Sentence examples for cube of side from inspiring English sources
(Earlier, Hippocrates of Chios showed that if a cube of side a is given and b and c are line segments such that a b = b c = c 2a, then a cube of side b has twice the volume, as required. Archytas's construction showed how, given a, to construct the segments b and c with the proper proportions).
The third of the achievements attributed to Hippocrates was the discovery that, given a cube of side a, a cube with double its volume can be constructed if two mean proportionals, x and y, can be determined such that a:x = x:y = y:2a.
In fact, if we use Lemma 9 and fit the two hemispheres into a cube of side length (l_{mathrm{max}}=2), we get (alpha= pi^{2}/2).
For example, [616, Problem 7.1.9] proves: For each (alpha in {mathbb {Z}}^nu ), let (Delta _alpha ) be the cube of side 3 centered at (alpha ) and (chi _alpha ) its characteristic function.
The computational domain is a cube of side 1 centered on the origin, and we use a grid spacing of (Delta x=0.01) and a timestep (Delta t=0.1~Delta x).
The two boundary cases are well known designs: an Hd(2n+1,2n+2) is a Room d-cube of side 2n+1 and the existence of d mutually orthogonal latin squares of order n+1 implies the existence of an Hd(n+1,2n+2).
Subsequently, MD simulations are carried out using Gromacs [17]; We immersed each modeled structure into a 3D water cube of 127 Å side length allowing for a minimum distance of 20 Å between protein and box-boundary [18] and applied periodic boundary conditions.
Remove the center cube of each side of the original cube of the construct.
The litre was defined as the volume equivalent to the volume of a cube, each side of which had a length of 1 decimetre, or 10 centimetres.
Stochastic discrete fracture network models are used for the upscaling of measured fault transmissivities, namely for the calculation of effective hydraulic conductivities (Keff) of model cubes with lengths of side of 50 500 m.
A 25.5 MBq (690 μCi) 22Na point source embedded in a clear Plexiglas cube of 1 cm side was used as the Cherenkov radiator; this choice was convenient for a first feasibility study since clear Plexiglas allows both the production (it has a refractive index n≃1.495) and the transmission of the Cherenkov radiation (90%% transmission in the visible range).
