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Mosses blanket the flat distance in between.
We prove a similar result, replacing the tubular neighbourhood with one induced by the flat distance and we provide quantitative estimates.
A flat distance function embodies an extreme version of likeness nihilism — namely, that as a matter of brute necessity no world is more like the actual world than is any other.
Given a flat distance function on worlds, together with weighted averaging, the distance of proposition A from the truth is (1−(P(A)/P(T)) if A is true, and 1 if A is false.
Relying on the flat distance and on Sobolev norms, we establish several nonlinear stability estimates about the "distance" between a rotationally symmetric manifold and the Euclidean space, which are stated in terms of the ADM mass of the manifold.
Especially for shorter distances (because airlines charge a flat distance fee and FedEx/UPS charge by the mile), it may be cheaper than paying the initial bag fee plus onerous overweight charges ($200 round trip on United and American, $100 on JetBlue).
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Several notions of independent interest are introduced in the course of our analysis, including the notion of depth of a manifold and a scaled version of the flat-distance, the D-flat distance as we call it, which involves the diameter of the manifold.
Euclidean geographical distances (IBD) and flat resistance distances were highly correlated (r = 0.99, P < 0.0001) and they were not significantly associated with genetic differentiation, either when they were included alone in the model (Table 2; Fig. 4A) or together with any IBR matrix (all Ps > 0.2).
I remember seeing field after field of them, the December before last, stretched out into the endless, flat, misty distance of Veneto in northern Italy, strong and vigorous, encrusted in ice.
This matrix of flat resistance distances is expected to yield similar results than the matrix of Euclidean geographical distances, but the former has been suggested to be more appropriate for comparison with models of IBR generated with Circuitscape (Lee-Yaw et al. 2009; Munshi-South 2012; Jha and Kremen 2013).
Odds: $15.00 Irish visitor with a varied resume which includes wins over hurdles and on the flat from distances between 1400m and 4369m.
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