{"pageTitles":{"ActivitiesPage":"Activities","ActivityContributionGuidelinesPage":"Activity Contribution Guidelines","AppsForSchoolsPage":"Applications pour les écoles","BrowsePanel":"Parcourir","ChangeEmailPage":"Changer votre adresse mail PhET","ChangePasswordPage":"Modifier votre mot de passe PhET","CreateActivityPage":"Contribute an Activity","EditActivityPage":"Edit an Activity","EditProfilePage":"Editer le profil","EmailChangeConfirmedPage":"Email Confirmé","ErrorPage":"PhET Website Error","ForgottenPasswordPage":"Réinitialiser votre mot de passe","IndexPage":"PhET: Des simulations gratuites en physique, chimie, biologie, sciences de la Terre et mathématiques","JoinLicensePage":"Join a PhET Studio License","LicensingPage":"Informations sur les licences","LoginPage":"S'identifier","MyBookmarksPanel":"My Bookmarks","MyContributionsPanel":"My Contributions","MyPhetStudioLicensePage":"My PhET Studio License","MyPresetsPanel":"My Presets","NotFoundPage":"Not Found","PaymentDetailsPage":"Payment Details","PhetSimulationsSuffixString":"PhET Simulations","PhetStudioPage":"PhET Studio","ProfessionalLearningPage":"Professional Learning with PhET","ResendEmailConfirmationPage":"Renvoyer un mail de confirmation","ResetPasswordPage":"Réinitialiser le mot de passe","SimulationPage":"Simulations","SimulationsBrowsePage":"Parcourir","SimulationsCustomizePage":"Customize","SimulationsFilterPage":"Filtrer","SpinnerPage":"Loading","StandbyModeErrorPage":"Standby","TeachingWithPhetRoutes":"Teaching with PhET","TranslatedSimsPage":"Simulations traduites","TranslationCreditsPage":"Crédits de traduction","VirtualWorkshopLandingPage":"Virtual Workshops"},"notFoundSimulationName":null,"simulationMetadata":{"alignments":[],"categories":{"4":{"childrenIds":[5,6,7,8,9,10,11],"id":4,"name":"physics","parent":1,"simulationIds":[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,52,55,56,58,59,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,98,99,101,103,104,105,107,108,109,110,111,115,117,126,127,128,136,137,138,145,146,148,153,155,157,158,160,161,162,164,166,167,169,172,175,176,177,178,180,187,188,189,190,191,193,194,203,204,205,206,207,217,219,224,225,226,227,228,229,230,231,232,233,235,237,238,245,246,247,248,249,250,253,255,256,259,260,262,263,265,266,267,268,269,270,271,272,274,1276],"strings":[{"en":"Physics"},{"mn":"Физик"},{"ka":"ფიზიკა"},{"mr":"भौतिकशास्त्र"},{"ku":"فیزیا"},{"fi":"Fysiikka"},{"in":"Fisika"},{"et":"Füüsika"},{"be":"Фізіка"},{"nn":"Fysikk"},{"gl":"Física"},{"bs":"Fizika"},{"zh_CN":"物理"},{"pt":"Física"},{"ku_TR":"Fîzîk"},{"nl":"Fysica"},{"mk":"Физика"},{"de":"Physik"},{"el":"Φυσική"},{"nb":"Fysikk"},{"fa":"فیزیک"},{"zh_TW":"物理"},{"hu":"Fizika"},{"lt":"Fizika"},{"uk":"Фізика"},{"th":"ฟิสิกส์"},{"hr":"Fizika"},{"si":"භොතික විද්යාව"},{"ja":"物理"},{"az":"Fizika"},{"uz":"Fizika"},{"sk":"Fyzika"},{"fr":"Physique"},{"sr":"Физика"},{"gu":"ભૌતિકવિજ્ઞાન"},{"cs":"Fyzika"},{"ko":"물리학"},{"eu":"Fisika"},{"ro":"Fizică"},{"tr":"Fizik"},{"es":"Física"},{"pt_BR":"Física"},{"it":"Fisica"},{"da":"Fysik"},{"pl":"Fizyka"},{"vi":"Vật lý"},{"es_PE":"Física"},{"ar_SA":"الفيزياء"}]},"6":{"childrenIds":[],"id":6,"name":"sound-and-waves","parent":4,"simulationIds":[21,30,37,43,52,56,76,136,177,225,231,245,262,1276],"strings":[{"en":"Sound & Waves"},{"mn":"Дуу авиа & Долгион"},{"ka":"ბგერა & ტალღები"},{"mr":"ध्वनी आणि लहरी"},{"ku":"ده نگ و شه پۆل"},{"fi":"Ääni ja aallot"},{"in":"Suara & Gelombang"},{"et":"Heli & lained"},{"be":"Гук і хвалі"},{"nn":"Lyd og bølgjer"},{"gl":"Son e Ondas"},{"bs":"Zvuk & Talasi"},{"zh_CN":"声音、振动、波"},{"pt":"Som & Ondas"},{"ku_TR":"Deng & Pel"},{"nl":"Geluid en golven"},{"mk":"Звук & Бранови"},{"de":"Akustik; Wellenlehre"},{"el":"Ήχος & Κύματα"},{"nb":"Lyd og bølger"},{"fa":"صوت و دامنه، امواج"},{"zh_TW":"聲音與波動"},{"hu":"Hang & hullámok"},{"lt":"Garsas ir bangos"},{"uk":"Звук і хвилі"},{"th":"เสียงและคลื่น"},{"hr":"Zvuk i valovi"},{"si":"ශබ්දය සහ විස්තාරය : තරංග"},{"ja":"音と音波"},{"az":"Səs və Dalğalar"},{"uz":"Tovush va To'lqinlar"},{"sk":"Zvuk a vlnenie"},{"fr":"Son & ondes"},{"sr":"Звук&Таласи"},{"gu":"ધ્વનિ અને તરંગો"},{"cs":"Zvuk a vlnění"},{"ko":"소리와 파동"},{"eu":"Soinua & Ondak"},{"ro":"Sunete și unde"},{"tr":"Ses & Dalgalar"},{"es":"Sonido y Ondas"},{"pt_BR":"Som & Ondas"},{"it":"Suono e Onde"},{"da":"Lyd & bølger"},{"pl":"Dźwięk & Fale"},{"vi":"Âm học & Sóng"},{"es_PE":"Sonido & Ondas"},{"ar_SA":"الصوت والموجات"}]},"9":{"childrenIds":[],"id":9,"name":"quantum-phenomena","parent":4,"simulationIds":[4,5,6,10,11,21,24,28,33,34,39,40,41,42,47,49,58,74,79,80,84,187,227,245,271,272,1276],"strings":[{"en":"Quantum Phenomena"},{"mn":"Квант ойлголт"},{"ka":"კვანტური მოვლენები"},{"mr":"पुंजावाद ( क्वांटम )"},{"ku":"دیارده کانی کوانتۆمی"},{"fi":"Kvantti-ilmiöt"},{"in":"Fenomena Kuantum"},{"et":"Kvantnähtused"},{"be":"Квантавыя з'явы"},{"nn":"Kvantefenomen"},{"gl":"Fenómenos Cuánticos"},{"bs":"Kvantni fenomeni"},{"zh_CN":"量子现象"},{"pt":"Mecânica Quântica"},{"ku_TR":"Bûyerên Qûwantûm"},{"nl":"Kwantumverschijnselen"},{"mk":"Квантни феномени"},{"de":"Quantenmechanische Phänomene"},{"el":"Κβαντικά φαινόμενα"},{"nb":"Kvantefenomener"},{"fa":"پدیده های کوانتومی"},{"zh_TW":"量子現象"},{"hu":"Kvantumjelenségek"},{"lt":"Kvantiniai reiškiniai"},{"uk":"Квантові явища"},{"th":"ปรากฏการณ์ควอนตัม"},{"hr":"Kvantni fenomeni"},{"si":"ක්වොන්ටම සංසිද්ධිය"},{"ja":"量子現象"},{"az":"Kvant Fenomeni"},{"uz":"Kvant Hodisalari"},{"sk":"Kvantové javy"},{"fr":"Phénomène quantiques"},{"sr":"Квантни феномени"},{"gu":"ક્વોન્ટમ ફેનોમેના"},{"cs":"Kvantové jevy"},{"ko":"양자현상"},{"eu":"Fenomeno kuantikoak"},{"ro":"Fenomene cuantice"},{"tr":"Kuantum Olgusu"},{"es":"Fenómenos Cuánticos"},{"pt_BR":"Fenômenos Quânticos"},{"it":"Fenomeni quantici"},{"da":"Kvantum-fænomener"},{"pl":"Efekty Kwantowe"},{"vi":"Hiện tượng lượng tử"},{"es_PE":"Fenómenos Cuánticos"},{"ar_SA":"الظواهر الكمية"}]},"10":{"childrenIds":[],"id":10,"name":"light-and-radiation","parent":4,"simulationIds":[9,11,21,23,24,28,30,33,35,36,37,39,42,43,56,58,65,79,80,84,110,115,146,158,169,180,225,227,231,245,246,255,271],"strings":[{"en":"Light & Radiation"},{"mn":"Гэрэл & Цацраг"},{"ka":"სინათლე & გამოსხივება"},{"mr":"प्रकाश आणि प्रारण"},{"ku":"تیشک و پرشنگ"},{"fi":"Valo ja säteily"},{"in":"Cahaya & Radiasi"},{"et":"Valgus & kiirgus"},{"be":"Святло і выпраменьванне"},{"nn":"Lys og stråling"},{"gl":"Luz e Radiación"},{"bs":"Svjetlost & Zračenje"},{"zh_CN":"光和辐射"},{"pt":"Luz & Radiação"},{"ku_TR":"Ronakî & Tîrêjdan"},{"nl":"Licht en straling"},{"mk":"Светлина & Радијација"},{"de":"Licht und Strahlung"},{"el":"Φως & Ακτινοβολία"},{"nb":"Lys og stråling"},{"fa":"نور و تابش"},{"zh_TW":"光與輻射"},{"hu":"Fény & sugárzások"},{"lt":"Šviesa ir radiacija"},{"uk":"Світло, випромінення"},{"th":"แสงสว่างและการแผ่รังสี"},{"hr":"Svjetlost i radijacija"},{"si":"අලෝකය සහ විස්තාරය :විකිරණ"},{"ja":"光と放射"},{"az":"İşıq və Radiasiya"},{"uz":"Yorug‘lik va Radiatsiya"},{"sk":"Svetlo a žiarenie"},{"fr":"Lumière & radiation"},{"sr":"Светлост & Зрачење"},{"gu":"પ્રકાશ અને રેડિયેશન"},{"cs":"Světlo a záření"},{"ko":"빛과 방사선"},{"eu":"Argia & Erradiazioa"},{"ro":"Lumină și radiație"},{"tr":"Işık & Radyasyon"},{"es":"Luz y Radiación"},{"pt_BR":"Luz & Radiação"},{"it":"Luce e radiazione"},{"da":"Lys & stråling"},{"pl":"Światło & Promieniowanie"},{"vi":"Ánh sáng & Bức xạ"},{"es_PE":"Luz & Radiación"},{"ar_SA":"الضوء والإشعاع"}]},"13":{"childrenIds":[19,20],"id":13,"name":"chemistry","parent":1,"simulationIds":[1,5,6,10,11,21,23,24,25,26,27,28,30,33,38,39,41,42,43,44,47,49,51,58,74,76,79,80,81,82,84,85,89,100,101,107,110,112,114,116,118,119,120,125,126,130,132,134,148,150,152,154,155,156,157,159,168,169,170,171,173,174,177,183,187,189,193,194,202,219,224,227,228,229,230,240,245,250,253,271,272,274,275,1276],"strings":[{"en":"Chemistry"},{"mn":"Хими"},{"ka":"ქიმია"},{"mr":"रसायनशास्त्र"},{"ku":"کیمیا"},{"fi":"Kemia"},{"in":"Kimia"},{"et":"Keemia"},{"be":"Хімія"},{"nn":"Kjemi"},{"gl":"Química"},{"bs":"Hemija"},{"zh_CN":"化学"},{"pt":"Química"},{"ku_TR":"Kîmya"},{"nl":"Chemie"},{"mk":"Хемија"},{"de":"Chemie"},{"el":"Χημεία"},{"nb":"Kjemi"},{"fa":"شیمی"},{"zh_TW":"化學"},{"hu":"Kémia"},{"lt":"Chemija"},{"uk":"Хімія"},{"th":"เคมี"},{"hr":"Kemija"},{"si":"රසායන විද්යාව"},{"ja":"化学"},{"az":"Kimya"},{"uz":"Kimyo"},{"sk":"Chémia"},{"fr":"Chimie"},{"sr":"Хемија"},{"gu":"રસાયણવિજ્ઞાન"},{"cs":"Chemie"},{"ko":"화학"},{"eu":"Kimika"},{"ro":"Chimie"},{"tr":"Kimya"},{"es":"Química"},{"pt_BR":"Química"},{"it":"Chimica"},{"da":"Kemi"},{"pl":"Chemia"},{"vi":"Hoá học"},{"es_PE":"Química"},{"ar_SA":"الكيمياء"}]},"15":{"childrenIds":[30,31],"id":15,"name":"math-and-statistics","parent":1,"simulationIds":[21,32,46,57,60,61,62,67,70,71,72,73,75,76,77,127,139,140,141,147,149,151,153,163,165,172,175,177,179,181,184,190,195,197,198,199,200,201,203,204,210,211,212,213,214,215,216,217,218,220,221,222,223,233,234,235,236,241,242,243,245,251,252,254,258,259,260,261,263,264,273],"strings":[{"en":"Math & Statistics"},{"mn":"Математик"},{"ka":"მათემატიკა"},{"mr":"गणित"},{"ku":"بیرکاری"},{"fi":"Matematiikka"},{"in":"Matematika"},{"et":"Matemaatika"},{"be":"Матэматыка"},{"nn":"Matematikk"},{"gl":"Matemáticas"},{"bs":"Matematika"},{"zh_CN":"数学"},{"pt":"Matemática"},{"ku_TR":"Bîrkarî (Matematîk)"},{"nl":"Wiskunde"},{"mk":"Математика"},{"de":"Mathematik"},{"el":"Μαθηματικά"},{"nb":"Matte"},{"fa":"ریاضیات"},{"zh_TW":"數學"},{"hu":"Matematika"},{"lt":"Matematika"},{"uk":"Математика"},{"th":"คณิตศาสตร์"},{"hr":"Matematika"},{"si":"ගණිතය"},{"ja":"数学"},{"az":"Riyaziyyat"},{"uz":"Matematika"},{"sk":"Matematika"},{"fr":"Maths"},{"sr":"Математика & Статистика"},{"gu":"ગણિત"},{"cs":"Matematika"},{"ko":"수학 및 통계학"},{"eu":"Matematika"},{"ro":"Matematică și Statistică"},{"tr":"Matematik"},{"es":"Matemáticas y Estadísticas"},{"pt_BR":"Matemática & Estatística"},{"it":"Matematica e statistica"},{"da":"Matematik og statistik"},{"pl":"Matematyka