Invalidity

Joule s law The internal energy of a gas depends only on its temperature (being independent of its pressure and volume). Like the other gas laws, it is only approximately true. At high pressures it is invalidated by the existence of inlermolecular forces. 

The geometrical consistency of all possible triplets of time delays (AT31, AT21 and AT32) is validated and invalid combinations are rejected. 

Amorphous materials exliibit speeial quantum properties with respeet to their eleetronie states. The loss of periodieify renders Bloeh s theorem invalid k is no longer a good quantum number. In erystals, stnietural features in the refleetivify ean be assoeiated with eritieal points in the joint density of states. Sinee amorphous materials eaimot be deseribed by k-states, seleetion niles assoeiated with k are no longer appropriate. Refleetivify speetra and assoeiated speetra are often featureless, or they may eonespond to highly smoothed versions of the erystalline speetra. 

In 1953 Scott [H] pointed out that, if the coexistence curve exponent was 1/3, the usual conclusion that the corresponding heat capacity remamed finite was invalid. As a result the heat capacity might diverge and he suggested an exponent a= 1/3. Although it is now known that the heat capacity does diverge, this suggestion attracted little attention at the time. 

To calculate N (E-Eq), the non-torsional transitional modes have been treated as vibrations as well as rotations [26]. The fomier approach is invalid when the transitional mode s barrier for rotation is low, while the latter is inappropriate when the transitional mode is a vibration. Hamionic frequencies for the transitional modes may be obtained from a semi-empirical model [23] or by perfomiing an appropriate nomial mode analysis as a fiinction of the reaction path for the reaction s potential energy surface [26]. Semiclassical quantization may be used to detemiine anliamionic energy levels for die transitional modes [27]. 

For example one forms, within a two-dimensional (2D) sub-Hilbert space, a 2x2 diabatic potential matrix, which is not single valued. This implies that the 2D transformation matrix yields an invalid diabatization and therefore the required dimension of the transformation matrix has to be at least three. The same applies to the size of the sub-Hilbert space, which also has to be at least three. In this section, we intend to discuss this type of problems. It also leads us to term the conditions for reaching the minimal relevant sub-Hilbert space as the necessary conditions for diabatization. ... 

Strictly speaking, this expression is correct for a semi-infinite region bounded by a plane wall and containing a gas at rest. Here it is applied to a bounded region surrounded by a curved wall, and the molecules have a drift velocity parallel to che wall. Knudsen was concerned that this drift velocity might invalidate the treatment, but Pollard and Present [8] showed Chat this is not che case. 

This method of sulphonamide Tormation may obviously be invalidated by the presence of nuclear —NHj or —OH groups, which could react with ihe phosphorus pentachloride or with the subsequent —SO Cl group. 

D) No general reaction can be cited for the preparation of crystalline derivatives of Class (iii). Triphenylamine, when nitrated in acetic acid with fuming nitric acid, gives tri-/>-nitrophenylamine, m.p. 280°. The presence of substituents in the phenyl groups may however complicate or invalidate nitration. 

The argtiments of Norman and his co-workers seem to give affirmative answers to the first and second of these questions, but it is doubtful if the available data further require such an answer for the third question. It can be argued that the crucial comparison made between the behaviour of benzyltrimethylammonium ion and protonated benzyl methyl ether is invalid, and that it is possible to interpret the results in terms of nitration by the nitronium ion, modified by protonation of the oxygen atom of the ether a case for the possible involvement of the nitro-nium ion in specific interaction leading to o-substitution has been made. ... 

As applied in Example 12, the F test was one-tailed. The F test may also be applied as a two-tailed test in which the alternative to the null hypothesis is erj A cr. This doubles the probability that the null hypothesis is invalid and has the effect of changing the confidence level, in the above example, from 95% to 90%. 

According to the classical Langmuir model, n is actually equal to the monolayer capacity, and can be converted into the specific surface A of the solid by the standard relation A = n a L (cf. Equation (2.1)). A number of lines of argument would suggest, however, that this interpretation is invalid, and that the value of A arrived at does not represent a true specific surface. 

Method Errors Determinate method errors are introduced when assumptions about the relationship between the signal and the analyte are invalid. In terms of the general relationships between the measured signal and the amount of analyte... 

When you obtain your final answer, be sure to check your assumptions. If any of your assumptions prove invalid, then return to the previous step and continue solving. The problem is complete when you have an answer that does not violate any of your assumptions. 

G. K. Koenig, Patent Invalidity, Clark Boardman Company Ltd., New York, 1980. 

Invalid. The transition time has expired, and the limit switch inputs are not consistent with the commanded state for the valve. 

It is important to note that vahdation typicahy only brings a measurement under suspicion. It does not verify that the measurement is incorrect. Safety is paramount. Some vahdation analysis could result in concluding that the measurement is invalid when, in fact, the comparison information is invahd. It is not difficult to extrapolate that actions could result from this erroneous conclusion which would place maintenance and operating personnel in jeopardy. Validation merely raises suspicion it does not confirm errors or measurement. 

If any provision of this Agreement or the application thereof to any person or circumstance will, for any reason, and to any extent, be held to be invalid or unenforceable under applicable law, such provision will be deemed limited or modified to the extent necessary to make the same valid and enforceable under applicable law. If such invalidity becomes known or apparent to [insert company name] and to Seller, [insert company name] and Seller agree to negotiate promptly in good faith in an attempt to make appropriate changes and adjustments to achieve as closely as possible, consistent with applicable law, the intent and spirit of such invalid provision. 

Corrective action Do multipoint calibration invalidate data collection since last zero/ span check within control limits... 

Recording and Data reported weekly to quality assurance coordinator, with invalid... 

NB The data compares a syndiotactic material with a melt index of 30 and an isotaclic material with an index of 0.3. This should however not invalidate the large differences seen in such properties as modulus, impact strength and opacity.)... 

The mechanical properties, especially the internal stresses set up by interaction of substrate and deposit, have a close bearing on the behavior of metallic interconnects (electrical conductors) in integrated circuits. Such interconnects suffer from more diseases than does a drink-sodden and tobacco-crazed invalid, and stress-states play roughly the role of nicotine poisoning. A very good review specifically of stresses in films is by Nix (1989). 

Although, for most moderators, the surface of a stationary phase in LC can be considered stable at moderator concentrations above about 5%v/v, the results from the same experiments as those carried out by Purnell and his group could still be considered invalid and, at best, would not lead to unambiguous conclusions. Katz et al. [9] avoided this problem by examining liquid/liquid distribution systems using water as one phase and a series of immiscible solvent mixtures as the other and by measuring absolute distribution coefficients as opposed to retention volumes. 

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