Re: [math-fun] L versus 2L
DanA> Interesting that "pace" means 2 steps.
It certainly also means just 1 step, in common parlance.
Just one of those little contradictions of language. Here is def. 3 for pace, according to < www.m-w.com >:
3 a : step 2a(1) b : any of various units of distance based on the length of a human step
and this is def. 2a(1) for step:
2 a (1) : an advance or movement made by raising the foot and bringing it down elsewhere
--Dan
The off-line (and far superior) MW gives 3 a : a movement of the foot over a space to a new position in walking, running, or dancing : STEP *took a pace or two in the room Guy McCrone* b (1) : the space traversed by one step used as an indefinite unit of measure *cannot go five paces without seeing some wretched object Irish Digest* (2) : any of various units of distance based on the length of a human step at a specified time (as for quick time 30 inches and for double time 36 inches) see ROMAN PACE roman pace: an ancient Roman unit of length that is equal to five Roman feet or 4.85 English feet and is measured in pacing from the heel of one foot to the heel of the same foot when it next touches the ground
From the MW etymology, apparently passuum is genitive. We were taught that "mile" came from millia passus, which gets lots of Google hits in Latin texts, but MW likes milia. --rwg ROMAN PACE CAMPANERO
This whole sequence of comments reminded me of a true incident from approx. 1969 when a group of MIT oarsmen were in a rowing shell & a huge ship wake was headed towards it. The coach yelled & told the oarsmen to steer the rowing shell until it was "parallel to the wave". Being engineers/scientists from MIT who had taken 8.01, this (of course!) meant "parallel to the wave vector", whereupon the wave broke over the shell, lifting up both ends, and broke the very expensive shell into two pieces. The coach, of course, meant "parallel to the wave crest" -- i.e., perpendicular to the wave vector.
participants (2)
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Henry Baker -
rwg@sdf.lonestar.org