i statystyka"},{"vi":"Toán và Thống kê"},{"es_PE":"Matemáticas y Estadísticas"},{"ar_SA":"الرياضيات"}]},"20":{"childrenIds":[],"id":20,"name":"quantum","parent":13,"simulationIds":[5,6,10,21,24,28,33,39,41,42,49,58,74,80,227,245,271,272,274,1276],"strings":[{"en":"Quantum Chemistry"},{"mn":"Квант Хими"},{"ka":"Quantum ქიმია"},{"mr":"पुंज रसायनशास्त्र"},{"ku":"کیمیای کوانتۆمی"},{"fi":"Kvanttikemia"},{"in":"Kimia Kuantum"},{"et":"Kvantkeemia"},{"be":"Квантавая хімія"},{"nn":"Kvantekjemi"},{"gl":"Química Cuántica"},{"bs":"Kvantna hemija"},{"zh_CN":"量子化学"},{"pt":"Química Quântica"},{"ku_TR":"Kîmyaya Qûwantûm"},{"nl":"Kwantumchemie"},{"mk":"Квантна Хемија"},{"de":"Quantenchemie"},{"el":"Κβαντική χημεία"},{"nb":"Kvantekjemi"},{"fa":"شیمی کوانتومی"},{"zh_TW":"量子化學"},{"hu":"Kvantumkémia"},{"lt":"Kvantinė chemija"},{"uk":"Квантова хімія"},{"th":"ควอนตัมเคมี"},{"hr":"Kvantna kemija"},{"si":"ක්වොන්ටම් රසායන විද්යාව"},{"ja":"量子化学"},{"az":"Kvant Kimyası"},{"uz":"Kvant Kimyosi"},{"sk":"Kvantová chémia"},{"fr":"Chimie quantique"},{"sr":"Квантна хемија"},{"gu":"ક્વોન્ટમ રસાયણવિજ્ઞાન"},{"cs":"Kvantová chemie"},{"ko":"양자화학"},{"eu":"Kimika kuantikoa"},{"ro":"Chimie cuantică"},{"tr":"Kuantum Kimyası"},{"es":"Química Cuántica"},{"pt_BR":"Química Quântica"},{"it":"Chimica quantistica"},{"da":"Kvante-kemi"},{"pl":"Chemia Kwantowa"},{"vi":"Hoá lượng tử"},{"es_PE":"Química Cuántica"},{"ar_SA":"الكيمياء الكمية"}]},"24":{"childrenIds":[],"id":24,"name":"high-school","parent":21,"simulationIds":[1,2,3,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,38,39,43,44,45,46,47,50,51,52,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,89,91,98,99,100,101,102,103,104,105,107,108,109,110,111,112,113,114,115,116,117,118,119,120,125,126,127,128,130,132,134,137,138,139,140,141,143,144,145,146,147,148,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,180,181,182,183,184,187,188,189,190,191,193,194,197,200,201,202,203,204,205,206,207,208,213,214,216,217,218,219,224,225,227,228,229,233,234,235,237,238,239,240,244,245,246,247,248,249,253,255,256,259,260,262,263,264,265,266,267,268,269,270,271,272,274,275,1276],"strings":[{"en":"High School"},{"mn":"Бүрэн дунд боловсрол"},{"ka":"უმაღლესი განათლება"},{"mr":"उच्चमाध्यमिक वर्ग"},{"ku":"قوتابخانه ی دواناوه ندی"},{"fi":"Lukio"},{"in":"Sekolah Menengah Atas"},{"et":"Keskkool"},{"be":"Сярэдняя школа"},{"nn":"Vidaregåande skule"},{"gl":"Bacharelato"},{"bs":"Koledž (High School)"},{"zh_CN":"高中"},{"pt":"Ensino Secundário"},{"ku_TR":"Dibistana Amadeyî"},{"nl":"Hoger Secundair Onderwijs"},{"mk":"Висока школа"},{"de":"Sekundarstufe II"},{"el":"Λύκειο"},{"nb":"Videregående skole"},{"fa":"متوسطه و پیش دانشگاهی"},{"zh_TW":"高中"},{"hu":"Középiskola emelt"},{"lt":"Vidurinė mokykla (Gimnazija)"},{"uk":"Старші класи"},{"th":"ระดับมัธยมศึกษาตอนปลาย"},{"hr":"Srednja škola"},{"si":"උසස් පාසැල"},{"ja":"高等学校"},{"az":"Ali məktəb"},{"uz":"O‘rta Maktab"},{"sk":"Stredná škola"},{"fr":"Lycée"},{"sr":"Колеџ (High School)"},{"gu":"હાઈસ્કૂલ"},{"cs":"Střední škola"},{"ko":"고등학교"},{"eu":"Batxilergoa"},{"ro":"Liceu"},{"tr":"Lise"},{"es":"Bachillerato"},{"pt_BR":"Ensino Médio"},{"it":"Scuola Superiore"},{"da":"Gymnasium"},{"pl":"Liceum"},{"vi":"High school"},{"es_PE":"Escuela secundaria"},{"ar_SA":"المدرسة الثانوية"}]},"25":{"childrenIds":[],"id":25,"name":"university","parent":21,"simulationIds":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,91,98,99,100,101,102,103,104,105,108,109,110,111,112,114,115,116,117,118,119,120,127,128,130,132,134,136,137,138,143,144,145,146,151,152,153,154,155,156,157,158,159,160,161,162,164,165,166,167,168,169,170,172,173,174,175,176,177,178,180,181,182,183,184,187,188,189,190,191,193,200,202,203,204,205,206,207,208,217,219,224,225,227,228,229,233,234,235,237,238,240,244,245,246,247,248,249,250,253,256,259,260,262,263,264,265,266,267,268,269,271,272,274,275,1276],"strings":[{"en":"University"},{"mn":"Их сургууль"},{"ka":"უნივერსიტეტი"},{"mr":"विद्यापीठ पातळी"},{"ku":"زانستگا"},{"fi":"Yliopisto"},{"in":"Perguruan Tinggi"},{"et":"Ülikool"},{"be":"Універсітэт"},{"nn":"Høgskule/Universitet"},{"gl":"Universidade"},{"bs":"Fakultet (University)"},{"zh_CN":"大学"},{"pt":"Universidade"},{"ku_TR":"Zanîngeh"},{"nl":"Universiteit/Hogeschool"},{"mk":"Универзитет"},{"de":"Hochschule"},{"el":"Πανεπιστήμιο"},{"nb":"Høgskole/Universitet"},{"fa":"دانشگاهی"},{"zh_TW":"大學"},{"hu":"Egyetem"},{"lt":"Universitetas"},{"uk":"Університет"},{"th":"ระดับมหาวิทยาลัย"},{"hr":"Sveučilište"},{"si":"විශ්ව විද්යාලයය"},{"ja":"大学"},{"az":"Universitet"},{"uz":"Universitet"},{"sk":"Univerzita"},{"fr":"Université"},{"sr":"Факултет (University)"},{"gu":"યુનિવર્સિટી"},{"cs":"Univerzita"},{"ko":"대학교"},{"eu":"Unibertsitatea"},{"ro":"Universitar"},{"tr":"Üniversite"},{"es":"Universidad"},{"pt_BR":"Ensino Superior"},{"it":"Università"},{"da":"Universitet"},{"pl":"Studia"},{"vi":"Đại học"},{"es_PE":"Universidad"},{"ar_SA":"الجامعة"}]},"27":{"childrenIds":[],"id":27,"name":"ipad-tablet","parent":26,"simulationIds":[149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,193,194,195,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,1276],"strings":[{"en":"iPad/Tablet"},{"mn":"iPad/Таблет"},{"be":"Планшэт"},{"zh_CN":"iPad/Tablet"},{"pt":"iPad/Tablet"},{"nl":"iPad/Tablet"},{"mk":"iPad/Tablet"},{"de":"Tablet"},{"el":"iPad/Tablet"},{"nb":"iPad/Nettbrett"},{"zh_TW":"iPad/平板電腦"},{"hu":"iPad/Tablet"},{"lt":"iPad/Planšetė"},{"uk":"iPad/Планшет"},{"th":"ไอแพด/แท็บเล็ต"},{"hr":"iPad/Tablet"},{"si":"අයිපෑඩ්/ ටැබ්ලට්"},{"az":"iPad/Tablet"},{"uz":"iPad/Planshet"},{"sk":"iPad/Tablet"},{"fr":"iPad/Tablette"},{"sr":"iPad/Таблет"},{"gu":"આઇપેડ/ટેબ્લેટ"},{"cs":"iPad/Tablet"},{"ko":"i패드/태블릿"},{"eu":"iPada/Tableta"},{"ro":"iPad/Tabletă"},{"tr":"iPad/Tablet"},{"es":"iPad/Tablet"},{"pt_BR":"iPad/Tablet"},{"it":"iPad/Tablet"},{"da":"iPad/Tablet"},{"pl":"iPad/Tablet"},{"vi":"iPad/Tablet"},{"es_PE":"iPad/Tablet"}]},"28":{"childrenIds":[],"id":28,"name":"chromebook","parent":26,"simulationIds":[57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,101,103,108,117,136,146,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,193,194,195,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,1276],"strings":[{"en":"Chromebook"},{"mn":"Chromebook"},{"ka":"ქრომბუკი"},{"be":"Хромбук"},{"zh_CN":"Chromebook"},{"pt":"Chromebook"},{"nl":"Chromeboek"},{"mk":"Chromebook"},{"de":"Chromebook"},{"el":"Chromebook"},{"nb":"Chromebook"},{"zh_TW":"Chromebook"},{"hu":"Chromebook"},{"lt":"Chromebook"},{"uk":"Chromebook"},{"th":"โครมบุ๊ค"},{"hr":"Chromebook"},{"si":"Chromebook"},{"az":"Chromebook"},{"uz":"Chromebook"},{"sk":"Chromebook"},{"fr":"Chromebook"},{"sr":"Chromebook"},{"gu":"ક્રોમબુક"},{"cs":"Chromebook"},{"ko":"크롬북"},{"eu":"Chromebooka"},{"ro":"Chromebook"},{"tr":"Chromebook"},{"es":"Chromebook"},{"pt_BR":"Chromebook"},{"it":"Chromebook"},{"da":"Chromebook"},{"pl":"Chromebook"},{"vi":"Chromebook"},{"es_PE":"Chromebook"}]},"29":{"childrenIds":[],"id":29,"name":"html","parent":1,"simulationIds":[166,168,177,182,184,188,189,191,193,194,195,197,198,199,200,201,202,203,204,205,206,207,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,237,238,240,242,243,244,245,247,250,251,252,254,255,256,258,260,261,263,264,269,270,271,273,274,275],"strings":[{"en":"HTML5"},{"mn":"HTML5"},{"zh_CN":"HTML5"},{"pt":"HTML5"},{"nl":"HTML5"},{"mk":"HTML5"},{"de":"HTML5"},{"el":"HTML5"},{"zh_TW":"HTML5"},{"hu":"HTML5"},{"lt":"HTML5"},{"uk":"HTML5"},{"hr":"HTML5"},{"si":"HTML5"},{"az":"HTML5"},{"uz":"HTML5"},{"sk":"HTML5"},{"fr":"HTML5"},{"sr":"HTML5"},{"gu":"HTML5"},{"cs":"HTML5"},{"ko":"HTML5"},{"eu":"HTML5"},{"ro":"HTML5"},{"tr":"HTML5"},{"es":"HTML5"},{"pt_BR":"HTML5"},{"it":"HTML5"},{"da":"HTML5"},{"pl":"HTML5"},{"vi":"HTML5"},{"es_PE":"HTML5"}]},"31":{"childrenIds":[],"id":31,"name":"mathapplications","parent":15,"simulationIds":[21,32,46,60,67,70,72,73,76,127,153,172,175,177,203,204,217,235,245,260,263,264],"strings":[{"en":"Math Applications"},{"mn":"Математикийн хэрэглээ"},{"ka":"მათემატიკის აპლიკაციები"},{"zh_CN":"数学的应用"},{"pt":"Aplicações Matemáticas"},{"nl":"Wiskundige toepassingen"},{"mk":"Апликации по математика"},{"de":"mathematische Anwendungen"},{"el":"Εφαρμογές Μαθηματικών"},{"zh_TW":"數學應用"},{"hu":"Matematikai alkalmazások"},{"lt":"Matematikos taikymai"},{"uk":"Математичні додатки"},{"hr":"Primjena matematike"},{"si":"ගණිත යෙදුම්"},{"az":"Riyazi Tətbiqlər"},{"uz":"Matematikaning Tadbiqlari"},{"sk":"Aplikácie matematiky"},{"fr":"Applications mathématiques"},{"sr":"Математичке апликације"},{"gu":"ગણિતના ઉપયોગો"},{"cs":"Matematické aplikace"},{"ko":"수학 응용"},{"eu":"Matematika aplikazioak"},{"ro":"Aplicații de matematică"},{"tr":"Matematik Uygulamaları"},{"es":"Aplicaciones de Matemáticas"},{"pt_BR":"Matemática Aplicada"},{"it":"Matematica applicata"},{"da":"Matematik, applikationer"},{"pl":"Aplikacje matematyczne"},{"vi":"Ứng dụng toán học"},{"es_PE":"Aplicaciones Matemáticas"}]}},"keywords":{"52":{"id":52,"key":"keyword.quantumMechanics","strings":{"ar_SA":"ميكانيكا الكم","az":"Kvant Mexanikası","be":"Квантавая механіка","bs":"Kvantna mehanika","cs":"Kvantová mechanika","da":"Kvantummekanik","de":"Quantenmechanik","el":"Κβαντική μηχανική","en":"Quantum Mechanics","es":"Mecánica Cuántica","es_PE":"Mecánica Cuántica","eu":"Kuantu-mekanika","fa":"مکانیک کوانتومی","fi":"Kvanttimekaniikka","fr":"Mécanique quantique","gl":"Mecánica Cuántica","gu":"ક્વોન્ટમ મિકેનિક્સ","hr":"Kvantna mehanika","hu":"Kvantummechanika","in":"Mekanika Kuantum","it":"Meccanica quantistica","ja":"量子力学","ka":"კვანტური მექანიკა","ko":"양자역학","ku":"میکانیکی کوانتۆمی","ku_TR":"Mekanîka Qûwantûm","lt":"Kvantinė mechanika","mk":"Квантна механика","mn":"Квант Механик","mr":"क्वांटम यांत्रिकी","nb":"Kvantemekanikk","nl":"Quantummechanica","nn":"Kvantemekanikk","pl":"Mechanika kwantowa","pt":"Mecânica Quântica","pt_BR":"Mecânica Quântica","ro":"Mecanica