12-240/Classnotes for Thursday September 20: Difference between revisions
From Drorbn
Jump to navigationJump to search
| Line 4: | Line 4: | ||
== Complex number == |
== Complex number == |
||
'''Definition and properties''' |
|||
''' C'''={(a,b): a, b <math>\in\!\,</math> '''R'''} |
''' C'''={(a,b): a, b <math>\in\!\,</math> '''R'''} |
||
| Line 16: | Line 17: | ||
'''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 ) |
||
'''Political statement''' |
|||
== Scan of class note == |
|||
[[Image:IMG.jpg]] |
[[Image:IMG.jpg]] |
||
Revision as of 12:34, 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 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
