Description

**Super 5`pts**
**Descripcions** =Fractal=

From Wikipedia, the free encyclopedia
Jump to: [|navigation], [|search] The Mandelbrot set is a famous example of a fractal   A **fractal** is "a rough or fragmented [|geometric shape] that __can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"__[1] a property called [|self-similarity]. Roots of mathematical interest on fractals can be traced back to the late 19th Century; however, the term "fractal" was coined by Benoît Mandelbrot in 1975 and was derived from the [|Latin] //fractus// meaning "broken" or "fractured." A mathematical fractal __is based on an__ [|equation] __that undergoes__ [|iteration]__, a form of__ [|feedback] __based on__ recursion.[|[2]]   A fractal often has the following features: [3] **http://en.wikipedia.org/wiki/Fractal** I  1) A ** fractal ** (term to be defined) is " a rough or fragmented [|geometric shape] (general class word) that __ can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole (characteristics) __,"[|[1]] a property called [|self-similarity].
 * [[image:file:///C:/DOCUME%7E1/Ferrari/CONFIG%7E1/Temp/msohtml1/01/clip_image008.gif width="69" height="32"]] [[image:file:///C:/DOCUME%7E1/Ferrari/CONFIG%7E1/Temp/msohtml1/01/clip_image009.gif width="64" height="27"]] __It has a fine structure at arbitrarily small scales.__
 * [[image:file:///C:/DOCUME%7E1/Ferrari/CONFIG%7E1/Temp/msohtml1/01/clip_image010.gif width="48" height="32"]] __It is too irregular to be easily described in traditional__ [|Euclidean geometric] __language.__
 * __It is__ [|self-similar] __(at least approximately or__ [|stochastically]__).__
 * [[image:file:///C:/DOCUME%7E1/Ferrari/CONFIG%7E1/Temp/msohtml1/01/clip_image011.gif width="69" height="32"]] [[image:file:///C:/DOCUME%7E1/Ferrari/CONFIG%7E1/Temp/msohtml1/01/clip_image012.gif width="49" height="32"]] [[image:file:///C:/DOCUME%7E1/Ferrari/CONFIG%7E1/Temp/msohtml1/01/clip_image013.gif width="54" height="29"]] __It has a__ [|Hausdorff dimension] __which is greater than its__ [|topological dimension] __(although this requirement is not met by__ [|space-filling curves] __such as the__ [|Hilbert curve]__).__[4]
 * __It has a simple and__ recursive definition__.__

2) The description is presented in the second paragraph. It is locating for the first line that says: “A fractal often has the following features”.

II  My description of multiplication: Multiplication expression is an operation that has many characteristics: it is commutative and associative for real numbers, it is easy to solve, and it is a long addition whit a number that is added the as times as say the other number, it have a result that is named product.