Difference between revisions of "12-240/Classnotes for Thursday September 20"

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(Complex number)
(Complex number)
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== Complex number ==
 
== Complex number ==
  
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'''Definition and properties'''
  
 
''' C'''={(a,b): a, b <math>\in\!\,</math> '''R'''}
 
''' C'''={(a,b): a, b <math>\in\!\,</math> '''R'''}
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'''C''' contains '''R''' as {(a,0)}  ( actually, this is not the set of real number but a copy of it )
 
'''C''' contains '''R''' as {(a,0)}  ( actually, this is not the set of real number but a copy of it )
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'''Political statement'''
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== Scan of class note ==
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[[Image:IMG.jpg]]
 
[[Image:IMG.jpg]]
 
[[Image:IMG2.jpg]]
 
[[Image:IMG2.jpg]]
 
[[Image:IMG3.jpg]]
 
[[Image:IMG3.jpg]]

Revision as of 11:34, 21 September 2012

In this class, the professor completes the lecture about complex number and then introduces vector space.


Complex number

Definition and properties

C={(a,b): a, b \in\!\, R}

1 ( of C) = (1,0); 0 ( of C)= (0,0)

i=(0,1)

(a,b)+(c,d)=(a+c,b+d); (a,b)x(c,d)=(ac-bd,ad+bc)

i^2=-1

C contains R as {(a,0)} ( actually, this is not the set of real number but a copy of it )

Political statement


Scan of class note

File:IMG.jpg File:IMG2.jpg File:IMG3.jpg