@prefix rdf: . @prefix dbr: . @prefix yago: . dbr:L-system rdf:type yago:Structure105726345 , yago:WikicatAlgorithms , yago:Cognition100023271 , yago:WikicatFractals , yago:Communication100033020 , yago:Event100029378 , yago:Abstraction100002137 , yago:Algorithm105847438 , yago:WikicatComputerGraphicsAlgorithms . @prefix owl: . dbr:L-system rdf:type owl:Thing , yago:Fractal105931152 , yago:WikicatFormalLanguages , yago:YagoPermanentlyLocatedEntity , yago:Form105930736 , yago:Procedure101023820 , yago:Rule105846932 , yago:Language106282651 , yago:Act100030358 , yago:PsychologicalFeature100023100 , yago:Activity100407535 . @prefix rdfs: . dbr:L-system rdfs:label "L-system"@en , "Sistema-L"@es , "L-system"@ja , "Sistem Lindenmayer"@in , "L-system"@pl , "L-\u0441\u0438\u0441\u0442\u0435\u043C\u0430"@ru , "L-Sistema"@pt , "L\u7CFB\u7D71"@zh , "Sistemo L"@eo , "L-system"@ko , "Lindenmayersystem"@sv , "Sistema di Lindenmayer"@it , "Lindenmayer-System"@de , "L-syst\u00E9m"@cs , "L-Syst\u00E8me"@fr ; rdfs:comment "Sistem Lindenmayer atau sistem-L (bahasa Inggris: L-system) adalah sebuah sistem penulisan dan . Sistem-L terdiri dari alfabet simbol yang dapat dipakai untuk membuat (1) yang mengembangkan tiap simbol menjadi beberapa simbol, (2) aksioma awal yang menjadi pola dasar, dan (3) cara untuk mengubah dari untaian teks menjadi struktur geometri."@in , "L-system(\uC5D8 \uC2DC\uC2A4\uD15C, Lindenmayer system)\uC740 \uD615\uC2DD\uBB38\uBC95\uC758 \uC77C\uC885\uC73C\uB85C\uC11C, \uC2DD\uBB3C\uC758 \uC131\uC7A5 \uD504\uB85C\uC138\uC2A4\uB97C \uAE30\uCD08\uB85C \uD55C \uB2E4\uC591\uD55C \uC790\uC5F0\uBB3C\uC758 \uAD6C\uC870\uB97C \uAE30\uC220\uD558\uAC70\uB098 \uD45C\uD604\uC744 \uAC00\uB2A5\uCF00 \uD558\uB294 \uC54C\uACE0\uB9AC\uC998\uC774\uB2E4. \uC790\uC5F0\uBB3C \uC774\uC678\uC5D0\uB3C4 \uB9DD\uB378\uBE0C\uB85C \uC9D1\uD569 \uBC18\uBCF5\uD568\uC218\uACC4(Iterated Function System; IFS)\uC640 \uAC19\uC774 \uC774\uB978\uBC14 \uC790\uAE30\uC0C1\uC0AC \uB3C4\uD615\uC774\uB098 \uD504\uB799\uD0C8 \uB3C4\uD615\uC744 \uC0DD\uC131\uD560 \uACBD\uC6B0\uC5D0\uB3C4 \uC0AC\uC6A9\uB41C\uB2E4. L-system\uC740 1968\uB144, \uB124\uB35C\uB780\uB4DC \uC704\uD2B8\uB808\uD750\uD2B8 \uB300\uD559\uAD50 \uB300\uD559\uC758 \uC774\uB860\uC0DD\uBB3C\uD559\uC790\uC774\uC790 \uC2DD\uBB3C\uD559\uC790\uC600\uB358 \uC544\uB9AC\uC2A4\uD2F0\uB4DC \uB9B0\uB374\uB9C8\uC774\uC5B4(Aristid Lindenmayer)\uC5D0 \uC758\uD574 \uC81C\uCC3D\uB418\uC5B4 \uBC1C\uC804\uB418\uC5C8\uB2E4."@ko , "L-system\uFF08\u30A8\u30EB\u30B7\u30B9\u30C6\u30E0\u3001Lindenmayer system\uFF09\u306F\u5F62\u5F0F\u6587\u6CD5\u306E\u4E00\u7A2E\u3067\u3001\u690D\u7269\u306E\u6210\u9577\u30D7\u30ED\u30BB\u30B9\u3092\u521D\u3081\u3068\u3057\u305F\u69D8\u3005\u306A\u81EA\u7136\u7269\u306E\u69CB\u9020\u3092\u8A18\u8FF0\u30FB\u8868\u73FE\u3067\u304D\u308B\u30A2\u30EB\u30B4\u30EA\u30BA\u30E0\u3067\u3042\u308B\u3002\u81EA\u7136\u7269\u306E\u4ED6\u306B\u3082\u3001\u53CD\u5FA9\u95A2\u6570\u7CFB\uFF08Iterated Function System; IFS\uFF09\u306E\u3088\u3046\u306A\u3044\u308F\u3086\u308B\u81EA\u5DF1\u76F8\u4F3C\u56F3\u5F62\u3084\u30D5\u30E9\u30AF\u30BF\u30EB\u56F3\u5F62\u3092\u751F\u6210\u3059\u308B\u5834\u5408\u306B\u3082\u7528\u3044\u3089\u308C\u308B\u3002L-System \u306F1968\u5E74\u3001\u30CF\u30F3\u30AC\u30EA\u30FC\u30E6\u30C8\u30EC\u30D2\u30C8\u5927\u5B66\u306E\u7406\u8AD6\u751F\u7269\u5B66\u8005\u306B\u3057\u3066\u690D\u7269\u5B66\u8005\u3067\u3042\u3063\u305F\uFF08Aristid Lindenmayer\uFF09\u306B\u3088\u308A\u63D0\u5531\u3055\u308C\u3001\u767A\u5C55\u3057\u305F\u3002"@ja , "Un sistema-L o un sistema de Lindenmayer es una gram\u00E1tica formal (un conjunto de reglas y s\u00EDmbolos) principalmente utilizados para modelar el proceso de crecimiento de las plantas; puede modelar tambi\u00E9n la morfolog\u00EDa de una variedad de organismos. Los sistemas-L tambi\u00E9n pueden utilizarse para generar fractales autosimilares como los sistemas de funci\u00F3n iterada. Los sistemas-L fueron introducidos y desarrollados en 1968 por el bi\u00F3logo y bot\u00E1nico te\u00F3rico h\u00FAngaro de la Universidad de Utrecht (1925-1989)."@es , "L-system, system Lindenmayera \u2013 zestaw regu\u0142 produkcji gramatyki formalnej s\u0142u\u017C\u0105cy do tworzenia graficznych twor\u00F3w o fraktalnej budowie. L-systemy znajduj\u0105 zastosowanie w grafice komputerowej jako generatory fraktali i systemy modelowania ro\u015Blin. L-systemy zosta\u0142y stworzone w 1968 roku przez Aristida Lindenmayera. L-systemy s\u0105 gramatykami, w kt\u00F3rych produkcje stosuje si\u0119 iteracyjnie od stanu pocz\u0105tkowego przez za\u0142o\u017Con\u0105 liczb\u0119 powt\u00F3rze\u0144."