Parentheses errors

Calculated at the JSCH-2005 database geometries [1]. (In parenthesis) number of comparisons. b Mean signed error. c Mean deviation. d Mean unsigned error. e Root mean square error. 

Shear cell measurements offer several pieces of information that permit a better understanding of the material flow characteristics. Two parameters, the shear index, n, and the tensile strength, S, determined by fitting simplified shear cell data to Eq. (6), are reported in Table 2. Because of the experimental method, only a poor estimate of the tensile strength is obtained in many cases. The shear index estimate, however, is quite reliable based on the standard error of the estimate shown in parenthesis in Table 2. The shear index is a simple measure of the flowability of a material and is used here for comparison purposes because it is reasonably reliable [50] and easy to determine. The effective angle of internal... 

Numbers in parenthesis in this and all following tables refer to the error in the least significant digits. 

ESE measurement at 4 K (Argonne National Laboratory). Numbers in parenthesis are the computed errors [(01) 1] from the ESE decay curves. The rate constants were derived from the reciprocal of the ESE measured lifetimes for the downfield y-component. 

Both the theoretical and experimental data for the classic 2S i/2 — 2Pi/2 Lamb shift are collected in Table 12.2. Theoretical results for the energy shifts in this Table contain errors in the parenthesis where the first error is determined by the yet uncalculated contributions to the Lamb shift, discussed above, and the second reflects the experimental uncertainty in the measurement of the proton rms charge radius. We see that the uncertainty of the proton rms radius is the largest source of error in the theoretical prediction of the classical Lamb shift. An immediate conclusion from the data in Table 12.2 is that the value of the proton radius [27] recently derived form the analysis of the world data on the electron-proton scattering seems compatible with the experimental data on the Lamb shift, while the values of the rms proton radius popular earlier [28, 29] are clearly too small to accommodate the experimental data on the Lamb shift. Unfortunately, these experimental results are rather widely scattered and have rather large experimental errors. Their internal consistency leaves much to be desired. 

The uncertainty in the first parenthesis is defined by the error of the electron-proton and proton-deuteron mass ratios, and the uncertainty in the second parenthesis is the theoretical uncertainty discussed above. 

The bracket zeros are assumed values and the standard errors are given in parenthesis. 

The error shown in parenthesis as the uncertainty in the last quoted figure is the standard deviation of the mean or the published standard deviations of the individual measurements, whichever is greatest. 

In all regression equations n is the number of compounds, r is the correlation coefficient, s is the standard deviation, F is the F ratio of the correlation, and P is the significance (tail probability). Numbers in parenthesis after regression coefficients represent standard error. Numbers in parentheses after F statistics indicate significance level. 

The number in parenthesis indicates the estimated absolute error on the last digit. 

Figure 4. Dose-conductance relationship for a) acetylcholine ( ) and levamisole ( ), and b) morantel (O) and pyrantel ( ). Each point is the mean of results from at least two cells Vertical lines indicate the standard error of the mean. The number of cells contributing to each point is shown in parenthesis above or below the error bar. (Reproduced with permission from Ref. 2 Copyright 1985, Society of Chemical Industry).

Table 8.1 Various theoretical calculations of V0 (A3), c/a ratio and B (GPa) for a-quartz. The percentage error is shown in parenthesis.

Table 3.3-1 Structural parameters derived from XAFS for the hydration and contact ion pair of NP under ambient and supercritical conditions. The number of nearest neighbor water molecules (A h2o) 4 their distances (1 h2o)> the number of bromide contact ions (iVar-) and their-distances (f Br ) are reported. Estimated errors are shown in parenthesis.

Because of anharmonicity, these calculated frequencies (6-31G /MP2 level) are about 5% higher on the average than the experimentally determined frequencies. Because this error is fairly constant, the calculated shifts between the monomer and dimer frequencies (shown in parenthesis) are accurate to within a few wavenumbers. For instance, the measured shifts for the HCN and acetylene stretch frequencies in the monomer and dimer are —1 and —24 cm (-1-1 and —27 cm calculated) for the linear isomer and —47 and —11 (—44 and —10 cm calculated) for the T-shaped isomer. 

Average diameter from XRD peak broadening. The number in parenthesis is the estimated error. 

The error on values of Dq is on the order of 5 kcal/mol, reflecting the sensitivity of the fit between theory and experiment. The value in parenthesis is the estimated value for 298 K. 

Table 1. Mean chromosomal diversity (H) and among population differentiation (Fdt) of original and colonizer populations of Drosophila buzzatii. Standard errors are given in parenthesis.

The first value in parenthesis is the statistical error in units of the last digit, the second a possible systematic one where the -i- or - shift would be common for all four electronic states. 

TABLE A.8.3 Custom Physical Quantities with Their Common Symbols, Measured Values (Relative Errors in Parenthesis) and Units Within the International System Framework... 

Fig. 9 Tensile stress at break (or yield) versus volume fraction PPO for the compatible Copolymer B/PPO blends. ( ), break strength ( 0)> yield stress. Error bars indicate 95% confidence limits. Values within parenthesis indicate fraction of samples within test pop til at ions that fail by predominant mode in the embrittlement region.

TABLE 1. Changes induced by the mutation in cowpea in chlorophyll characteristics, leaf absorptivity and the characteristics of DCMU-binding to thylakoids. Standard errors of means are given in parenthesis. 

Errors relatively to FCI are presented in parenthesis. Reprinted with permission from Ref. [88]. Copyright 2014 American Chemical Society... 

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