cuantică","si":"ක්වොන්ටම් යාන්ත්ර විද්යාව","sk":"Kvantová mechanika","sr":"Квантна механика","th":"กลศาสตร์ควอนตัม","tr":"Kuantum Mekaniği","uk":"Квантова механіка","uz":"Kvant Mexanikasi","vi":"Cơ học lượng tử","zh_CN":"量子力学"}},"102":{"id":102,"key":"keyword.superposition","strings":{"ar_SA":"تراكب","az":"Superpozisiya","be":"Суперпазіцыя","bs":"Superpozicija","cs":"Skládání","da":"Superposition","de":"Überlagerung","el":"Επαλληλία","en":"Superposition","es":"Superposición","es_PE":"Superposición","eu":"Gainjartzea","fa":"برهم نهی","fi":"Superpositio","fr":"Superposition","gl":"Superposición","gu":"સુપરપોઝિશન","hr":"Superpozicija","hu":"Superpozíció","in":"Superposisi","it":"Sovrapposizione","ja":"重ね合わせ","ka":"სუპერპოზიცია","ko":"중첩","ku":"لهسهردانان","lt":"Superpozicija","mk":"Сложување","mn":"Суперпозиц","mr":"अध्यारोपण","nb":"Superposisjon","nl":"Superpositie","nn":"Superposisjon","pl":"Superpozycja","pt":"Sobreposição","pt_BR":"Sobreposição","ro":"Superpoziție","si":"අධිස්ථාපනය","sk":"Superpozícia","sr":"Суперпозиција","th":"การทับซ้อน","tr":"Süperpozisyon","uk":"Суперпозиція","uz":"Superpozitsiya","vi":"Superposition","zh_CN":"叠加"}},"135":{"id":135,"key":"keyword.harmonicMotion","strings":{"ar_SA":"الحركة التوافقية","az":"Harmonik hərəkət","be":"Гарманічны рух","bs":"Harmonijsko kretanje","cs":"Harmonické kmity","da":"Harmonisk bevægelse","de":"Harmonische Bewegung","el":"Αρμονική κίνηση","en":"Harmonic Motion","es":"Movimiento Harmónico","es_PE":"Movimiento Harmónico","eu":"Mugimendu harmonikoa","fa":"حرکت هماهنگ","fi":"Harmoninen liike","fr":"Mouvement harmonique","gl":"Movemento Harmónico","gu":"હાર્મોનિક ગતિ","hr":"Harmoničko gibanje","hu":"Harmonikus mozgás","in":"Gerak Harmonik","it":"Moto armonico","ja":"調和運動","ka":"ჰარმონიული მოძრაობა","ko":"조화운동","ku":"جووڵهی هاوساز","ku_TR":"Livîna Hevkêş","lt":"Harmoninis judėjimas","mk":"Хармонично движење","mn":"Гармоник Хөдөлгөөн","mr":"सहसंवादी गती","nb":"Harmonisk bevegelse","nl":"Harmonische beweging","nn":"Harmonisk rørsle","pl":"Ruch harmoniczny","pt":"Movimento Harmónico","pt_BR":"Movimento Harmônico","ro":"Mișcare armonică","si":"අනුවර්තී වලිතය","sk":"Harmonický pohyb","sr":"Хармонијско кретање","th":"การเคลื่อนที่แบบฮาร์โมนิค","tr":"Harmonik Hareket","uk":"Гармонічні коливання","uz":"Garmonik Harakat","vi":"Dao động điều hoà","zh_CN":"谐波运动"}},"136":{"id":136,"key":"keyword.wavelength","strings":{"ar_SA":"طول الموجة","az":"Dalğa uzunluğu","be":"Даўжыня хвалі","bs":"Talasna dužina","cs":"Vlnová délka","da":"Bølgelængde","de":"Wellenlänge","el":"Μήκος κύματος","en":"Wavelength","es":"Longitud de Onda","es_PE":"Longitud de Onda","eu":"Uhin-luzera","fa":"طول موج","fi":"Aallonpituus","fr":"Longueur d'onde","gl":"Lonxitude de Onda","gu":"વેવલેન્થ","hr":"Valna duljina","hu":"Hullámhossz","in":"Panjang Gelombang","it":"Lunghezza d'onda","ja":"波長","ka":"ტალღის სიგრძე","ko":"파장","ku":"درێژی شهپۆل","ku_TR":"Dirêjiya Pelê","lt":"Bangos ilgis","mk":"Бранова должина","mn":"Долгионы урт","mr":"तरंगलांबी","nb":"Bølgelengde","nl":"Golflengte","nn":"Bølgjelengd","pl":"Długość fali","pt":"Comprimento de Onda","pt_BR":"Comprimento de Onda","ro":"Lungime de undă","si":"තරංග ආයාමය","sk":"Vlnová dĺžka","sr":"Таласна дужина","th":"ความยาวคลื่น","tr":"Dalga Uzunluğu","uk":"Довжина хвилі","uz":"To‘lqin Uzunligi","vi":"Bước sóng","zh_CN":"波长"}},"137":{"id":137,"key":"keyword.amplitude","strings":{"ar_SA":"السعة","az":"Amplitud","be":"Амплітуда","bs":"Amplituda","cs":"Amplituda","da":"Amplitude","de":"Amplitude","el":"Πλάτος","en":"Amplitude","es":"Amplitud","es_PE":"Amplitud","eu":"Amplitudea","fa":"دامنه","fi":"Amplitudi","fr":"Amplitude","gl":"Amplitude","gu":"એમ્પલિટયૂડ","hr":"Amplituda","hu":"Amplitúdó","in":"Amplitudo","it":"Ampiezza","ja":"振幅","ka":"ამპლიტუდა","ko":"진폭","ku":"زۆروزهبهنهیی","ku_TR":"Firehî","lt":"Amplitudė","mk":"Амплитуда","mn":"Далайц","mr":"दोलविस्तार","nb":"Amplitude","nl":"Amplitude","nn":"Amplitude","pl":"Amplituda","pt":"Amplitude","pt_BR":"Amplitude","ro":"Amplitudine","si":"විස්තාරය","sk":"Amplitúda","sr":"Амплитуда","th":"แอมพลิจูด","tr":"Genlik","uk":"Амплітуда","uz":"Amplituda","vi":"Biên độ","zh_CN":"振幅","zh_TW":"振幅"}},"138":{"id":138,"key":"keyword.frequency","strings":{"ar_SA":"التكرار","az":"Tezlik","be":"Частата","bs":"Frekvencija","cs":"Frekvence","da":"Frekvens","de":"Frequenz","el":"Συχνότητα","en":"Frequency","es":"Frecuencia","es_PE":"Frecuencia","eu":"Maiztasuna","fa":"بسامد","fi":"Taajuus","fr":"Fréquence","gl":"Frecuencia","gu":"ફ્રેક્યુએનસી","hr":"Frekvencija","hu":"Frekvencia","in":"Frekuensi","it":"Frequenza","ja":"周波数","ka":"სიხშირე","ko":"진동수","ku":"فرێکانس","ku_TR":"Lere","lt":"Dažnis","mk":"Фреквенција","mn":"Давтамж","mr":"वारंवारता","nb":"Frekvens","nl":"Frequentie","nn":"Frekvens","pl":"Częstotliwość","pt":"Frequência","pt_BR":"Frequência","ro":"Frecvență","si":"සංඛ්යාත","sk":"Frekvencia","sr":"Фреквенција","th":"ความถี่","tr":"Frekans","uk":"Частота","uz":"Chastota","vi":"Tần số","zh_CN":"频率","zh_TW":"頻率"}},"139":{"id":139,"key":"keyword.fourierSeries","strings":{"ar_SA":"سلسلة فوريير","az":"Fourier seriyası","be":"Рад фур'е","bs":"Furijeova serija","cs":"Fourierovy řady","da":"Fourierserier","de":"Fourier Reihe","el":"Σειρές Fourier","en":"Fourier Series","es":"Series de Fourier","es_PE":"Series de Fourier","eu":"Fourier serieak","fa":"سری های فوریه","fi":"Fourier-sarja","fr":"Séries de Fourier","gl":"Series de Fourier","gu":"ફોરિયર સિરીઝ","hr":"Fourierovi redovi","hu":"Fourier-sor","in":"Deret Fourier","it":"Serie di Fourier","ja":"フーリエ級数","ka":"ფურიეს მწკრივები","ko":"푸리에 급수","ku":"ڕێسی فووریه","lt":"Furjė eilutė","mk":"Фуриеви серии","mn":"Фурьегийн Цуваа","mr":"फोरिअर मालिका","nb":"Fourierserier","nl":"Fourierserie","nn":"Fourierserie","pl":"Szereg Fouriera","pt":"Séries de Fourier","pt_BR":"Séries de Fourier","ro":"Seria Fourier","si":"ෆුරියර් ශ්රේණි","sk":"Fourierové rady","sr":"Фуријеова серија","th":"อนุกรมฟูเรีย","tr":"Fourier Serileri","uk":"Ряд Фур'є","uz":"Furye Seriyasi","vi":"Chuỗi Fourier","zh_CN":"傅里叶级数"}},"140":{"id":140,"key":"keyword.fourierAnalysis","strings":{"ar_SA":"تحليل فورييه","az":"Fourier analizi","be":"Аналіз Фур'е","bs":"Furijeova analiza","cs":"Fourierova analýza","da":"Fourier analyse","de":"Fourier Analyse","el":"Ανάλυση Fourier","en":"Fourier Analysis","es":"Análisis de Fourier","es_PE":"Análisis de Fourier","eu":"Fourier analiasia","fa":"تحلیل فوریه","fi":"Fourier-analyysi","fr":"Analyse de Fourier","gl":"Análise de Fourier","gu":"ફોરિયર એનાલિસિસ","hr":"Fourierova analiza","hu":"Fourier-analízis","in":"Analisa Fourier","it":"Analisi di Fourier","ja":"フーリエ解析","ka":"ფურიეს ანალიზი","ko":"푸리에 해석","ku":"شیکردنهوهی فووریه","lt":"Furjė analizė","mk":"Фуриева анализа","mn":"Фурьегийн Шинжилгээ","mr":"फोरिअर विश्लेषण","nb":"Fourieranalyse","nl":"Fourieranalyse","nn":"Fourieranalyse","pl":"Transformacja Fouriera","pt":"Análise de Fourier","pt_BR":"Análise de Fourier","ro":"Analiza Fourier","si":"ෆූරියර් විශ්ලේෂණය","sk":"Fourierová analýza","sr":"Фуријеова анализа","th":"การวิเคราะห์ฟูเรีย","tr":"Fourier Analizleri","uk":"Аналіз Фур'є","uz":"Furye Tahlili","vi":"Giải tích Fourier","zh_CN":"傅里叶分析"}},"141":{"id":141,"key":"keyword.period","strings":{"ar_SA":"دورة","az":"Period","be":"Перыяд","bs":"Period","cs":"Perioda","da":"Periode","de":"Periode","el":"Περίοδος","en":"Period","es":"Período","es_PE":"Período","eu":"Periodoa","fa":"دوره","fi":"Jakso","fr":"Période","gl":"Periodo","gu":"પિરિયડ","hr":"Period","hu":"Periódus","in":"Periode","it":"Periodo","ja":"周期","ka":"პერიოდი","ko":"주기","ku":"دهمی نۆرهیی","ku_TR":"Dewr","lt":"Periodas","mk":"Период","mn":"Үе","mr":"कालावधी","nb":"Periode","nl":"Periode","nn":"Periode","pl":"Okres","pt":"Período","pt_BR":"Período","ro":"Perioadă","si":"කාලය","sk":"Perióda","sr":"Период","th":"คาบ","tr":"Periyot","uk":"Період","uz":"Davr","vi":"Chu kỳ","zh_CN":"周期"}},"142":{"id":142,"key":"keyword.uncertaintyPrinciple","strings":{"ar_SA":"مبدأ الريبة أو عدم التأكد","az":"Qeyri-müəyyənlik prinsipi","be":"Прынцып нявызначанасці","bs":"Princip neodređenosti","cs":"Princip neurčitosti","da":"Usikerhedsprincip","de":"Unschärferelation","el":"Αρχή της Αβεβαιότητας","en":"Uncertainty Principle","es":"Principio de incertidumbre","es_PE":"Principio de incertidumbre","eu":"Ziurgabetasunaren printzipioa","fa":"اصل عدم قطعیت","fi":"Epätarkkuusperiaate","fr":"Principe d'incertitude","gl":"Principio de Incerteza","gu":"અનિશ્ચિતતા સિદ્ધાંત","hr":"Princip neodređenosti","hu":"Határozatlansági elv","in":"Prinsip Ketidak-pastian","it":"Principio di incertezza","ja":"不確定性原理","ka":"განუსაზღვრელობის პრინციპი","ko":"불확정성 원리","ku":"بنهمای نادڵنیایی","lt":"Neapibrėžtumo principas","mk":"Принцип на несигурност","mn":"Тодорхой бусын Зарчим","mr":"अनिश्चितता तत्व","nb":"Usikkerhetsprinsippet","nl":"Onzekerheidsprincipe","nn":"Uskarpleiksrelasjonen","pl":"Zasada nieoznaczoności","pt":"Princípio da Incerteza","pt_BR":"Princípio da Incerteza","ro":"Principiul Incertitudinii","si":"අවිනිශ්චිතතා මූලධර්මය","sr":"Принцип неодређености","th":"หลักความไม่แน่นอน","tr":"Belirsizlik İlkesi","uk":"Принцип невизначеності","uz":"Noaniqlik Prinsipi","vi":"Nguyên lý bất định","zh_CN":"不确定性原理"}},"143":{"id":143,"key":"keyword.wavePackets","strings":{"ar_SA":"حزم الموجات","az":"Dalğa paketləri","be":"Хвалевыя пакеты","bs":"Talasni paket","cs":"Vlnový balík","da":"Bølgepakker","de":"Wellenpakete","el":"Κυματοπακέτα","en":"Wave Packets","es":"Paquetes de Onda","es_PE":"Paquetes de Onda","eu":"Uhin-paketeak","fa":"بسته ی موج","fr":"Paquets d'onde","gl":"Paquetes de Onda","gu":"વેવ પેકેટ્સ","hr":"Paketi valova","hu":"Hullámcsomag","in":"Paket Gelombang","it":"Pacchetti d'onda","ja":"波束","ka":"ტალღების კონა","ko":"파동묶음","ku":"بهستهکانی شهپۆل","lt":"Bangų paketai","mk":"Бранови пакети","mn":"Долгионы орой","mr":"तरंग संपुट","nb":"Bølgepakker","nl":"Golfpakketjes","nn":"Bølgjepakkar","pl":"Paczki