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3D Manipulation in Mathematica 6

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Mathematica 6 has a new function called Manipulate that allows parameters of a function to be changed in real time. This is an example of a 3D manipulation of a function.The function is f(x,y) = m x^p y + b where m, p and b are changed to create variations.Sliders are used to change m, p and b. The change of the 3D viewpoint is accomplished by clicking the mouse on the graph and dragging in the different directions. The click and drag to change viewpoint is very intuitive.

Channel: Howto & Style
Uploaded: December 31, 1969 at 6:59 pm
Author: mathnexus

Length: 01:21
Rating: 3.75
Views: 6797

Tags: 3D  animation  calculus  function  math  mathematica  

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Video Comments

mathnexus (December 31, 1969 at 6:59 pm)
I don't know. I use Mathematica on desktop systems as part of my teaching. I haven't explored any of the web capabilities of Mathematica.
technogearhead (December 31, 1969 at 6:59 pm)
Thanks... thats great...Any chance the web interface will be compatible with cell phones?
mathnexus (December 31, 1969 at 6:59 pm)
Yes. I created a video based on your comment titled "Plotting a Four Dimensional Function." Go to the list of Mathnexus videos and check it out. Using the function f(r,s,t)=r^2 * s^2 * t^5, t is varied (animated) to yield a sequence of 3D plots. Each value of t yields a 3D "slice" of the 4D function. The actual video is produced using Snap Z Pro from Ambrosia Software which is a screen capture utility for Mac OS X. I start the screen capture then interact with Mathematica.
technogearhead (December 31, 1969 at 6:59 pm)
Thats great, can it do 4 dimenional graphing and record the changing graph as a video file?

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