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We prove that the spherical partial sums of the Fourier series of the indicator function of a ball inside the cube of width 2π converge at the center of the ball if and only if the dimension is strictly less than three.
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The cubic law assumes that the average flow rate of a fracture is proportional to the cube of aperture width, which can be derived from the Navier-Stokes dynamic equation and is formulated as shown in Equations 2 and 3, based on the following three assumptions: Q ΔH = C · b 3 (2) C = g 12 v · w l (3) 1) The flow is constant and of the Hagen-Poiseuille type.
It is also found that there exists a range in which transmissivity is not proportional to the cube of mechanical aperture width, which seems to be because of the occurrence of channeling phenomenon at small mechanical aperture widths.
In terms of an evaluation technique for permeability characteristics, research has been conducted in order to confirm that the permeability through the fracture increases in proportion to the cube of the mechanical aperture width, namely the cubic law flow model (e.g., Brown 1987; Oron and Berkowitz 1998; Brush and Thomson 2003; Konzuk and Kueper 2004; Qian et al. 2011a).
Computational domain is a rectangular cube with 86 mm of length, 46 mm of width, and 31 mm of height.
These cubes are the width of an average human hair (about 4.5 microns per side, technically speaking).
Recursive cube of rings (RCR) networks [Y.
In the first step, nodes of cube, of cube, of cube, and of cube are elected as leading nodes of the corresponding cubes.
Roll a cube of white icing out.
A stock cube of your favourite flavour.
The movie consists of a sequence of 30 × 30 × 96 cubes (width × height × bands).
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CEO of Professional Science Editing for Scientists @ prosciediting.com