falowe","pt":"Pacotes de Onda","pt_BR":"Pacotes de Onda","ro":"Pachete de unde","si":"තරංග පැකට්","sk":"Vlnové balíky","sr":"Таласни пакет","th":"กลุ่มคลื่น","tr":"Dalga Paketleri","uk":"Хвильові пакети","uz":"To‘lqin Paketlari","vi":"Gói sóng","zh_CN":"波包"}},"248":{"id":248,"key":"keyword.sound","strings":{"ar_SA":"الصوت","az":"Səs","be":"Гук","bs":"Zvuk","cs":"Zvuk","da":"Lyd","de":"Klang","el":"Ήχος","en":"Sound","es":"Sonido","es_PE":"Sonido","eu":"Soinua","fa":"صوت","fi":"Ääni","fr":"Son","gl":"Sonido","gu":"સાઉન્ડ","hr":"Zvuk","hu":"Hang","in":"Suara","it":"Suono","ja":"音","ka":"ხმა","ko":"소리","ku":"دهنگ","ku_TR":"Deng","lt":"Garsas","mk":"Звук","mn":"Дуу","mr":"ध्वनी","nb":"Lyd","nl":"Geluid","nn":"Lyd","pl":"Dźwięk","pt":"Som","pt_BR":"Som","ro":"Sunet","si":"ශබ්දය","sk":"Zvuk","sr":"Звук","th":"เสียง","tr":"Ses","uk":"Звук","uz":"Ovoz","vi":"Âm","zh_CN":"声音"}},"249":{"id":249,"key":"keyword.pitch","strings":{"ar_SA":"درجة الميل والانحراف","az":"Meydança","be":"Падача","bs":"Korak","cs":"Sklon","da":"Pitch","de":"Pitch","el":"Τόνος","en":"Pitch","es":"Pendiente","es_PE":"Pendiente","eu":"Jaurti","fa":"ارتفاع","fi":"Sävelkorkeus","fr":"Pas","gl":"Tono","gu":"પીચ","hr":"Nagib","hu":"Hangmagasság","in":"Nada","it":"Picco","ja":"音高","ka":"ვარდნა","ko":"피치","ku":"لهتر","lt":"Aukštis","mk":"Висина","mn":"Үзүүр","mr":"उच्चनीचता","nb":"Tonehøyde","nl":"Toonhoogte","nn":"Tonehøgd","pl":"Wysokość tonu","pt":"Passo","pt_BR":"Altura","ro":"Înălțime","si":"අන්තරාලය","sr":"Корак","th":"ระดับเสียง (Pitch)","tr":"Zift","uk":"Схил","uz":"Balandlik","vi":"Cao độ","zh_CN":"节距"}},"260":{"id":260,"key":"keyword.waves","strings":{"ar_SA":"الموجات","az":"Dalğalar","be":"Хвалі","bs":"Talasi","cs":"Vlny","da":"Bølger","de":"Wellen","el":"Κύματα","en":"Waves","es":"Ondas","es_PE":"Ondas","eu":"Uhinak","fa":"موج ها","fi":"Aallot","fr":"Ondes","gl":"Ondas","gu":"વેવ્સ","hr":"Valovi","hu":"Hullám","in":"Gelombang","it":"Onde","ja":"波","ka":"ტალღა","ko":"파동","ku":"شهپۆلهکان","ku_TR":"Pel","lt":"Bangos","mk":"Бранови","mn":"Долгион","mr":"तरंग","nb":"Bølger","nl":"Golven","nn":"Bølgjer","pl":"Fale","pt":"Ondas","pt_BR":"Ondas","ro":"Unde","si":"තරංග","sk":"Vlny","sr":"таласи","th":"คลื่น","tr":"Dalgalar","uk":"Хвилі","uz":"To‘lqinlar","vi":"Sóng","zh_CN":"波"}},"271":{"id":271,"key":"keyword.sines","strings":{"ar_SA":"جيب التمام","az":"Sinus","be":"Сінус","bs":"Sinus","cs":"Síny","da":"Sinus","de":"Sinus","el":"Ημίτονα","en":"Sines","es":"Senos","es_PE":"Senos","eu":"Sines","fa":"سینوس","fi":"Sinit","fr":"Sinus","gl":"Senos","gu":"સાઇન્સ","hr":"Sinus","hu":"Szinusz","in":"Sinus","it":"Seno","ja":"サイン","ka":"სინუსი","ko":"사인파","ku":"سینوسهکان","lt":"Sinusai","mk":"Синус","mn":"Синус","mr":"Sines","nb":"Sinus","nl":"Sinussen","nn":"Sinus","pl":"Sinusy","pt":"Senos","pt_BR":"Senos","ro":"Sinus","si":"සයිනSines","sk":"Sínus","sr":"Синус","th":"ไซน์ (Sine)","tr":"Sinüs","uk":"Сінус","uz":"Sinuslar","vi":"Sin","zh_CN":"正弦"}},"272":{"id":272,"key":"keyword.cosines","strings":{"ar_SA":"جيب التمام","az":"Kosinus","be":"Косінус","bs":"Kosinus","cs":"Kosíny","da":"Cosinus","de":"Kosinus","el":"Συνημίτονα","en":"Cosines","es":"Cosenos","es_PE":"Cosenos","eu":"Kosinuak","fa":"کسینوس","fi":"Kosinit","fr":"Cosinus","gl":"Cosenos","gu":"કોસાઇન્સ","hr":"Kosinus","hu":"Koszinusz","in":"Cosinus","it":"Coseno","ja":"コサイン","ka":"კოსინუსი","ko":"코사인","ku":"کۆسینوس","lt":"Kosinusas","mk":"Косинус","mn":"Косинус","mr":"कोसाईन","nb":"Kosinus","nl":"Cosinussen","nn":"Kosinus","pl":"Cosinusy","pt":"Cosenos","pt_BR":"Cossenos","ro":"Cosinus","si":"කොසයින","sk":"Kosínus","sr":"Косинус","th":"โคซายน์","tr":"Kosinüs","uk":"Косинус","uz":"Kosinuslar","vi":"Cos","zh_CN":"余弦","zh_TW":"餘弦"}},"627":{"id":627,"key":"keyword.conjugateVariables","strings":{"az":"Konjuqat dəyişən","da":"Konjugere variabler","en":"Conjugate Variables","es":"Variables Conjugadas","es_PE":"Variables conjugadas","eu":"Aldagai konjokatuak","fr":"Variables conjuguées","gu":"કન્જુગેટ વેરીએબલ્સ","it":"Variabili coniugate","ko":"공액 변수","lt":"Konjugaciniai kintamieji","pl":"Zmienne sprzężone","pt_BR":"Variáveis Conjugadas","ro":"Variabile conjugate","tr":"Eşlenik Değişkenler","uk":"Залежні змінні","uz":"Bir-biriga bog‘liq o‘zgaruvchilar","vi":"Conjugate Variables"}},"628":{"id":628,"key":"keyword.harmonics","strings":{"az":"Harmoniklər","da":"Harmoniske","en":"Harmonics","es":"Armónicos","es_PE":"HarmónicosHarmonics","eu":"Harmonikoak","fr":"Harmoniques","gu":"હાર્મોનિક્સ","it":"Armoniche","ko":"조화파","lt":"Harmonija","pl":"Harmoniczne","pt_BR":"Harmônicas","ro":"Armonice","tr":"Harmonikler","uk":"Гармонічн.","uz":"Garmonika","vi":"Harmonics"}}},"projects":[{"id":205,"name":"html/fourier-making-waves","simulations":[{"a11yFeatures":[0,1,2,5,7],"alignmentIds":[],"allLocalesSimURL":"/sims/html/fourier-making-waves/latest/fourier-making-waves_all.html","altImageCount":3,"communityPublicationTime":0,"createTime":1634144268283,"credits":{"designTeam":"Chris Malley (lead developer)<br/>Amy Rouinfar (lead designer)<br/>Wendy Adams<br/>Mike Dubson<br/>Danielle Harlow<br/>Sam McKagan<br/>Ariel Paul<br/>Kathy Perkins<br/>Carl Wieman","libraries":"base64-js-1.2.0.js<br/>FileSaver-b8054a2.js<br/>flatqueue-1.2.1.js<br/>font-awesome-4.5.0<br/>fontawesome-free-5.15.2-desktop<br/>he-1.1.1.js<br/>himalaya-1.1.0.js<br/>jama-1.0.2<br/>jquery-2.1.0.js<br/>linebreak-1.1.0.js<br/>lodash-4.17.4.js<br/>paper-js-0.12.17.js<br/>peggy-3.0.2.js<br/>pegjs-0.7.0.js<br/>seedrandom-2.4.2.js<br/>TextEncoderLite-3c9f6f0.js<br/>","thanksTo":"We gratefully acknowledge support from STROBE NSF Science & Technology Center Grant DMR-1548924. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation."},"designTeam":"Chris Malley (lead developer)<br/>Amy Rouinfar (lead designer)<br/>Wendy Adams<br/>Mike Dubson<br/>Danielle Harlow<br/>Sam McKagan<br/>Ariel Paul<br/>Kathy Perkins<br/>Carl Wieman","hasPrototype":false,"highGradeLevel":3,"id":245,"isCommunity":false,"isHydrogen":false,"isNew":0,"isPhetStudio":false,"isPrototype":false,"keywordIds":[52,102,135,136,137,138,139,140,141,142,143,248,249,260,271,272,627,628],"legacyType":"java,cheerpj","libraries":"base64-js-1.2.0.js<br/>FileSaver-b8054a2.js<br/>flatqueue-1.2.1.js<br/>font-awesome-4.5.0<br/>fontawesome-free-5.15.2-desktop<br/>he-1.1.1.js<br/>himalaya-1.1.0.js<br/>jama-1.0.2<br/>jquery-2.1.0.js<br/>linebreak-1.1.0.js<br/>lodash-4.17.4.js<br/>paper-js-0.12.17.js<br/>peggy-3.0.2.js<br/>pegjs-0.7.0.js<br/>seedrandom-2.4.2.js<br/>TextEncoderLite-3c9f6f0.js<br/>","licenseUrls":["http://creativecommons.org/licenses/by-nc/4.0/","http://creativecommons.org/licenses/GPL/2.0/"],"localizedSimulations":{"am":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_am.html","id":12631,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_am.html","simPageUrl":"/am/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"ፉርየር፡ ሞገዶችን መስራት"},"ar":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ar.html","id":14566,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ar.html","simPageUrl":"/ar/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"فورييه: صنع الأمواج"},"az":{"description":"Müxtəlif formalı dalğalar yaratmaq üçün sinuslar və ya kosinuslar əlavə edin. Müxtəlif harmoniklərin amplitudlarının dəyişdirilməsinin eşitdiyiniz səsi necə dəyişdirdiyini kəşf edin. Dalğa Oyununu oynayın və hədəf dalğa formasına uyğunlaşmaq üçün harmonikləri birləşdirin. Dalğa paketləri qurun və Furye komponentləri və dalğa paketinin eni arasındakı məsafənin dəyişdirilməsinin təsirlərini araşdırın.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_az.html","id":14188,"isCheerpj":false,"learningGoals":"Sinusların və kosinusların birlikdə necə ixtiyari dövri funksiya yaratdığını keyfiyyətli şəkildə izah edin.<br/>Hər bir Furye komponentinin müxtəlif dalğa uzunluğunda və periodunda olan sinus dalğasına uyğun gəldiyini anlayın.<br/>Səsləri sinus dalğaları baxımından təsvir edin.<br/>Fəzada və zamanda olan dalğaları müqayisə edin və qarşılaşdırın.<br/>Dalğa uzunluğu və periodun qrafikdəki xüsusi nöqtələrə uyğun gəlmədiyini, lakin 2 ardıcıl əyri, təpə və ya başqa ardıcıl nöqtələr arasındakı uzunluq/zamanı göstərdiyini anlayın.<br/>Furye sırasının riyazi qeydlərini onun qrafik göstəricisi ilə əlaqələndirin və bərabərlikdə hər bir simvolun qrafikdə nəyi təsvir etdiyini müəyyən edin.<br/>λ & T və k & ω - nin oxşar olduğunu, lakin eyni olmadığını anlayın.<br/>Bərabərliyi cəm işarəsi şəklindən genişlənmiş şəkilə çevirin.<br/>Dalğa paketinin eninin fəzadakı mövqeyinini dalğa paketinin Furye məkanındakı eni ilə tərs mütənasib olmasını anlayın.<br/>Heisenbergin Qeyri-müəyyənlik Prinsipinin dalğaların xassələrindən necə yarandığını izah edin.<br/>Furye komponenetləri arasındakı aralıqların dalğa paketlərinin aralıqları ilə tərs mütənasib olduğunu və Furye komponentlərinin diskret paylanmasının tək dalğa paketinə gətirib çıxarmasını anlayın.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_az.html","simPageUrl":"/az/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","teachersGuide":"/teachers-guide/fourier-making-waves-html-guide_az.pdf","title":"Furye sıraları: Dalğa yaratmaq"},"bg":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_bg.html","id":14351,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_bg.html","simPageUrl":"/bg/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Фурие: Създаване на вълни"},"bn":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_bn.html","id":12938,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_bn.html","simPageUrl":"/bn/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"ফুরিয়ার বিশ্লেষণের মাধ্যমে : তরঙ্গ তৈরি করা"},"bs":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_bs.html","id":11556,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_bs.html","simPageUrl":"/bs/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Furije: Napravi talase"},"ca":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ca.html","id":13372,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ca.html","simPageUrl":"/ca/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: creant ones"},"cs":{"description":"Sčítejte siny nebo kosiny a vytvářejte vlny různých tvarů. Zjistěte, jak změna amplitudy různých harmonických mění zvuk, který slyšíte. Zahrajte si hru Vlny a kombinujte harmonické tak, aby odpovídaly cílovému tvaru vlny. Sestavte vlnové pakety a prozkoumejte účinky změny rozestupů mezi Fourierovými složkami a šířkou vlnového paketu.