Independent particles are words in their own right and do not attach to the previous word.

The subject pronouns are unique in that they can also be expressed by an independent particle.

With numerical studies, one sees that anomalous files of independent particles form clusters.

Independent particles are fully independent words.

Diquarks shouldn't exist as independent particles, as far as we know.

Future Imperative is another special form that is transmitted through usage of independent particle iu.

A system of N independent particles, therefore, has the total of 3N degrees of freedom.

Some independent particles may be said to convey evidentiality: one such word is the particle eken.

Anton Webern defines a motif as, "the smallest independent particle in a musical idea," which are recognizable through their repetition.

For a system of N statistically independent particles, H is related to the thermodynamic entropy S through:

The particle class includes two subclasses of morphemes which behave quite differently: conjunctive particles and independent particles.

Independent particle models in nuclear physics require the undisturbed orbiting of nucleons within the nucleus before they interact with other nucleons.

In anomalous files of independent particles, the MSD is very slow and scales like, .

The equation of motion for the PDF in anomalous files of independent particles reads:

In languages without inflectional noun classes, nouns may still be extensively categorized by independent particles called noun classifiers.

Qualitatively, these spontaneous symmetry breakings can be explained in the following way : in the mean field theory, the nucleus is described as a set of independent particles.

In a BEC, matter stops behaving as independent particles, and collapses into a single quantum state that can be described with a single, uniform wavefunction.

The main idea of the Independent Particle approach is that a nucleon moves inside a certain potential well (which keeps it bound to the nucleus) independently from the other nucleons.

But if the electrons in the inversion layer are connected to a reservoir, as we have asserted to explain the plateaux, one would not expect them to behave like free, independent particles.

It is a standard result that the Hall resistance in a strong field is B/ne, where n is the two-dimensional density of mobile electrons, assumed to be free, independent particles.

Since interactions are neglected by definition, the problem of treating the equilibrium properties and dynamics of an ideal Fermi gas reduces to the study of the behavior of single independent particles.

DDA is somewhat similar to the finite element method for solving stress-displacement problems, but accounts for the interaction of independent particles (blocks) along discontinuities in fractured and jointed rock masses.

It is also the smallest unit of charge that any stable, independent particle can possibly have-no particles can have -3/4e charge, nor can they carry +2.8e of charge-barring technicalities.

The basic idea of the HS transformation is to reformulate a system of particles interacting through two-body potentials into a system of independent particles interacting with a fluctuating field.

Pauling attempted to derive the shell structure of nuclei from pure geometrical considerations related to Platonic solids rather than starting from an independent particle model as in the usual shell model.