Generation contour

The second summation is over all the orbitals of the system. This equation is used in IlyperChem ah imiio calculations to generate contour plots of electrostatic potential, [fwe choose the approximation whereby we n eglect the effects of the diatomic differen tial overlap (NDDO). then the electrostatic potential can be rewritten... 

Figure 3. shows a computer generated contour plot of a quadrant of the uncorrected diffraction pattern. Only ten contours are used, so medium and weak intensities tfend to be neglected unless a contour line passes across them. 

Moreover, in recent years broad band lasers have appeared which lack any frequency modal structure, at the same time retaining such common properties of lasers as directivity and spatial coherence of the light beam at sufficiently high spectral power density. The advantages of such a laser consist of fairly well defined statistical properties and a low noise level. In particular, the authors of [245] report on a tunable modeless direct current laser with a generation contour width of 12 GHz, and with a spectral power density of 50 /xW/MHz. The constructive interference which produces mode structure in a Fabry-Perot-type resonator is eliminated by phase shift, introduced by an acoustic modulator inserted into the resonator. 

Contour plots of two-dimensional functions help illustrate these concepts. In general, the equation f(x) — y defines a surface in R"+I. When n - 2, the plane curves corresponding to various values of y generate contour plots (or maps) of a function. Figure 4 shows the contour plots for the two-dimensional functions discussed before. Note, for the first, the two stationary points corresponding to a minimum and saddle point. For the second, note the region of weak local minima. The contour plots are shaded so that darker areas correspond to higher function values. 

Computer-generated contour plots of the elongation at break and the toughness, measured by the area under the stress-strain curve, exhibit... 

FIGURE 3.1. (a) Whole model leverage plot of actual-versus-predicted responses and (b) model generated contour plots showing injection time-versus-capiUary length. (Reprinted with permission from Reference 51.)... 

Independent variables that were found significant at P < 0.05 in the full model were retained in the reduced models and used to generate contour plots for each response. 

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