Changes

Jump to navigation Jump to search

Complex analysis (view source)

Revision as of 15:45, December 29, 2006

174 bytes added ,  15:45, December 29, 2006
no edit summary
Line 3: Line 3:  
: <math>i = \sqrt{-1}</math>
 
: <math>i = \sqrt{-1}</math>
   −
From this definition a "complex plane" is constructed, consisting of z = x + iy, where x and y are real numbers.
+
From this definition a "complex plane" is constructed, consisting of z = x + iy, where x and y are real numbers:
 +
 
 +
: <math>z = x + iy\,</math>, and
 +
: <math>w = f(z) = u(z) + iv(z)\,</math>
 +
: where <math>x,y \in \mathbb{R}\,</math> and <math>u(z), v(z)\,</math> are real-valued functions.
    
so that real numbers are on the x-axis and imaginary numbers are on the y-axis.
 
so that real numbers are on the x-axis and imaginary numbers are on the y-axis.
Aschlafly
Anthony, Irenaeus, Siteadmin, apieditor, Bureaucrats, Check users, nsAm_Govt_101RO, nsAm_Govt_101RW, nsAm_Govt_101_ta, nsJudgesRO, nsJudgesRW, nsJudges_talkRO, nsJudges_talkRW, nsTeam2RO, nsTeam2RW, nsTeam2_talkRO, nsTeam2_talkRW, oversight, Administrators
126,194

edits

Retrieved from "https://www.conservapedia.com/Special:MobileDiff/7603"

Navigation menu