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 both in algebra and model theory the binary operations considered are defined on all of S × S.

Note that unlike Hypatia he did not study ' mathematics, philosophy and astronomy ', thus he and his followers came into conflict with the ancient University of Alexandria which pursued all forms of knowledge including science and human anatomy, politics and history according to the model inaugurated by Alexander the Great, the founder of Alexandria.

: Note this model assumes the particle is a point mass, which is certainly known to be false in many cases in which we use this model ; for example, as a model of planetary motion.

Note that the force balance itself creates drag and potential turbulence that will affect the model and introduce errors into the measurements.

Those trials were sanctioned and supervised by NASCAR. Note: between 1964 and 1966, Oldsmobile named its least expensive full size model the Oldsmobile Jetstar 88 which the Jetstar I was not related to, and priced $ 500 –$ 600 below the Jetstar I.

Note that the adjective ' hidden ' refers to the state sequence through which the model passes, not to the parameters of the model ; even if the model parameters are known exactly, the model is still ' hidden '.

Note that the use of natural numbers both in S and the existential quantification merely reflects the usual applications in computability and model theory.

Note that in the standard Shakura-Sunyaev model, viscosity is proportional to the total pressure since

Note the ' grid squares thus formed are far larger than the city blocks described earlier, and the road layouts within the grid squares are generally ' organic ' in form — matching the ' street hierarchy model described above

Note that unlike the liar paradox or Russell's paradox, this paradox does not depend on what model of negation is used, as it is completely negation-free.

Note that many simpler levels of climate model exist ; some are of only heuristic interest, while others continue to be scientifically relevant.

Note that to include a constant in the model above, one can choose to include the variable X < sub > K </ sub > all of whose observed values are unity: X < sub > iK </ sub > = 1 for all i.

a function that associates a header with each relation name in R. ( Note that this is a simplification from the full relational model where there is more than one domain and a header is not just a set of column names but also maps these column names to a domain.

Note: Cisco recommends that all Cisco IOS devices implement the authentication, authorization, and accounting ( AAA ) security model.

( Note that the model can be described mathematically and that words like " predict ", " surprise ", and " expect " are only used to help explain the model.

Note that the mass scale is one to two orders of magnitude greater than some previously used ; ;

Note the use of zero at the beginning an end of the two cycles.

Note the gravitational lens ing effect, which produces two enlarged but highly distorted views of the Cloud.

Note that after calling, we are left with a function that takes a single argument and returns another function, not a function that takes two arguments.

Note that the result of partial function application in this case is a function that takes two arguments.

Note that positions on a surface in navigation use latitude and longitude in a similar two dimensional system.

Note, however, that it is acceptable to define two relative terms in respect of each other.

Note however that working with the current two form itself and the exterior derivative is usually easier than working with the vector field and divergence, because unlike the divergence, the exterior derivative commutes with a change of ( curvilinear ) coordinate system.

Note the two Danish flags.

Note that-is a long syllable, u a short syllable, and U either one long or two shorts:

Note: Any nonlinear electronic block driven by two signals with frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub > would generate intermodulation ( mixing ) products.

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: On most location-based television shows, there will be two Assistant Location Managers that alternate episodes, allowing one to prep an upcoming episode while the other is on-set with the current one.

Note that reflection by a window is from the front side as well as the back side, and that some of the light bounces back and forth a number of times between the two sides.

Note that with this definition, two elements a and b may very well have several greatest common divisors, or none at all.

For future editions of the book, in 1917 Conrad wrote an " Author's Note " where he discusses each of the three stories, and makes light commentary on the character Marlow-the narrator of the tales within the first two stories.

Note that the dipole – dipole interaction between two atoms is usually zero, because atoms rarely carry a permanent dipole.

Note that the two-sample test checks whether the two data samples come from the same distribution.

Note that there is no contradiction among these two results ; both computations are correct.

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: there are two closely related equations which are called Faraday's law.

Note that Karachentsev divides this group into two subgroups centered around IC 342 and Maffei 1.

Note two hydroxyl (- OH ) groups attached to the D ring ( rightmost ring ).

Note the intersection of the two circles — the distinction between short a, i and u is made by both speakers, but Arabic lacks the mid articulation of short vowels, while Hebrew lacks the distinction of vowel length.

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.