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Wednesday, 14 May 2008 00:00 |
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Gaston Julia studied the iteration of polynomials and rational functions
in the early twentieth century. If f(x) is a function,
various behaviors can arise when f is iterated. Let's take,
for example, the function
f(x) = x2 – 0.75. |
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Friday, 30 May 2008 20:45 |
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Monday, 02 June 2008 15:51 |
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Double click with left mouse button shifts the origin
Double click with right mouse button clears the screen.
Dragging changes the viewing angle.
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Friday, 30 May 2008 22:02 |
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Measurements
are not to scale.
Choose
between experiment and results to view either from the list at the bottom left.
When
results are displayed, moving the mouse near the x-axis shows the
alignment of individual phasors and the resultant phasor.
The
intensity in the sidebands is exaggerated to make them visible.
Notice
the change of scale on the y axis when the slit width is increased. For a
slit width below a certain value the maximum value of factional intensity
on the y axis is 1 and for those above it it is 0.1.
You
can view the experimental arrangement from different perspectives by dragging
with the mouse, but I guess this option is best unused. You can also shift the
arrangement by double clicking any where in the applet area.
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Monday, 16 November 2009 06:56 |
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 Newton went beyond his simple laws of motion and gravitation to develop a whole set of mathematics to describe and calculate orbits. Today we can this mathematics calculus. The key to calculus is the use of vectors. A vector is a quantity that has both magnitude and direction. It is typically represented symbolically by an arrow in the proper direction, whose length is proportional to the magnitude of the vector. Although a vector has magnitude and direction, it does not have position. A vector is not altered if it is displaced parallel to itself as long as its length is not changed.
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