hence, these figures apply immediately above the Earth's atmosphere.

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

The above order, is the tuning from the 1st string ( highest-pitched string e '— spatially the bottom string in playing position ) to the 6th string ( lowest-pitched string E — spatially the upper string in playing position, and hence comfortable to pluck with the thumb.

The style was used in bronze by Bernini for his spectacular St. Peter's baldachin, actually a ciborium ( which displaced Constantine's columns ), and thereafter became very popular with Baroque and Rococo church architects, above all in Latin America, where they were very often used, especially on a small scale, as they are easy to produce in wood by turning on a lathe ( hence also the style's popularity for spindles on furniture and stairs ).

* For those who prefer low distortion figures, the use of tubes with class A ( generating little odd-harmonic distortion, as mentioned above ) together with symmetrical circuits ( such as push – pull output stages, or balanced low-level stages ) results in the cancellation of most of the even distortion harmonics, hence the removal of most of the distortion.

The UK National Health Service uses a similar system with categories labeled A, B, C, and D. The above Levels are only appropriate for treatment or interventions ; different types of research are required for assessing diagnostic accuracy or natural history and prognosis, and hence different " levels " are required.

In addition, ammonium nitrate is hygroscopic, susceptible to damp, hence the above concerns.

Because of the Balkans were rich in raw materials like iron, zinc and above all oil that could help Germany survive a British blockade, it was viewed as highly important by the Allies to keep German influence in the Balkans to a minimum, hence British efforts to link British promises to support Turkey in the event of an Italian attack in exchange for Turkish promises to help defend Romania from a German attack.

However, linear equations that have non-zero y-intercepts, when written in this manner, produce functions which will have neither property above and hence are not linear functions in this sense.

In contrast to the simple supply / demand figure above, it was commonly found that teenagers withdrew from the labor force in response to the minimum wage, which produced the possibility of equal reductions in the supply as well as the demand for labor at a higher minimum wage and hence no impact on the unemployment rate.

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.

The right rotation operation as shown in the image above is performed with Q as the root and hence is a right rotation on, or rooted at, Q.

Having become monarchs with a claim to represent the entire nation and stand above factions, the House of Orange decided to break with the song which served them as heads of a faction, and the Wilhelmus was hence replaced by Hendrik Tollens ' song Wien Neêrlands bloed door d ' aderen vloeit, which was the official Dutch anthem from 1815 till 1932.

Moreover, if the relation '≥' in the above expression is actually an equality, then and hence ; the definition of z then establishes a relation of linear dependence between u and v. This establishes the theorem.

The bait casting reel is mounted above the rod, hence its other name, the overhead reel-commonly used in New Zealand and Australia.

In biology, and specifically genetics, epigenetics is the study of heritable changes in gene expression or cellular phenotype caused by mechanisms other than changes in the underlying DNA sequence – hence the name epi-( Greek: επί-over, above, outer )-genetics.

As described above, any completely regular space is regular, and any T < sub > 0 </ sub > space that is not Hausdorff ( and hence not preregular ) cannot be regular.

Observe that and hence by the argument above we may apply Fubini's theorem again ( i. e. interchange the order of integration ):

For names above the rank of family the principle of priority is not obligatory, hence the difference between the two names.

In this case the light rays are bent down and so the image appears above the true object, hence the name superior.

Frankfort was a logical place for settlement not only because Verona Island commanded the approach up the river, but because the river above the town froze during the winter, making this the last ice-free port as one ascended — hence the name " Winterport ".

This writing identifies the sink as one of a number of similar subsurface geologic features in the surrounding area, differing from the Big Spring sink only in the fact that the surface topography above the others, while showing some decline, does not dip low enough to intersect the top of the water tables ; hence, no springs could form from the other aquifers.

Volcanoes that occur above subduction zones, such as Mount St. Helens and Mount Fuji, lie at ~ 100 km from the trench in arcuate chains, hence the term volcanic arc.

