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]]. | 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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Revision as of 01:15, 19 June 2008
A unit square is a square with side lengths equal to . In a Cartesian coordinate system, the unit square can be viewed as the square with vertices at ; likewise, if the concept of the unit square is extended to the complex plane, it can be defined as the square with vertices at , , , and , where is the imaginary unit.
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