Sentence examples for spheres given from inspiring English sources

Later, with R.J. DiPerna, Lions rigorously demonstrated the existence of solutions to Boltzmann's equation for the density of colliding hard spheres, given general initial data.

As the resin spheres and glass spheres are similar in size, the clustering tendency should be the same for 120 Gy regions with glass spheres and 2.4 Gy regions with resin spheres (the same concentration of spheres given a 50-times higher specific activity for glass spheres).

This ratio is given by 20 2wheRe R is the reduced radius of the spheres give by 3 E * is the combined elastic modulus of the spheres given by 4 w is the work of adhesion (experimentally determined to 39 mJ m−2 for PDMS-glass adhesion), and z0 is the equilibrium separation (taken to be 0.2 nm, which is the van der Waals radius of Si 26).

The top (projection of lighting) and bottom (mirror) spheres give an idea of the incident illumination.

The polymer/silica hollow spheres gave the corresponding derivative hollow spheres with varied composition including SiO2/carbon, carbon and β-SiC, with the eccentric double-shelled morphology retained.

The magnetic resonance mode in smaller spheres gives rise to the magnetic dipole momentum and the electric resonance mode in bigger spheres is responsible for the electric dipole momentum.

For single phase liquid flow the mass transfer enhancement ratio increases in the order: Raschig rings > cylinders > spheres, while in the case of two phase flow, spheres gave the highest enhancement ratio.

Single component equilibrium isotherms of the adsorbent spheres give estimated CO2/N2 and H2O/CO2 selectivities of 24 and 7 at 323 K for the actual gas composition (around 9 kPa H2O, 28 kPa CO2, rest N2, ptot=200 kPa).

Astronauts then attached the phones to the Spheres, giving them more visual and sensing capabilities.

Removing all of the blue spheres gives the player a Chaos Emerald; if Sonic (not Tails) collects all seven, he can become Super Sonic at will, which makes him invincible to most obstacles.

At this stage, the spheres gave rise to circular clusters of cells, many of which migrated from the clusters to the surrounding areas.