@pl , "Traviny vymodelovan\u00E9 pomoc\u00ED L-syst\u00E9m\u016F ve 3D L-syst\u00E9m nebo tak\u00E9 Lindenmayer\u016Fv syst\u00E9m je varianta form\u00E1ln\u00ED gramatiky, vyvinut\u00E1 pro modelov\u00E1n\u00ED r\u016Fstu rostlin. L-syst\u00E9m popisuje pravidla pro v\u00FDvoj rostliny, kter\u00E1 se opakovan\u011B aplikuj\u00ED na vznikaj\u00EDc\u00ED model. Tato pravidla mohou nap\u0159. popisovat, za jak\u00FDch podm\u00EDnek se stonek rostliny rozdvoj\u00ED, zda m\u00E1 vzniknout list nebo zda m\u00E1 \u010D\u00E1st rostliny uhynout. V\u00FDsledn\u00FD model se m\u016F\u017Ee nap\u0159. vykreslit jako obr\u00E1zek nebo se z n\u011Bj vytvo\u0159\u00ED po\u010D\u00EDta\u010Dov\u00FD 3D model rostliny. L-syst\u00E9my se tak\u00E9 daj\u00ED pou\u017E\u00EDt pro generov\u00E1n\u00ED r\u016Fzn\u00FDch k\u0159ivek, frakt\u00E1l\u016F nebo pro modelov\u00E1n\u00ED bun\u011B\u010Dn\u00FDch organism\u016F."@cs , "Um L-Sistema ou um Sistema de Lindenmayer \u00E9 um sistema de reescrita paralela e um tipo de gram\u00E1tica formal. Um L-Sistema consiste em um alfabeto de s\u00EDmbolos que podem ser usados para fazer uma cadeia de caracteres, uma cole\u00E7\u00E3o de regras de produ\u00E7\u00E3o que se expandem cada s\u00EDmbolo em algum maior cadeia de s\u00EDmbolos, uma sequ\u00EAncia inicial \"axioma\" a partir da qual come\u00E7a a constru\u00E7\u00E3o, e um mecanismo para traduzir as sequencias geradas em estruturas geom\u00E9tricas. O L-Sistema foi introduzido e desenvolvido em 1968 por , um bi\u00F3logo te\u00F3rico h\u00FAngaro e bot\u00E2nico da Universidade de Utrecht. Lindenmayer utilizada Sistema-L para descrever o comportamento de c\u00E9lulas de plantas e para modelar os processos de crescimento do desenvolvimento da planta. Esse sistema tamb\u00E9m t\u00EAm sido usados para modelar a morfolog"@pt , "Lindenmayersystem, f\u00F6rkortas L-system, \u00E4r ett rekursivt system, skapat av den ungerske biologen , som fr\u00E4mst var avsett f\u00F6r att \u00E5terge v\u00E4xters struktur. V\u00E4xter \u00E4r en typ av naturliga fraktaler, och med tiden har det visat sig att Lindenmayersystem \u00E4ven g\u00E5r utm\u00E4rkt att anv\u00E4nda f\u00F6r att skapa m\u00E5nga andra typer av fraktala kurvor och strukturer."@sv , "Bei den Lindenmayer- oder L-Systemen handelt es sich um einen mathematischen Formalismus, der 1968 von dem ungarischen theoretischen Biologen Aristid Lindenmayer als Grundlage einer axiomatischen Theorie biologischer Entwicklung vorgeschlagen wurde. In j\u00FCngerer Zeit fanden L-Systeme Anwendung in der Computergrafik bei der Erzeugung von Fraktalen und in der realit\u00E4tsnahen Modellierung von Pflanzen."@de , "An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar. An L-system consists of an alphabet of symbols that can be used to make strings, a collection of production rules that expand each symbol into some larger string of symbols, an initial \"axiom\" string from which to begin construction, and a mechanism for translating the generated strings into geometric structures. L-systems were introduced and developed in 1968 by Aristid Lindenmayer, a Hungarian theoretical biologist and botanist at the University of Utrecht. Lindenmayer used L-systems to describe the behaviour of plant cells and to model the growth processes of plant development. L-systems have also been used to model the morphology of a variety of organisms and can be used to generate self-simi"@en , "L-\u0441\u0438\u0441\u0442\u0435\u043C\u0430 \u0438\u043B\u0438 \u0441\u0438\u0441\u0442\u0435\u043C\u0430 \u041B\u0438\u043D\u0434\u0435\u043D\u043C\u0430\u0439\u0435\u0440\u0430 \u2014 \u044D\u0442\u043E \u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u0430\u044F \u0441\u0438\u0441\u0442\u0435\u043C\u0430 \u043F\u0435\u0440\u0435\u043F\u0438\u0441\u044B\u0432\u0430\u043D\u0438\u044F \u0438 \u0432\u0438\u0434 \u0444\u043E\u0440\u043C\u0430\u043B\u044C\u043D\u043E\u0439 \u0433\u0440\u0430\u043C\u043C\u0430\u0442\u0438\u043A\u0438. L-\u0441\u0438\u0441\u0442\u0435\u043C\u0430 \u0441\u043E\u0441\u0442\u043E\u0438\u0442 \u0438\u0437 \u0430\u043B\u0444\u0430\u0432\u0438\u0442\u0430 \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u0432, \u043A\u043E\u0442\u043E\u0440\u044B\u0435 \u043C\u043E\u0433\u0443\u0442 \u0431\u044B\u0442\u044C \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u044B \u0434\u043B\u044F \u0441\u043E\u0437\u0434\u0430\u043D\u0438\u044F \u0441\u0442\u0440\u043E\u043A, \u043D\u0430\u0431\u043E\u0440\u0430 , \u043A\u043E\u0442\u043E\u0440\u044B\u0435 \u0437\u0430\u0434\u0430\u044E\u0442 \u043F\u0440\u0430\u0432\u0438\u043B\u0430 \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043A\u0438 \u0432\u043C\u0435\u0441\u0442\u043E \u043A\u0430\u0436\u0434\u043E\u0433\u043E \u0441\u0438\u043C\u0432\u043E\u043B\u0430, \u043D\u0430\u0447\u0430\u043B\u044C\u043D\u043E\u0439 \u0441\u0442\u0440\u043E\u043A\u0438 (\u00AB\u0430\u043A\u0441\u0438\u043E\u043C\u044B\u00BB), \u0441 \u043A\u043E\u0442\u043E\u0440\u043E\u0439 \u043D\u0430\u0447\u0438\u043D\u0430\u0435\u0442\u0441\u044F \u043F\u043E\u0441\u0442\u0440\u043E\u0435\u043D\u0438\u0435, \u0438 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u0430 \u043F\u0435\u0440\u0435\u0432\u043E\u0434\u0430 \u043E\u0431\u0440\u0430\u0437\u043E\u0432\u0430\u043D\u043D\u043E\u0439 \u0441\u0442\u0440\u043E\u043A\u0438 \u0432 \u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440\u044B. L-\u0441\u0438\u0441\u0442\u0435\u043C\u044B \u043F\u0440\u0435\u0434\u043B\u043E\u0436\u0438\u043B \u0438 \u0440\u0430\u0437\u0432\u0438\u0432\u0430\u043B \u0432 1968 \u0410\u0440\u0438\u0441\u0442\u0438\u0434 \u041B\u0438\u043D\u0434\u0435\u043D\u043C\u0430\u0439\u0435\u0440, \u0432\u0435\u043D\u0433\u0435\u0440\u0441\u043A\u0438\u0439 \u0431\u0438\u043E\u043B\u043E\u0433 \u0438 \u0431\u043E\u0442\u0430\u043D\u0438\u043A \u0438\u0437 \u0423\u0442\u0440\u0435\u0445\u0442\u0441\u043A\u043E\u0433\u043E \u0443\u043D\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0430. \u041B\u0438\u043D\u0434\u0435\u043D\u043C\u0430\u0439\u0435\u0440 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043B L-\u0441\u0438\u0441\u0442\u0435\u043C\u044B \u0434\u043B\u044F \u043E\u043F\u0438\u0441\u0430\u043D\u0438\u044F \u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u044F \u043A\u043B\u0435\u0442\u043E\u043A \u0440\u0430\u0441\u0442\u0435\u043D\u0438\u0439 \u0438 \u043C\u043E\u0434\u0435\u043B\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F \u043F\u0440\u043E\u0446\u0435\u0441\u0441\u0430 . L-\u0441\u0438\u0441\u0442\u0435\u043C\u044B \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043B\u0438\u0441\u044C \u0442\u0430\u043A\u0436\u0435 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F \u043C\u043E\u0440\u0444\u043E\u043B\u043E\u0433\u0438\u0438 \u0440\u0430\u0437\u043B\u0438\u0447\u043D\u044B\u0445 \u043E\u0440\u0433\u0430\u043D\u0438\u0437\u043C\u043E\u0432 \u0438 \u043C\u043E\u0433\u0443\u0442 \u0431\u044B\u0442\u044C \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u044B \u0434\u043B\u044F \u0433\u0435\u043D\u0435\u0440\u0430\u0446\u0438\u0438 \u0441\u0430\u043C\u043E\u043F\u043E\u0434\u043E\u0431\u043D\u044B\u0445 \u0444\u0440\u0430\u043A\u0442\u0430\u043B\u043E\u0432, \u0442\u0430\u043A\u0438\u0445 \u043A\u0430\u043A ."@ru , "En informatique th\u00E9orique, un L-syst\u00E8me ou syst\u00E8me de Lindenmayer est un syst\u00E8me de r\u00E9\u00E9criture ou grammaire formelle, invent\u00E9 en 1968 par le biologiste hongrois Aristid Lindenmayer. Un L-syst\u00E8me mod\u00E9lise le processus de d\u00E9veloppement et de prolif\u00E9ration de plantes ou de bact\u00E9ries. Dans l'interpr\u00E9tation biologique, les cellules sont mod\u00E9lis\u00E9es \u00E0 l'aide de symboles. \u00C0 chaque g\u00E9n\u00E9ration, les cellules se divisent, ce qui est mod\u00E9lis\u00E9 par l'op\u00E9ration consistant \u00E0 remplacer un symbole par un ou plusieurs autres symboles cons\u00E9cutifs."@fr , "Un sistema Lindenmayer, o sistema-L (dall'inglese L-system), \u00E8 un sistema di riscrittura parallelo e un tipo di grammatica formale. Un sistema-L consiste di un alfabeto di simboli che possano essere usati per creare stringhe, una serie di che espandono ciascun simbolo in una pi\u00F9 grande stringa di simboli, una stringa iniziale di \"assioma\" da cui iniziare la costruzione e un meccanismo per tradurre le stringhe generate in strutture geometriche.In pratica partendo da un oggetto x dell'insieme E, vi applichiamo una funzione otteniamo la sequenza di oggetti di E nel passaggio 1 che denotiamo con .Quindi sostituiamo ogni oggetto di con la trasformazione risultante dalla stessa ottenendo la continuazione nel passaggio 2 denotato con .Ripetiamo questo processo all'infinito, finch\u00E9 non ottenia"@it , "Lindenmayer\u7CFB\u7D71\uFF0C\u7C21\u7A31L\u7CFB\u7D71\uFF0C\u662F\u7531\u8377\u5170\u70CF\u7279\u52D2\u652F\u5927\u5B78\u7684\u751F\u7269\u5B66\u548C\u690D\u7269\u5B66\u5BB6\uFF0C\u5308\u7259\u5229\u88D4\u7684\uFF08Aristid Lindenmayer\uFF09\u65BC1968\u5E74\u63D0\u51FA\u7684\u6709\u5173\u751F\u957F\u53D1\u5C55\u4E2D\u7684\u7EC6\u80DE\u4EA4\u4E92\u4F5C\u7528\u7684\u6570\u5B66\u6A21\u578B\uFF0C\u5C24\u5176\u88AB\u5EE3\u6CDB\u61C9\u7528\u65BC\u904E\u7A0B\u7684\u7814\u7A76\u3002 L-system\u662F\u4E00\u7CFB\u5217\u4E0D\u540C\u5F62\u5F0F\u7684\u6B63\u89C4\u8BED\u6CD5\u89C4\u5219\uFF0C\u591A\u88AB\u7528\u4E8E\u690D\u7269\u751F\u957F\u8FC7\u7A0B\u5EFA\u6A21\uFF0C\u4F46\u662F\u4E5F\u88AB\u7528\u4E8E\u6A21\u62DF\u5404\u79CD\u751F\u7269\u4F53\u7684\u5F62\u6001\u3002L-system\u4E5F\u80FD\u7528\u4E8E\u751F\u6210\u81EA\u76F8\u4F3C\u7684\u5206\u5F62\uFF0C\u4F8B\u5982\u8FED\u4EE3\u51FD\u6570\u7CFB\u7EDF\u3002"@zh , "Sistemo L a\u016D Sistemo Lindenmayer estas formala gramatika\u0135o (serio de reguloj kaj simboloj), kies plej konata uzo estas modeli la kreskon de plantoj, kaj duarange anka\u016D de fantaziaj kompleksaj geometriaj formoj. Tiajn sistemojn unuafoje evoluigis kaj prezentis dum la jaro 1968 la hungar-devena teoria biologo Arisztid Lindenmayer (1925\u20131989), en la Universitato de Utrecht en Nederlando."