EJS version of Fourier Synthesis (You can hear the sound,too!)

[ahmedelshfie]

This follwing applet is EJS version of Fourier Synthesis (You can hear the sound,too!)
Created by pro Hwang modified by Ahmed
Original project EJS version of Fourier Synthesis (You can hear the sound,too!)

You can adjust the Fourier component with the slider and watch the wave change at the same time.
Click "play" to hear the sound.

Embed a running copy of this simulation
<applet code='users.br.ahmed.fouriersound_pkg.fouriersoundApplet.class' archive='http://www.phy.ntnu.edu.tw/ntnujava/ejsuser/37048/ejs_fouriersound.jar' name='fouriersound6102' id='fouriersound6102' width='847' height='541' mayscript=true><param name='draggable' value='true'></applet>
Embed a running copy link(show simulation in a popuped window)
<a href='http://www.phy.ntnu.edu.tw/ntnujava/msg.php?smfejs=6102' target='smfejs'>Run simulation</a>

Full screen applet or Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License

• Please feel free to post your ideas about how to use the simulation for better teaching and learning.
• Post questions to be asked to help students to think, to explore.
• Upload worksheets as attached files to share with more users.

Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!

[motazibrahim]

thank you

[ahmedelshfie]

This a simple applet created by prof Hwang
I add a musical keyboard just for fun. ENjoy it!

Embed a running copy of this simulation
<applet code='users.br.ahmed.musicalkeyboard_pkg.musicalkeyboardApplet.class' archive='http://www.phy.ntnu.edu.tw/ntnujava/ejsuser/37048/ejs_musicalkeyboard.jar' name='musicalkeyboard6105' id='musicalkeyboard6105' width='796' height='144' mayscript=true><param name='draggable' value='true'></applet>
Embed a running copy link(show simulation in a popuped window)
<a href='http://www.phy.ntnu.edu.tw/ntnujava/msg.php?smfejs=6105' target='smfejs'>Run simulation</a>

Full screen applet or Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License

• Please feel free to post your ideas about how to use the simulation for better teaching and learning.
• Post questions to be asked to help students to think, to explore.
• Upload worksheets as attached files to share with more users.

Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!

[ahmedelshfie]

In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The attempt to understand functions (or other objects) by breaking them into basic pieces that are easier to understand is one of the central themes in Fourier analysis. Fourier analysis is named after Joseph Fourier who showed that representing a function by a trigonometric series greatly simplified the study of heat propagation.
Today the subject of Fourier analysis encompasses a vast spectrum of mathematics with parts that, at first glance, may appear quite different. In the sciences and engineering the process of decomposing a function into simpler pieces is often called an analysis. The corresponding operation of rebuilding the function from these pieces is known as synthesis. In this context the term Fourier synthesis describes the act of rebuilding and the term Fourier analysis describes the process of breaking the function into a sum of simpler pieces. In mathematics, the term Fourier analysis often refers to the study of both operations.
In Fourier analysis, the term Fourier transform often refers to the process that decomposes a given function into the basic pieces. This process results in another function that describes how much of each basic piece are in the original function. However, the transform is often given a more specific name depending upon the domain and other properties of the function being transformed, as elaborated below. Moreover, the original concept of Fourier analysis has been extended over time to apply to more and more abstract and general situations, and the general field is often known as harmonic analysis.

[ahmedelshfie]

Here another version from Fourier Synthesis design by prof Hwang,,modified by Ahmed.
This applet design using JDK1.0.2.
Original applet on Fourier Synthesis
I upload zip file,,after download unzip file and access applet.
Enjoy!

[ahmedelshfie]

Registed user can get files related to this applet for offline access.
If java program did not show up, please download and install latest Java RUN TIME

Original applet Fourier Synthesis design by prof Hwang
URL applet Fourier Synthesis

Registed user can get files related to this applet for offline access.
If java program did not show up, please download and install latest Java RUN TIME

[ahmedelshfie]

This is Fourier Synthesis design by Paul Falstad
URL applet http://www.falstad.com/vowel/