where ρ is the radius of curvature.

where the notation ρ is used to describe the distance of the path from the origin instead of R to emphasize that this distance is not fixed, but varies with time.

where it already is established that α = ρ.

where ρ is the density.

It can be expressed in other specific quantities by h = u + pv, where u is the specific internal energy, p is the pressure, and v is specific volume which is equal to 1 / ρ, where ρ is the density.

where p is pressure, ρ is density, R < sub > u </ sub > is the gas constant, M is the molar mass and T is temperature.

Now Φ ' has the form, where ( S ) and ( S ') are some quantifier strings, ρ and ρ ' are quantifier-free, and, furthermore, no variable of ( S ) occurs in ρ ' and no variable of ( S ') occurs in ρ.

where R is the radius of curvature, p is the pressure, ρ is the density, and v is the velocity.

where f is the force density ( force per unit volume ) and ρ is the charge density ( charge per unit volume ).

If the fluid being measured is significantly dense, hydrostatic corrections may have to be made for the height between the moving surface of the manometer working fluid and the location where the pressure measurement is desired except when measuring differential pressure of a fluid ( for example across an orifice plate or venturi ), in which case the density ρ should be corrected by subtracting the density of the fluid being measured.

where ( ρ ) is the density and ( Q ) is the volume rate of flow of fluid.

where ρ < sub > s </ sub >( 0, E < sub > f </ sub >) is the LDOS near the Fermi level of the sample at the sample surface.

where f is the Fermi function, ρ < sub > s </ sub > and ρ < sub > T </ sub > are the density of states in the sample and tip, respectively.

where the proportionality constant B < sub > 21 </ sub > is known as the Einstein B coefficient for that particular transition, and ρ ( ν ) is the radiation density of the incident field at frequency ν.

where ρ is the charge density.

where RD is relative density, ρ < sub > substance </ sub > is the density of the substance being measured, and ρ < sub > reference </ sub > is the density of the reference.

But California is where we're goin ''.

He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.

Now I wish to enter the American market, where the competition is very strong.

from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.

The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.

Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.

Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.

A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.

In a society where everything is for sale, Marlowe is the only man who cannot be bought.

This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.

As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.

`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.

She was exposing herself to temptation which it is best to avoid where it can consistently be done.

Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.

but it is perennially restructured in situations where anchors are dragged or lost.

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

Finally we may note that the idea appears in educational theory where its influence is at present widespread.

These nodes are areas where the action potential is amplified using a high density of sodium ( Na < big >+</ big >) ions and is subsequently passed along the axon.

where is the acoustic pressure and is the acoustic fluid velocity vector, is the vector of spatial coordinates, is the time, is the static mass density of the medium and is the bulk modulus of the medium.

where is the mass density of the fluid and is the fluid velocity.

The exception is very near absolute zero, where the density of adiabats drops sharply and they become rare ( see Nernst's theorem ).

In cases where the density of the air is significantly different from the calibration value ( as on a high mountain, or with an exceptionally low barometer ) an allowance must be made.

Population density also has a major impact, where dense urbanisation such as in Japan and the far east has led to the adoption of high capacity long multi-axle buses, often double-deckers, while South America and China are implementing large numbers of articulated buses for bus rapid transit schemes.

Furthermore, it describes how the density of states is changed on entering the superconducting state, where there are no electronic states any more at the Fermi energy.

where is the difference in density of particles separated by a height difference of, is Boltzmann's constant ( namely, the ratio of the universal gas constant,, to Avogadro's number, ), and is the absolute temperature.

CNTs are readily aligned in a high density geometry ( i. e., a vertically aligned forest ) but lack high charge density surfaces — the sidewalls of the CNTs are similar to the basal plane of graphene and exhibit low charge density except where edge defects exist.

Population density figures conceal a great disparity between the republic's most crowded island, Nzwani, which had a density of 470 persons per square kilometer in 1991 ; Ngazidja, which had a density of 250 persons per square kilometer in 1991 ; and Mwali, where the 1991 population density figure was 120 persons per square kilometer.

where I is current in the conductor, J is the current density, and A is the cross-sectional area.

The density of the cane toad is significantly lower within its native distribution than in places where it has been introduced.

In the nonrelativistic case, electron degeneracy pressure gives rise to an equation of state of the form, where P is the pressure, is the mass density, and is a constant.

Assuming that the strength of the cable is proportional to its density per unit length, the weight, w, per unit length of the chain can be written T / c, where c is constant, and the analysis for nonuniform chains can be applied.

The total cross-section is related to the absorbance of the light intensity through Beer-Lambert's law, which says absorbance is proportional to concentration:, where C is the concentration as a number density, A < sub > λ </ sub > is the absorbance at a given wavelength λ, and is the path length.

The plasma pressure can be calculated by the state equation of a perfect gas, where is the particle number density, the Boltzmann constant and the plasma temperature.

** Normal dynamics, is a stochastic motion having a Gaussian probability density function in position with variance MSD that follows, MSD ~ t, where MSD is the mean squared displacement of the process, and t is the time the process is seen ( normal dynamics and Brownian dynamics are very similar ; the term used depends on the field )

In the limit of an infinitesimal volume the density of an inhomogeneous object at a point becomes:, where is an elementary volume at position.

where is the density at a reference temperature, is the thermal expansion coefficient of the material.