@eo ; rdfs:seeAlso dbr:Barnsley_fern . @prefix foaf: . dbr:L-system foaf:depiction , , , , , , , , , , , , , , , , , , , . @prefix dcterms: . @prefix dbc: . dbr:L-system dcterms:subject dbc:L-systems . @prefix dbo: . dbr:L-system dbo:wikiPageID 46565 ; dbo:wikiPageRevisionID 1124510226 ; dbo:wikiPageWikiLink dbr:Fractal , dbr:Grzegorz_Rozenberg , dbr:Formal_language , dbr:Chomsky_hierarchy , dbr:Logo_programming_language . @prefix ns9: . dbr:L-system dbo:wikiPageWikiLink ns9:parallel , dbr:D0L_system , dbr:Stochastic_grammar , dbr:Context-free_grammar , dbr:Random , , dbr:Dragon_curve , dbr:Koch_snowflake , , dbr:Self-similarity , dbr:The_Algorithmic_Beauty_of_Plants , dbr:Prouhet-Thue-Morse_system , dbr:Genotype , dbr:Utrecht_University , dbr:SpeedTree , , dbr:Recursion , dbr:Botanist , dbr:Turtle_graphics , dbr:Arto_Salomaa , dbr:Rewriting_system , dbr:Plant_development , dbr:Real_number , dbr:Aristid_Lindenmayer , dbr:Stochastic_context-free_grammar , dbr:Yeast , dbr:Hilbert_curve , dbr:Alphabet , , dbr:Sphinx_tiling , dbr:Open-source_software , dbr:Iterated_function_system , dbr:Probability , , , dbr:Artificial_life , dbr:Anabaena , dbr:Locally_catenative_sequence , dbr:Fibonacci_word , dbr:Kolam , , dbr:Royal_Conservatory_of_The_Hague , dbr:Java_applet , dbr:Genetic_algorithm , , , , , , , , dbr:Fungi , dbr:Bacteria , dbr:Inkscape , dbr:Semi-Thue_grammar , dbr:Line_segment , dbc:L-systems , , dbr:Tuple , dbr:Context_sensitive_grammar , , dbr:Digital_morphogenesis , , dbr:Sierpinski_triangle , dbr:Fractint , dbr:Fibonacci_sequence , dbr:Source_code , , dbr:Penrose_tiling , dbr:Space-filling_curve , dbr:Biologist , dbr:Law_of_identity , , dbr:Evolution , dbr:Cantor_set , dbr:Axiom , dbr:Golden_ratio , dbr:Formal_grammar ; dbo:wikiPageExternalLink , . @prefix ns10: . dbr:L-system dbo:wikiPageExternalLink ns10:L-systems , , , , , , , , , , , , , , , , , , , , . @prefix ns11: . dbr:L-system dbo:wikiPageExternalLink ns11:lpy , , , , , , , . @prefix dbpedia-de: . dbr:L-system owl:sameAs dbpedia-de:Lindenmayer-System . @prefix dbpedia-eo: . dbr:L-system owl:sameAs dbpedia-eo:Sistemo_L , . @prefix dbpedia-pl: . dbr:L-system owl:sameAs dbpedia-pl:L-system . @prefix dbpedia-commons: . dbr:L-system owl:sameAs dbpedia-commons:L-system . @prefix dbpedia-sh: . dbr:L-system owl:sameAs dbpedia-sh:L-sistem . @prefix dbpedia-hr: . dbr:L-system owl:sameAs dbpedia-hr:L-sustav , . @prefix dbpedia-sv: . dbr:L-system owl:sameAs dbpedia-sv:Lindenmayersystem . @prefix dbpedia-id: . dbr:L-system owl:sameAs dbpedia-id:Sistem_Lindenmayer , . @prefix dbpedia-pt: . dbr:L-system owl:sameAs dbpedia-pt:L-Sistema , . @prefix dbpedia-ko: . dbr:L-system owl:sameAs dbpedia-ko:L-system . @prefix dbpedia-az: . dbr:L-system owl:sameAs dbpedia-az:Qraftal . @prefix dbpedia-es: . dbr:L-system owl:sameAs dbpedia-es:Sistema-L , . @prefix dbpedia-ja: . dbr:L-system owl:sameAs dbpedia-ja:L-system , . @prefix dbpedia-it: . dbr:L-system owl:sameAs dbpedia-it:Sistema_di_Lindenmayer , . @prefix ns26: . dbr:L-system owl:sameAs ns26:CqNZ . @prefix yago-res: . dbr:L-system owl:sameAs yago-res:L-system . @prefix dbpedia-fi: . dbr:L-system owl:sameAs dbpedia-fi:L-systeemi . @prefix wikidata: . dbr:L-system owl:sameAs wikidata:Q1151098 , , . @prefix dbp: . @prefix dbt: . dbr:L-system dbp:wikiPageUsesTemplate dbt:Gallery , dbt:Short_description , dbt:Authority_control , dbt:Reflist , dbt:More_citations_needed , dbt:Center , dbt:Multiple_issues , dbt:ISBN , dbt:Commons_category , dbt:Annotated_link , dbt:Webarchive , dbt:Fractals , dbt:See_also , dbt:Div_col , dbt:Div_col_end , dbt:Textbook , dbt:Citation_needed , dbt:SpringerEOM , dbt:Cite_thesis , dbt:Cite_web , dbt:Cite_journal ; dbo:thumbnail . @prefix xsd: . dbr:L-system dbp:date "2016-08-06"^^xsd:date , "2013-09-13"^^xsd:date , "2005-10-17"^^xsd:date ; dbp:first "A."@en , "G."@en ; dbp:id "L-systems&oldid=14908"@en ; dbp:last "Rozenberg"@en , "Salomaa"@en ; dbp:title "L-systems"@en ; dbp:url , , ; dbo:abstract "Sistemo L a\u016D Sistemo Lindenmayer estas formala gramatika\u0135o (serio de reguloj kaj simboloj), kies plej konata uzo estas modeli la kreskon de plantoj, kaj duarange anka\u016D de fantaziaj kompleksaj geometriaj formoj. Tiajn sistemojn unuafoje evoluigis kaj prezentis dum la jaro 1968 la hungar-devena teoria biologo Arisztid Lindenmayer (1925\u20131989), en la Universitato de Utrecht en Nederlando."