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Page "Elliptic operator" ¶ 8
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Note and only
( Note: So far as State Police cars are concerned, only their replacement is under this division ).
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 the 64x16 TRS-80 mode screen uses only a small part of the monitor screen, because the letters are the same size as the 80 × 25 CP / M screen, this was one of the things that was soon after fixed with the redesign to a commercial product
Note: This table represents active equipment only ; there are large numbers of equipment in reserve status.
Note: it is reported in the scientific literature that some " shock " features, such as small shatter cones, which are often reported as being associated only with impact events, have been found in terrestrial volcanic ejecta.
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: no handset, phone is for headset use only.
Note that pure application of this method may provide only a partial ordering on the strings, since different strings can represent the same number ( as with " 2 " and " 2. 0 ", or when scientific notation is used, " 2e3 " and " 2000 ").
( Note that, technically, Wisda's damages would be the lost profits only — if Wisda would have had $ 35 per hour in wages, materials and other expenses, its actual damages are only $ 15 per hour
Note: This study only involved male subjects which may be significant as sex steroids may have different effects in the responses to cortisol administration.
Note that any valid SGML or XML document that references an external subset in its DTD, or whose body contains references to parsed external entities declared in its DTD ( including those declared within its internal subset ), may only be partially parsed but cannot be fully validated by validating SGML or XML parsers in their standalone mode ( this means that these validating parsers will not attempt to retrieve these external entities, and their replacement text will not be accessible ).
Note that this document type declaration can only appear after the optional XML declaration, and before the document body, if the document syntax conforms to XML.
( 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 the obliquity varies only from 24 °. 2 to 22 °. 5 during this time.
Note that front panel sizes are slightly less than the subrack sizes: for example a 3U front panel may only be high whereas the 3U subrack itself is high.
Note that the error, e, depends not only on the estimator ( the estimation formula or procedure ), but on the sample.
Note that the sampling deviation, d, depends not only on the estimator, but on the sample.
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 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: Contains both the original version ( Japanese audio with English subtitles only ) and the edited G version ( English audio only ).
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 and depends
Note that also depends on.
Note that a substance's GWP depends on the timespan over which the potential is calculated.
Note that the likelihood function depends only on what actually happened, and not on what could have happened.
( Note that the propagation of the prion depends on the presence of normally folded protein in which the prion can induce misfolding ; animals which do not express the normal form of the prion protein cannot develop nor transmit the disease.
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 power injected by the torque depends only on the instantaneous angular speed – not on whether the angular speed increases, decreases, or remains constant while the torque is being applied ( this is equivalent to the linear case where the power injected by a force depends only on the instantaneous speed – not on the resulting acceleration, if any ).
Signal processors, such as four-phase modems, cannot change the DSR, but the modulation rate depends on the line modulation scheme, in accordance with Note 4.
Note that the size of the columns depends loosely on the rate of cooling ; very rapid cooling may result in very small (< 1 cm diameter ) columns, while slow cooling is more likely to produce large columns.
Note that this definition of V depends on the gauge choice for the vector potential A ( the gradient of any scalar field can be added to A without changing B ).
Note that triviality also depends on context.
Note that this property holds only as long as other variables on which the intensive variable depends stay constant.
Note that the ( congruence ) closure of a binary relation depends on the operations in, not just on the carrier set.
Note that the conditional expected value is a random variable in its own right, whose value depends on the value of X.
Note: Given the non-linear nature of Invisible War, encountering certain plot elements depends on the actions of the player.
Note that the inner automorphism ( 1 ) does not depend on which such g is selected ; it depends only on g modulo H < sub > o </ sub >.
Note that, due to the principle of univariance, the firing of the cell depends upon only the number of photons absorbed.
Note that security depends also on the resistance of the blinding functions themselves to side-channel attacks.
Note that the adjoint of an operator depends on the scalar product considered on the dimensional complex or real space.
Note that the true distribution of the test statistic actually depends ( slightly ) on the two unknown variances: see Behrens – Fisher problem.
Note that, there is no clear distinction between obligate and non-obligate interaction, rather there exist a continuum between them which depends on various conditions e. g. pH, protein concentration etc.
Note that some authors have defined an anticausal system as one that depends solely on future and present input values or, more simply, as a system that does not depend on past input values.

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