Contour graph

Different processes like eddy turbulence, bottom current, stagnation of flows, and storm-water events can be simulated, using either laminar or turbulent flow model for simulation. All processes are displayed in real-time graphical mode (history, contour graph, surface, etc.) you can also record them to data files. Thanks to innovative sparse matrix technology, calculation process is fast and stable a large number of layers in vertical and horizontal directions can be used, as well as a small time step. You can hunt for these on the Web. 

The geometric interpretation in the form of contour graphs for both regression models is given in Figs. 3.18 and 3.19. 

Perhaps a more conservative approach is to do an optimization based on hillclimbing techniques [131] or by contour graphing techniques [132-134] when the number of experimental variables have been reduced to a manageable size. 

Figu re 9.11 Three accents ofdiffering duration. Graph (a) shows the path of the FO contour, graph... 

Figure 9.11 Three accents of differing durations. Graph (a) shows the path of the FO contour graph (b) shows the input step function for the second accent. As the accent duration increases, the accent becomes less like a peak and develops a flat top.

The effect of the 40 kbar additional interface pressure is most apparent when the rod velocity just suffices to cause prompt propagating detonation. To illustrate this, a steel rod with a 0.15 cm//xs initial velocity penetrating PBX-9404 was modeled. Contour graphs are shown in Figure 5.32. The steel rod penetrates the PBX-9404 at 0.06 cm/fis, which is 0.04 cm//xs slower than it would penetrate the PBX-9404 if it were inert. The steel rod interface pressure is 50 kbar, which is 40 kbar higher than the 9 kbar ideal interface pressure. Illustrating the importance of this increased interface pressure on penetration velocity, the calculated penetration velocity is about the same for the 0.07 cm/p,s steel rod, where the explosive does not decompose, as for the 0.15 cm/ns rod, where the explosive detonated. 

The stylus of the planimeter is guided around the depth to be measured and the respective area contained within this contour can then be read off. The area is now plotted for each depth as shown in Figure 6.2 and entered onto the area - depth graph. Since the structure is basically cut into slices of increasing depth the area measured for each depth will also increase. 

When a molecule rotates, IlypcrChem abandons the current contour map because it is no longer valid and you must explicitly request a new contour map via the Graph check box. 

Example of a two-factor response surface displayed as (a) a pseudo-three-dimensional graph and (b) a contour plot. Contour lines are shown for intervals of 0.5 response units. 

Comparison of Alignment Charts and Cartesian Graphs. There are typically fewer lines on an alignment chart as compared to Cartesian plots. This reduces error introduced by interpolation and inconsistency between scales. For example, to find a point (x,j) on a Cartesian graph one draws two lines, one perpendicular to each axis, and these reference lines intersect at the point x,j). This point (x,j) may correspond to some finite value found by rea ding a contour map represented by a family of curves corresponding to different values of the function. 

An alignment chart is used by drawing one reference line through the two axes. This reference line, which need not be perpendicular to either axis, crosses a result axis at a unique finite value. This result axis represents the contour map on a Cartesian graph. Thus each line on an alignment chart represents a point on a Cartesian graph. 

Fig. 1.32. (a) Molecular graphs and electron density contours for pentane and hexane. Dots on bond paths represent critical points, (b) Comparison of molecular graphs for bicycloalkanes and corresponding propellanes. (Reproduced from Chem. Rev. 91 893 (1991) with permission of the American Chemical Society.)... 

Isotherm A line in a flow system or on a graph connecting points of equal temperature, or a mathematical or graphical relationship between two variables at constant temperature. Or a display using lines on a drawing to show constant-temperature contour lines, as from thermal imaging with infrared techniques. 

The data on which Fig. 8.74 is based are for tests carried out in carbonate well-water. McAdam made the further interesting discovery that if mild steel were tested in condenser water and a similar graph constructed, the set of contours corresponded more closely to the right-hand side of Fig. 8.74, i.e. the behaviour of mild steel in condenser water was similar to that of Monel in carbonate water. The apparent universality of this diagram is an interesting observation, but it has not provoked a basic theory of corrosion fatigue. 

In order to understand the relationship between the mixture component, physical properties and consumer acceptance of the lipstick, various lipstick formulations have to be produced. The physical properties of each formulation should be studied. The consumer acceptance towards the product also should be investigated. However, only a part of this work will be discussed in this paper. Here, natural waxes, oils and solvent have been used to produce natural ingredient based lipstick formulations based on the formulation suggested by the statistical mixture design. Contour plot and response surface graph were formed in order to understand the relationship between the mixture component and physical characteristic of the lipstick. 

C07-0085. Constract contour drawings for the orbitals graphed in Figure 7-20. appropriately scaled to illustrate the size differences among these orbitals. 

This expression is the same as that for the first-order quadrupole effect in high-field NMR spectra [4, 66]. The angular variation of (4.51) is visualized in Fig. 4.11. The graph on the left shows the contour of the function (3cos 0 1 ... 

Contour plots (Fig. 13) are also generated in the same mariner. The specific response is noted on the graph,... 

Figures 5 and 6 show the response surfaces plotted for Property A and Property B, respectively. Note that two variables are plotted at once, with the values of the other variables fixed at levels chosen by the experimenter. The contours in the graph represent constant levels of the response. Fortunately, the computer allows rapid replotting for various levels of the fixed variables, as well as changing the identities of the fixed and floating variables, so that the entire design space can be investigated.

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