complex number

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The complex numbers are thefieldof numbersof the form, whereandarereal numbersandiis theimaginary unitequal to thesquare rootof,. When a single letteris used to denote a complex number, it is sometimes called an "affix." In component notation,can be written. Thefieldof complex numbers includes thefieldofreal numbersas asubfield.

The set of complex numbers is implemented inMathematicaasComplexes. A numbercan then be tested to see if it is complex using the commandElement[x,Complexes], and expressions that are complex numbers have theHeadofComplex.

Complex numbers are useful abstract quantities that can be used in calculations and result in physically meaningful solutions. However, recognition of this fact is one that took a long time for mathematicians to accept.

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Ruchi
Askiitians Faculty