For the following open sets(adsbygoogle = window.adsbygoogle || []).push({});

a) |Arg z| <pi/4

b) -1 < Im z <= 1

c) (Re z)^2 > 1

Sketch the sets

Which are domains

Describe the boundary

a) |Arg z |< pi/4

well ok that means

[tex] |\theta_{0} + 2 \pi k| < \pi/4 [/tex]

so the theta must alwasy be less than pi/4

im not sure how to sketch this... i mthinking its the attached diagram, but only the triangle in the first quadrant

yes it is a domain

umm is there a way to do with without diagram??

b) -1 < Im z <= 1

shaded part of 2

yes it is a domain

the region bounded by y = -1 from the bottom and unbounded above

c) (Re z)^2 > 1

like 3?

not a domain

unbounded

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fun with sets

**Physics Forums | Science Articles, Homework Help, Discussion**