@eo , "An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar. An L-system consists of an alphabet of symbols that can be used to make strings, a collection of production rules that expand each symbol into some larger string of symbols, an initial \"axiom\" string from which to begin construction, and a mechanism for translating the generated strings into geometric structures. L-systems were introduced and developed in 1968 by Aristid Lindenmayer, a Hungarian theoretical biologist and botanist at the University of Utrecht. Lindenmayer used L-systems to describe the behaviour of plant cells and to model the growth processes of plant development. L-systems have also been used to model the morphology of a variety of organisms and can be used to generate self-similar fractals."@en , "En informatique th\u00E9orique, un L-syst\u00E8me ou syst\u00E8me de Lindenmayer est un syst\u00E8me de r\u00E9\u00E9criture ou grammaire formelle, invent\u00E9 en 1968 par le biologiste hongrois Aristid Lindenmayer. Un L-syst\u00E8me mod\u00E9lise le processus de d\u00E9veloppement et de prolif\u00E9ration de plantes ou de bact\u00E9ries. C'est une forme de grammaire g\u00E9n\u00E9rative. Ces grammaires ont \u00E9t\u00E9 mises en \u0153uvre graphiquement par de nombreux auteurs, menant \u00E0 de spectaculaires images. Une \u00E9tude syst\u00E9matique d'une certaine formulation a \u00E9t\u00E9 entreprise par (en) dans les ann\u00E9es 1980. Une \u00E9tude math\u00E9matique, d\u00E9but\u00E9e d\u00E8s l'introduction des syst\u00E8mes par Lindenmayer, a d\u00E9bouch\u00E9 sur une th\u00E9orie \u00E9labor\u00E9e dont une premi\u00E8re synth\u00E8se a \u00E9t\u00E9 faite, en 1980 d\u00E9j\u00E0, par Rozenberg et Salomaa. Au d\u00E9part, Lindenmayer con\u00E7oit sa formalisation comme un mod\u00E8le de langages formels qui permet de d\u00E9crire le d\u00E9veloppement d'organismes multicellulaires simples. \u00C0 cette \u00E9poque il travaille sur les levures, les champignons et des algues. Mais sous l'influence des th\u00E9oriciens et des praticiens de l'informatique, ce syst\u00E8me a conduit \u00E0 des familles de langages formels et aussi \u00E0 des m\u00E9thodes pour g\u00E9n\u00E9rer graphiquement des plantes id\u00E9alis\u00E9es tr\u00E8s complexes. Formellement, un L-syst\u00E8me est un ensemble de r\u00E8gles et de symboles qui mod\u00E9lisent un processus de croissance d'\u00EAtres vivants comme des plantes ou des cellules. Le concept central des L-syst\u00E8mes est la notion de r\u00E9\u00E9criture. La r\u00E9\u00E9criture est une technique pour construire des objets complexes en rempla\u00E7ant des parties d'un objet initial simple en utilisant des r\u00E8gles de r\u00E9\u00E9criture. Dans l'interpr\u00E9tation biologique, les cellules sont mod\u00E9lis\u00E9es \u00E0 l'aide de symboles. \u00C0 chaque g\u00E9n\u00E9ration, les cellules se divisent, ce qui est mod\u00E9lis\u00E9 par l'op\u00E9ration consistant \u00E0 remplacer un symbole par un ou plusieurs autres symboles cons\u00E9cutifs."@fr , "Sistem Lindenmayer atau sistem-L (bahasa Inggris: L-system) adalah sebuah sistem penulisan dan . Sistem-L terdiri dari alfabet simbol yang dapat dipakai untuk membuat (1) yang mengembangkan tiap simbol menjadi beberapa simbol, (2) aksioma awal yang menjadi pola dasar, dan (3) cara untuk mengubah dari untaian teks menjadi struktur geometri. Sistem-L diperkenalkan dan dikembangkan oleh Aristid Lindenmayer, ahli biologi teoretis dan botanis asal Hungaria, pada tahun 1968 di Universitas Utrecht. Lindenmayer menggunakan sistem-L untuk menggambarkan perilaku sel tumbuhan dan memodelkan . Sistem-L juga dipakai untuk memodelkan morfologi berbagai organisme dan dapat dipakai untuk membangun fraktal swamirip (mirip dengan dirinya sendiri)."@in , "L-system(\uC5D8 \uC2DC\uC2A4\uD15C, Lindenmayer system)\uC740 \uD615\uC2DD\uBB38\uBC95\uC758 \uC77C\uC885\uC73C\uB85C\uC11C, \uC2DD\uBB3C\uC758 \uC131\uC7A5 \uD504\uB85C\uC138\uC2A4\uB97C \uAE30\uCD08\uB85C \uD55C \uB2E4\uC591\uD55C \uC790\uC5F0\uBB3C\uC758 \uAD6C\uC870\uB97C \uAE30\uC220\uD558\uAC70\uB098 \uD45C\uD604\uC744 \uAC00\uB2A5\uCF00 \uD558\uB294 \uC54C\uACE0\uB9AC\uC998\uC774\uB2E4. \uC790\uC5F0\uBB3C \uC774\uC678\uC5D0\uB3C4 \uB9DD\uB378\uBE0C\uB85C \uC9D1\uD569 \uBC18\uBCF5\uD568\uC218\uACC4(Iterated Function System; IFS)\uC640 \uAC19\uC774 \uC774\uB978\uBC14 \uC790\uAE30\uC0C1\uC0AC \uB3C4\uD615\uC774\uB098 \uD504\uB799\uD0C8 \uB3C4\uD615\uC744 \uC0DD\uC131\uD560 \uACBD\uC6B0\uC5D0\uB3C4 \uC0AC\uC6A9\uB41C\uB2E4. L-system\uC740 1968\uB144, \uB124\uB35C\uB780\uB4DC \uC704\uD2B8\uB808\uD750\uD2B8 \uB300\uD559\uAD50 \uB300\uD559\uC758 \uC774\uB860\uC0DD\uBB3C\uD559\uC790\uC774\uC790 \uC2DD\uBB3C\uD559\uC790\uC600\uB358 \uC544\uB9AC\uC2A4\uD2F0\uB4DC \uB9B0\uB374\uB9C8\uC774\uC5B4(Aristid Lindenmayer)\uC5D0 \uC758\uD574 \uC81C\uCC3D\uB418\uC5B4 \uBC1C\uC804\uB418\uC5C8\uB2E4."