What does Re mean?

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

where Re(a + bi) = a for a; b 2 R
 
  • #3
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Thanks. But now i'm confused at the problem.I'm not sure how to confirm the real parts.
 
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  • #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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