Page Content
- Visualisation of various fields
[1]- © P. Falstad
The Java applet shows different vector fields and their corresponding potential, where applicable. One can also visualise own fields defined by arbitrary functions.
Many physical processes can be described within the appropriate vector field, as for example the movement of a charged particle in a conservative electromagnetic field or non-conservative rotational field.
- [3]
- © A. Goriely
With this Player-Notebook you can observe fundamental orthogonal functions and the Integral of their product.
These functions often are the basis for the quantum-mechanical description as well as, for example, the harmonic oscillator or the hydrogen atom.
Download the .nbp [4] file and execute with Wolfram CDF Player or Mathematica. (see note below)
Out of the Wolfram Demonstrations Project
- [5]
- © ITP TU Berlin
Step-, jig-saw and other functions can be approximated through varying the number of Fourier coefficients.
- Just like above [6], but with an additional triangle function and explanation of the Fourier terms on the Wolfram website
- Here [7]one can vary the coefficients and frequencies and examine the approximating graph.
- [8]
- © Wolfram Research
The gradient of an arbitary point of a function f(x,y) is calculated and shown in this visualisation. A series of implemented functions can be chosen.
- [9]
- © Wolfram Research
Note: Open the demonstrations with the free
Mathematica CDF Player (Win,Mac,Linux) or Wolfram
Mathematica (version 6 or higher).
The source code (*.nb file) is also available and can be opened with Wolfram Mathematica.
eLearing/vektorfelder.png
hematical_methods/orthoganl_functions/parameter/en/font
4/minhilfe/
eLearing/orthogonal.png
lFunctions2_04.nbp
eLearing/Fourier.png
scontinuousFunctionsByFourierSeries/
mpleFunctions/
eLearing/Mathematica/MM/gradient.png
eLearing/mathematica.png