Curves Circles

In Fig. 3.20, the experimental transition curves (circle, square, and diamond markers for LP0S. LP07, and LP06 modes, respectively) are plotted together with the Lorentzian fitting, while the fitting parameters are shown in Table 3.1. 

Figure 7. Surface adsorption of tritium-labeled FMCG at pH 7.8. (O), in solution with no lipid added (Q), in solution with brain lipid added (A), dried sample, no lipid (A), dried sample, with brain lipid. Ordinates, radioactive c.p.m. X 10 2 for two lower curves (circles) and c.p.m. X 10 3 for two upper curves (triangles) abscissa, —log molar concentration of FMCG...

Fig. 9.34 Experimentally measured SBPs by cooling experiments as in Fig. 9.20 (PVC) and theoretically calculated SBP (solid curve). Circles and triangles denote two identical experiments. Solid circles and triangles denote solid-bed width at the barrel surface (maximum) open circles and triangles represent the solid-bed width at the root of the screw (minimum). Operating conditions as follows Tb = 375° N — 30 rpm P = 4300 psi G — 107.2 lb/h. [Reprinted by permission from Z. Tadmor and I. Klein, Engineering Principles of Plasticating Extrusion, Van Nostrand Reinhold, New York, 1970.]...

If you determine the slope of the curve, circle the two points on the line that you are using in the calculation. 

Mordenite. We dealuminated mordenite with acid and treated the product with B2O3 in basic solution. The products obtained contain high levels of boron. The amount of boron in the product is dependent upon the level of dealumination of the mordenite. Figure 5 is a plot of the boron content of the product versus the Si/Al level of the starting material. More heavily dealuminated samples contain more boron after a KOH/B2O3 treatment. The data point off of the curve (circle in Figure 5) is for a synthetically prepared siliceous mordenite, whereas the data points on the curve are for acid dealuminated (siliceous) mordenites. It is clear that materials which have the same aluminum content prepared by these two methods react differently with borate anions. An acid dealuminated mordenite with Si/Al -12 takes up almost ten times as much boron than its synthetically prepared analogue. 

Fig.21. Segregation temperature dependence in the bi-phase Al-3%Ag alloy (a) The surface concentration of the solid solution phase (cqs)> based on the depicted curve. Circles average surface concentration derived from experimental data of Ref.82 (as in Fig. 19a) and Cg is the best-fit line, (b) The bulk fraction xg and surface fraction of the Ag2Al clusters, derived from and Cg -, respectively.

Figure 5 displays the three partial intensities. Here the upper curve (circles) correspond to the SAXS intensity measured by a conventional SAXS experiment far below the edge. The lowermost curve (triangles) is the self-term of Eq. (12) and the curve in between marks the cross-term (squares). As expected from previous model calculations, the intensities exhibit a very similar dependence on q [17], Note that the self-term which is much smaller than the non-resonant term or the cross term can be obtained up to q = 2.5 nm-1. As mentioned above, this term provides the most valuable information of the ASAXS experiment. It refers to the scattering intensity that would result from a system in which the macroion is totally matched. 

This contribution as a chapter in the special volume of ADVANCES IN QUANTUM CHEMISTRY on Confined Quantum Systems is focussed on (i) the hydrogen atom, (ii) confinement by conoidal boundaries, and (iii) semi-infinite spaces however, some of its discussions may extend their validity to other physical systems and to confinement in closed volumes. The limitations in the title are given as a point of reference, and also take into account that several of the other chapters deal with confinement in finite volumes. A semantic parenthesis is also appropriate and self-explanatory Compare conical curves (circles, ellipses, parabolas, hyperbolas and their radial asymptotes) with conoidal surfaces (spheres, spheroids, paraboloids, hyperboloids and their radial asymptotic cones). 

All points on a resonant invariant curve (circle) are r-multiple fixed points the point comes to the initial position after r rotations along the angle 2 on the 2-torus. (A i = 2irs and A 2 = 2ttv). It can be easily seen that the unperturbed mapping (73) can be obtained from the generating function... 

My first division is in terms of character strokes. The sigils have been divided according to the number of strokes (straight lines, curves, circles, and so on) which give them their distinctive forms. For example, the following three sigils are each different forms for MRHCUBY ... 

Figure 9.21. Long-time rate constant k 2 as a function of AG (in units of k T) for E = E" = 9k T, and several values of KxJk- T (numbers attached to the curves). Circles corresponds to an irreversible reaction with KXi/ksT= 10 . The cusp for strong coupling values is not a numerical error but the result of crossing of two lowest eigenvalue branches. (Reproduced from [309] with permission. Copyright (2001) by the American Institute of Physics.)...

