Derivative graphical

Fig. 13. Phase diagram for the 2,6-dimethyl-4-heptanone modified epoxy system derived graphically from Fig. 12...

Some figures calculated by method of Lineweaver and Burk,173 and others derived graphically. 

In this equation, E is the potentiometric response, is the standard potential, and is the potentiometric selectivity coefficient [23]. The Nickolsky Eisenman equation is only valid if ions of the same valency are compared [24]. If that is not the case, if a divalent cation is interfering the measurement of a monovalent ion or vice versa, a new selectivity factor AT is recommended [24,25] which more accurately describes the degree of interference log/Tfj is derived graphically from the horizontal distance of the separately measured calibration curves towards the two ions, i and j, of interest (Figure 5) and is formulated as follows ... 

The reductions of 1- and 12-keto steroids and their 1-decalone derivatives graphically illustrate the fact that dissolving metal reductions of ketones do not necessarily afford the more stable of a pair of epimeric alcohols. As a corollary, while the reduction of cyclic ketones is a synthetically useful procedure for the stereoselective preparation of secondary alcohols, it cannot be assumed that the thermodynamically stable alcohol will be the product which is obtained stereoselectively. 

The salt error of neutral red in salt concentrations less than 2.0% was found to be negligible, in contrast to the case of phenol-phthalein and a-naphtholphthalein. The following corrections were derived graphically from the results of Sorensen and Palitzsch. 

The techniques developed earlier for solving column sections are now extended to include total columns. A mathematical model is set up which is used to derive graphical methods of solution on a Y-X diagram. Solution methods are described for different sets of specifications. 

The LD50 may be derived graphically from a plot of the probit transform of the incidence of death against the logarithm of the dose administered. This is the classical quantal assay. 

A C XI m moles/l. -r, - 0.154 m mole. /1 -min che slope of the reaciion raw curve is positive. Therefore, this operadnj point is stable. For ihc other two points, (he stal Ucy rr.ay be exarmned by estunadng the derivative graphically ... 

This simplified equation can be derived graphically from experimental data. Application of this procedure to the data from Hansen s laboratory yielded the relationship shown in Figure 8. The logarithm of dietary linoleate is proportional to the algebraic sum of diene -triene + tetraene. This latter term has found use as a measure of dietary intake of linoleate. For example. Figure 9 shows the re-... 

We can depict this derivation graphically, as a.derivation tree, sometimes called a parse tree. 

The analytical solution, which required the intersection of two curves, was derived graphically as described above, but never in terms of formulae or equations, which now follow herein. One form of the distribution formula, ratio of bound fraction to unbound fraction (in this case fluorescence-labeled antibody or the combination of labeled -F unlabeled antibody) is a version of the Langmuir adsorption isotherm ... 

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