Description


 * Super [[image:ghost.gif]] ****3.5pts **

Part I 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]] In red are the adjectives. The characteristics are underline **d **...  **there are some in blue too.... ** The definition is mainly in the first two lines of the starting paragraph. There you can find two definitions for the word fractal. The description can be f__ind__ **found ** in the second paragraph. What helped me find it was that you can see there a lot of adjective **s ** and caracteristics that aren’t in the definition. When you see that the second paragraph starts with “ A fractal often has the following features:” you can sense that the following is a description. **Good **  Part II For this description we asume that the reader is familiarized with the definition of a fuction. General fuctions can present this properties: -derivavility. -integrability. -continuity. And so many other that is hard to list them all. In parcticular: Fuction we use to model real life problems are usually __continoues__, this is because of the structure of common real life issues. Also fuctions that are use to count set of items present some properties such as: inyective,onto,biyective. In general fuctions use **d ** to study certain thing have special properties wich helps us understand whatever it is we are __studiying__.
 * __It has a fine structure at arbitrarily small scales. __
 * __It is too irregular to be easily described in traditional [|Euclidean geometric] language. __
 * __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It is [|self-similar] (at least approximately or [|stochastically] ). __
 * __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">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]] __
 * __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It has a simple and [|recursive] [| definition] . __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">