It is then a theorem that there are in fact infinitely many such lines through P. Note that this axiom still does not uniquely characterize the hyperbolic plane uniquely up to isometry ; there is an extra constant, the curvature K < 0, which must be specified.

( Note: So far as State Police cars are concerned, only their replacement is under this division ).

Note, however, that it is six inches shorter at the forward end.

Note another piece of wood six inches wide is fastened to the transom between these pieces.

Note: If 1/2-inch panel board is used inside and out, or 5/8-inch one side and 3/8-inch the other, and 1/8-inch glass is used, stock lumber in Af, Af, and Af can be used in making the glass panels.

Note that the mass threshold is four times that of 1958 Alpha and that the flux is one fifth as large.

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

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

Note that flexural strength is not always improved by simply increasing the density, nor is the change always proportional from one formulation to another.

Most European domestic power supplies run at 230 V, so the current drawn by a particular European appliance ( in Europe ) will be less than for an equivalent American one ( in the United States ).< ref group =" Note "> The formula for power is given by

Note that this premise uses the phrase " is not ", a form of " to be "; this and many other examples show that he did not intend to abandon " to be " as such.

Note: This list is limited to linguists who have worked specifically on the Altaic problem since the publication of the first volume of Ramstedt's Einführung in 1952.

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 there is no directly corresponding concept in the German language.

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 that the above formula is only applicable to classical ideal gases and not Bose – Einstein or Fermi gases.

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 that this is not the same as a monophyly in which all descendants of a common ancestor are included.

Note: because Solar System bodies are never perfect diffuse reflectors, astronomers use empirically derived relationships to predict apparent magnitudes when accuracy is required.

Note that this is subtly different to the ' thanks ' list in the original BBC Model B.

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 there are N independent eigenvectors ; a unitary matrix is never defective.

Note however that Kierkegaard's meaning of " nihilism " differs from the modern definition in the sense that, for Kierkegaard, levelling led to a life lacking meaning, purpose or value, whereas the modern interpretation of nihilism posits that there was never any meaning, purpose or value to begin with.

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 the second letter is never further up the alphabet than the first, that is to say no star can be BA, CA, CB, DA or so on.

Note that with this definition, unlike SNR, a SINAD reading can never be less than 1 ( i. e. it is always positive when quoted in dB ).

Note that Wèi Wǔ Dì Cáo Cāo was never a sovereign in his own right but his son was.

( Note that the king never starts on the a-or h-files, since this would leave no space for a rook.

( Note that the AAFC Brooklyn Dodgers were a separate entity never associated with Topping's team.

Note however that a sentence reflecting a supposed understanding of the actions of others, such as one that contains a statement like " he or she never believed ..." or " those others " is already stepping outside of the solipsist's subjective viewpoint, and so misleading when used to illustrate a solipsistic view of death.

I am sure the King would have no difficulty in giving his Sovereignty to England ; and I have lately, with Sir William Hamilton, got a Note that Malta should never be given to any Power without the consent of England ....

Note that the reason we can discard the absolute value sign is that, as we observed earlier, ( x − 4 )< sup > 2 </ sup > + 9 can never be negative.

Note that the above method will determine the smallest of the two possible angles — it will never be more than 180 °, as the value of the cosine is symmetric between the upper and lower halves of the unit circle.

Note that ' lah ' is often written after a comma for clarity, but there is never a pause before it.

( Note, however, that even if we have gotten to the correct answer ( the end of the finite sequence ) we are never sure that we have the correct answer.

Note that is at least n, since smaller functions are never time-constructible.

Note that negative polarity can be triggered not only by direct negatives such as " not " or " never ", but by words such as " doubt " or " hardly " (" I doubt he has ever owed anything to anyone " or " He has hardly ever owed anything to anyone ").

Note that, because control can never pass through the end of a basic block, some block boundaries may have to be modified after finding the basic blocks.

( Note: historians have never reached a consensus on the use of a standard name for this epic journey.

Note that it is not required that O < sub > X </ sub >( U ) be a local ring for every open set U. In fact, that is almost never going to be the case.

* Maciste il Vendicatore dei Mayas / Maciste, Avenger of the Mayans ( No American title, 1965 ) ( Note * This Maciste film was made up almost entirely of re-edited stock footage from 2 older Maciste films, Maciste contro i mostri and Maciste contro i cacciatori di teste, so Maciste switches from Kirk Morris to Reg Lewis in various scenes ; this movie is very scarce since it was never distributed in the USA and is not available in English.

* Maciste il Vendicatore dei Mayas / Maciste, Avenger of the Mayans ( no American title, 1965 ) ( Note * This Maciste film was made up almost entirely of re-edited stock footage from 2 older Maciste films, Maciste contro i mostri and Maciste contro i cacciatori di teste, so Maciste switches from Kirk Morris to Reg Lewis in various scenes ; this movie is very scarce since it was never distributed in the USA and is not available in English.

Note that a naive perturbation theory around one of those two vacua would never show this non-perturbative tunneling effect, dramatically changing the picture of the vacuum structure of this quantum mechanical system.

: Note: The Pan-American Highway is almost never referred to by name in the U. S. Additionally, it may have multiple branches.