Accuracy should be the same

There is a problem though. The trouble is that we are unable to solve the Schrddinger equation exactly either for AB or for A or for B. We have to use approximations. If so, we have to worry about the same accuracy of calculation for AB as for A and B. From this we may expect that 

This problem is already encountered at the stage of basis set choice. For example, suppose we have decided to carry out the calculations within the Hartree-Fock method in the LCAO MO approximation, p. 360. The same method has to be used for AB, A and B. However what does this really mean Should we use the following protocol  

it seems more appropriate to calculate all three quantities using the same 

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It is readily seen that the earlier statement that equation (2) is independent of w is only true for speeds less than about 100 rpm, where W is practically 100%. At higher speeds the efficiency drops considerably, which is probably mainly due to induced currents in the normal spot. Since in this particular two- and five-plate arrangement the path of the normal spot through lead has the same length per rotation (i.e., the total area of the two and five plates are equal) the total induced current loss should be the same, and therefore, the loss per plate is expected to be larger in the two-plate case, resulting in a smaller W. This seems to be noticeable in Fig. 5b, but the accuracy is insufficient to allow any quantitative statement, and further experiments with materials of different resistivity are needed. 

The rules in Table 3.10 are characterized by the following parameters, which provide a more detailed account of the rule characteristics than provided in the earlier example described in Sections 3.2.3-3.2.S. Left-Hand-Side Support (LHS Supp) is the number of instances of the antecedent (i.e., IF part ) of a rule, while Right-Hand-Side Support (RHS Supp) is the number of instances of the consequent (i.e., THEN part ) of a rule. Since the rules are deterministic, these values should be the same, and hence, RHS Accuracy (RHS Acc), which is the ratio of LHS to RHS Support, and is equal to unity for aU of the cases considered here. LHS Coverage (LHS Cov) is the ratio of LHS Supp to the number of total number of objects (drugs), while RHS Coverage (RHS Cov) is the ratio of the RHS Supp to the number of objects (drugs) associated with the descriptor (phospholipidosis, O). The rules are... 

As mentioned before, these results should be the same as the results from the onedimensional analysis as shown in Fig. 7.62. By comparing the two figures, it is clear that the results are virtually identical. This confirms the accuracy of the analytical solution for the one-dimensional flow of a power law fluid. The difference is generally less than 1%, except at small values of the dimensionless pressure gradient g° < 0.1. The loss of accuracy at low pressure gradients was predicted earlier and should not pose a serious problem in the analysis of real extrusion problems. 

WTien historical data are unavailable it is recommended that a capillary pressure curve is measured. The experiment is readily performed in the laboratory and greatly improves the accuracy of later calculations. The necessary equipment is shown in Figure 4.4 and principally comprises a filter at the bottom of a cylindrical funnel (a useful size is about 45 cm long by 10 cm in diameter and the filter cloth should be the same as that intended for use on the actual filter). The funnel is filled with a known volume of suspension at a known solids concentration and is filtered to form a saturated cake. The cake depth and volume of drained filtrate are recorded. A complete capillary pressure curve is obtained by successively incrementing the pressure gradient across the cake and inferring corresponding decrements in the... 

The thickness determined from the ellipsometry measurements at various wavelengths should be the same if the measurements are made of the same interfacial system. Therefore, the accuracy of the determination can be checked. Films absorbing light k O) at certain frequency ranges can be studied at another range where it is completely transparent for unambiguous determination of the thickness. This in turn can be used in optical characterization at... 

The distribution function of the vectors normal to the surfaces,/(x), for the direction of the magnetic field B, in accord with the directions of the crystallographic axis (100) for the P, D, G surfaces, is presented in Fig. 6. The histograms for the P, D, G are practically the same, as they should be the differences between the histograms are of the order of a line width. The accuracy of the numerical results can be judged by comparing the histograms obtained in our calculation with the analytically calculated distribution function for the P, D, G surfaces [29]. The sohd line in Fig. 6(a) represents the result of analytical calculations [35]. 

