Note that any model of ZF ¬ C is also a model of ZF, so for each of the following statements, there exists a model of ZF in which that statement is true.

Note, however, that the fifth article did not completely deny perseverance of the saints ; Arminius, himself, said that " I never taught that a true believer can … fall away from the faith … yet I will not conceal, that there are passages of Scripture which seem to me to wear this aspect ; and those answers to them which I have been permitted to see, are not of such as kind as to approve themselves on all points to my understanding.

Note that although the carbonate salts of most metals are insoluble in water, the same is not true of the bicarbonate salts.

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 the previous expression holds true only if the kinetic energy flow rate is conserved between system inlet and outlet.

Note that this statement is only true when the refractive indices of both materials are real numbers, as is the case for materials like air and glass.

Note, this is not true of the extension of propositional logic to other logics like first-order logic.

( Note that these relations are true for theoretical and experimental values, but not between experimental and theoretical values.

Note that stress is not a true pressure since it is not scalar.

Note that reporting the beliefs of others in a non-fiction format is not necessarily an endorsement of the ultimate veracity of those beliefs, it is simply saying it is true that people believe them ( for such topics as mythology, religion ).

Note, however, that the converse is not true in general, i. e. zero skewness does not imply that the mean is equal to the median.

Note that this is also true if the boundary is the empty set, e. g. in the metric space of rational numbers, for the set of numbers of which the square is less than 2.

Note that the above considerations are strictly speaking true for the geometric horizon only: the horizon as it would appear for an observer at sea level on a perfectly smooth Earth without an atmosphere.

Note that the Bernstein-von Mises theorem asserts here the asymptotic convergence to the " true " distribution because the probability space corresponding to the discrete set of events is finite ( see above section on asymptotic behaviour of the posterior ).

Note that the visible part of the monocot plant ( left ) is actually the first true leaf produced from the meristem ; the cotyledon itself remains within the seed

Note that both of these are probabilities in a measure theoretic sense, and neither of these is the true probability of expiring in-the-money under the real probability measure.

Note that for this statement to be true, k must be a constant, or else the k can't be taken outside the limit in the line marked (*).

Note that the frequency of this condition does not indicate the true prevalence of chimerism.

** Note: In the early years of the Junior tournament, Canada did not send a true National Junior team to the event.

( Note that running time is measured in terms of the size of the input, which in this case is ~ log n, that being the number of bits needed to represent the number n .) The elliptic curve primality test can be proven to run in O (( log n )< sup > 6 </ sup >), but only if some still unproven ( but widely assumed to be true ) statements of analytic number theory are used.

Note, however, that these are generalizations, and some of these may not be true for specific dialects:

Note that the last phrase is not required to be said if the speaker has a personal or moral objection, as is true of all oaths administered by the United States government ; Article Six of the United States Constitution requires that there be no religious test for public office.

Note that this is only an approximation that holds true when the orbiting body is of considerably lesser mass than the central one, and eccentricity is close to zero.

Note that this is different from an isotropic antenna, which radiates equal power in all directions and has a " spherical " radiation pattern.

Note that the re-emission of photons, which is isotropic in the frame of the grain ( a ), does not affect the dust particle's orbital motion.

File: Australian 1974 tc cortina 6cyl engine bay. JPG | 1974 TC Cortina 6cyl engine bay Note recessed radiator and firewall.

Note that the radiator hose connects to the intake manifold, a telltale Windsor feature.

Note radiator ( engine cooling ) | radiator covers at the left front.

Note the larger radiator section, larger cabinet behind the cab, and shorter engine compartment ( Enlarge image to see detail ).

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 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 this derivation does assume that ƒ ( x ) is sufficiently differentiable and well-behaved ; specifically, that ƒ may be approximated by polynomials ; equivalently, that ƒ is a real analytic function of exponential type.

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.