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Hi all I was wondering if you could help me with this problem:

[PLAIN]http://img713.imageshack.us/img713/4306/giflatexl.gif [Broken]

Could someone explain this relationship in plain english for me please?

[PLAIN]http://img9.imageshack.us/img9/338/codecogseqno.gif [Broken]

This is what I was thinking, but I think it is wrong:

frogs(f) is a set of frogs where f is an element within the set F. Therefore frogs(toadie) is a set where toadie is an element of F. Therefore frogs(frogs(toadie)) means the set {toadie} is an element of F?

[PLAIN]http://img713.imageshack.us/img713/4306/giflatexl.gif [Broken]

Could someone explain this relationship in plain english for me please?

[PLAIN]http://img9.imageshack.us/img9/338/codecogseqno.gif [Broken]

This is what I was thinking, but I think it is wrong:

frogs(f) is a set of frogs where f is an element within the set F. Therefore frogs(toadie) is a set where toadie is an element of F. Therefore frogs(frogs(toadie)) means the set {toadie} is an element of F?

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