Talk:Sum to 100: Difference between revisions
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:::: FWIW my experience as a reader is that using the word 'sum' at that point certainly proved confusing at first reading, and even now feels distractingly odd. 211 is certainly a '''number''' – a member of the set of integers – but the point you are making about it seems to be precisely that it is '''not''' a sum (the result of an addition) within this system. [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 02:38, 1 January 2017 (UTC) |
:::: FWIW my experience as a reader is that using the word 'sum' at that point certainly proved confusing at first reading, and even now feels distractingly odd. 211 is certainly a '''number''' – a member of the set of integers – but the point you are making about it seems to be precisely that it is '''not''' a sum (the result of an addition) within this system. [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 02:38, 1 January 2017 (UTC) |
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::::: I'm not saying that '''211''' isn't an integer or a number --- just that it (the sum of 211) can't be expressed mathematically in the context of the rules for this puzzle as stated in the task's preamble. '''211''' is a sum (in particular, the lowest sum) of the set of sums that can't be expressed within the rules. -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 02:56, 1 January 2017 (UTC) |
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:::: PS on the issue of an example; an existence proof would be fine – you could just give an example of a number like 5791, say that it can't be expressed by a sum that is restricted to these permutations of digits and signs, and ask for code that finds the lowest positive integer that shares this property. [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 02:46, 1 January 2017 (UTC) |
:::: PS on the issue of an example; an existence proof would be fine – you could just give an example of a number like 5791, say that it can't be expressed by a sum that is restricted to these permutations of digits and signs, and ask for code that finds the lowest positive integer that shares this property. [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 02:46, 1 January 2017 (UTC) |
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::::: That seems overly wordy just to ask for the lowest positive sum that can't be expressed (within the rules). In particular, the requirement was expressly worded to find ''that'' sum. However, I will add an example (i.e.: such as 5074). -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 02:56, 1 January 2017 (UTC) |
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