Could someone me to read the following line

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Could someone please help me to read the following line(in case of inner product)?
94842b9bc828789f99f1ff660295844b.png
 
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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##.
 
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jbunniii said:
The statement indicates that ##\langle \cdot, \cdot \rangle## is a map from ##V \times V## to ##F##.
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##
 
EnglsihLearner said:
Yes, I understand now. Could you please explain what does "map" mean here?
In mathematics, "map" and "function" mean the same thing.
 

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