Key measurement point locations and orientation to the machine s shaft were selected as part of the database setup to provide the best possible detection of incipient machine-train problems. Deviation from the exact point or orientation will affect the accuracy of acquired data. Therefore, it is important that every measurement throughout the life of the program be acquired at exactly the same point and orientation. In addition, the compressive load or downward force applied to the transducer should also be the same for each measurement. 

Principles and Characteristics Mass spectrometry can provide the accurate mass determination in a direct measurement mode. For a properly calibrated mass spectrometer the mass accuracy should be expected to be good to at least 0.1 Da. Accurate mass measurements can be made at any resolution (resolution matters only when separating masses). For polymer/additive deformulation the nominal molecular weight of an analyte, as determined with an accuracy of 0.1 Da from the mass spectrum, is generally insufficient to characterise the sample, in view of the small mass differences in commercial additives. With the thousands of additives, it is obvious that the same nominal mass often corresponds to quite a number of possible additive types, e.g. NPG dibenzoate, Tinuvin 312, Uvistat 247, Flexricin P-1, isobutylpalmitate and fumaric acid for m = 312 Da see also Table 6.7 for m = 268 Da. Accurate mass measurements are most often made in El mode, since the sensitivity is high, and reference mass peaks are readily available (using various fluorinated reference materials). Accurate mass measurements can also be made in Cl... 

It should be noted that some variations for calculating a and (3 exist, and their numerical accuracy might not be the same.26... 

With an E° value of —0.75 V, entry no. 19 of Table 17, reaction between alkyl halides and alkyllithium compounds, represents a strongly exergonic electron-transfer reaction which is expected to proceed at a diffusion-controlled tate. Experimental rate constants are not available, but such reactions are qualitatively known to be very fast. As we proceed to entry no. 21, two model cases of the nucleophilic displacement mechanism, it can first be noted that the nosylate/[nosylate]- couple is electrochemically reversible the radical anion can be generated cathodically and is easily detected by esr spectroscopy (Maki and Geske, 1961). Hence its E° = —0.61 V is a reasonably accurate value. E° (PhS /PhS-) is known with considerably less accuracy since it refers to an electrochemically irreversible process (Dessy et al., 1966). The calculated rate constant is therefore subject to considerable uncertainty and it cannot at present be decided whether the Marcus theory is compatible with this type of electron-transfer step. In the absence of quantitative experimental data, the same applies to entry no. 22 of Table 17. For the PhS-/BuBr reaction we again suffer from the inaccuracy of E° (PhS /PhS-) what can be concluded is that for an electron-transfer step to be feasible the higher E° value (—0.74 V) should be the preferred one. The reality of an electron-transfer mechanism has certainly been strongly disputed, however (Kornblum, 1975). 

This equation is shown on Figure 3 as the solid lines. The coefficient of variation and the correlation length were all derived from the properties of the underlying permeability field—there was no history match. (Strictly speaking, the statistical properties should come from the velocity field, but they appear to be the same within the accuracy of determining C and X. )... 

It should be noted that, since we are talking about measurements in separate experiments, strictly speaking it is not the measurement of x (or Px) that directly affects the measurement of px (or x) it is the preparation process of the ensemble for the two measurements which, being the same, relates the two measurements. Thus, the usual statement the impossibility of knowing simultaneously with accuracy (rather, precision) both position and momentum of a particle should be read as the impossibility of preparing a state for which both position and momentum can be determined with arbitrarily small indeterminacies (see, for example, ref. 9). 

CRMs for microbiology should follow the same type of use as in chemistry. The frequency depends also on similar parameters as in chemistry. There should be a strong emphasis on the fact that CRMs should certainly be used when new batches (from the same or another supplier) of culture media are used in the laboratory. Stability of production of the media is too uncertain to trust suppliers [16], As the medium may strongly affect the accuracy of results and if the laboratory does not maintain its own strains to control its media it is advised to buy a CRM. 

RELATIVE HUMIDITY. Ratio of the amount of water vapor present in the air to that which the air would hold at saturation at the same temperature. It is usually considered on the basis of the weight of the vapor but, for accuracy, should be considered on the basis of vapor pressures. 

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