What does Re mean?

  • Thread starter kramer733
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  • #1
kramer733
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Homework Statement


http://people.math.carleton.ca/~mezo/A6math1102-11.pdf
number 2a)


Homework Equations





The Attempt at a Solution



I just need help knowing what Re means. I've never seen it before and the prof didn't mention it.
 

Answers and Replies

  • #2
kylem
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"real part of", it is defined in question 2a:

where Re(a + bi) = a for a; b 2 R
 
  • #3
kramer733
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Thanks. But now I'm confused at the problem.I'm not sure how to confirm the real parts.
 
Last edited:
  • #4
Deveno
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<v,w> is going to be some complex number. take its real part.

for example:

<(2+3i,4-5i),(3,1-i)> = (2+3i)(3) + (4-5i)(1+i) = 6+9i + (4-(-5) + (4 - 5)i)

= 6+9i + 9-i = 15+8i, and the real part of this is 15.
 
  • #5
Ray Vickson
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<v,w> is going to be some complex number. take its real part.

for example:

<(2+3i,4-5i),(3,1-i)> = (2+3i)(3) + (4-5i)(1+i) = 6+9i + (4-(-5) + (4 - 5)i)

= 6+9i + 9-i = 15+8i, and the real part of this is 15.

You can also get the real part of a complex quantity z: [tex] \mbox{Re}(z) = \frac{1}{2}(z + \bar{z}), [/tex] where [itex] \bar{z} [/itex] is the complex conjugate of z.

RGV
 

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