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: In the following discussion, only one or two common pronunciations of American and British English varieties are used in this article for each word cited.

Note that, following the property of opposite category,.

Note: In Hebrew, P and F are allophones of the same phoneme ( historically, pol is rendered fol-when following a vowel sound ).

* English fruit, and Hebrew perot ( פ ֵּ רו ֹ ת ) Note: In Hebrew, P and F are allophones of the same phoneme ( historically, perot is rendered ferot-when following a vowel sound ).

Note: In Hebrew, B and V are allophones of the same phoneme ( historically, ba is rendered va-when following a vowel sound ).

Note that the hex numbers in the following tables are in little-endian byte order, as the format specification prescribes.

Note: Some of the following kings are already listed above as German Kings

Note: Some of the following dukes are already listed above as German Kings

Note it is placed, following Ptolemy, as just south of the land of the Garamantes.

Note that the following is a classical ( Newtonian ) analysis of orbital mechanics, which assumes that the more subtle effects of general relativity, such as frame dragging and gravitational time dilation are negligible.

The following example of an ASP page with VBScript displays the current time in 24-hour format ( Note that an '=' sign occurring after a context switch (<%) is short-hand for a call to Write () method of the Response object ), but it is also used as the default script for error messages with the windows operating systems.

Note that one can always normalize the weights by making the following transformation on the weights.

( Note that the earliest episodes took place in 2099, though most following stories have taken place in the 22nd century, usually 122 years after real-world publication ( so a story published in the comic in 2008 would take place in 2130 ).

The Note achieved its purpose: on the following day, 17 November, the No votes against chapter III dropped to 46, a number that may have included some who opposed it because they felt the Preliminary Note of Explanation had weakened the concept of collegiality.

The Note is introduced by the following words: " A preliminary note of explanation is being given to the Council Fathers from higher authority, regarding the Modi bearing on Chapter III of the Schema de Ecclesia ; the doctrine set forth in Chapter III ought to be explained and understood in accordance with the meaning and intent of this explanatory note.

Note that this stuffed bit is added even if the following data bit is 0, which could not be mistaken for a sync sequence, so that the receiver can unambiguously distinguish stuffed bits from normal bits.

Note: The following list of documents are those that are presently active.

Note: the majority of the following examples are American English usage.

It was not until 1999, following political corruption allegations, that the aristocratic government was overthrown, with Imata Kabua replaced by the ' commoner ' Kessai Note.

The initial hardback printing of the book contained the following " Note on the Text ", which was omitted from subsequent paperback editions:

Note that unique factorization domains appear in the following chain of class inclusions:

The " Yurovsky Note ," an account of the event filed by Yurovsky to his Bolshevik superiors following the murders, was found in 1989 and detailed in Edvard Radzinsky's 1992 book The Last Tsar.

Note that the air phase is often assumed to be weightless.

Note, however, that II Peter 3: 1 and 3: 8 address the " beloved ," which are assumed to be the elect, or Christians.

Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.

Note that multihomed servers are treated differently, since in this case any randomization is assumed to have been applied already by the name server.

Note however that the existence of f has to be assumed from the start ; two objects B and B ′ that simply have isomorphic sub-and factor objects need not themselves be isomorphic ( for example, in the category of abelian groups, B could be the cyclic group of order four and B ′ the Klein four-group ).

:: Note: " Just as the coin of Philipp in Hartzheim, historia rei nummariae coloniensis Table 3 No. 14, 16, ( 1754 ), yet without its circumscription ; the other ( coin ) is in square form, showed in the center a cross, accompanied by the sword of jurisdiction, and the crosier ( bishop's crook ) on either side, also without transcription, most certainly it is not younger and can be assumed perhaps to turn out to be a coin by Rainald Dassel.

( Note that in this example classical logic is assumed.

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 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 that rings are assumed to have multiplicative identities unless otherwise noted.

Note that ε-isometries are not assumed to be continuous.

w / MPL Since the wage rate is assumed constant marginal cost and marginal product of labor have an inverse relationship-if marginal cost is increasing ( decreasing ) the marginal product of labor is decreasing ( increasing ).< ref > Note also that AVC

Note that in this equation it is assumed that the object is parallel with its line of movement.

Note: In this article, all algebras are assumed to be unital and associative.

Note that for DNS use, the domain name string is assumed to have been normalized using Nameprep and ( for top-level domains ) filtered against an officially registered language table before being punycoded, and that the DNS protocol sets limits on the acceptable lengths of the output Punycode string.

Note: Since front rounded vowels are assumed to have compression, and few descriptions cover the distinction, some of the following may actually have protrusion.

Note: Since back rounded vowels are assumed to have protrusion, and few descriptions cover the distinction, some of the following may actually have compression.

Note: Since front rounded vowels are assumed to have compression, and few descriptions cover the distinction, some of the following may actually have protrusion.

Note that despite being a " natural " treatment, boron is toxic to other plants and to animals at only slightly higher concentrations and, being an element, does not break down ; therefore the long term effects of this technique on soil or groundwater, although not well documented, can be assumed to be unfavorable.

Note that in the calculations used to make this graph, the activation of fission products was ignored and the fission was assumed to occur in a single moment rather than a length of time.

Note: GIMPed from another Wikipedia image, assumed GNU FDL.

Note: The name " Deep Toot " assumed by Tootie is a spoof of Deep Throat

Note that it suffices to prove the result for a small interval I = (− ε, ε ), since if ψ ( t ) is a smooth bump function with compact support in (− ε, ε ) equal identically to 1 near 0, then ψ ( t ) ⋅ F ( t, x ) gives a solution on R × U. Similarly using a smooth partition of unity on R < sup > n </ sup > subordinate to a covering by open balls with centres at δ ⋅ Z < sup > n </ sup >, it can be assumed that all the f < sub > m </ sub > have compact support in some fixed closed ball C. For each m, let

are indices between 1 and m. Note that, since S was assumed to uniquely decodable,