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 function

  1. Aug 19, 2011 #1
    consider we have function

    f= f ( x , y )

    that x and y are our coordinate system.
    we know that x and y how transform to new coordinate system for example
    x' and y'

    here arises a question and that
    how function f transform to new coordinate system?
     
  2. jcsd
  3. Aug 19, 2011 #2

    mathman

    User Avatar
    Science Advisor
    Gold Member

    g(x',y') = f(x(x',y'),y(x',y'))

    Based on your description, this is all that one can say.
     
  4. Aug 21, 2011 #3
    can we say that the form of function can not change?

    and for transform a function, its enough that we transform coordinates?

    for example
    consider have this function
    exp( i kx - wt)

    and we want to transform this under Galilean transformation can we put x and t exchange by x' and t', without form of function change?
     
  5. Aug 21, 2011 #4

    mathman

    User Avatar
    Science Advisor
    Gold Member

    For the specific case you described, the form doesn't change. The transformation is linear, but there could be situations where that is not enough.
     
  6. Aug 22, 2011 #5
    it means you say for all transformation, it enough we transform x and y to x' and y' for example

    without think to form of function

    some people say it isn't enough beside this, we should know the form of function how will change.

    it is true?
     
  7. Aug 22, 2011 #6

    mathman

    User Avatar
    Science Advisor
    Gold Member

    Look at x2ey

    It is not clear to me what you are trying to ask.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Transformation of a function
Loading...