Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Vector space

  1. Dec 5, 2007 #1
    1. The problem statement, all variables and given/known data
    Do functions that vanish at the end points x=0 and x=L form a vector space ? How about periodic functions obeying f(L)=f(0)? How about functions that obey f(0)=4 ?
    If the functions do not qualify , list the things that go wrong .

    2. Relevant equations
    All axioms defining the vector space .

    3. The attempt at a solution
    I tried to sketch some functions collapsed on point x=L and x=0 and superposed them . But , I don't know how to make a pointwise addition of 2 functions which I don't know the explicit forms .
    I guess functions mentioned on the problem are violating the closure feature of a vector space.

    I got really confused :confused::frown:
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted