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> | ||
| − | An imaginary number is of the form, <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 | + | For example <math>\sqrt{-1}</math> has imaginary representation of |
| − | :<math>\sqrt{-1}= | + | :<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.