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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
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