Definition+and+description

**Definitions**
A definition is a rethorical pattern you use to conceptualize words. Definitions usually have a term to be defined, a general class word and a characteristic or characteristics. Example A dog (term to be defined) is an animal (general class word) that barks has four legs and a tail. (characteristics)

=Description= A description is a writing form used to create an impression of an object, person, place, event, process, mechanism, etc. You can describe people, objects, animals, plants, or you can also describe how an event happened, how a mechanism operates, etcetera. In a description you find many ** adjectives ** which are the words that will characterize any thing you want to describe. __Example 1:__ In an **equilateral triangle**, all sides are of equal length. An equilateral triangle is also an equiangular polygon, i.e. all its internal angles are equal—namely, 60°; it is a regular polygon. This description was taken from the following web page: [] __Example 2:__ A polygon that is not convex is called **concave**.[|[2]] A concave polygon will always have an interior angle with a measure that is greater than 180 degrees. It is possible to cut a concave polygon into a set of convex polygons This description was taken from the following web page: [] == =Assignment= I. Now select 5 definitions from the on-line mathematics dictionary at [], [|http://www.math.com/school/glossary/glossindex.html], [], or from any other math glossary or dictionary and copy them. Your job will be to identify: a. the term to be defined b. the general class word and c. the characteristics Addition:

Term to be defined: addition The general class word: an operation or process Characteristics: used for calculating the sum of two numbers or quantities

Area:

Term to be defined: area The general class word: a geometrical measure Characteristics: measure used to calculate the surface of a bidimensional or flat object

Cube:

Term to be defined: cube the general class word: a prism Characteristics: a six square faces polyhedron

Line:

Term to be defined: line the general class word: a extent of lenght characteristics: a continuous extent of lenght containing two or more points

Volume: Term to be defined: volume the general class word: a geometrical measure characteristics: a measure of number of cubic units needed to fill the space inside an object

II. __**Using your own words**__, write 1 definition about any mathematical terms.

A Right angle: IS ninety degrees angle present in any right triangles.

[|__http://en.wikipedia.org/wiki/Fractal__]
 * III. In the text you will find when you click the link below, extract the first paragraph and please find all the characteristics of fractals and underline them. Also find the adjectives and circle them.Be careful ! ! ! **

The underline D parts are the characteristics of fractals, and the italic or cursive words are the adjetives.

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__," a property called [|self-similarity]. Roots of mathematically rigorous treatment of fractals can be traced back to functions studied by [|Karl Weierstrass], [|Georg Cantor] and [|Felix Hausdorff] in studying functions that were [|continuous] but not [|differentiable]; 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][|]] __Because they appear //similar// at all levels of magnification, fractals are often //considered// to be infinitely //complex//__ (in informal terms). Natural objects that are approximated by fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, snow flakes, various vegetables (cauliflower and broccoli), and animal coloration patterns. However, not all self-similar objects are fractals—for example, the [|real line] (a straight [|Euclidean] line) is formally self-similar but fails to have other fractal characteristics; for instance, it is regular enough to be described in Euclidean terms. Images of fractals can be created using [|fractal-generating software]. Images produced by such software are normally referred to as being fractals even if they do not have the above characteristics, such as when it is possible to zoom into a region of the fractal that does not exhibit any fractal properties. Also, these may include calculation or display [|artifacts] which are not characteristics of true fractals.
 * __It has a //fine// structure at arbitrarily //small// scales.__
 * __It is too //irregular// to be easily //described// in //traditional// [|Euclidean geometric] language.__
 * __It is //[|self-similar]// (at least approximately or [|stochastically]).__
 * __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].__

1. There is a definition of fractals there. Please identify it and identify its components. __A__ **__fractal__ (term to be defined)** is "a __//rough// or //fragmented// //geometric// shape__ **(definition)** that __can be split into parts, each of which is (at least approximately) a //reduced-size copy// of the whole__,**(part of the characteristics)**" a property called [|self-similarity].

2. There is a description there, please identify it and tell me how you found it. What helped you when locating it. A fractal often has the following features:
 * __It has a //fine// structure at arbitrarily //small// scales.__
 * __It is too //irregular// to be easily //described// in //traditional// [|Euclidean geometric] language.__
 * __It is //[|self-similar]// (at least approximately or [|stochastically]).__
 * __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].__

The note that says (a fractal often has the following features ) helped me to locate the description Good. What about the adjectives??


 * I **** V. Now write a description of any mathematical word or topic. **

A Right angle: is a ninety degrees angle. It can also be described as the meassure of an arc in a circunference of one unit of radius. It can be also meassured in radians being pi/2.

As soon as you have all these ready, please paste it in your wiki.

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