Complex number standard form

Writes a complex number as a real part plus an imaginary part, where i is the imaginary unit with i squared equal to minus one. It is the basic way to represent and manipulate complex numbers.

z = x + \mathrm{i} y

What the symbols mean

complex number
real part of z, a real number
imaginary part of z, a real number
imaginary unit, satisfying \mathrm{i}^2 = -1

About this formula

  • FieldMathematics
  • TopicComplex numbers
  • LevelHigh school
  • Also calledcomplex number form, a + bi, rectangular form of complex number, cartesian form complex number, real and imaginary parts, x + iy
  • SourceWikidata Q11567

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