Functions slope

FIGURE 11.17 Symmetrical and asymmetrical dose-response curves, (a) Symmetrical Hill equation with n = 1 and EC5o = 1.0. Filled circle indicates the EC50 (where the abscissa yields a half maximal value for the ordinate). Below this curve is the second derivative of the function (slope). The zero ordinate of this curve indicates the point at which the slope is zero (inflection point of the curve). It can be seen that the true EC50 and the inflection match for a symmetrical curve, (b) Asymmetrical curve (Gompertz function with m = 0.55 and EC50= 1.9). The true EC50 is 1.9, while the point of inflection is 0.36. 

The calculation of the shear rate at the capillary wall, 7 , is computed from the function slope of Fig 3.18 and the apparent shear rate using Eq. 3.36. The derivative of the function appears relatively constant over the shear stress range for Fig. 3.18. Many resin systems will have derivatives that vary from point to point. The corrected viscosity can then be obtained by dividing the shear stress at the wall by the shear rate i ,. Equation 3.36 is known as the Weissenberg-Rabinowitsch equation [9]. 

Where A is the coefficient (i.e. the intercept on the y-axis of logarithmically transformed data), BW is the body weight and a is the power function (slope of the Hne). 

The worksheet functions SLOPE known ys, known xs) and INTERCEPT(/f/ioiv/i ys, known xs) return the slope, m, and intercept, b, respectively of the least-squares straight line through a set of data points. For example. Figure 11-1 illustrates some spectrophotometric calibration curve data (concentration of potassium permanganate standards in column B, absorbance of the standards in column C). The formula =SLOPE(C4 C8,B4 B8) in cell C10 was used to obtain the slope of the straight-line calibration curve. The SLOPE and INTERCEPT functions should be used with some caution, since they do not provide a measure of how well the data conforms to a straight line relationship. 

Related Functions SLOPE, INTERCEPT, COVAR, PEARSON, RSQ... 

Related Functions ASIN, COS, TAN, other trigonometric functions SLOPE... 

Figure 3.10, Examples 3.21, 3.22) ten functions slope, std. devn., R, F, sum sq. regr., intercept, std. devn., std. error of estimate, d.f., sum sq. resid. Calculating Unknown Concentration from Calibration Curve, 481 Chapter 3, Problem 38...

The dependence of the logarithm of the rate coefficient for oxidation of isopropyl alcohol on the // acidity function (slope 0.91) is difficult to accommodate by the scheme (219, 220), for which an abscissa of—//, +log ohjo would seem more appropriate. However, in view of the widely varying activity coefficient behaviour of weak bases in strongly acidic media, the slope of near unity for the above oxidation may be fortuitous and somewhat misleading. Clearcut evidence in favour of the ester-hydride transfer mechanism has... 

To evaluate the corrosion resistance of the test amorphous glass in conditions of contact with physiological fluids linear polarization resistance research r =E - =fii) in Ringer solution was conducted. The AE =J Ai) function slope allows the determination of polarization resistance (R, which is inversely proportional to the corrosion rate [2], Polarization resistance of the tested material decreased in the following order ... 

Item Discrimination (Slope Parameter) The item discrimination is determined by the steepness of the logistic function. Slope parameters greater than 1.35/1.70 are considered to be high / very high in discriminating between individuals with different safety culture levels. The item measures most precisely at the steepest part of the logistic curve. 

The slope S is an individual, characteristic variable and dependant on the substance and the current interactions with the phase material. In the above-mentioned example (compare Figure 3.14), the four A -values are calculated and from them the In(Ar) values. With the Excel functions slope and intercept the two characteristic straight line parameters are found. Then, for any other %B conditions the ln(Ar) and from them the Ar-values can be calculated and converted... 

Figure 2.43 compares 5 i(k)/A = Si(k)/(V obtained in the cubic lattice Monte Carlo simulations for a real chain and the Debye function. At kR < 1, Si k)/N of the real chain follows the Debye function, but, at large kR Si(k)/N deviates from the Debye function (slope 2) and follows as predicted. 

Figure 12. Quadratic route described in space with variation in lineal function slope that describes the route in x(t)...

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