# Fourier: tvorenie vĺn

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• Vlny
• Sínus
• Kosínus

### Popis

Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.

### Ukážkové ciele vzdelávania

• Explain qualitatively how sines and cosines add up to produce arbitrary periodic functions.
• Recognize that each Fourier component corresponds to a sinusoidal wave with a different wavelength or period.
• Mentally map simple functions between Fourier space and real space.
• Describe sounds in terms of sinusoidal waves.
• Describe the difference between waves in space and waves in time.
• 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.
• Become comfortable with various mathematical notations for writing Fourier transforms, and relate the mathematics to an intuitive picture of wave forms.
• Determine which aspect of a graph of a wave is described by each of the symbols lambda, T, k, omega, and n.
• Recognize that lambda & T and k & omega are analogous, but not the same.
• Translate an equation from summation notation to extended notation.
• Recognize that the width of a wave packet in position space is inversely related to the width of a wave packet in Fourier space.
• Explain how the Heisenberg Uncertainty principle results from the properties of waves.
• 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.
Verzia 3.06

### Typy pre učiteľov

 Prehľad ovládacích prvkov simulácie, modelové zjednodušenie a postrehy o študentskom uvažovaní. ( PDF ).

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Amharic All Amharic አራትዮሽ፡ ሞገድ መስራት
Angličtina All English Fourier: Making Waves
Baskičtina All Euskara Fourier: Uhinak sortzen
Bosnian All Bosanski FURIJE-OVA SINTEZA - PRAVLJENJE TALASA
Bulharčina All български Фурие: Получаване на вълни
Čínština (Tradičná) All 中文 (台灣) Fourier: Making Waves 傅力葉:與波共舞
Čínština (Zjednodušená) All 中文 (中国) 傅里叶:生成波
Dánčina All Dansk Fourir: Bølgefremstilling
Estónčina All Eesti Fourier: Lainete tekitamine
Francúzština All français Fourier: Création d'ondes
Gréčtina All Ελληνικά Fourier: Δημιουργία Κυμάτων
Hebrejčina All עברית פוריה: עושים גלים
Holandčina All Nederlands Boventonen
Chorvátčina All hrvatski Kompozicija valova (Fourierova sinteza)
Indonesian All Bahasa Indonesia Fourier : Mengkontruksi Gelombang
Japončina All 日本語 フーリエ級数展開:波の合成
Khmer All Khmer Fourier: ការបង្កើតរលក
Kórejčina All 한국어 푸리에: 파동 생성
Lao All Lao ຟູເຍ້: ການເຮັດໃຫ້ຄື້ນຟອງ
Macedonian All македонски ФУРИОВА СИНТЕЗА -ПРАВЕЊЕ НА БРАНОВИ
Maďarčina All magyar Fourier: hullám-LEGO
Mongolian All Монгол (Монгол) Фурьей: Долгион хийх
Nemčina All Deutsch Wellen zusammensetzen nach FOURIER
Perzština All فارسی تولید موج ها
Poľština All polski Fourier: Konstruowanie fal
Portugalčina All português Séries de Fourier: Fazendo Ondas
Portugalčina (Brazília) All português (Brasil) Fourier: Criando Ondas
Srbčina All Српски ФУРИЈЕ-ОВА СИНТЕЗА -ПРАВЉЕЊЕ ТАЛАСА
Španielčina All español Fourier: Fabricacion de Ondas
Španielčina (Mexico) All español (México) Fourier: Fabricacion de Ondas
Španielčina (Peru) All español (Perú) Fourier: Haciendo Ondas
Taliančina All italiano Fourier: Costruire le onde
Turečtina All Türkçe Fourier Serileri: Dalga Yapalım
Turkmen All Turkmen Furýe: tolkun ýasamak
Vietnamčina All Tiếng Việt Tổng hợp sóng
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