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GeezerVison is showing mathworld.wolfram.com — Complex Addition -- from Wolfram MathWorld

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Complex Addition

Two complex numbers z=x+iy and z^'=x^'+iy^' are added together componentwise,

z+z^'=(x+x^')+i(y+y^').

In component form,

(x,y)+(x^',y^')=(x+x^',y+y^')

(Krantz 1999, p. 1).

See also

Complex Division, Complex Multiplication, Complex Number, Complex Subtraction, Vector Addition

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More things to try:

  • complex numbers
  • (1 - 1/3 + 1/5) / (1/2 - 1/4 + 1/6)
  • curl [-y/(x^2+y^2), -x/(x^2+y^2), z]

References

Krantz, S. G. Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 1, 1999.

Referenced on Wolfram|Alpha

Complex Addition

Cite this as:

Weisstein, Eric W. "Complex Addition." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ComplexAddition.html

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