Rectangular plot

The Nichols chart shown in Figure 6.26 is a rectangular plot of open-loop phase on the x-axis against open-loop modulus (dB) on the jr-axis. M and N contours are superimposed so that open-loop and closed-loop frequency response characteristics can be evaluated simultaneously. Like the Bode diagram, the effect of increasing the open-loop gain constant K is to move the open-loop frequency response locus in the y-direction. The Nichols chart is one of the most useful tools in frequency domain analysis. 

The experimental design used was nested plots. Main plots had a total area of 100 m2 and were rectangular plots. The criterion used to determine sample size for each stratum was an estimation of AGB of trees with a diameter at breast height (dbh) >10 cm during pre-sampling (90% probability and 20% mean standard error). 

The question now is, how can a two-dimensional x-y rectangular plot represent a three-dimensional triangular plot In answer, the first criterion to explain is the equilibrium distribution coefficient ... 

If y versus X data appear linear on a semilog plot, then In y versus x would be linear on a rectangular plot, and the data can therefore be correlated by an exponential function y = a exp (6x). (See Equation 2.7-8.)... 

Janecke Coordinates (10). Because of crowding on the triangular coordinates, the rectangular plot of Janecke is particularly useful for this case since the calculator is not limited to the single size of graph paper... 

Plot this orbital with appropriate scale factors to deteiiiiine the behavior of tE in rectangular coordinates. Describe its behavior in spherical polar coordinates. 

This would give a straight line plot on rectangular graph paper. WeibuU graph paper plots [E(/), /] as a straight line. Figure 11 illustrates a typical WeibuU paper. 

The Michaelis-Menten equation is, like Eq. (3-146), a rectangular hyperbola, and it can be cast into three linear plotting forms. The double-reciprocal form, Eq. (3-152), is called the Lineweaver-Burk plot in enzyme kinetics. ... 

Figure A11.2. Plot of f(F) values for data points from the Ambrose and Norr (1993) and Tieszen and Fagre (1993) data sets. f(F) is calculated from the DIFF (Equation I) with dp = +3, dpi = +2, and Bcolla - Bobs = 0. Note that all the points lie between the two functions f(F) = F and f(F) = F° corresponding to total protein routing and total scrambling respectively. The best fit is for f(F) = F The rectangular data points are, a priori, regarded as more reliable than the diamond points in that they constrain f() more precisely.

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