@ko , "Lindenmayersystem, f\u00F6rkortas L-system, \u00E4r ett rekursivt system, skapat av den ungerske biologen , som fr\u00E4mst var avsett f\u00F6r att \u00E5terge v\u00E4xters struktur. V\u00E4xter \u00E4r en typ av naturliga fraktaler, och med tiden har det visat sig att Lindenmayersystem \u00E4ven g\u00E5r utm\u00E4rkt att anv\u00E4nda f\u00F6r att skapa m\u00E5nga andra typer av fraktala kurvor och strukturer."@sv , "L-system, system Lindenmayera \u2013 zestaw regu\u0142 produkcji gramatyki formalnej s\u0142u\u017C\u0105cy do tworzenia graficznych twor\u00F3w o fraktalnej budowie. L-systemy znajduj\u0105 zastosowanie w grafice komputerowej jako generatory fraktali i systemy modelowania ro\u015Blin. L-systemy zosta\u0142y stworzone w 1968 roku przez Aristida Lindenmayera. L-systemy s\u0105 gramatykami, w kt\u00F3rych produkcje stosuje si\u0119 iteracyjnie od stanu pocz\u0105tkowego przez za\u0142o\u017Con\u0105 liczb\u0119 powt\u00F3rze\u0144. L-system nazywany jest bezkontekstowym wtedy i tylko wtedy, gdy ka\u017Cda regu\u0142a produkcji stosuje si\u0119 tylko do pojedynczego symbolu, niezale\u017Cnie od symboli s\u0105siaduj\u0105cych. Je\u015Bli regu\u0142a produkcji zale\u017Cy nie tylko od pojedynczego symbolu, ale tak\u017Ce od symboli s\u0105siednich, to taki L-system nazywany jest kontekstowym. Je\u015Bli dla ka\u017Cdego symbolu istnieje jedna i tylko jedna regu\u0142a produkcji, to taki L-system nazywa si\u0119 deterministycznym. Deterministyczny L-system bezkontekstowy nazywa si\u0119 systemem DOL (DOL-system). Je\u015Bli dla danego symbolu istnieje wi\u0119cej ni\u017C jedna regu\u0142a produkcji i dla ka\u017Cdej z nich przypisane jest okre\u015Blone prawdopodobie\u0144stwo zastosowania, to taki L-system nazywa si\u0119 stochastycznym. Wykorzystanie L-system\u00F3w w grafice komputerowej wymaga prze\u0142o\u017Cenia symboli na struktury graficzne. W zale\u017Cno\u015Bci od wykorzystywanego modelu stosuje si\u0119 r\u00F3\u017Cne metody transformowania zapisu formalnego do grafiki. Jednym z przyk\u0142ad\u00F3w jest tak zwana \u201Egrafika \u017C\u00F3\u0142wia\u201D (zbli\u017Cona do koncepcji wykorzystywanej w j\u0119zyku Logo). Ka\u017Cdy symbol w L-systemie jest w takim modelu interpretowany jako okre\u015Blona sekwencja ruch\u00F3w \u201E\u017C\u00F3\u0142wia\u201D."@pl , "Un sistema-L o un sistema de Lindenmayer es una gram\u00E1tica formal (un conjunto de reglas y s\u00EDmbolos) principalmente utilizados para modelar el proceso de crecimiento de las plantas; puede modelar tambi\u00E9n la morfolog\u00EDa de una variedad de organismos. Los sistemas-L tambi\u00E9n pueden utilizarse para generar fractales autosimilares como los sistemas de funci\u00F3n iterada. Los sistemas-L fueron introducidos y desarrollados en 1968 por el bi\u00F3logo y bot\u00E1nico te\u00F3rico h\u00FAngaro de la Universidad de Utrecht (1925-1989)."@es , "Un sistema Lindenmayer, o sistema-L (dall'inglese L-system), \u00E8 un sistema di riscrittura parallelo e un tipo di grammatica formale. Un sistema-L consiste di un alfabeto di simboli che possano essere usati per creare stringhe, una serie di che espandono ciascun simbolo in una pi\u00F9 grande stringa di simboli, una stringa iniziale di \"assioma\" da cui iniziare la costruzione e un meccanismo per tradurre le stringhe generate in strutture geometriche.In pratica partendo da un oggetto x dell'insieme E, vi applichiamo una funzione otteniamo la sequenza di oggetti di E nel passaggio 1 che denotiamo con .Quindi sostituiamo ogni oggetto di con la trasformazione risultante dalla stessa ottenendo la continuazione nel passaggio 2 denotato con .Ripetiamo questo processo all'infinito, finch\u00E9 non otteniamo una sequenza infinita S. I sistemi di Lindenmayer sono stati introdotti e sviluppati nel 1968 da Aristid Lindenmayer, un biologo teorico ungherese e botanico all'Universit\u00E0 di Utrecht. Lindenmayer ha usato sistemi-L per descrivere il comportamento delle cellule vegetali e per modellare i processi di crescita dello sviluppo delle piante. Questi sistemi sono anche stati usati per modellare la morfologia di una variet\u00E0 di organismi e possono essere usati per generare frattali auto-simili.La differenza essenziale tra le grammatiche di Chomsky e i sistemi-L sta nel metodo di applicazione delle produzioni. Nelle grammatiche di Chomsky le produzioni vengono applicate in sequenza, mentre nei sistemi L vengono applicate in parallelo e contemporaneamente sostituiscono tutte le lettere in una determinata parola. Questa differenza riflette la motivazione biologica dei sistemi di Lindenmayer. Le produzioni hanno lo scopo di catturare le divisioni cellulari negli organismi multicellulari, dove possono verificarsi molte divisioni allo stesso tempo."