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Help with ordinal sums

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Help please!

 

Two associative functions on the the unit square:

[0,1]^2 -->[0,1]

x,y --> T(x,y) and S(x,y)

What is the ordinal sum of these two functions on [0,1]^2 ? I know it is not T(x,y)+S(x,y)

Does ordinal some have something to do with ordinal numbers?

 

Thanks

  • 2 weeks later...

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