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The first, comprising the contribution of all points outside a large sphere enclosing the box, and some of its neighbors, is approximated inside the box by a collection of kernel functions ("sources") placed on the surface of the sphere or using an expansion in terms of spectrally convergent local basis functions.
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Since every domain in can be approximated by smooth domains from inside, it is easy to see that for the domain can be used as an approximating domain.
Briefly, a quartz cuvette was filled with 3 mL of Tris buffer (0.1 M Tris, 0.1 M NaCl, pH 8.0; approximating conditions inside the nucleus) to which 4.4 μM ethidium bromide was added.
A realistic representation of the liquid dynamics inside closed containers can be approximated by an equivalent mechanical system.
CO2 concentrations at the chamber output and input (supplemented so that concentration inside the chamber approximated ambient CO2) were measured with an infrared gas analyzer.
To estimate the shear stress inside the microfluidic chamber we approximated the flow profile in the middle of the chambers by parallel-plate Poiseuille flow [23].
where u+and u- are smooth functions approximating the image I inside and outside the contour, respectively, which are obtained by solving the following two damped Poisson equations: u + − I = μ Δ u + i n x : ϕ x > 0, ∂ u + ∂ n = 0 o n x : ϕ x = 0 (5).
For the pixel p inside an object, π(p) can be approximated as the sum of distance to other pixels in the same object which is smaller.
The construction noises approximated Beijing levels.
Water vapor inside the chamber was not scrubbed such that relative humidity in the chamber approximated ambient conditions.
The output size is approximated.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com