@it , "L-\u0441\u0438\u0441\u0442\u0435\u043C\u0430 \u0438\u043B\u0438 \u0441\u0438\u0441\u0442\u0435\u043C\u0430 \u041B\u0438\u043D\u0434\u0435\u043D\u043C\u0430\u0439\u0435\u0440\u0430 \u2014 \u044D\u0442\u043E \u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u0430\u044F \u0441\u0438\u0441\u0442\u0435\u043C\u0430 \u043F\u0435\u0440\u0435\u043F\u0438\u0441\u044B\u0432\u0430\u043D\u0438\u044F \u0438 \u0432\u0438\u0434 \u0444\u043E\u0440\u043C\u0430\u043B\u044C\u043D\u043E\u0439 \u0433\u0440\u0430\u043C\u043C\u0430\u0442\u0438\u043A\u0438. L-\u0441\u0438\u0441\u0442\u0435\u043C\u0430 \u0441\u043E\u0441\u0442\u043E\u0438\u0442 \u0438\u0437 \u0430\u043B\u0444\u0430\u0432\u0438\u0442\u0430 \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u0432, \u043A\u043E\u0442\u043E\u0440\u044B\u0435 \u043C\u043E\u0433\u0443\u0442 \u0431\u044B\u0442\u044C \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u044B \u0434\u043B\u044F \u0441\u043E\u0437\u0434\u0430\u043D\u0438\u044F \u0441\u0442\u0440\u043E\u043A, \u043D\u0430\u0431\u043E\u0440\u0430 , \u043A\u043E\u0442\u043E\u0440\u044B\u0435 \u0437\u0430\u0434\u0430\u044E\u0442 \u043F\u0440\u0430\u0432\u0438\u043B\u0430 \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043A\u0438 \u0432\u043C\u0435\u0441\u0442\u043E \u043A\u0430\u0436\u0434\u043E\u0433\u043E \u0441\u0438\u043C\u0432\u043E\u043B\u0430, \u043D\u0430\u0447\u0430\u043B\u044C\u043D\u043E\u0439 \u0441\u0442\u0440\u043E\u043A\u0438 (\u00AB\u0430\u043A\u0441\u0438\u043E\u043C\u044B\u00BB), \u0441 \u043A\u043E\u0442\u043E\u0440\u043E\u0439 \u043D\u0430\u0447\u0438\u043D\u0430\u0435\u0442\u0441\u044F \u043F\u043E\u0441\u0442\u0440\u043E\u0435\u043D\u0438\u0435, \u0438 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u0430 \u043F\u0435\u0440\u0435\u0432\u043E\u0434\u0430 \u043E\u0431\u0440\u0430\u0437\u043E\u0432\u0430\u043D\u043D\u043E\u0439 \u0441\u0442\u0440\u043E\u043A\u0438 \u0432 \u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440\u044B. L-\u0441\u0438\u0441\u0442\u0435\u043C\u044B \u043F\u0440\u0435\u0434\u043B\u043E\u0436\u0438\u043B \u0438 \u0440\u0430\u0437\u0432\u0438\u0432\u0430\u043B \u0432 1968 \u0410\u0440\u0438\u0441\u0442\u0438\u0434 \u041B\u0438\u043D\u0434\u0435\u043D\u043C\u0430\u0439\u0435\u0440, \u0432\u0435\u043D\u0433\u0435\u0440\u0441\u043A\u0438\u0439 \u0431\u0438\u043E\u043B\u043E\u0433 \u0438 \u0431\u043E\u0442\u0430\u043D\u0438\u043A \u0438\u0437 \u0423\u0442\u0440\u0435\u0445\u0442\u0441\u043A\u043E\u0433\u043E \u0443\u043D\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0430. \u041B\u0438\u043D\u0434\u0435\u043D\u043C\u0430\u0439\u0435\u0440 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043B L-\u0441\u0438\u0441\u0442\u0435\u043C\u044B \u0434\u043B\u044F \u043E\u043F\u0438\u0441\u0430\u043D\u0438\u044F \u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u044F \u043A\u043B\u0435\u0442\u043E\u043A \u0440\u0430\u0441\u0442\u0435\u043D\u0438\u0439 \u0438 \u043C\u043E\u0434\u0435\u043B\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F \u043F\u0440\u043E\u0446\u0435\u0441\u0441\u0430 . L-\u0441\u0438\u0441\u0442\u0435\u043C\u044B \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043B\u0438\u0441\u044C \u0442\u0430\u043A\u0436\u0435 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F \u043C\u043E\u0440\u0444\u043E\u043B\u043E\u0433\u0438\u0438 \u0440\u0430\u0437\u043B\u0438\u0447\u043D\u044B\u0445 \u043E\u0440\u0433\u0430\u043D\u0438\u0437\u043C\u043E\u0432 \u0438 \u043C\u043E\u0433\u0443\u0442 \u0431\u044B\u0442\u044C \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u044B \u0434\u043B\u044F \u0433\u0435\u043D\u0435\u0440\u0430\u0446\u0438\u0438 \u0441\u0430\u043C\u043E\u043F\u043E\u0434\u043E\u0431\u043D\u044B\u0445 \u0444\u0440\u0430\u043A\u0442\u0430\u043B\u043E\u0432, \u0442\u0430\u043A\u0438\u0445 \u043A\u0430\u043A ."@ru , "Traviny vymodelovan\u00E9 pomoc\u00ED L-syst\u00E9m\u016F ve 3D L-syst\u00E9m nebo tak\u00E9 Lindenmayer\u016Fv syst\u00E9m je varianta form\u00E1ln\u00ED gramatiky, vyvinut\u00E1 pro modelov\u00E1n\u00ED r\u016Fstu rostlin. L-syst\u00E9m popisuje pravidla pro v\u00FDvoj rostliny, kter\u00E1 se opakovan\u011B aplikuj\u00ED na vznikaj\u00EDc\u00ED model. Tato pravidla mohou nap\u0159. popisovat, za jak\u00FDch podm\u00EDnek se stonek rostliny rozdvoj\u00ED, zda m\u00E1 vzniknout list nebo zda m\u00E1 \u010D\u00E1st rostliny uhynout. V\u00FDsledn\u00FD model se m\u016F\u017Ee nap\u0159. vykreslit jako obr\u00E1zek nebo se z n\u011Bj vytvo\u0159\u00ED po\u010D\u00EDta\u010Dov\u00FD 3D model rostliny. L-syst\u00E9my se tak\u00E9 daj\u00ED pou\u017E\u00EDt pro generov\u00E1n\u00ED r\u016Fzn\u00FDch k\u0159ivek, frakt\u00E1l\u016F nebo pro modelov\u00E1n\u00ED bun\u011B\u010Dn\u00FDch organism\u016F."