A(r n ) thus represents the measured radial activity profile across the considered sphere averaged over all directions.
Therefore, to address the shape effect on the materials properties of these metals at the nanoscale [7, 8], the following shapes have been considered: sphere, tetrahedron, cube, octahedron, decahedron, dodecahedron, truncated octahedron, cuboctahedron, and icosahedron.
This is partially because not all of gas-atomized powders and none of water-atomised powders can be considered spheres and an accurate and economic modeling approach in describing non-spherical powder dispersion behavior can rarely be seen.
This paper presents the results of a study comparing BLCs developed by NASA and the DoD for velocities up to 4 km/s considering spheres, cubes, and a "flake" shape that was proposed within NASA's Standard Breakup Model to represent orbital debris.
Instead of searching for clusters in consecutive stretches of the amino-acid sequence, we would have to consider spheres with varying radii centered around the mutations in the protein.
These dimensions showed complex inter-relationships and were situated within a social ecology framework, considering spheres of influence from the individual through to group, neighbourhood and broader societal levels.
Additionally, although the ecological model of social vulnerability considers spheres of influence at group (family, peer) and community (institutions, neighbourhoods, and society) levels, all measures were based on individual-level data.
The plan to build a high-tech radar facility in the Czech Republic and deploy 10 interceptor missiles in Poland — a part of the world that Russia once considered its sphere of influence — was a top priority for President George W. Bush to deter Iran in case it developed a nuclear warhead to fit atop its long-range missiles.
And Venezuela is not far away in the Middle East, but in our hemisphere, in what has traditionally been considered our "sphere of influence" (read: with a government and an oligarchy that puts the interests of the United States and the U.S. corporations before that of their people).
Fluid molecules were considered hard spheres interacting with each other and with the pore wall through square-well potentials.
A nonlinear dependence of S on N can occur even in a single sphere if N varies around Nm. To examine electric properties of a single charged nanoparticle, let us consider a sphere in thermal equilibrium with a reservoir of electrons, so the electrochemical potential μ=μ0+e ϕ is constant inside the sphere; here μ0 is the chemical potential of the neutral sphere and ϕ is the electric potential.
