Densities elsewhere in the country were dramatically lower.

In 1815, he published Mémoire sur les masses relatives des molécules des corps simples, ou densités présumées de leur gaz, et sur la constitution de quelques-uns de leur composés, pour servir de suite à l ' Essai sur le même sujet, publié dans le Journal de Physique, juillet 1811 (" Note on the Relative Masses of Elementary Molecules, or Suggested Densities of Their Gases, and on the Constituents of Some of Their Compounds, As a Follow-up to the Essay on the Same Subject, Published in the Journal of Physics, July 1811 ") (), about gas densities.

Densities generally trend towards lower values as the distance from the Sun increases.

Densities also decrease in winter when storms cause them to seek protection in cracks and around larger underwater structures.

Charles Mingus ' " Eclipse " from this album is one of the rare instances where Dolphy solos on soprano clarinet ( others being " Warm Canto " from Mal Waldron's The Quest and " Densities " from the compilation Vintage Dolphy ; there is also an untitled, unreleased recording from a 1962 Town Hall concert.

Densities of up to 2, 254 foraging ants per m < sup > 2 </ sup > with a biomass of 1. 85 g per m < sup > 2 </ sup >, and densities reached 10. 5 nests entrances per m < sup > 2 </ sup >.

* On the Determination of the Exterior and Interior Attractions of Ellipsoids of Variable Densities.

* Donald Kessler ( Kessler 1971 ), " Estimate of Particle Densities and Collision Danger for Spacecraft Moving Through the Asteroid Belt ", Physical Studies of Minor Planets, NASA SP-267, 1971, pp. 595 – 605.

Densities of larger snag size classes, and basal areas of snags in other decay classes were similar on nest sites and random sites within nest stands.

* Brigo, D, Diffusion Processes, " Manifolds of Exponential Densities, and Nonlinear Filtering ", In: Ole E. Barndorff-Nielsen and Eva B. Vedel Jensen, editor, Geometry in Present Day Science, World Scientific, 1999

Densities of about 0. 099 birds per square kilometre have been estimated in this region made up of a mosaic of cultivated fields and wetlands.

His concert works of note include a Sonata for guitar ( 1959 ), Continuum for tape ( 1969 ), a cantata Peccata Mundi ( 1972 ), Contours and Densities at First Hill for orchestra ( 1972 ), a Nonet ( 1979 ), String Quartet No. 2 ( 1985 ) and The Dancing Girls for orchestra ( 1991 ).

Densities may also be defined more generally on non-orientable manifolds.

*" Urban Population Densities ," Journal of the Royal Statistical Society, Series A ( General ), Vol.

Densities of the liquid phase and vapor phase become equal at critical point of drying.

Densities fluctuate depending on the season and habitat.

Densities can range from 100 individuals per ha ( very low level ) over 500 individuals per ha ( medium level ) up to 2000 individuals per ha in some years.

He was granted a second U. S. patent on the " Methods and Means for Matching Opposing Densities in Photographic Film " in the early 1950s.

The molecular transfer equations of Newton's law for fluid momentum at low Reynolds number ( Stokes flow ), Fourier's law for heat, and Fick's law for mass are very similar, since they are all linear approximations to transport of conserved quantities in a flow field.

Others exhibit properties familiar from traditional science, such as thermodynamic behavior, continuum behavior, conserved quantities, percolation, sensitive dependence on initial conditions, and others.

In a similar vein, Wolfram also demonstrates a large number of minimal examples of how simple programs exhibit phenomena like phase transitions, conserved quantities and continuum behavior and thermodynamics that are familiar from traditional science.

* Examination of any conserved quantities, especially in Hamiltonian systems.

* Examination of dissipative quantities ( see Lyapunov function ) analogous to conserved quantities.

It allows investigators to determine the conserved quantities ( invariants ) from the observed symmetries of a physical system.

: If a system has a continuous symmetry property, then there are corresponding quantities whose values are conserved in time.

Such quantities are said to be conserved ; they are often called constants of motion ( although motion per se need not be involved, just evolution in time ).

Several alternative methods for finding conserved quantities were developed in the 19th century, especially by William Rowan Hamilton.

Another approach and perhaps the most efficient for finding conserved quantities is the Hamilton – Jacobi equation.

Since the invariant mass is determined from quantities which are conserved during a decay, the invariant mass calculated using the energy and momentum of the decay products of a single particle is equal to the mass of the particle that decayed.

But it takes much longer for densities of conserved quantities like mass and energy to relax to equilibrium.

Wigner quasi-probability distributions, but, at the mere Poisson bracket classical setting, also provides more power in helping analyze the relevant conserved quantities in a system.

The same principle, and the Lagrangian formalism, are tied closely to Noether's theorem, which connects physical conserved quantities to continuous symmetries of a physical system.

In most practical cases, the stated prior data or testable information is given by a set of conserved quantities ( average values of some moment functions ), associated with the probability distribution in question.

An equivalence between the conserved quantities and corresponding symmetry groups implies the same level of equivalence for both these two ways of specifying the testable information in the maximum entropy method.

Other conserved quantities like baryon number are the same.

At very high temperatures, however, electrons and positrons can spontaneously appear out of the vacuum ( pair production ), so the chemical potential of electrons by themselves becomes a less useful quantity than the chemical potential of the conserved quantities like ( electrons minus positrons ).

Since mass, energy, momentum, electric charge and other natural quantities are conserved under their respective appropriate conditions, a variety of physical phenomena may be described using continuity equations.

Continuity equations more generally can include " source " and " sink " terms, which allow them to describe quantities which are often but not always conserved, such as the density of a molecular species which can be created or destroyed by chemical reactions.

They also are conserved quantities, so long as the system is closed.

The extensive quantities and are conserved and their flows satisfy continuity equations:

Canonical transformations are useful in their own right, and also form the basis for the Hamilton – Jacobi equations ( a useful method for calculating conserved quantities ) and Liouville's theorem ( itself the basis for classical statistical mechanics ).