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In the non-crossing conditions, the cups were moved following a straight line while in the crossing conditions cups were moved following a curve such that one container could pass by the other.
If confirmed, this system could considerably improve crossing conditions in bigger tunnels and on bridges such as agricultural under- or overpasses, which have been unsuitable for small animals until now.
Consistent with the idea that this is significant, experimental evolution under crossing conditions has been shown to lead to increased sperm size (LaMunyon and Ward, 2002).
When only looking at the crossing conditions, dogs performed significantly better when both containers were moved to a new location compared to when the containers both substituted each other.
The results therefore shows that dogs performed above chance in the No cross-both new condition and also performed significantly better in this condition compared to the other three crossing conditions.
Within each session conditions were counterbalanced for the start location of the reward and the crossing of the containers (i.e., the reward could either start at location 2 or 4 and in the crossing conditions the container with the reward could cross either in 'front' or 'behind' the other container).
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They proposed a restriction called single crossing condition (SCC) for these games.
One now needs to argue that the valuation functions must satisfy the single crossing condition.
The boundary, or interface, ∂ B ( t ) is defined by the threshold crossing condition u ( x, t ) = h.
If the single crossing condition does not hold, then there may be no mechanism that allocates the object efficiently.
The crossing condition is equivalent to A i = 0 by definition, for which we computed the four roots for the pairs of (m, A r ): left{begin{array}{l}left 0.341,61.7right) left(1.44,0.0167right) left(2.70,54.5right) left(4.26,0.0229right)end{array}right.. (8.1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com