@cs , "Lindenmayer\u7CFB\u7D71\uFF0C\u7C21\u7A31L\u7CFB\u7D71\uFF0C\u662F\u7531\u8377\u5170\u70CF\u7279\u52D2\u652F\u5927\u5B78\u7684\u751F\u7269\u5B66\u548C\u690D\u7269\u5B66\u5BB6\uFF0C\u5308\u7259\u5229\u88D4\u7684\uFF08Aristid Lindenmayer\uFF09\u65BC1968\u5E74\u63D0\u51FA\u7684\u6709\u5173\u751F\u957F\u53D1\u5C55\u4E2D\u7684\u7EC6\u80DE\u4EA4\u4E92\u4F5C\u7528\u7684\u6570\u5B66\u6A21\u578B\uFF0C\u5C24\u5176\u88AB\u5EE3\u6CDB\u61C9\u7528\u65BC\u904E\u7A0B\u7684\u7814\u7A76\u3002 L-system\u662F\u4E00\u7CFB\u5217\u4E0D\u540C\u5F62\u5F0F\u7684\u6B63\u89C4\u8BED\u6CD5\u89C4\u5219\uFF0C\u591A\u88AB\u7528\u4E8E\u690D\u7269\u751F\u957F\u8FC7\u7A0B\u5EFA\u6A21\uFF0C\u4F46\u662F\u4E5F\u88AB\u7528\u4E8E\u6A21\u62DF\u5404\u79CD\u751F\u7269\u4F53\u7684\u5F62\u6001\u3002L-system\u4E5F\u80FD\u7528\u4E8E\u751F\u6210\u81EA\u76F8\u4F3C\u7684\u5206\u5F62\uFF0C\u4F8B\u5982\u8FED\u4EE3\u51FD\u6570\u7CFB\u7EDF\u3002"@zh , "L-system\uFF08\u30A8\u30EB\u30B7\u30B9\u30C6\u30E0\u3001Lindenmayer system\uFF09\u306F\u5F62\u5F0F\u6587\u6CD5\u306E\u4E00\u7A2E\u3067\u3001\u690D\u7269\u306E\u6210\u9577\u30D7\u30ED\u30BB\u30B9\u3092\u521D\u3081\u3068\u3057\u305F\u69D8\u3005\u306A\u81EA\u7136\u7269\u306E\u69CB\u9020\u3092\u8A18\u8FF0\u30FB\u8868\u73FE\u3067\u304D\u308B\u30A2\u30EB\u30B4\u30EA\u30BA\u30E0\u3067\u3042\u308B\u3002\u81EA\u7136\u7269\u306E\u4ED6\u306B\u3082\u3001\u53CD\u5FA9\u95A2\u6570\u7CFB\uFF08Iterated Function System; IFS\uFF09\u306E\u3088\u3046\u306A\u3044\u308F\u3086\u308B\u81EA\u5DF1\u76F8\u4F3C\u56F3\u5F62\u3084\u30D5\u30E9\u30AF\u30BF\u30EB\u56F3\u5F62\u3092\u751F\u6210\u3059\u308B\u5834\u5408\u306B\u3082\u7528\u3044\u3089\u308C\u308B\u3002L-System \u306F1968\u5E74\u3001\u30CF\u30F3\u30AC\u30EA\u30FC\u30E6\u30C8\u30EC\u30D2\u30C8\u5927\u5B66\u306E\u7406\u8AD6\u751F\u7269\u5B66\u8005\u306B\u3057\u3066\u690D\u7269\u5B66\u8005\u3067\u3042\u3063\u305F\uFF08Aristid Lindenmayer\uFF09\u306B\u3088\u308A\u63D0\u5531\u3055\u308C\u3001\u767A\u5C55\u3057\u305F\u3002"@ja , "Bei den Lindenmayer- oder L-Systemen handelt es sich um einen mathematischen Formalismus, der 1968 von dem ungarischen theoretischen Biologen Aristid Lindenmayer als Grundlage einer axiomatischen Theorie biologischer Entwicklung vorgeschlagen wurde. In j\u00FCngerer Zeit fanden L-Systeme Anwendung in der Computergrafik bei der Erzeugung von Fraktalen und in der realit\u00E4tsnahen Modellierung von Pflanzen. Das wesentliche Prinzip von L-Systemen besteht in der sukzessiven Ersetzung von Einzelteilen eines einfachen Objektes mittels sogenannter Produktionsregeln. Diese Ersetzungen k\u00F6nnen rekursiv durchgef\u00FChrt werden. Damit geh\u00F6ren L-Systeme zu den sogenannten . Die bekanntesten Ersetzungssysteme sind solche, die auf Zeichenketten basieren. Besonders Noam Chomskys Arbeiten aus den 1950ern \u00FCber formale Grammatiken stie\u00DFen auf gro\u00DFes Interesse und befruchteten die Forschung in der theoretischen Informatik. Im Gegensatz zu den sequentiellen Ersetzungsregeln in Chomskys Grammatiken finden Ersetzungen in L-Systemen parallel statt, analog zu den gleichzeitig stattfindenden Zellteilungen in mehrzelligen Organismen, die der Ansto\u00DF zur Entwicklung der L-Systeme waren. L-Systeme sind hervorragend geeignet, Darstellungen von Fraktalen zu erzeugen. Dazu werden die in den Rekursionen des L-Systems erzeugten Zeichenketten in direkt ausf\u00FChrbare Befehle eines Systems, welches die Turtle-Grafik realisiert, umgesetzt, z. B. die Programmiersprache Logo."@de , "Um L-Sistema ou um Sistema de Lindenmayer \u00E9 um sistema de reescrita paralela e um tipo de gram\u00E1tica formal. Um L-Sistema consiste em um alfabeto de s\u00EDmbolos que podem ser usados para fazer uma cadeia de caracteres, uma cole\u00E7\u00E3o de regras de produ\u00E7\u00E3o que se expandem cada s\u00EDmbolo em algum maior cadeia de s\u00EDmbolos, uma sequ\u00EAncia inicial \"axioma\" a partir da qual come\u00E7a a constru\u00E7\u00E3o, e um mecanismo para traduzir as sequencias geradas em estruturas geom\u00E9tricas. O L-Sistema foi introduzido e desenvolvido em 1968 por , um bi\u00F3logo te\u00F3rico h\u00FAngaro e bot\u00E2nico da Universidade de Utrecht. Lindenmayer utilizada Sistema-L para descrever o comportamento de c\u00E9lulas de plantas e para modelar os processos de crescimento do desenvolvimento da planta. Esse sistema tamb\u00E9m t\u00EAm sido usados para modelar a morfologia de uma variedade de organismos e pode ser usado para gerar fractais, tais como Sistemas de fun\u00E7\u00F5es iterativas."@pt . @prefix gold: . dbr:L-system gold:hypernym dbr:System . @prefix prov: . dbr:L-system prov:wasDerivedFrom ; dbo:wikiPageLength "27316"^^xsd:nonNegativeInteger . @prefix wikipedia-en: . dbr:L-system foaf:isPrimaryTopicOf wikipedia-en:L-system .