Pig.28 Temperature dependence of the rate constant v of reaction j3Hb + CO. Solid line, theoretical curve circles, experimental results /185/. 

Indeed, as is seen in Fig. 3, under small pertubation of initial data near the major and minor axeSy the integral trajectory of the Euler equations remains a small closed curve (circle) and, therefore, the stationary solution K t) is stable. In the case of the mean axis, the small perturbation of the stationary solution makes the endpoint of the angular momentum vector K(t) move along a closed trajectory of "large diameter, as a result of which the vector K(t) quickly moves away from the mean ellipsoid axis (Fig. 3). 

Fig. S6. Magnetization of UCO oSi2 veisus magnetic field at 4.2 K (upper curve) and 300K (lower curve). Circles correspond to increasing and crosses to decreasing magnetic field (Baian et al. 1990).

Fig. 1-24 Molecular weight distribution curve (circles) determined by GPC compared to theoretical (solid curve) [33,34].

Fig. 8 Left schematic of the model to explain the negative cantilever inchnation, and range of action of the forces involved. Right experimental evaporation curve (circles), calculated curve assuming CCR evaporation (solid line), and calculated surface stress (dashed line)...

FIG. 21 Experimental data for the nucleation of ethene from cyclohexane, plotted according to Eq. (6). The upper data (squares) are for stainless steel, while the lower curve (circles) is for Pyrex glass. The contact angles are roughly 25° and 5°, respectively. 

Fig. 37. Molar specific heat of a dilute RKKY-coupled spin-glass obtained by Walker and Walstedt (1977) by numerical simulations (solid curve). Circles are data for CuMa 1.2% spin glass from Wenger and Keesom (1976).

Fig. 7.3 DOSs at the Fermi level N Ef) and magnetic moments p for 3d impurities (right) and 4d impurities (left) in TiC (solid curve), VC (chain curve) and ScC (dashed curve). Circles denote the values of N Ef) for 3d atoms in TiC determined by spin-restricted calculations of the TiC-M system.

Fig. 1.11 Compressibility factor z plotted vs. volume fraction, for self- and mutually-avoiding walks on the simple cubic lattice, and two chain lengths N = 20 (filled symbols) or = 40 (open s3nmbols), respectively. The Flory theory is shown as a dash-dotted curve, Flory-Huggins theory as broken curve, and the Bawendi-Freed theory as full curve. Circles represent data obtained from the repulsive wall method, while squares or diamonds are obtained from the test-chain insertion method. (From Hertanto and Dickman. )...

Figure 3. Left laser-intensity dependence of the 77K absorbance changes at 680 nm (upper curve, squares) and 670 nm (lower curve, circles) in CP47-RC complexes (see Fig.2, full line). The number of 1.0 photons on the x-axis was calculated to correspond to 0.4 photons per chlorophyll. Right la.ser flash induced absorbance changes at 77K in CP47-RC complexes at 680 nm (lower curve) and at 690 nm (upper curve). The trace at 690 nm was multiplied by live. The recordings are the average of 16 (680 nm) and 80 (690 nm) experiments.

In Figure 39 we present the same results as shown in Figure 38 but as a function of the product kdC,. The lower bound reliability regions for the exact curves (circles) according to Eq. [325], which also roughly match those for the approximate curves (solid lines), are shown by arrows. The upper bound regions of Eq. [327] are not indicated since as KdQ approaches unity, data based on Eq. [152] become invalid. 

Figure 58 A binary polymer brush layer on a silicon wafer was prepared from rubbery poly(methyl acrylate) (PMA) and glassy poly (styrene-co-2,3,4,5,6-pentafluorostyrene) (PSF) using the grafting from approach. A series of force-distance curves were collected before and after the experiments to confirm the deformation was elastic, (a) The experimental loading curve (circles), fitting with the trilayered model (solid line, almost completely buried by experimental data points) and Hertzian model (dashed line), (b) Experimental depth distribution of the elastic modulus for the polymer brush layer (circles) and the best fitting with the trilayered model (solid line) showing slight increase in the elastic modulus near the surface and sharp increase in proximity to a stiff substrate. Reprinted with permission from Kovalev, A. Shulha, H. Lemieux, M. et al. J. Mater. Res. 2004,19,716. Copyright 2005 Materials Research Society.

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