Representative graphs

FIGURE 8.6 pH titration of PHSS signal. A representative graph of pH titration in PBS at 37°C demonstrates that the sulfide species detected is H2S and that the pK for H2S/HS is approximately 6.8 under the conditions tested (after [41]). 

FIGURE 5. Representative graphs Q for an independent electron model based on Unear combinations of two-centre ir-orbitals nIL. Examples 1,3-butadiene 2, f3 )-hexa-1,3,5-triene 161, heptafulvene and... 

Fig. 3. Quantification of spheroid-based migration highiighting the different migratory properties of CAL and CAL ceiis on two different ECM coatings. Representative graphs showing quantification of CAL and CAL ceii migration on (a) geiatin and (b) iaminin, at 0, 24, and 48 h. Data are mean SD of repiicate spheroids (/ =6).

In Tables 3 and 4 we present all the classes for A/ = 1,2,3, and 4. Their number is equal to 1 3,14, and 99. respectively. Each class is illustrated by the corresponding representative graph with the smallest N that preserves its basic topology. More details concerning the procedure for KG generation will be reported elsewhere. ... 

Figure 1 A representative graph showing the adsorption of wfAFP (25 pM, solid line) and PVP (25 juM, dotted line) on the Si02 surface at 299.0 K. Frequency shift (f) and dissipation factor (D) vs. time.

Figures 25 to 27 correspond to the set of ethereal odor molecules. As before, the elements of the set are divided into two classes. In figure 25 a Kruskal tree [2.c], computed from euclidean distances of the overlap similarity measure, is drawn. We can see that elements with low odor intensity are terminal branches of the tree. Figures 26 and 27 represent graphs computed using a nearest neighbor algorithm [2.e] from the overlap similarity measure matrix and a minimal order algorithm [2.e] obtained from the Coulomb similarity measure matrix, respectively. In both cases we can observe that elements in the same class have preference to link.

Aqueous viscoelastic surfactant solutions for hair and skin care are disclosed in U.S. Patent 5,965,502. Rheology conditions are specified for optimum flow behavior, in terms of the shear modulus as a function of temperature and pH. A representative graph of the storage and loss modulus as a function of angular frequency is presented in the patent and this is shown in Figure 4.8. Cited compositions contain anionic, betainic, and nonionic surfactants, electrolytes, and a water-soluble polymer. A nonionic gel personal cleanser is specified in U.S. Patent... 

Any edge (s, t) may be thought of as a superposition of two oppositely directed arcs (s,f) and (t,s). Consequently, we may exclude in general the simultaneous occurrence of ordered and unordered vertex pairs in one graph. This exclusion does not affect the variety of types of graphs. The family of representative graphs of polymers (see Section 14) represents an exception to this rule. 

Square matrices in which the elements Ajk and Akj are either equal and real, or form a pair of complex amjugate numbers, Ajk A%j are called Hermiiian matrices. For such matrices all the eigeni ues axe real numbers. In general, the adjacency matrix is a real matrix aU elements of A are real. However, the adjacency matrices of the representative graphs of polymers are nonreal but Hermitian (see Section 14). 

In representative graphs of regular polymers the monomer unit is depicted by a simple graph, and the bonds between adjacent monomer imits are indicated by arcs which are weighted by conjugate complex numbers. The characteristic pdynomial of the representative graph, and the Bloch type crystal orbital description of the polymer, are equivalent. 

FIGURE 8.4 PHSS polarogram. A representative graph of PHSS current obtained for separate 20 pM sulfide samples as a function of polarizing voltage under anoxic conditions. Signal was stable between 100 and 200mV as the ferricyanide to ferrocyanide ratio remained near unity (after [41]). 

Fig. 7.24 Representative graph from a single slash resistance test.

Figure 16.14 Tumor uptake and gene silencing efflciency of star polymer-siRNA complexes in vivo. (A) Confocal microscope images of H460-GFP tumor tissue from mice 24 h postintratumoral injection with Alexa Fluor-647-labeled siRNA alone (20 pg) (control) or when complexed to the star polymer [(siRNA, red) and nuclear (DNA, i/we)]. (B) A representative graph demonstrating GFP mRNA levels in H460-GFP tumor tissue from mice 48 h postintratumoral injection with GFP siRNA (20 pg) complexed to the star pol54ner.

Time Series Techniques analyze sales data to detect historical sales patterns and construct a representative graph or formula to project sales into the future. Time series techniques used in association with new product forecasting include ... 

Fig. 6.5. Representative graphs of Wd rj)/jiitP from (6.8) and W,j ri)/from (6.13) versus r]/b for a case where the strained film thickness h is exactly the critical thickness her- The dashed curve represents the sum of these two energies, and the dislocation position r = her is evidently the only possible equilibrium position in the closed system. For purposes of illustration, the plot is drawn for t-f = 1/4, To = 6/2, = 0, 63. = by and = 0.005.

This results in a typical discharge current which slowly decreases from some high initial value while the battery voltage recovers from an initial drop of perhaps 50% or more, back toward 1.2-V per cell, the effective zero load voltage. A representative graph of the battery-starter voltage and current, expressed as a function of time is shown in Fig. 27.8. 

The size of the conjugate was measured by DLS and was found to be in the size range 100-150 nm. A representative graph of the distribution profile has been shown in (Fig. 51). The conjugate was stable in aqueous media and can be lyophilized and stored. The formation of a nano-conjugate was evident from TEM (Fig. 52). The size and surface hydrophilicity are crucial factors in drug targeting. 

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