 2, 1, 3, 4, 7, 11,...", "type": "quote" }, { "text": "2007, Anthony Nicolaides, Make The Grade At GCSE Mathematics, Higher Tier, P.A.S.S. Publications, 3rd Edition, page 169,\n19. The first two terms of a Fibonacci sequence are a and b. Write out a few terms." } ], "glosses": [ "Any sequence of numbers such that each is the sum of the preceding two." ], "links": [ [ "mathematics", "mathematics" ], [ "number", "number" ] ], "raw_glosses": [ "(mathematics) Any sequence of numbers such that each is the sum of the preceding two." ], "topics": [ "mathematics", "sciences" ] } ], "synonyms": [ { "word": "Fibonacci's sequence" } ], "translations": [ { "code": "cmn", "lang": "Chinese Mandarin", "sense": "sequence of numbers", "word": "斐波那契數列" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "Fěibōnàqì shùliè", "sense": "sequence of numbers", "word": "斐波那契数列" }, { "code": "cs", "lang": "Czech", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "Fibonacciho posloupnost" }, { "code": "et", "lang": "Estonian", "sense": "sequence of numbers", "word": "Fibonacci rida" }, { "code": "fi", "lang": "Finnish", "sense": "sequence of numbers", "word": "Fibonaccin lukujono" }, { "code": "fr", "lang": "French", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "suite de Fibonacci" }, { "code": "de", "lang": "German", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "Fibonaccifolge" }, { "code": "hu", "lang": "Hungarian", "sense": "sequence of numbers", "word": "Fibonacci-sorozat" }, { "code": "it", "lang": "Italian", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "successione di Fibonacci" }, { "code": "ja", "lang": "Japanese", "roman": "Fibonatchi-sūretsu", "sense": "sequence of numbers", "word": "フィボナッチ数列" }, { "code": "pt", "lang": "Portuguese", "sense": "sequence of numbers", "word": "sucessão de Fibonacci" }, { "code": "pt", "lang": "Portuguese", "sense": "sequence of numbers", "word": "sequência de Fibonacci" }, { "code": "ru", "lang": "Russian", "roman": "poslédovatelʹnostʹ Fibonáčči", "sense": "sequence of numbers", "tags": [ "feminine" ], "word": "после́довательность Фибона́ччи" }, { "code": "tr", "lang": "Turkish", "sense": "sequence of numbers", "word": "Fibonacci dizisi" } ], "wikipedia": [ "Fibonacci number", "Liber Abaci" ], "word": "Fibonacci sequence" }
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