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_cs.html","id":12318,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_cs.html","simPageUrl":"/cs/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: dělejte vlny"},"da":{"description":"Tilføj sinus eller cosinus for at lave bølger med forskellige former. Opdag hvordan ændring af amplituderne af forskellige harmonier ændrer den lyd, du hører. Spil Wave Game og kombiner harmonier, for at matche en målbølgeform. Konstruer bølgepakker og udforsk virkningerne af at ændre afstanden mellem Fourier-komponenterne og bølgepakkebredden.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_da.html","id":11536,"isCheerpj":false,"learningGoals":"Forklar kvalitativt, hvordan sinus og cosinus lægger op til at skabe vilkårlige periodiske funktioner. <br/> Erkend, at hver Fourier-komponent svarer til en sinusformet bølge med en anden bølgelængde eller periode. <br/> Beskriv lyde i form af sinusformede bølger. <Br/ > Sammenlign og adskil bølger i rummet og bølger i tid. <br/> Erkend, at bølgelængde og periode ikke svarer til bestemte punkter på grafen, men angiver længden/tiden mellem to på hinanden følgende dale, toppe eller andre tilsvarende punkter. < br/> Relater den matematiske notation af en Fourier-serie til dens grafiske fremstilling, og bestem hvilket aspekt af grafen, der er beskrevet med hvert af symbolerne i ligningen. <br/> Erkend, at λ & T og k & ω er analoge, men ikke det samme. <br/> Oversæt en ligning fra summeringsnotation til udvidet notation. <br/> Erkend, at bredden af en bølgepakke i positionsrum er omvendt relateret til bredden af en bølgepakke i Fourier-rum. <br/ > Forklar, hvordan Heisenbergs Usikkerhedsprincip skyldes bølgernes egenskaber. <br/> Erkend, at afstanden mellem Fourier-komponenter er omvendt relateret til afstanden mellem bølgepakker, og at en kontinuerlig fordeling af Fourier-komponenter fører til en enkeltbølgepakke.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_da.html","simPageUrl":"/da/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Bølgefremstilling"},"de":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_de.html","id":11586,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_de.html","simPageUrl":"/de/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","teachersGuide":"/teachers-guide/fourier-making-waves-html-guide_de.pdf","title":"Fourier: Wellen erzeugen"},"el":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_el.html","id":11535,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_el.html","simPageUrl":"/el/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Φουριέ: φτιάχνοντας κύματα"},"en":{"description":"Add up sines or cosines to make waves of different shapes. Discover how changing the amplitudes of different harmonics changes the sound you hear. Play the Wave Game and combine harmonics to match a target waveform. Construct wave packets and explore the effects of changing the spacing between Fourier components and wave packet width.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_en.html","id":11533,"isCheerpj":false,"learningGoals":"Explain qualitatively how sines and cosines add up to produce arbitrary periodic functions.<br/>Recognize that each Fourier component corresponds to a sinusoidal wave with a different wavelength or period.<br/>Describe sounds in terms of sinusoidal waves.<br/>Compare and contrast waves in space and waves in time.<br/>Recognize that wavelength and period do not correspond to specific points on the graph but indicate the length/time between two consecutive troughs, peaks, or any other corresponding points.<br/>Relate the mathematical notation of a Fourier series to its graphical representation and determine which aspect of the graph is described by each of the symbols in the equation.<br/>Recognize that λ & T and k & ω are analogous, but not the same.<br/>Translate an equation from summation notation to expanded notation.<br/>Recognize that the width of a wave packet in position space is inversely related to the width of a wave packet in Fourier space.<br/>Explain how the Heisenberg Uncertainty Principle results from the properties of waves.<br/>Recognize that the spacing between Fourier components is inversely related to the spacing between wave packets, and that a continuous distribution of Fourier components leads to a single wave packet.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_en.html","simPageUrl":"/en/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","teachersGuide":"/teachers-guide/fourier-making-waves-html-guide_en.pdf","title":"Fourier: Making Waves"},"es":{"description":"Suma senos o cosenos para crear ondas de diferentes formas. Descubre cómo al cambiar las amplitudes de los distintos armónicos cambia el sonido que escuchas. Juega al juego de las ondas y combina los armónicos para que coincidan con una forma de onda especifica. Construye paquetes de ondas y explora los efectos de cambiar el espacio entre los componentes de Fourier y la anchura del paquete de ondas.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_es.html","id":11544,"isCheerpj":false,"learningGoals":"Explicar cualitativamente cómo los senos y cosenos se suman para producir funciones periódicas arbitrarias.<br/>Reconocer que cada componente de Fourier corresponde a una onda sinusoidal con una longitud de onda o período diferente.<br/>Describir los sonidos en términos de ondas sinusoidales.<br/>Comparar y contrastar las ondas en el espacio y las ondas en el tiempo.<br/>Reconocer que la longitud de onda y el periodo no corresponden a puntos específicos de la gráfica, sino que indican la longitud/tiempo entre dos valles consecutivos, picos o cualquier otro punto correspondiente.<br/>Relacionar la notación matemática de una serie de Fourier con su representación gráfica y determinar qué aspecto de la gráfica describe cada uno de los símbolos de la ecuación.<br/>Reconocer que λ & T y k & ω son análogos, pero no iguales.<br/>Traducir una ecuación de la notación sumatoria a la notación expandida.<br/>Reconocer que la anchura de un paquete de ondas en el espacio de posición está inversamente relacionada con la anchura de un paquete de ondas en el espacio de Fourier.<br/>Explicar cómo el Principio de Incertidumbre de Heisenberg resulta de las propiedades de las ondas.<br/>Reconocer que el espaciado entre las componentes de Fourier está inversamente relacionado con el espaciado entre los paquetes de ondas, y que una distribución continua de las componentes de Fourier conduce a un único paquete de ondas.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_es.html","simPageUrl":"/es/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","teachersGuide":"/teachers-guide/fourier-making-waves-html-guide_es.pdf","title":"Fourier: Creando Ondas"},"es_MX":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_es_MX.html","id":11543,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_es_MX.html","simPageUrl":"/es_MX/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Creando Ondas"},"es_PE":{"description":"Suma senos o cosenos para hacer ondas de diferentes formas. Descubra cómo cambiar las amplitudes de diferentes armónicos, cambia el sonido que escucha. Juega Wave Game y combina armónicos para que coincida con una forma de onda objetivo. Construya paquetes de ondas y explore los efectos de cambiar el espacio entre los componentes de Fourier y el ancho del paquete de ondas.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_es_PE.html","id":11548,"isCheerpj":false,"learningGoals":"Explique cualitativamente cómo los senos y cosenos se suman para producir funciones periódicas arbitrarias. <br/> Reconozca que cada componente de Fourier corresponde a una onda sinusoidal con una longitud de onda o período diferente. <br/> Describa los sonidos en términos de ondas sinusoidales. <Br / > Compara y contrasta ondas en el espacio y ondas en el tiempo. <br/> Reconoce que la longitud de onda y el período no corresponden a puntos específicos en el gráfico, pero indican la longitud / tiempo entre dos valles, picos o cualquier otro punto correspondiente. < br /> Relacionar la notación matemática de una serie de Fourier con su representación gráfica y determinar qué aspecto del gráfico es descrito por cada uno de los símbolos en la ecuación. <br/> Reconocer que λ & T y k & ω son análogos, pero no es lo mismo. <br/> Traducir una ecuación de notación sumatoria a notación expandida. <br/> Reconocer que el ancho de un paquete de ondas en el espacio de posición está inversamente relacionado con el ancho de un paquete de ondas en el espacio de Fourier. <br / > Explique cómo el principio de incertidumbre de Heisenberg resulta de las propiedades de las ondas. <br/> Reconozca que el espacio entre los componentes de Fourier está inversamente relacionado con el espacio entre los paquetes de ondas, y que una distribución continua de los componentes de Fourier conduce a un solo paquete de ondas.