Complex conjugate

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Revision as of 18:27, 10 July 2015 by Alec (Talk | contribs) (Created page with "==Definition== Given a complex number, {{M|z\in\mathbb{C} }} where {{M|1=z=a+bj}} and {{M|j}} denotes {{M|\sqrt{-1} }} the ''complex conjugate'' of {{M|z}}, denoted: * {{M|z^*...")

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Definition

Given a complex number, [ilmath]z\in\mathbb{C} [/ilmath] where [ilmath]z=a+bj[/ilmath] and [ilmath]j[/ilmath] denotes [ilmath]\sqrt{-1} [/ilmath] the complex conjugate of [ilmath]z[/ilmath], denoted:

  • [ilmath]z^*[/ilmath] (how I was taught at A-level)
  • [ilmath]\bar{z} [/ilmath] (what I prefer)

is defined as: [ilmath]z^*=\bar{z}:=a-bj[/ilmath]



TODO: Stub page