Difference between revisions of "Unit square"

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A '''unit square''' is a square with side lengths equal to <math>1</math>. In a [[Cartesian coordinate system]], ''the'' unit square can be viewed as the square with vertices at <math>(0,0), (0,1), (1,0), (1,1)</math>; likewise, if the concept of the unit square is extended to the [[complex plane]], it can be defined as the square with vertices at <math>0</math>, <math>1</math>, <math>i</math>, and <math>1 + i</math>, where <math>i</math> is the [[imaginary unit]].
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A '''unit square''' is a [[square (geometry) | square]] with side length equal to <math>1</math>. In a [[Cartesian coordinate system]], ''the'' unit square can be viewed as the square with [[vertex | vertices]] at <math>(0,0), (0,1), (1,0), (1,1)</math>; likewise, if the concept of the unit square is extended to the [[complex plane]], it can be defined as the square with vertices at <math>0</math>, <math>1</math>, <math>i</math>, and <math>1 + i</math>, where <math>i</math> is the [[imaginary unit]].
  
 
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Latest revision as of 10:05, 19 June 2008

A unit square is a square with side length equal to $1$. In a Cartesian coordinate system, the unit square can be viewed as the square with vertices at $(0,0), (0,1), (1,0), (1,1)$; likewise, if the concept of the unit square is extended to the complex plane, it can be defined as the square with vertices at $0$, $1$, $i$, and $1 + i$, where $i$ is the imaginary unit.

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