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_es_PE.html","simPageUrl":"/es_PE/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Haciendo ondas"},"eu":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_eu.html","id":11585,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_eu.html","simPageUrl":"/eu/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Uhinak egiten"},"fa":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_fa.html","id":12517,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_fa.html","simPageUrl":"/fa/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"فوریه: درست کردن امواج"},"fr":{"description":"Additionnez des sinus ou des cosinus pour créer des ondes de formes différentes. Découvrez comment la modification des amplitudes de différentes harmoniques modifie le son que vous entendez. Jouez au jeu des ondes et combinez les harmoniques pour obtenir une forme d'onde cible. Construisez des paquets d'ondes et explorez les effets de la modification de l'espacement entre les composantes de Fourier et de la largeur du paquet d'ondes.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_fr.html","id":11593,"isCheerpj":false,"learningGoals":"Expliquez qualitativement comment les sinus et les cosinus s'additionnent pour produire des fonctions périodiques arbitraires.<br/>Remarquez que chaque composante de Fourier correspond à une onde sinusoïdale avec une longueur d'onde ou une période différente.<br/>Décrivez les sons en termes d'ondes sinusoïdales.<br/>Comparez et mettez en constraste les ondes dans l'espace et les ondes dans le temps.<br/>Remarquez que la longueur d'onde et la période ne correspondent pas à des points spécifiques sur le graphique mais indiquent la durée/le temps entre deux creux, pics ou tout autre point correspondant consécutifs.<br/>Reliez la notation mathématique d'une série de Fourier à sa représentation graphique et déterminez quel aspect du graphique est décrit par chacun des symboles de l'équation.<br/>Remarquez que λ & T et k & ω sont analogues, mais pas identiques.<br/>Traduisez une équation de la notation de sommation à la notation développée.<br/>Remarquez que la largeur d'un paquet d'ondes dans l'espace de position est inversement proportionnelle à la largeur d'un paquet d'ondes dans l'espace de Fourier.<br/>Expliquez comment la série de Heisenberg le principe d'incertitude résulte des propriétés des ondes.<br/>Reconnaître que l'espacement entre les composantes de Fourier est inversement proportionnel à l'espacement entre les paquets d'ondes, et qu'une distribution continue des composantes de Fourier conduit à un seul paquet d'ondes.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_fr.html","simPageUrl":"/fr/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier : Faire des vagues"},"gu":{"description":"વિવિધ આકારોના તરંગો બનાવવા માટે સાઈન અથવા કોસાઈન ઉમેરો. શોધો કે કેવી રીતે વિવિધ હાર્મોનિક્સના કંપનવિસ્તાર બદલવાથી તમે સાંભળો છો તે અવાજમાં ફેરફાર થાય છે. વેવ ગેમ રમો અને લક્ષ્ય વેવફોર્મને મેચ કરવા માટે હાર્મોનિક્સને જોડો. વેવ પેકેટો બનાવો અને ફોરિયર ઘટકો અને વેવ પેકેટ પહોળાઈ વચ્ચેના અંતરને બદલવાની અસરોનું અન્વેષણ કરો.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_gu.html","id":12015,"isCheerpj":false,"learningGoals":"મનસ્વી સામયિક વિધેય સંકલન કરવા માટે સાઈન અને કોસાઈન્સ કેવી રીતે જોડાય છે તે ગુણાત્મક રીતે સમજાવો.<br/>સ્વીકારો કે દરેક ફૌરીયર ઘટક અલગ તરંગલંબાઈ અથવા અવધિ સાથે સાઈનસાઈડલ તરંગને અનુરૂપ છે.<br/>સાઈનસાઈડલ તરંગોના સંદર્ભમાં અવાજોનું વર્ણન કરો.<br/> >અવકાશમાં તરંગો અને સમયના તરંગોની સરખામણી કરો અને વિપરીત કરો.<br/>સમજાવો કે તરંગલંબાઇ અને સમયગાળો ગ્રાફ પરના ચોક્કસ બિંદુઓને અનુરૂપ નથી પરંતુ સતત બે બિંદુ, શિખરો અથવા અન્ય કોઈપણ અનુરૂપ બિંદુઓ વચ્ચેની લંબાઈ/સમય સૂચવે છે.< br/>ફોરિયર શ્રેણીના ગાણિતિક સંકેતને તેના ગ્રાફિકલ પ્રતિનિધિત્વ સાથે સંબંધિત કરો અને સમીકરણમાંના દરેક પ્રતીકો દ્વારા ગ્રાફના કયા પાસાને વર્ણવવામાં આવ્યું છે તે નિર્ધારિત કરો.<br/>સ્વીકારો કે λ & T અને k & ω સમાન છે, પરંતુ સમાન નથી.<br/>સમીકરણ નોટેશનમાંથી વિસ્તૃત નોટેશનમાં સમીકરણનો અનુવાદ કરો.<br/>પોઝીશન સ્પેસમાં વેવ પેકેટની પહોળાઈ ફ્યુરિયર સ્પેસમાં વેવ પેકેટની પહોળાઈ સાથે વિપરીત રીતે સંબંધિત છે તે ઓળખો.<br/ > સમજાવો કે કેવી રીતે હેઈઝનબર્ગ અનસે તરંગોના ગુણધર્મમાંથી અનિશ્ચિતતા સિદ્ધાંત પરિણમે છે.<br/>સ્વીકારો કે ફ્યુરિયર ઘટકો વચ્ચેનું અંતર તરંગ પેકેટો વચ્ચેના અંતર સાથે વિપરીત રીતે સંબંધિત છે, અને તે કે ફોરિયર ઘટકોનું સતત વિતરણ સિંગલ વેવ પેકેટ તરફ દોરી જાય છે.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_gu.html","simPageUrl":"/gu/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"ફોરિયર: મેકિંગ વેવ્ઝ"},"ha":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ha.html","id":13546,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ha.html","simPageUrl":"/ha/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Foriya: Yin taguwowi"},"hi":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_hi.html","id":15553,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_hi.html","simPageUrl":"/hi/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"फ़ूरियर: तरंग बनाना"},"hr":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_hr.html","id":13102,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_hr.html","simPageUrl":"/hr/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Stvaranje valova"},"ht":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ht.html","id":15103,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ht.html","simPageUrl":"/ht/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Fè Vag"},"ig":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ig.html","id":12485,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ig.html","simPageUrl":"/ig/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Ime Ebili Mmiri"},"is":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_is.html","id":11816,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_is.html","simPageUrl":"/is/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Sjaldan fellur ein báran stök"},"it":{"description":"Somma seni o coseni per creare onde di forme diverse. Scopri come la modifica delle ampiezze delle diverse armoniche modifica il suono che ascolti. Gioca a \"Gioca con le onde\" e combina le armoniche per trovare una forma d'onda proposta. Costruisci pacchetti d'onda ed esplora gli effetti della modifica della spaziatura tra le componenti di Fourier e la larghezza del pacchetto d'onda.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_it.html","id":11547,"isCheerpj":false,"learningGoals":"Spiegare qualitativamente come seno e coseno si sommano per produrre arbitrariamente funzioni periodiche.<br/>Riconoscere che ogni componente di Fourier corrisponde a un'onda sinusoidale con una lunghezza d'onda o periodo diverso.<br/>Descrivere i suoni in termini di onde sinusoidali.<br/ >Confrontare e contrapporre le onde nello spazio e le onde nel tempo.<br/>Riconoscere che la lunghezza d'onda e il periodo non corrispondono a punti specifici sul grafico, ma indicano la lunghezza/tempo tra due minimi, picchi o altri punti corrispondenti consecutivi.< br/>Collegare la notazione matematica di una serie di Fourier alla sua rappresentazione grafica e determinare quale aspetto del grafico è descritto da ciascuno dei simboli nell'equazione.<br/>Riconoscere che λ e T come k e ω sono analoghe, ma non la stessa cosa.<br/>Tradurre un'equazione dalla notazione additiva alla notazione estesa.<br/>Riconoscere che la larghezza di un pacchetto d'onda nello spazio delle posizioni è inversamente proporzionale alla larghezza di un pacchetto d'onda nello spazio di Fourier.<br/ >Spiegare come il principio di inteterminazione di Heisenberg risulta dalle proprietà delle onde.<br/>Riconoscere che la spaziatura tra le componenti di Fourier è inversamente proporzionale alla spaziatura tra i pacchetti d'onda e che una distribuzione continua di componenti di Fourier porta a un singolo pacchetto d'onda.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_it.html","simPageUrl":"/it/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Creare onde"},"iw":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_iw.html","id":11562,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_iw.html","simPageUrl":"/iw/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"פורייה: עושים גלים"},"ki":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ki.html","id":14567,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ki.html","simPageUrl":"/ki/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Múthiere wa hinya: Gúthondeka hinya wa wave"},"ko":{"description":"다양한 형태의 파동을 만들기 위해 사인 또는 코사인을 더해보세요. 다양한 고조파의 진폭을 변경하면 듣는 소리가 어떻게 변하는지 알아보세요. Wave Game을 플레이하고 고조파를 결합하여 목표 파형과 일치시켜보세요. 파 패킷을 만들고 푸리에 성분과 파 패킷 너비 사이의 간격을 변경하는 효과를 탐구하세요.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ko.html","id":14071,"isCheerpj":false,"learningGoals":"사인과 코사인이 더해져 임의의 주기적 함수를 생성하는 방식에 대해 질적으로 설명합니다.<br/>각 푸리에 성분이 서로 다른 파장 또는 주기를 갖는 사인파에 해당한다는 것을 인식합니다.<br/>사인파로 음향을 설명합니다.<br/>공간의 파동과 시간의 파동을 비교하고 대조합니다.<br/>파장과 주기가 그래프의 특정 지점과 대응하지 않지만 연속적으로 나타나는 높은점 또는 저점 사이의 길이/시간을 나타낸다는 것을 이해합니다.<br/>푸리에 급수의 수학적 표기와 그래픽 표현을 관련시키고 방정식의 각 기호가 그래프의 어떤 측면을 설명하는지 결정합니다.<br/>λ 및 T와 k 및 ω가 유사하지만 동일하지 않다는 것을 인식합니다.<br/>합의 표기에서 확장된 표기로 방정식을 번역합니다.<br/>위치 공간에서의 파 패킷의 너비와 푸리에 공간에서의 파 패킷의 너비는 역 관계에 있다는 것을 설명합니다.<br/>하이젠베르크 불확실성 원리가 파동의 특성에서 어떻게 나오는지 설명합니다.<br/>푸리에 성분 간의 간격이 파 패킷 간의 간격과 역 관계에 있으며, 연속적인 푸리에 성분 분포가 단일 파 패킷으로 이어진다는 것을 인식합니다.