Note that the above construction of the Galois group for a fifth degree polynomial only applies to the general polynomial, specific polynomials of the fifth degree may have different Galois groups with quite different properties, e. g. has a splitting field generated by a primitive 5th root of unity, and hence its Galois group is abelian and the equation itself solvable by radicals.

After the introduction of the p-adic numbers, it was shown that the Newton polygon is just as useful in questions of ramification for local fields, and hence in algebraic number theory.

Köstenberger ( and separately Van Voorst ) state that the Josephus ' reference to the large number of followers of Jesus during his public ministry is unlikely to have been due to a Christian scribe familiar with the New Testamant accounts, and is hence unlikely to be an interpolation.

Line doubling is sometimes confused with deinterlacing in general, or with interpolation ( image scaling ) which uses spatial filtering to generate extra lines and hence reduce the visibility of pixelation on any type of display.

The set of valid index tuples and the addresses of the elements ( and hence the element addressing formula ) are usually, but not always, fixed while the array is in use.

The same number however occurs in many other mathematical contexts, where it is denoted by ( often read as " n choose k "); notably it occurs as coefficient in the binomial formula, hence its name binomial coefficient.

The only exception to the formula is the Klein bottle, which has Euler characteristic 0 ( hence the formula gives p = 7 ) and requires 6 colors, as shown by P. Franklin in 1934 ( Weisstein ).

The tropical year in the 1960 definition was not measured but calculated from a formula describing a mean tropical year that decreased linearly over time, hence the curious reference to a specific instantaneous tropical year.

By contrast, ext2 and other Berkeley FFS-like file systems of that time simply used a fixed formula for computing inode locations, hence limiting the number of files they may contain.

Venus rotates retrograde with a sidereal day lasting about 243. 0 earth-days, or about 1. 08 times its orbital period of 224. 7 earth-days ; hence by the retrograde formula its solar day is about 116. 8 earth-days, and it has about 1. 9 solar days per orbital period.

At one point, the Red Skull's mind inhabited a body cloned from Captain America's, and hence possessed the mutagenic alterations induced by the Super-Soldier formula.

As we see that is defined by a formula and hence is a set.

Its name comes from being a structural isomer of enflurane, hence they have the same empirical formula.

Atomic nuclei consisting of such a magic number of nucleons have a higher average binding energy per nucleon than one would expect based upon predictions such as the semi-empirical mass formula and are hence more stable against nuclear decay.

This formula cannot be proven without using such infinitesimal arguments – unlike the 2-dimensional formulae for polyhedral area, though similar to the area of the circle – and hence admitted less rigorous proofs before the advent of calculus, with the ancient Greeks using the method of exhaustion.

This formula hence is larger with each partition that has members from both sample, and larger with each partition that has a large overlap of the two sample's members within it.

As the light level decreases out of the reciprocity range, the increase in duration, and hence of total exposure, required to produce an equivalent response becomes higher than the formula states ; for instance, at half of the light required for a normal exposure, the duration must be more than doubled for the same result.

Each router will have its own d < sub > trans </ sub >, d < sub > prop </ sub >, d < sub > proc </ sub > hence this formula gives a rough estimate.

In several instances the function is easier to be approached then, and, if grows sufficiently large, the sum is of negligible order of magnitude, hence, one obtains an asymptotic formula for.

The top-down formula employed rendered the entire process irrelevant as it only involved the urban areas hence the better educated and wealthier segments of society.

The languages of epistemic logic are usually finitary, whereas the axiom above defines common knowledge as an infinite conjunction of formulas, hence not a well-formed formula of the language.

When this was introduced by Beecham, it was originally in a " Double Protection " formula, by combining a " white " fluoride toothpaste for cavity protection and an " aqua " gel for fresh breath, hence the name.

* If after applying a resolution rule the empty clause is derived, the original formula is unsatisfiable ( or contradictory ), and hence it can be concluded that the initial conjecture follows from the axioms.