Difference between revisions of "Imaginary number"

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An '''imaginary number''' in mathematics is any number that contains the imaginary unit, defined as, <math>i^{2} = -1</math>
 
An '''imaginary number''' in mathematics is any number that contains the imaginary unit, defined as, <math>i^{2} = -1</math>
  
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An imaginary number is of the form, <math>\theta i</math>, where <math>\theta</math> is a [[real number]].
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An imaginary number is of the form, <math>k i</math>, where ''k'' is a [[real number]].
  
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For example <math>\sqrt{-1}</math> has imaginary solution of
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For example <math>\sqrt{-1}</math> has imaginary representation of
  
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:<math>\sqrt{-1}=\pm i</math>.
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:<math>\sqrt{-1}= i</math>.
  
 
When a imaginary number is added to real number, they form a [[complex number]].
 
When a imaginary number is added to real number, they form a [[complex number]].

Revision as of 18:29, July 3, 2008

An imaginary number in mathematics is any number that contains the imaginary unit, defined as, <math>i^{2} = -1</math>

An imaginary number is of the form, <math>k i</math>, where k is a real number.

For example <math>\sqrt{-1}</math> has imaginary representation of

<math>\sqrt{-1}= i</math>.

When a imaginary number is added to real number, they form a complex number.

The analysis of imaginary numbers forms the basis for the field of mathematics known as complex analysis.