This symmetrization method has been applied in the examples shown in Fig. 1b, where the fitted atomic shape functions are given in Fig. 1c, d.
Democritus' account why honey sometimes tastes bitter to people who are ill depends on two factors, neither of which undercut the notion that certain atomic shapes regularly affect us in a given way.
We then use linear regression to solve for the complex atomic shape function for all species present.
After his account of atoms' motion, Lucretius turns to their properties, explaining how a vast but finite variety of atomic shapes underlies and accounts for the vast but finite phenomenal variety that the world has to offer, without the atoms themselves possessing either sensible properties such as colours or mental powers.
In order to account for tremendous variety among natural objects, Gassendi claims, there must be very many different types of atomic shapes (though not infinitely so), and many tokens of each type (again, not infinitely so).
The team then applied patchy areas, which acted like the atomic interactions shaping the structure of a protein.
Atomic shape deviations are generated by calculating, for each atom, the atom's deviation from the average molecular radius.
In our current implementation, four atomic properties were generated, which include the atomic partial charges, atomic lipophilicities, atomic shape deviations and atomic electrophilicities.
Differences in atomic shape and size determined the various properties of matter.
The resulting images appear to be approximately aberration free due to the radial symmetry imposed by constructing an exit wave from radially-symmetric point atomic shape functions, and can be used to estimate the aberration function (chi (q_x,q_y)).
