Variation coefficient, constant

A constant variation coefficient - is it good, poor or just an inevitable characteristic of method performance ... 

A Constant Variation Coefficient - Is it Good, Poor or Just an Inevitable Characteristic of Method Performance ... 

Fig. 2. Ten points of calibration at constant variation coefficient, single measurements at each concentration.

Fig. 3. Ten points of calibration, four repeated measurements at each standard, assuming a constant variation coefficient.

This behavior of a method at constant variation coefficient becomes clearer if we recalibrate the method, this time applying fourfold repeated measurements at each standard concentration. The result is shown in Fig. 3. 

Operating Range 0.01-100% with a Constant Variation Coefficient... 

Consider now making the variational coefficients in front of the inner basis functions constant, i.e. they are no longer parameters to be determined by the variational principle. The Is-orbital is thus described by a fixed linear combination of say six basis functions. Similarly the remaining four basis functions may be contracted into only two functions, for example by fixing the coefficient in front of the inner three functions. In doing this the number of basis functions to be handled by the variational procedure has been reduced from 10 to three. 

In Figure 4.6 a number of iso-Mahalanobis distance contours of a three component mixture have been depicted. The square of the variation coefficient (v) is constant. The ellipses drawn at Figure 4.5 are each contour lines with the same probability density value. This means that if a mixture is set to the centre point of one of the ellipses in the figure, than the probability that the composition of the mixture is present inside the drawn ellipse is in all the cases the same. 

Equations have been developed to estimate the total solids content of milk based on % fat and specific gravity (usually estimated using a lactometer). Such equations are empirical and suffer from a number of drawbacks for further discussion see Jenness and Patton (1959). The principal problem is the fact that the coefficient of expansion of milk fat is high and it contracts slowly on cooling and therefore the density of milk fat (Chapter 3) is not constant. Variations in the composition of milk fat and in the proportions of other milk constitiuents have less influence on these equations than the physical state of the fat. 

With few exceptions [177]-[180], [223]-[225], recent analyses of diffusive-thermal phenomena in wrinkled flames have employed approximations [208] of nearly constant density and constant transport coefficients, thereby excluding the gas-expansion effects discussed above. Although results obtained with these approximations are quantitatively inaccurate, the approach greatly simplifies the analysis and thereby enables qualitative diffusive-thermal features shared by real flames to be studied without being obscured by the complexity of variations in density and in other properties. In particular, with this approximation it becomes feasible to admit disturbances with wavelengths less than the thickness of the preheat zone (but still large compared with the thickness of the reactive-diffusive zone). In this approach it is usual to set v = 0 equations (87)-(90) are no longer needed, and equations (93) and (95) are simplified somewhat. It... 

Values for most of the coefficients in Equation (23) were extracted from experimental data. Values were assigned to 4 and ke arbitrarily in the absence of the relevant experimental observations. The bare elastic constants were given a linear pressure dependence based on the variations calculated by Karki et al. (1997a). When experimental data become available, a comparison between observed and predicted elastic constant variations will provide a stringent test for the model of this phase transition as represented by Equation (23). 

The expectation values represented by the double sums in Eq. (4.3) depend on the potential function in Eq. (3.27). For a given harmonic frequency in the basis set, the matrix elements Zy and Zy are fixed but the t and tjv depend on the value of B in the dimensionless potential of Eq. (3.27). For a single-minimum potential there is a high degree of correlation between the values and the value of B, each of which leads to curvature in the rotational-constant variation with vibrational state1S). Since there are ten adjustable parameters, namely, three coefficients for each of the rotational constants plus one potential constant, B, in the reduced potential, it is necessary to determine the rotational constants in a large number of vibrational states if microwave data alone are used. 

In this appendix we discuss the probiem of moment conservation with the DQMOM, and present a variation caiied DQMOM fuiiy conservative (DQMOM-FC) that can be empioyed to partiaiiy overcome it. To iiiustrate the issue, we consider a one-dimensional spatially inhomogeneous PBE for the univariate NDF n(t, x, with constant velocity and constant diffusion coefficient as described in Section 8.3. However, as will become clearer below, the extension to other, more complex, problems is straightforward. 

ACTIVITY COEFFICIENT CORRECTIONS. To eliminate uncertainties arising from activity constant variations, it is common practice to keep activity coefficients constant by use of a "background electrolyte or "constant ionic atmosphere" (e.g., 0.10 M NaC104). Since the glass electrode measu es (for practical purposes) hydrogen ion activity, i.e., pHmeas - -log H+] = -log[H+]y+, it is necessary to convert activity to concentration in the calculations that follow. The relationship of equation 22-4 may be used, where the activity correction C = log Y+-... 

Figure A-40 Solubility of Th02(am, hyd) in 2.33 and 4.67 m NaCl containing 0.1 -2.3 M Na2C03 and 0.1 M NaOH [1999FEL/RAI]. The calculations are based on the equilibrium constants, SIT coefficients and logn, K (aged Th02(am, hyd)) = - 47.5 selected in the present review, taking into account the variation of the solution composition and ionic strength.

In addition to the simple idea of a value rtf variation coefficient which corresponds to the fully mixed condition, the coefficient has also been used to describe research work on the progress of mixing. In an experimental study conducted at constant flow rate, the sample variance decreases as the fluids travel through the static mixer elements. 

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