Imaginary Numbers

Discussion in 'Computer Science & Culture' started by esp, Jan 26, 2002.

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  1. esp

    esp Registered Senior Member

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    I learned this a long time ago in college, but can't remember the specifics.

    Can any of you assist my ailing memory and tell me what i or j terms are the applicable rules?

    Examples would be useful.

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    esp, Jan 26, 2002
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  3. James R

    James R Just this guy, you know? Staff Member

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    A <b>complex</b> number is any number of the form:

    x + iy

    where i is the square root of negative one.

    Here are some examples of arithmetic with complex numbers:

    (-1 + 3i) + (7 - 2i) = 6 + i

    (-1 + 3i) - (7 - 2i) = -8 + 5i

    (-1 + 3i) &times; (7 - 2i)
    = (-1 &times 7) + (-1 &times; -2i) + (3i &times; 7) + (3i &times; -2i)
    = -7 + 2i + 21i -6i<sup>2</sup>
    = -7 + 23i + 6
    = -1 + 23i

    Note that i<sup>2</sup> = -1, since i is the square root of -1.
     
    James R, Jan 27, 2002
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  5. Rick

    Rick ॐ Valued Senior Member

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    Nothing to offend but is this Computer science forum?

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    anyways lets get back to what you asked.

    as James has explained evry point,except one.

    J.j is also the same.except for the fact that it is used in electrical engineering subjects for i,since <b>i</b> is current.anyway j is the same sqrt(-1) and it rotates the phase by 90 degree.


    bye!
     
    Rick, Jan 27, 2002
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