[r6rs-discuss] Comparison procedures' number of arguments
Marcin 'Qrczak' Kowalczyk
qrczak at knm.org.pl
Thu Oct 23 03:37:14 EDT 2008
2008/10/23 Elf <elf at ephemeral.net>:
> the definition of monotonic increase and
> decrease relies on pairwise comparison; a sequence with one element is neither
> increasing nor decreasing.
No, it is both increasing and decreasing. A sequence is increasing if,
for every i, j from the range of its indices such that i<j, a[i]<a[j].
This is true for any sequence of length 0 or 1. This condition is
equivalent to: there exist no numbers i, j from the range of its
indices such that i<j and a[i]>=a[j]. This is obviously true.
--
Marcin Kowalczyk
qrczak at knm.org.pl
http://qrnik.knm.org.pl/~qrczak/
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