The Edelman algorithm works equally well for sparse and non-sparse data, since it is based on the compressibility ( rank deficiency ) of the Fourier matrix itself rather than the compressibility ( sparsity ) of the data.

This is often not an ideal solution for GIF images, both because the loss of spatial resolution typically makes an image look fuzzy on the screen, and because the dithering patterns often interfere with the compressibility of the image data, working against GIF's main purpose.

As neither entropy nor enthalpy vary greatly with temperature, it is normal to use the tabulated standard values without any correction for the difference in temperature from 298 K. A correction must be made if the pressure is different from 100 kPa, as the entropy of a gas is proportional to its pressure ( or, more precisely, to its fugacity ): the entropies of liquids vary little with pressure, as the compressibility of a liquid is small.

The Venera 14 craft had the misfortune of ejecting the camera lens cap directly under the surface compressibility tester arm, and returned information for the compressibility of the lens cap rather than the surface.

High-rise structures pose particular design challenges for structural and geotechnical engineers, particularly if situated in a seismically active region or if the underlying soils have geotechnical risk factors such as high compressibility or bay mud.

The reason is that the larger density of water, which works to slow sound in water relative to air, nearly makes up for the compressibility differences in the two media.

The specification above is incomplete, because for any object or system the magnitude of the compressibility depends strongly on whether the process is adiabatic or isothermal.

In laymen's terms, quantization is a method for optimally reducing a large number scale ( with different occurrences of each number ) into a smaller one, and the transform-domain is a convenient representation of the image because the high-frequency coefficients, which contribute less to the over picture than other coefficients, are characteristically small-values with high compressibility.

This was for the benefit of thermometers employed by the Challenger expedition for observing deep-sea temperatures, and were extended to include the compressibility of water, glass, and mercury.

At high speeds and altitudes, calibrated airspeed must be further corrected for compressibility error to give equivalent airspeed ( EAS ).

The calibration equation ( see calibrated airspeed ) accounts for compressibility, but only at standard sea level pressure.

Up to about 200 knots CAS and 10, 000 feet the difference is negligible, but at higher speeds and altitudes CAS must be corrected for compressibility error to determine EAS.

* Ability to test data for compressibility before compressing, preventing the computer from wasting time by trying to compress incompressible data

Accordingly, it was left to others like Kistiakowsky ( who contributed a background in military ordnance and explosives ), Robert Christy ( who contributed the insight that a subcritical sphere of plutonium could be imploded to a critical mass ), John von Neumann ( who contributed the breakthrough mathematical model for using shaped charges to create a truly spherical implosion ), and Edward Teller ( whose knowledge of the compressibility of metals led to the use of density change to achieve criticality rather than mere, same-density, “ assembly ”), to complete the work.

At high altitude, EAS may be obtained from CAS by correcting for compressibility error.

At high speeds and altitudes, calibrated airspeed is further corrected for compressibility errors and becomes equivalent airspeed ( EAS ).

At higher altitudes CAS can be corrected for compressibility error to give equivalent airspeed ( EAS ).

These calculations depend in part on the ideal gas law and also require a gas compressibility calculation in order to account for the fact that real gases are not ideal.

This fact is well-known, for instance, in fluid mechanics where the divergence of a velocity field measures the compressibility of a fluid, which in turn represents the extent to which volume is preserved along flows of the fluid.

The compressibility factor ( Z ), also known as the compression factor, is a useful thermodynamic property for modifying the ideal gas law to account for the real gas behavior.

In heterogeneous fluids, such as a liquid filled with gas bubbles, the density of the liquid and the compressibility of the gas affect the speed of sound in an additive manner, as demonstrated in the hot chocolate effect.

The compressibility equation relates the isothermal compressibility ( and indirectly the pressure ) to the structure of the liquid.

The speed of shear waves, which can occur only in solids, is determined by the solid material's stiffness, compressibility and density.

In thermodynamics and fluid mechanics, compressibility is a measure of the relative volume change of a fluid or solid as a response to a pressure ( or mean stress ) change.

Here the premise is that any observer continually tries to improve the predictability and compressibility of the observations by discovering regularities such as repetitions and symmetries and fractal self-similarity.

At low speeds, the compressibility of air is not significant in relation to aircraft design, but as the airflow nears and exceeds the speed of sound, a host of new aerodynamic effects become important in the design of aircraft.

In solving a subsonic problem, one decision to be made by the aerodynamicist is whether to incorporate the effects of compressibility.

When the effects of compressibility on the solution are small, the aerodynamicist may choose to assume that density is constant.

The presence of shock waves, along with the compressibility effects of high-velocity ( see Reynolds number ) fluids, is the central difference between supersonic and subsonic aerodynamics problems.

The quantity that is conveniently measured at constant experimentally controlled temperature, the isothermal compressibility, is defined by

If M < 0. 2 – 0. 3 and the flow is ( quasi ) steady and isothermal, compressibility effects will be small and a simplified incompressible flow model can be used.

where n is the refraction index, is the photoelastic coefficient of the glass, is Boltzmann constant, and is the isothermal compressibility.

Confined aquifers have very low storativity values ( much less than 0. 01, and as little as 10 < sup >− 5 </ sup >), which means that the aquifer is storing water using the mechanisms of aquifer matrix expansion and the compressibility of water, which typically are both quite small quantities.

The conversion to YCbCr provides two benefits: first, it improves compressibility by providing decorrelation of the color signals ; and second, it separates the luma signal, which is perceptually much more important, from the chroma signal, which is less perceptually important and which can be represented at lower resolution to achieve more efficient data compression.

The deviation is expressed as a compressibility factor.

In practice compressibility error is negligible below about 3, 000 m / 10, 000 feet and 100 m / s / 200 knots CAS.

In practice compressibility error is negligible below about 10, 000 feet and 200 knots.

Figure 2 is an example of a generalized compressibility factor graph derived from hundreds of experimental PVT data points of 10 pure gases, namely methane, ethane, ethylene, propane, n-butane, i-pentane, n-hexane, nitrogen, carbon dioxide and steam.

For example methyl chloride, a highly polar molecule and therefore with significant intermolecular forces, the experimental value for the compressibility factor is at a pressure of 10 atm and temperature of 100 ° C.

For air ( small non-polar molecules ) at approximately the same conditions, the compressibility factor is only ( see table below for 10 bars, 400 K ).

An example: Because ( 1 ) the compressibility of air changes considerably approaching the speed of sound, and ( 2 ) the speed of sound varies considerably with density and therefore altitude ; the maximum speed at which an aircraft structure is safe, the never exceed speed ( abbreviated V < sub > NE </ sub >), is specified at several differing altitudes in faster aircraft's operating manuals, as shown in the sample table below.

: is the compressibility of the bulk aquifer material ( m < sup > 2 </ sup > N < sup >- 1 </ sup > or ), and

: is the compressibility of water ( m < sup > 2 </ sup > N < sup >- 1 </ sup > or )

< tr >< td ></ td >< td > the susceptibility / compressibility / etc.

However, since the effects of the compressibility of air at low speeds is negligible, these simplified equations can be used for both airfoils and hydrofoils as long as the fluid flow is substantially less than the speed of sound .< ref >"... the low-speed flow of air, where V < 100 m / s ( or V < 225 mi / hr ) can also be assumed to be incompressible to a close approximation.