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Periodic boundary condition along the whole banana orbit is introduced to treat the trapped particles, in contrast to the usual reflection symmetry conditions at the banana tips.
The proposed method produces a class of estimators for f(0) which are as simple and interpretable as the usual reflection kernel estimator, while holding theoretical and practical advantages.
Estimation of the parameter f(0) (the probability density function at the left boundary x= 0) is the key problem in line transect sampling to estimate the population abundance, D. The usual reflection kernel method is specially designed to estimate f(0) under the assumption that f(1)(0)="0, the first derivative of the probability density function at x="0 is zero.
Once in our seats, I launched, on cue, into my usual reflection about how fortunate we are to live in a place where people spend their money and time on cultural events, marveling at the full house of eager theater-goers.
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We present the design and study of waveguide structures based on porous silicon where the light confinement is not due to the usual total reflection effect but to the use of photonic crystals (PCs) as confining walls.
The areas of interest of the attendees were widely distributed as usual, a reflection of the large array of so-called 'critical illnesses'.
We consider the problem of determining a potential V x) in the one-dimensional Schrödinger equation, given as data the reflectivity r(k) = |R k)|2, where R(k) denotes the usual quantum mechanical reflection coefficient.
The Dutch fans have travelled in far smaller numbers than usual - a reflection of their pre-competition hopes - but there were still pockets of orange mixed in with the red of Spain, yellow of Brazil and the colours of various other teams, fitting in this melting pot of a city.
An exhibition of pictures from the book is now in its final week at the Taschen Gallery in Los Angeles, and news that David Bowie is preparing to release a new album, "Blackstar," early next year has inspired the usual anticipation and reflection among fans.
There's a new year approaching, bringing with it all the usual questions and reflections.
Although they did not keep a diary as is usual in participant observation, their reflections and observations were noted in monthly reports and topic reports which have been used in this analysis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com