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

Could someone please help me to read the following line

  1. Aug 5, 2013 #1
    Could someone please help me to read the following line(in case of inner product)?


    94842b9bc828789f99f1ff660295844b.png
     
  2. jcsd
  3. Aug 5, 2013 #2

    jbunniii

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    The statement indicates that ##\langle \cdot, \cdot \rangle## is a map from ##V \times V## to ##F##. This means that to each ordered pair ##(u,v)## with ##u,v \in V##, it assigns an element ##\langle u,v \rangle## in ##F##.

    Presumably ##F## is a field, and ##V## is a vector space over ##F##.
     
  4. Aug 6, 2013 #3
    Yes, I understand now. Could you please explain what does "map" mean here?


    As I know map means the following-

    https://www.google.com.bd/search?bi...0..0.0....0...1c.1.24.serp..3.0.0.hrQDtAr7Tpw

    If it is same here then I would request you to explain again the following part-

    that ##\langle \cdot, \cdot \rangle## is a map from ##V \times V## to ##F##
     
  5. Aug 6, 2013 #4

    jbunniii

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    In mathematics, "map" and "function" mean the same thing.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Could someone please help me to read the following line
  1. Please help me. (Replies: 1)

  2. Please help me (Replies: 2)

Loading...