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== Definition== | == Definition== | ||
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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. | ||
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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>. | ||
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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. | ||
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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.
