Note also that if Af, then Af is divisible by the polynomial p, because Af contains each Af as a factor.

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 that this pressure increase is more than a simple 10: 1 compression ratio would indicate ; this is because the gas is not only compressed, but the work done to compress the gas has also heated the gas and the hotter gas will have a greater pressure even if the volume had not changed.

Note also that antibodies tend to discriminate between the specific molecular structures presented on the surface of the antigen ( as illustrated in the Figure ).

Note the confident local allusion in 19: 9 to " the school of Tyrannus " and in 19: 33 to " Alexander "; also the very minute topography in 20: 13 – 15.

Note that wav files can also be encoded with the gsm codec.

Note that t < sup > 0 </ sup > = 1, ( 1 − t )< sup > 0 </ sup > = 1, and that the binomial coefficient,, also expressed as or is:

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

* * Note: this is also the westernmost point of Africa

Note also Mirbt, Quellen, 2d ed, pp. 202 – 255.

Note also that the terms are not always treated as mutually exclusive ; there is not necessarily anything contradictory in the statement that " the language of the Pennsylvania Dutch is a dialect of German ".

Note also that even in validating SGML or XML 1. 0 or XML 1. 1 parsers, the external entities referenced by an FPI and / or URI in declared notations are not retrieved automatically by the parsers themselves.

Note that it is also possible to tunnel DPNSS and its associated PCM ( G711 ) over an IP network.

Note that also depends on.

Cultured skin and prostate cancer cells showed significant mortality ( compared to nonmalignant cells ) when treated with a combination of quercetin and ultrasound Note that ultrasound also promotes topical absorption by up to 1, 000 times, making the use of topical quercetin and ultrasound wands an interesting proposition.

Note that one can also define a contravariant functor as a covariant functor on the dual category.

* Note: 12ZTAX22 also came as a limited edition with a box designed to contain all the Rage Hard UK issues ( box featured the Red fist )

Note also that until well into the 20th Century, rather than an official readying the ball for scrimmage, the side entitled to the snap had complete custody of the ball and could snap it from the required spot at any time ; for instance, a tackled ball carrier might feign injury, then suddenly snap the ball while recumbent, there being no stance requirement yet.

Note that purnima or pornima is Sanskrit for full moon, which has also become the Malay word for full moon purnama.

Then, once this claim ( expressed in the previous sentence ) is proved, it will suffice to prove " φ is either refutable or satisfiable " only for φ's belonging to the class C. Note also that if φ is provably equivalent to ψ ( i. e., ( φ ≡ ψ ) is provable ), then it is indeed the case that " ψ is either refutable or satisfiable " → " φ is either refutable or satisfiable " ( the soundness theorem is needed to show this ).

Note also that ' br ' is an empty element in that, while it may have attributes, it can take no content and it may not have an end tag.

( Note: see also for the original pretranslation text of this council in Greek and Latin )

Note that self-splicing introns are also sometimes found within tRNA genes.

Note also the existence of yank — the derivative of force with respect to time.

Note: There was also an experimental KV-1K-Katyusha mounted on KV-1 tank which was not taken in service.

Note that the probability of finding particles in the same state is relatively larger than in the distinguishable case.

Note that not every probability distribution has a defined mean ; see the Cauchy distribution for an example.

Note that the probability of risk occurrence is difficult to estimate, since the past data on frequencies are not readily available, as mentioned above.

* The probability a set will have features different and features the same is ( Note: d = 0 all four features the same is impossible as no two cards are identical ).

Note: This is not the same as the probability that those parameters are the right ones, given the observed sample.

Note that the obvious compatibility condition, namely, that this marginal probability distribution be in the same class as the one derived from the full-blown stochastic process, is not a requirement.

Note that what affects the value of for different values of is only the factors and, which both appear in the numerator, and hence the posterior probability is proportional to both.

Note that both types of predictive distributions have the form of a compound probability distribution ( as does the marginal likelihood ).

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 ground state probability density is concentrated at the origin.

: Decomposition: Note corresponds to the probability density.

Note that the cumulative column contains the probability of being dealt that hand or any of the hands ranked higher than it.

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 some other algorithms may also output confidence values, but in general, only for probabilistic algorithms is this value mathematically grounded in probability theory.

Note that 1 ) many matings are required to have a high probability of detecting a homozygous dominant ( once a ridgeless pup is produced, the animal in question is assumed to be homozygous without question ), and 2 ) more than one sire can produce the pups in one litter.

Note that although we are looking at success / failure, the data are not accurately modeled by the binomial distribution, because the probability of success on each trial is not the same, as the size of the remaining population changes as we remove each marble.

Note that power is the probability of finding a difference that does exist, as opposed to the likelihood of declaring a difference that does not exist ( which is known as a Type I error, or " false positive ").

Note that if the probability density function is a function of various parameters, so too will be its normalizing constant.

Note that the expectation of this random variable is equal to the probability of A itself:

Note that a marginal probability can always be written as an expected value:

Note that gcd ( x, N )= 1 with overwhelming probability, which ensures that there are 4 square roots of x < sup > 2 </ sup > mod N.

Note that this expression is not guaranteed to be positive, and is therefore not a valid probability distribution.