The total volume of the system above the reference height is Af, and H can be eliminated to obtain an equation for the total potential energy of the system in terms of H.

We know that is opaque and thus follows that is opaque, so in the above equation, each operator can be written as a convex combination:

Note that the RGB color may be premultiplied, hence saving the additional multiplication before RGB in the equation above.

The equation above is a vector equation: in a three dimensional flow, it can be expressed as three scalar equations.

From the above equation, it can be re-arranged to show that

This form of data manipulation allows for rapid computer visualisation and analysis, with data presented as point cloud data with additional information, such as each ion's mass to charge ( as computed from the velocity equation above ), voltage or other auxiliary measured quantity or computation therefrom.

This requires a term of the form for some k. In the above equation, the correct k varies with h. Set and the right hand side becomes.

the hydrostatic equation together with the nonrelativistic Fermi gas equation of state, and also treated the case of a relativistic Fermi gas, giving rise to the value of the limit shown above.

This engine, designed by Saab Automobile, uses a technique that dynamically alters the volume of the combustion chamber ( V < sub > c </ sub >), which, via the above equation, changes the compression ratio ( CR ).

The differential equation given above can be solved to produce equations for the curve.

The equations of motion for r that result from this equation for the rotating 2D frame are the same that would arise from a particle in a fictitious one-dimensional scenario under the influence of the force in the equation above.

Solving the above effective potential equation for the maximum under the given conditions results in a maximum potential of exactly!

From the Shockley ideal diode equation given above, it might appear that the voltage has a positive temperature coefficient ( at a constant current ), but usually the variation of the reverse saturation current term is more significant than the variation in the thermal voltage term.

If the partial pressure of A at x < sub > 1 </ sub > is P < sub > A < sub > 1 </ sub ></ sub > and x < sub > 2 </ sub > is P < sub > A < sub > 2 </ sub ></ sub >, integration of above equation,

This is illustrated in the figure above, where the first pattern is the diffraction pattern of a single slit, given by the function in this equation, and the second figure shows the combined intensity of the light diffracted from the two slits, where the function represent the fine structure, and the coarser structure represents diffraction by the individual slits as described by the function.

The above equation for the bit rate can be rewritten by combining the compression factor and the color depth like this:

: where we simplified the above by using equation ( 1 ).

25 ° C ) and R = 8. 3145 J /( K · mol ), the equation above can be expressed on base — 10 logarithm as shown below:

the above equation tells us something about complex logarithms.

His correspondence with Euler ( who also knew the above equation ) shows that he didn't fully understand logarithms.

We now know that the above equation is true modulo integer multiples of, but Cotes missed the fact that a complex logarithm can have infinitely many values due to the periodicity of the trigonometric functions.

If I told you my son's age, then there would no longer be two unknowns ( variables ), and the problem becomes a linear equation with just one variable, that can be solved as described above.

We do not know whether this case resulted in a successful prosecution or not ; moreover, Poirot is not above lying in order to produce a particular effect in the person to whom he is speaking, so this evidence is not reliable.

In addition, serum levels of doxycycline and erythromycin succinate two bacteriostatic antibacterials ( see above ) may be reduced by alcohol consumption, resulting in reduced efficacy and diminished pharmacotherapeutic effect.

A similar effect can be achieved by drawing different tones close together ; a light edge next to a dark background will stand out to the eye, and almost appear to float above the surface.

He typically avoided contractions such as " don't " in the example above, which also contributes significantly to the humorously pompous effect.

Given this kind of data, the estimated coefficient on Years of Education in the equation above reflects both the effect of education on wages and the effect of other variables on wages, if those other variables were correlated with education.

Unless the econometrician controls for place of birth in the above equation, the effect of birthplace on wages may be falsely attributed to the effect of education on wages.

The most obvious way to control for birthplace is to include a measure of the effect of birthplace in the equation above.

It was not until 1915 that the effect of backlighting of the actors by the sun was fully mimicked in studio lighting, by using a powerful arc spotlight shining from above and behind the set down onto the actors.

Detailed calculation of the efficiency of a hydropower turbine will account for the head lost due to flow friction in the power canal or penstock, rise in tail water level due to flow, the location of the plant and effect of varying gravity, the temperature and barometric pressure of the air, the density of the water at ambient temperature, and the altitudes above sea level of the forebay and tailbay.

Many devices now sold as Hall effect sensors in fact contain both the sensor as described above plus a high gain integrated circuit ( IC ) amplifier in a single package.

In the aerodynamics field, the Coandă effect is commonly defined in the more limited sense above and viscosity is used to explain why the boundary layer attaches to the surface of a wing.

Another measure such as life expectancy at age 5 ( e < sub > 5 </ sub >) can be used to exclude the effect of infant mortality to provide a simple measure of overall mortality rates other than in early childhood — in the hypothetical population above, life expectancy at age 5 would be another 65 years.

This can be due to the large increase in tolerance, a chemical blocking effect caused by methadone above certain doses, or by filling a psychological or physical need provided by illicit opioids.

In the Northern Hemisphere, objects moving across or above the surface of the Earth tend to turn to the right because of the coriolis effect.

Eventually, the effect becomes so great that the maximum kinetic energy is not enough to return the orbit above the limits of the atmospheric drag effect.

Too much use of brightener will often cause a greening effect as emissions start to show above the blue region in the visible spectrum.

A photon above a threshold frequency has the required energy to eject a single electron, creating the observed effect.

However, there is debate concerning whether the quinolones still have such an adverse effect on the DNA of healthy cells, in the manner described above, hence contributing to their adverse safety profile.

Some say that the perplexing effect caused by a postmodern Trabi that can overtake modern cars as described above is worth all the effort.

Although the rule still applies, the visible fuselage " waisting " can only be seen on a few aircraft, such as the B-1B Lancer, Learjet 60, and the Tupolev Tu-160 ' Blackjack ' — the same effect is now achieved by careful positioning of aircraft components, like the boosters and cargo bay on rockets ; the jet engines in front of ( and not directly below ) the wings of the Airbus A380 ; the jet engines behind ( and not purely at the side of ) the fuselage of a Cessna Citation X ; the shape and location of the canopy on the F-22 Raptor ; and the image of the Airbus A380 above showing obvious area rule shaping at the wing root, which is practically invisible from any other angle.

Whether it would produce this effect, or would be an idle threat, depended not so much on Gregory as on Henry's subjects, and, above all, on the German princes.

Hanging upon the above, Hume says that " where several different objects produce the same effect, it must be by means of some quality, which we discover to be common amongst them.