Comparison+and+contrast


 * Not so good 2pts **
 * Assignment**
 * I. Click the following link and you will find a text called "Mandelbrot and Julia Sets".**

__Comparisons:__ Both Mandelbrot and Julia sets are types of fractals.

Both these sets require the use of complex numbers.

it is easier to view the function f(z) to be a machine

It is equally obvious that if one were to take a number greater than 1

For the Mandelbrot and Julia sets it can be proved (through a very complex proof) that if the distance, on the Cartesian plane (remember we are using complex numbers here), between the origin and a point resulting from the iteration of some initial value is greater than 2 then the behaviour of that initial value is that it will go to infinity.

A Julia set is almost the same thing

__Contrasts:__ However, these are more complicated fractals then the other fractals that have been mentioned (such as the [|Sierpinski's triangle]).

Thus the basic difference between the Mandelbrot set and Julia set is that in any Mandelbrot set, you are plotting various values of c on a Cartesian plane, whereas for a Julia set, you are plotting various starting values of z, and c is kept constant.

However, the other points, which are not part of the set are the ones that result in the beautiful colours.
 * Good Job **

The odd numbers and the even numbers can are the result of multiplications and sums of other numbers. Even numbers have 2 as a divisor, but odd numbers don't. As soon as you have your assignment ready please write your answers in your wiki. []
 * II. In your own words, write the comparison and contrast of the mathematical terms you defined, described and classified.**
 * Too short there are certainly lots more to compare and contrast here **

For further information please visit: http://www.eslbee.com/compcont.htm