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Famous judge spikes Apple-Google case (GigaOm)Famous judge spikes Apple-Google case (GigaOm)Posted Jun 8, 2012 23:39 UTC (Fri) by dskoll (subscriber, #1630)In reply to: Famous judge spikes Apple-Google case (GigaOm) by marduk Parent article: Famous judge spikes Apple-Google case (GigaOm)
A line cannot be zero-length. By definition, a line is infinitely long. A line segment has length. But according to the PlanetMath definition someone else posted, it can't have zero length.
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Famous judge spikes Apple-Google case (GigaOm) Posted Jun 9, 2012 8:20 UTC (Sat) by dgm (subscriber, #49227) [Link]
Because then we call it a point. Duh.
Famous judge spikes Apple-Google case (GigaOm) Posted Jun 10, 2012 6:57 UTC (Sun) by jd (guest, #26381) [Link]
So long as the Hausdorff dimension is strictly between 0 and 1, it is possible for a line to have a size that varies according to the ruler used to measure it, such that some rulers will produce zero size and others will produce non-zero size.
Famous judge spikes Apple-Google case (GigaOm) Posted Jun 10, 2012 17:48 UTC (Sun) by apoelstra (subscriber, #75205) [Link]
I'm pretty sure that dskoll's lines have Hausdorff dimension 1. ;)
But in all seriousness, even professional mathematicians use the words "line" and "line segment" interchangeably, since (a) in most contexts there is no ambiguity, and (b) if there is ambiguity, much more would need to be specified -- the space under consideration, whether the segments had open or closed endpoints, etc.
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