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ko.html","simPageUrl":"/ko/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"푸우리에: 파형만들기"},"ku":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ku.html","id":16046,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ku.html","simPageUrl":"/ku/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"فۆریە: دروستکردنی شەپۆلەکان"},"lg":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_lg.html","id":14022,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_lg.html","simPageUrl":"/lg/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Okukola Amayengo"},"mn":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_mn.html","id":11567,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_mn.html","simPageUrl":"/mn/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Фурье: Долгион бүтээх"},"ms":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ms.html","id":13045,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ms.html","simPageUrl":"/ms/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Membuat Gelombang"},"mt":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_mt.html","id":14774,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_mt.html","simPageUrl":"/mt/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"'Fourier: Making Waves'"},"nl":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_nl.html","id":13408,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_nl.html","simPageUrl":"/nl/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Golven maken"},"ny":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ny.html","id":13925,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ny.html","simPageUrl":"/ny/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Kupanga Mafunde"},"om":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_om.html","id":13859,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_om.html","simPageUrl":"/om/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fuuriyeeri: Dambalii Hojjechuu"},"pl":{"description":"Dodaj sinusy lub cosinusy, aby uzyskać fale o różnych kształtach. Odkryj, jak zmiana amplitud różnych składowych harmonicznych zmienia dźwięk, który słyszysz. Zagraj w Grę Falową i łącz składowe harmoniczne, aby dopasować docelowy kształt fali. Skonstruuj paczki falowe i badaj skutki zmiany odległości między składowymi Fouriera i szerokości pakietu falowego.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_pl.html","id":11539,"isCheerpj":false,"learningGoals":"Wyjaśnij jakościowo, jak sinusy i cosinusy sumują się, tworząc dowolne funkcje okresowe.<br/>Zauważ, że każda składowa Fouriera odpowiada fali sinusoidalnej o innej długości fali lub okresie.<br/>Opisuj dźwięki w kategoriach fal sinusoidalnych.<br/>Porównaj i skontrastuj fale w przestrzeni i fale w czasie.<br/>Rozpoznaj, że długość fali i okres nie odpowiadają konkretnym punktom na wykresie, ale wskazują długość/czas pomiędzy dwoma kolejnymi minimami, maksimami lub innymi odpowiadającymi (ta sama faza) sobie punktami.<br/>Odnieś zapis matematyczny szeregu Fouriera do jego graficznej reprezentacji i określ, który aspekt wykresu jest opisany przez każdy z symboli w równaniu.<br/>Zauważ, że λ i T oraz k i ω to wielkości analogiczne, ale nie takie same.<br/>Przepisz równanie z zapisu sumarycznego na zapis rozszerzony.<br/>Dostrzeż, że szerokość pakietu falowego w przestrzeni położenia jest odwrotnie związana z szerokością pakietu falowego w przestrzeni Fouriera.<br/>Wyjaśnij, jak z własności fal wynika zasada nieoznaczoności Heisenberga.<br/>Rozpoznaj, że odstęp między składowymi Fouriera jest odwrotnie proporcjonalny do odstępu między paczkami falowymi oraz że ciągły rozkład składowych Fouriera prowadzi do pojedynczej paczki falowej.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_pl.html","simPageUrl":"/pl/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","teachersGuide":"/teachers-guide/fourier-making-waves-html-guide_pl.pdf","title":"Fourier: Konstruowanie fal"},"pt":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_pt.html","id":11695,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_pt.html","simPageUrl":"/pt/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Gerar Ondas"},"pt_BR":{"description":"Use senos ou cossenos para criar ondas de diferentes formas. Descubra como alterar as amplitudes de diferentes harmônicos altera o som que você ouve. Jogue o Wave Game e combine harmônicos para corresponder a uma forma de onda alvo. Construa pacotes de ondas e explore os efeitos de alterar o espaçamento entre os componentes de Fourier e a largura do pacote de ondas.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_pt_BR.html","id":11538,"isCheerpj":false,"learningGoals":"Explicar qualitativamente como os senos e cossenos se somam para produzir funções periódicas arbitrárias.<br/>Reconhecer que cada componente de Fourier corresponde a uma onda senoidal com um comprimento de onda ou período diferente.<br/>Descrever os sons em termos de ondas senoidais.<br/>Comparar e diferenciar ondas no espaço e ondas no tempo.<br/>Reconhecer que o comprimento de onda e o período não correspondem a pontos específicos no gráfico, mas indicam a duração/tempo entre dois vales consecutivos, picos ou quaisquer outros pontos correspondentes.<br/>Relacionar a notação matemática de uma série de Fourier à sua representação gráfica e determine qual aspecto do gráfico é descrito por cada um dos símbolos na equação.<br/>Reconhecer que λ & T e k & ω são análogos, mas não o mesmo.<br/>Traduzir uma equação de notação de soma para notação expandida.<br/>Reconhecer que a largura de um pacote de ondas no espaço de posição está inversamente relacionada à largura de um pacote de ondas no espaço de Fourier.<br/>Explicar como o Princípio da Incerteza de Heisenberg resulta das propriedades das ondas.<br/>Reconhecer que o espaçamento entre os componentes de Fourier está inversamente relacionado ao espaçamento entre os pacotes de ondas e que uma distribuição contínua dos componentes de Fourier leva a um único pacote de ondas.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_pt_BR.html","simPageUrl":"/pt_BR/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Construindo Ondas"},"ro":{"description":"Adunați sinusuri sau cosinusuri pentru a obține unde de diferite forme. Descoperiți cum modificarea amplitudinilor diferitelor armonici schimbă sunetul pe care îl auziți. Jucați Jocul valurilor și combinați armonicele pentru a obține forma de undă dorită. Construiți pachete de unde și explorați efectele modificării distanței dintre componentele Fourier și a lărgimii pachetului de unde.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ro.html","id":11888,"isCheerpj":false,"learningGoals":"Să explice calitativ modul în care sinusurile și cosinusurile se adună pentru a produce funcții periodice arbitrare.<br/>Să recunoască faptul că fiecare componentă Fourier corespunde unei unde sinusoidale cu o lungime de undă sau perioadă diferită.<br/>Să descrie sunetele în termeni de unde sinusoidale.<br/>Să compare și să distingă undele în spațiu și undele în timp.<br/>Să observe că lungimea de undă și perioada nu corespund unor puncte specifice de pe grafic, ci indică lungimea/timpul dintre două minime consecutive, maxime sau orice alte puncte analoage.<br/>Să coreleze notația matematică a unei serii Fourier cu reprezentarea sa grafică și să determine ce aspect al graficului este descris de fiecare dintre simbolurile din ecuație.<br/>Să recunoască faptul că mărimile λ și T, respectiv, k și ω sunt analoge, dar nu identice.<br/>Să transforme o ecuație din notația de adunare în notație expandată.<br/>Să recunoască faptul că lățimea unui pachet de unde în spațiul de poziție este invers legată de lățimea unui pachet de unde în spațiul Fourier.<br/>Să explice modul în care principiul de incertitudine Heisenberg rezultă din proprietățile undelor.<br/>Să recunoască faptul că distanța dintre componentele Fourier este legată invers de distanța dintre pachetele de unde și că o distribuție continuă a componentelor Fourier conduce la un singur pachet de unde.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ro.html","simPageUrl":"/ro/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Crearea de unde"},"ru":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ru.html","id":11953,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_ru.html","simPageUrl":"/ru/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Фурье: создание волн"},"rw":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_rw.html","id":13611,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_rw.html","simPageUrl":"/rw/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Gukora umuraba"},"sk":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sk.html","id":14082,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sk.html","simPageUrl":"/sk/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Skladanie vĺn"},"sq":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sq.html","id":11541,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sq.html","simPageUrl":"/sq/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Analiza Furie: Ndërtimi i valëve"},"sr":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sr.html","id":11534,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sr.html","simPageUrl":"/sr/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Фурије: Направи таласе"},"st":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_st.html","id":13883,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_st.html","simPageUrl":"/st/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier:ho etsa maqhubu"},"sv":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sv.html","id":15314,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sv.html","simPageUrl":"/sv/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Skapa vågor"},"sw":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sw.html","id":13332,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_sw.html","simPageUrl":"/sw/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Foria: Kutengenza Mawimbi"},"te":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_te.html","id":12346,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_te.html","simPageUrl":"/te/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"ఫోరియర్: తరంగాల సృష్టి"},"th":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_th.html","id":11818,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_th.html","simPageUrl":"/th/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"สร้างคลื่นด้วยฟูเรียร์"},"tk":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_tk.html","id":12722,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_tk.html","simPageUrl":"/tk/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Furýe: tolkun döretmek"},"tr":{"description":"Farklı şekillerde dalgalar oluşturmak için sinüsleri veya kosinüsleri toplayın. Farklı harmoniklerin genliklerini değiştirmenin duyduğunuz sesi nasıl değiştirdiğini keşfedin. Dalga Oyununu oynayın ve harmonikleri hedef dalga biçimine uyacak şekilde birleştirin. Dalga paketleri oluşturun ve Fourier bileşenleri ile dalga paketi genişliği arasındaki mesafeyi değiştirmenin etkilerini keşfedin.