# logarithmic coordinates

## logarithmic coordinates

[′läg·ə‚rith·mik kȯ′ȯrd·ən·əts]
(mathematics)
In the plane, logarithmic coordinates are defined by two coordinate axes, each marked with a scale where the distance between two points is the difference of the logarithms of the two numbers.
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The fatigue curve in logarithmic coordinates [FORMULA NOT REPRODUCIBLE IN ASCII] has a shape of the straight line, then:
Probabilistic constants of [C.sub.2] and [alpha.2] were determined using logarithmic coordinates [FORMULA NOT REPRODUCIBLE IN ASCII] (Fig.
Multiple linear regression is chosen for the mathematical modeling of the intensity depending on the cutting regime parameters in logarithmic coordinates.
Intensity function in logarithmic coordinates, determined by the working environment MathCAD is the following:
Expression of intensity function I, in logarithmic coordinates, determined using MathCAD program is as follows:
Plotting experimental data in the form of dimensionless groups on logarithmic coordinates, representing the plotted values by a straight line, and thereby inferring an algebraic correlating equation in the form of a power-law have been characteristic practices in chemical engineering for over a century.
Accuracy plotting the curve and the associated straight line in the logarithmic coordinates depends on the size of the steps in the denominator values, which can be entirely random but must be on the relevant hyperbola in terms of X.
In logarithmic coordinates the kinetic curves of high-temperature corrosion are straight lines and usually expressed by the following empirical correlation:
In the scaling analysis of the image, one calculates [[Xi].sub.L] for different values of the length scale L and then plots [[Xi].sub.L] versus L in logarithmic coordinates. Figure 3 shows log [[Xi].sub.L] versus log L plots for the two AFM images.

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