(Definition)
(Definition)
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== Definition==
 
== Definition==
 
 
     Complex number is the combination of real number and imaginary number. It's basic form is a+bi,
 
     Complex number is the combination of real number and imaginary number. It's basic form is a+bi,
 
Where a is the real part and bi is the imaginary part.  
 
Where a is the real part and bi is the imaginary part.  
 
 
     i is the unit for imaginary number. In a complex coordinate, a+bi is point(a,b). The distance
 
     i is the unit for imaginary number. In a complex coordinate, a+bi is point(a,b). The distance
 
between this point and the origin is <math>sqt(a^2+b^2)</math>.
 
between this point and the origin is <math>sqt(a^2+b^2)</math>.
 
 
     In the form a+bi, when b=0, the complex number belongs to real number; when a=0, the complex  
 
     In the form a+bi, when b=0, the complex number belongs to real number; when a=0, the complex  
 
number belongs to imaginary number; when they both are not zero, it belongs to complex region.
 
number belongs to imaginary number; when they both are not zero, it belongs to complex region.
 
 
     The triangular form of a complex number is Z=r(cosx + isinx). r is the distance between point  
 
     The triangular form of a complex number is Z=r(cosx + isinx). r is the distance between point  
 
Z and the origin on a complex coordiante. rcosx is real part and irsinx is the imaginary part.
 
Z and the origin on a complex coordiante. rcosx is real part and irsinx is the imaginary part.

Revision as of 16:22, 2 September 2008

Review of Complex Number

Definition

   Complex number is the combination of real number and imaginary number. It's basic form is a+bi,

Where a is the real part and bi is the imaginary part.

   i is the unit for imaginary number. In a complex coordinate, a+bi is point(a,b). The distance

between this point and the origin is $ sqt(a^2+b^2) $.

   In the form a+bi, when b=0, the complex number belongs to real number; when a=0, the complex 

number belongs to imaginary number; when they both are not zero, it belongs to complex region.

   The triangular form of a complex number is Z=r(cosx + isinx). r is the distance between point 

Z and the origin on a complex coordiante. rcosx is real part and irsinx is the imaginary part.

Alumni Liaison

has a message for current ECE438 students.

Sean Hu, ECE PhD 2009