(Defination)
(Definition)
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== Definition==
 
== Definition==
 
<pre>
 
<pre>
     Imaginary number comes to use when people want to refer to a number which could not be represented by any real number,
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     Complex number is the combination of real number and imaginary number. It's basic form is a+bi,
such as the square root of a negative number. When we combine a real number and an imaginary number together, we get a  
+
Where a is the real part and bi is the imaginary part.  
complex number.
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     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>.
</pre>   
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    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.
     We use i to represent <math>sqrt(-1)</math>.
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    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.

Revision as of 17:20, 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 <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 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

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

Dr. Paul Garrett