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_tr.html","id":11881,"isCheerpj":false,"learningGoals":"Sinüs ve kosinüslerin rastgele periyodik fonksiyonlar üretmek için nasıl toplandığını nitel olarak açıklar.<br/>Her bir Fourier bileşeninin, farklı bir dalga boyu veya periyodu olan sinüzoidal bir dalgaya karşılık geldiğinin farkına varır.<br/>Sesleri sinüzoidal dalgalar cinsinden tanımlar.<br/>Uzaydaki dalgaları ve zamandaki dalgaları karşılaştırır.<br/>Dalga boyu ve periyodun grafikteki belirli noktalara karşılık gelmediğini, ancak birbirini izleyen iki çukur, tepe noktası veya karşılık gelen diğer noktalar arasındaki uzunluğu/süreyi gösterdiğinin farkına varır.<br/>Bir Fourier serisinin matematiksel gösterimini grafik gösterimiyle ilişkilendirir ve denklemdeki sembollerin her biri tarafından grafiğin hangi yönünün açıklandığını belirler.<br/>λ & T ve k & ω'nin benzer olduğunu ancak aynı olmadığının farkına varır.<br/>Bir denklemi toplama gösteriminden genişletilmiş gösterime çevirir.<br/>Konum uzayındaki bir dalga paketinin genişliğinin, Fourier uzayındaki bir dalga paketinin genişliği ile ters orantılı olduğunun farkına varır.<br/>Heisenberg Belirsizlik İlkesinin dalgaların özelliklerinden nasıl kaynaklandığını açıklar.<br/>Fourier bileşenleri arasındaki aralığın dalga paketleri arasındaki boşlukla ters orantılı olduğunu ve Fourier bileşenlerinin sürekli dağılımının tek bir dalga paketine yol açtığının farkına varır.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_tr.html","simPageUrl":"/tr/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Dalga Oluştur"},"tw":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_tw.html","id":12773,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_tw.html","simPageUrl":"/tw/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Wef adeyɔ"},"uk":{"description":"Використайте синуси або косинуси, щоб утворити хвилі різної форми. <br/>Дізнайтеся, як зміна амплітуд різних гармонік змінює звук, який ви чуєте. <br/>Пограйте в гру і комбінуйте гармоніки, щоб відповідати цільовій формі хвилі. Побудуйте хвильові пакети та дослідіть наслідки зміни інтервалів між компонентами Фур’є та ширини хвильового пакета.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_uk.html","id":12775,"isCheerpj":false,"learningGoals":"Поясніть якісно, як синус і косинус утворюють довільні періодичні функції.<br/>Вирізніть, що кожен компонент Фур’є відповідає синусоїдальній хвилі з іншою довжиною хвилі або періодом.<br/>Опишіть звуки в термінах синусоїдальних хвиль.<br/ >Порівняйте хвилі в просторі та хвилі в часі.<br/>Усвідомте, що довжина хвилі та період не відповідають конкретним точкам на графіку, а вказують довжину/час між двома послідовними спадами, піками чи будь-якими іншими відповідними точками.< br/>Зв’яжіть математичне позначення ряду Фур’є з його графічним зображенням і визначте, який аспект графіка описується кожним із символів у рівнянні.<br/>Визнайте, що λ & T і k & ω є аналогічними, але це не те ж саме.<br/>Визнайте, що ширина хвильового пакета в просторі позицій обернено пов’язана з шириною хвильового пакета в просторі Фур’є.<br/ >Поясніть, як Принцип стійкості Гейзенберга випливає з властивостей хвиль.<br/>Визнайте, що відстань між компонентами Фур’є обернено пов’язана з інтервалом між хвильовими пакетами, і що безперервний розподіл компонентів Фур’є призводить до одного хвильового пакету.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_uk.html","simPageUrl":"/uk/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Хвилі з Ряда Фур'є"},"uz":{"description":"Turli shakldagi to‘lqinlarni hosil qilish uchun sinuslar yoki kosinuslarni qo‘shing. Turli xil garmonikalarning amplitudalarini o‘zgartirish siz eshitadigan tovushni qanday o‘zgartirishini bilib oling. To‘lqin O‘yinini o‘ynang va maqsad qilingan to‘lqin shakliga mos keladigan garmonikalarni birlashtiring. To‘lqin paketlarini tuzing va Furye komponentlari va to‘lqin paketi kengligi orasidagi masofani o‘zgartirish ta'sirlarini o‘rganing.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_uz.html","id":12383,"isCheerpj":false,"learningGoals":"Sinuslar va kosinuslar ixtiyoriy davriy funksiyalarni hosil qilish uchun qanday qo‘shilishini sifat jihatidan tushuntiring.<br/>Har bir Furye komponenti boshqa to‘lqin uzunligi yoki davri bo‘lgan sinusoid to‘lqinga mos kelishini bilib oling.<br/>Sinusoid to‘lqinlar nuqtayi nazaridan tovushlarni tasvirlang.<br/>Kosmosdagi to‘lqinlar va vaqt oralig‘idagi to‘lqinlarni solishtiring va taqqoslang.<br/>To‘lqin uzunligi va davri grafikdagi aniq nuqtalarga to‘g‘ri kelmasligini, lekin ketma-ket ikkita eng past, eng yuqori yoki boshqa mos nuqtalar orasidagi uzunlik/vaqtni ko‘rsatishini bilib oling.<br/>Furye qatorining matematik belgilarini uning grafik tasviri bilan bog‘lang va tenglamadagi belgilarning har biri bilan grafikning qaysi tomoni tasvirlanganligini aniqlang.<br/>λ & T va k & ω o‘xshashligini, lekin bir xil emasligini bilib oling.<br/>Tenglamani yig‘indili ko‘rinishdan kengaytirilgan ko‘rinishga o‘tkazing.<br/>Pozitsiya fazosidagi to‘lqin paketining kengligi Furye fazosidagi to‘lqin paketining kengligiga teskari bog‘liqligini bilib oling.<br/>Geyzenberg Noaniqlik Prinsipi to‘lqinlar xossalaridan qanday kelib chiqishini tushuntiring.<br/>Furye komponentlari orasidagi masofa to‘lqin paketlari orasidagi masofaga teskari bog‘liqligini va Furye komponentlarining uzluksiz taqsimlanishi bitta to‘lqin paketiga olib kelishini bilib oling.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_uz.html","simPageUrl":"/uz/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","teachersGuide":"/teachers-guide/fourier-making-waves-html-guide_uz.pdf","title":"Fourier: To'lqinlarni yaratish"},"vi":{"description":"Cộng các hàm sin và cos đẻ tạo ra sóng có hình dạng khác nhau. <br/>Khám phá ra cách thay đổi biên độ của các hoạ ba khác nhau để làm thay đổi âm mà bạn nghe được.<br/>Chơi game Sóng và kết hợp các hoạ ba để tạo ra dạng sóng yêu cầu. <br/>Tạo ra các gói sóng và tìm hiểu ảnh hưởng của việc thay đổi khoảng cách giữa các thành phần Fourier và bề rộng của gói sóng.","downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_vi.html","id":11555,"isCheerpj":false,"learningGoals":"Giải thích, một cách định tính, cách cộng các hàm sin và cosin để tạo ra các hàm số tuần hoàn bất kỳ.<br/>Biết được: mỗi số hạng Fourier tương ứng với một sóng hình sin có chu kỳ và bước sóng khác nhau.<br/>Nhận biết mối liên hệ giữa không gian Fourier và không gian thực.<br/>Mô tả âm bằng sóng hình sin.<br/>So sánh và đối chiếu sự khác nhau giữa sóng trong không gian và trong thời gian.<br/>Nhận biết được: bước sóng và chu kỳ không tương ứng với các điểm đặc biệt trên đồ thị mà chỉ là khoảng cách/thời gian giữa hai đỉnh/hõm sóng liên tiếp hay hai điểm bất kỳ tương ứng.<br/>Liên hệ các ký hiệu toán học của chuỗi Fourier với biểu diễn bằng đồ thị của sóng.<br/>Xác định được phần của đồ thị được mô tả bằng các ký hiệu tương ứng trong phương trình. <br/>Biết được: lambda & T và k & omega thì tương tự nhưng không giống hệt nhau.<br/>Chuyển đổi được từ dạng tổng sang dạng khai triển và ngược lại.<br/>Biết được: bề rộng của gói sóng trong không gian vị trí tỷ lệ nghịch với bề rộng gói sóng trong không gian Fourier.<br/>Giải thích được Nguyên lý bất định Heisenberg là kết quả của tính chất sóng.<br/>Biết được: khoảng cách giữa các thành phần Fourier tỷ lệ nghịch với khoảng cách giữa các gói sóng, và gói sóng đơn là kết quả của sự phân bố liên tục của các thành phần Fourier.","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_vi.html","simPageUrl":"/vi/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Tổng hợp sóng"},"yo":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_yo.html","id":13548,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_yo.html","simPageUrl":"/yo/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Making Waves"},"zh_TW":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_zh_TW.html","id":11563,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_zh_TW.html","simPageUrl":"/zh_TW/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"Fourier: Making Waves_傅立葉：產生波形"},"zu":{"downloadUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_zu.html","id":14812,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/fourier-making-waves/latest/fourier-making-waves_zu.html","simPageUrl":"/zu/simulations/fourier-making-waves","sonificationVideoUrl":"https://www.youtube-nocookie.com/embed/-B3-kaEaomI","title":"u-fourier: ukwenza amagagasi"}},"lowGradeLevel":2,"lreTerms":[],"name":"fourier-making-waves","phetStudioPublicationTime":"","phetioVersion":"","prototypeTime":0,"relatedSimulations":[6,40,136,225,247],"scienceLiteracyMapKeys":[],"secondaryAlignmentIds":[],"subjects":[4,6,9,10,13,15,20,31],"thanksTo":"We gratefully acknowledge support from STROBE NSF Science & Technology Center Grant DMR-1548924. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.","topicIds":[139,142,143,248,627,628],"updateTime":1782288146450}],"type":2,"version":{"dev":5,"major":1,"minor":1,"string":"1.1.5","timestamp":0}}]}}
