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Formula:260

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Digital Library of Mathematical Functions ID 1.9.E16

z 1 z 2 = z 1 ⁢ z ¯ 2 | z 2 | 2 = x 1 ⁢ x 2 + y 1 ⁢ y 2 + i ⁢ ( x 2 ⁢ y 1 - x 1 ⁢ y 2 ) x 2 2 + y 2 2 , subscript 𝑧 1 subscript 𝑧 2 subscript 𝑧 1 subscript 𝑧 2 superscript subscript 𝑧 2 2 subscript 𝑥 1 subscript 𝑥 2 subscript 𝑦 1 subscript 𝑦 2 𝑖 subscript 𝑥 2 subscript 𝑦 1 subscript 𝑥 1 subscript 𝑦 2 superscript subscript 𝑥 2 2 superscript subscript 𝑦 2 2 {\displaystyle{\displaystyle\frac{z_{1}}{z_{2}}=\frac{z_{1}\overline{z}_{2}}{|% z_{2}|^{2}}=\frac{x_{1}x_{2}+y_{1}y_{2}+i(x_{2}y_{1}-x_{1}y_{2})}{x_{2}^{2}+y_% {2}^{2}},}}


Constraint(s)

Symbols List

  • z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}} : complex conjugate
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • z 𝑧 {\displaystyle{\displaystyle z}} : variable
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This page was last edited on 28 January 2024, at 10:30.
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