Note that when gases are used, their derivation is much more involved.

Note that while the meanings of " noir fiction " and roman noir are closely related, the derivation is not direct.

SEAT 800 four-door derivation from the 600 D. Note frontal " suicide doors "

Note that Boyle's law was not used in this derivation but is easily deduced from the result.

Note that though the ideal gas itself contains no additional energy, the compressed gas does exert an increased pressure.

Note that chemists often write H < sup >+</ sup >( aq ) and refer to the hydrogen ion when describing acid-base reactions but the free hydrogen nucleus, a proton, does not exist alone in water, it exists as the hydronium ion, H < sub > 3 </ sub > O < sup >+</ sup >.

Note that " completeness " has a different meaning here than it does in the context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms of the Theory of Arithmetic is complete, in the sense that there will always exist an arithmetic statement such that neither nor can be proved from the given set of axioms.

* Note: Botswana does not have a westernmost point as the western section is formed by the 22nd meridian of longitude east of Greenwich.

Note that the associative property does not hold for expressions that include non-linear operators, such as the antilinear time reversal operator in physics.

Note that traditional Berkeley DB also supports a Java API, but it does so via JNI and thus requires an installed native library.

* Note: technically Chad does not have an easternmost point, the northern section of the border being formed by the 24 ° of latitude

Note: in Greek, the term for " consul " is " ypatos ", which translates as " supreme one ", and hence does not necessarily imply a joint office.

Note that the validity of a conditional proof does not require that the CPA is actually true, only that if it is true it leads to the consequent.

Note that in many cases, digital cable telephone service is separate from cable modem service being offered by many cable companies and does not rely on Internet Protocol ( IP ) traffic or the Internet.

Note that this does not require 100 % awareness from the onset of the data warehousing effort, no master plan is required upfront.

Note that a dominatrix does not necessarily dominate a male partner ; a dominatrix may well have female submissives, nor must the role of a dominatrix involve pain toward the submissive ; her domination can be verbal, involving humiliating tasks and servitude.

( Note that anti-trust regulation does take into account cases when only large companies are viable because of the nature of an industry, but favors many participants over few, whenever possible.

Note that materialism does not necessarily imply egoism, as indicated by Karl Marx, and the many other materialists who espoused forms of collectivism.

( Note, chart does not include population statistics.

Note that Reynolds does not object to the Marxist use of the term feudalism.

* * Note: Guinea does not have a northern-most point, this section of the border being formed by a straight horizontal line

* * Note: Guinea-Bissau does not have a northern-most point, the border here being formed by a straight horizontal line

Note that chair does not change form between " the chair is here " ( subject ) and " I saw the chair " ( direct object ), a distinction made by word order and context.

Note that ƒ cannot be extended to a homomorphism of rings ( from the complex numbers to the real numbers ), since it does not preserve addition:

Note that this " high temperature " approximation does not distinguish between fermions and bosons.

* * Note: Morocco does not have a southern-most point, the border being formed by a straight horizontal line

Note: In cases where the optical design of a microscope produces an appreciable lateral separation of the two beams we have the case of classical interference microscopy, which does not result in relief images, but can nevertheless be used for the quantitative determination of mass-thicknesses of microscopic objects.

( Note that while Mercury does allow impure functionality, it is not necessary in most software, and serves primarily as a way of calling foreign language code.

Note that some finance and economic theories assume that market participants can borrow at the risk free rate ; in practice, of course, very few ( if any ) borrowers have access to finance at the risk free rate.

Note that LineString objects, along with LinearRing objects, assume linear interpolation between the specified points.

Note that the general pseudo-code above does not assume that the valid solutions are always leaves of the potential search tree.

Note that most common distributions in the exponential family are not curved, and many algorithms designed to work with any member of the exponential family implicitly or explicitly assume that the distribution is not curved.

The structure of the ring can be analysed by considering all ways of embedding both K and L in some field extension of N. Note that the construction here assumes the common subfield N ; but does not assume a priori that K and L are subfields of some field M ( thus getting round the caveats about constructing a compositum field ).

Note that any serious development of the concept must eventually assume a theory of meaning as its foundation Gurwitsch: 1985.

Note that all 4 of these hypothetical Fredkin measuring devices assume some sort of weird notion of absolute space, time, and information that would depend upon the ' alternate-universe engine ' for any empirical validity.

Note that one need not assume that the other inclusion is also a simple homotopy equivalence — that follows from the theorem.

Note too that both systems assume the agent is proactively

Note that it is important to assume that otherwise it would be illegitimate to change the order of summation, and the-invariance would not hold.

( Note that in a real game, black would not see white's moves, but for a problem in which white is to force a win, one must assume the worst-case scenario in which black guesses correctly on each move.

Note that the definitions above assume that each primitive datum is a power of two bytes long.

Note that the operators operate on elements from the domain and range, respectively, of the " one-to-one " and " onto " function ƒ.

The Julia set of a function ƒ is commonly denoted J ( ƒ ), and the Fatou set is denoted F ( ƒ ).< ref > Note that for other areas of mathematics the notation can also represent the Jacobian matrix of a real valued mapping between smooth manifolds .</ ref > These sets are named after the French mathematicians Gaston Julia and Pierre Fatou whose work began the study of complex dynamics during the early 20th century.

Note that in particular for ƒ < sub > 2 </ sub > if we set c equal to e, the base of the natural logarithm, then we get that e < sup > x </ sup > is a transcendental function.

Note that in an infinite dimensional space, we can have a bilinear form ƒ for which is injective but not surjective.