On 9/19/2012 11:07 AM, Alister wrote:

Summation is a mathematical function that works on numbers
Concatenation is the process of appending 1 string to another

although they are not related to each other they do share the same
operator(+) which is the cause of confusion.

If one represents counts in unary, as a sequence or tally of 1s (or other markers indicating 'successor' or 'increment'), then count addition is sequence concatenation. I think Guido got it right.

It happens that when the members of all sequences are identical, there is a much more compact exponential place value notation that enables more efficient addition and other operations. When not, other tricks are needed to avoid so much copying that an inherently O(N) operation balloons into an O(N*N) operation.

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Terry Jan Reedy

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