One example of a regularity property is the Lebesgue measurability: a set of reals is Lebesgue measurable if it differs from a Borel set by a null set, namely, a set that can be covered by sets of basic open intervals of arbitrarily-small total length.
We report the results of an extensive simulation study that show that our algorithm generates backbone networks that can withstand single link failures, have shorter average diameters and smaller total lengths and achieve a higher percentage of admitted calls under a mobile environment.
As the traversal of the search tree progresses, the region of the tree that is under search shrinks, so quartets will correspond to smaller total lengths, meaning that the fraction of the total edge length of the quartet that is falling on the middle edge will increase; this suggests that quartet errors may be rarer at lower levels of the search tree, as we discuss in the next section.
It is also found that further improvement in separation is obtainable if a triple-column device is employed, except for operating under small total column length and low flow rate.
This lead to 1 big (length 1,857,341) and 3 small scaffolds (total length 8940).
In October 2007, 10 small (mean total length 50.5 cm, range 46.6-53.6 cm) and 10 large (mean total length 60.1 cm, range 55.7-70.2 cmalesles as well as three females (50.8, 55.3 and 57.9 cm) were randomly selected from a common brood stock for the experiment.
Large consort males transfer smaller (average total length = 73 μm) sperm to a female's internal sperm storage location, inside the oviduct; whereas small sneaker males transfer larger (99 μm) sperm to an external location around the seminal receptacle near the mouth.
Dilong was comparatively small, with a total length of 1.6 metres (about 5 feet) and an estimated mass of 5 kg (about 11 pounds).
The only species significantly affected by ground gear was small (5.0 8.5 cm total length) forktail catfish, Arius graeffei, with the 6-mm catching up to 45% fewer than the 10-mm and soft-brush ground gears; a result attributed to the latter treatments having greater surface areas.
However, here we refine this hypothesis by noting that another prerequisite for a pelagic lifestyle is a substantial increase in body size from the generally small (<1 m total length) basal pistosauroids to the larger Pistosauria (> 2 m total length).
Since the generalized length of the set is surely smaller than the total length of the intervals, it only remains to choose the intervals that make the total length as small as possible.
