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Grade: 10


complex number

complex number

8 years ago

Answers : (2)

Vijay Luxmi Askiitiansexpert
357 Points

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Vijay Luxmi

10 years ago
ruchi yadav
askIITians Faculty
27 Points

The complex numbers are thefieldCof numbersof the formx+iy, wherexandyarereal numbersandiis theimaginary unitequal to thesquare rootof-1,sqrt(-1). When a single letterz=x+iyis used to denote a complex number, it is sometimes called an "affix." In component notation,z=x+iycan be written(x,y). Thefieldof complex numbers includes thefieldofreal numbersas asubfield.

The set of complex numbers is implemented inMathematicaasComplexes. A numberxcan 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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Askiitians Faculty
6 years ago
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