(Some Operations)
(Some Operations)
Line 5: Line 5:
 
== Some Operations ==
 
== Some Operations ==
 
* <math>j^2 = -1</math>
 
* <math>j^2 = -1</math>
* <math>|a+bi| =\sqrt(a^2+b^2)</math>
+
* <math>|a+bj| =\sqrt(a^2+b^2)</math>
 
* <math>|z| = |\overline z|</math> , where z is complex number
 
* <math>|z| = |\overline z|</math> , where z is complex number
* Euler Equation :  <math>exp^(aj)</math> = = cos a+isin a
+
* Euler Equation :  <math>\exp^(aj)</math> = = cos a+isin a

Revision as of 09:26, 1 September 2008

Definition

  • the complex numbers are combinations of both real parts and imaginary parts, denoted i.
  • These can be written a+bi, where a and b are real numbers.

Some Operations

  • $ j^2 = -1 $
  • $ |a+bj| =\sqrt(a^2+b^2) $
  • $ |z| = |\overline z| $ , where z is complex number
  • Euler Equation : $ \exp^(aj) $ = = cos a+isin a

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett