1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Transformation of a region

  1. May 19, 2008 #1
    Hello. I am trying to work out what the region

    [tex]\{0\leq\tau\leq t,0\leq t<\infty\}[/tex] Is under the transformation:


    I know its just
    [tex]\{0\leq u<\infty,0\leq v<\infty\}[/tex]
    But i am having difficulty showing this.
  2. jcsd
  3. May 22, 2008 #2
  4. May 22, 2008 #3


    User Avatar
    Homework Helper

    [tex]0 \leq v \leq u+v < \infty[/tex] after substituting u, v for tau and t and combining the inequalities.

    Subtracting v from from the above inequalities give: [tex]0 \leq u < \infty[/tex]
    From the first inequality you should be able to see that [tex]0\leq v<\infty[/tex] holds.
    Last edited: May 22, 2008
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook