Labels defined

Since all graphs in the same class are in this sense topologically equivalent, a representative member of each class, devoid of explicit vertex (or edge) labels, defines a unique unlabeled graph. Figure 2.3, for example, shows all of the undirected and unlabeled graphs of order 4. 

In general, a given numeric-symbolic interpreter will be used in the context of a locally constrained set of labels defining and limiting both the input variables and possible output interpretations. In this context, feature extraction is intended to produce the features that are resolved into the labels. The numeric-symbolic problem boundary is defined backward from the labels of interest so that feature extraction is associated only with the input requirements for a given approach to produce the relevant features needed to generate the label. The distinctions of relevant features and... 

Figure 1. Calculated values of AG, free energy of formation of a pit at a dislocation on a quartz surface at 300°C, plotted vs. pit radius, r. Labels defined in text. Adapted with permission from Ref. 16. Copyright 1986 Pergamon Press.

Archaebacterial rhodopsins may provide models for signal transduction and ion transport.62 Spin labels were attached to sensory rhodopsin (pSRII) and its transducer (pHTrll) from Natronobacterium pharaonis. Interspin distance determined by line-shape analysis including a Gaussian distribution of distances revealed a 2 2 complex with 2-fold symmetry. Distances for 26 pairs of spin labels defined the orientation of the TM helices of pHtrll relative to the F and G helices of pSRII.63 Light excitation causes a flap-like movement of helix F of NpSRII that induces a rotary motion of a helix in the transmembrane domain of the transducer.62... 

Figure 4- Diffusion coefficients for various molecules on NaX and NaY. (see Table I.) The represent the very reliable point derived from Ti at the minimum. H20 data are from the magnetic field gradient technique. The parameters beside the molecular labels define the fraction of maximum loading 6...

Figure 6. Distribution of the API (dark) and CHA phases obtained in the AlPO-syntheses. Labelling defined as follows CH = cyclohexylamine,...

Draw a sketch of the system to be modeled and label/define the various geometric, physical and chemical quantities. 

This operation has been devised to label defined regions of the neuroepithelium and thus to study cell migrations and morphogenetic movements during brain development (4,16,17). It was also applied to the transfer of a genetic behavioral or functional trait from donor to recipient in either xenogeneic or... 

Eig. 11.4. The molecular orbitals of benzene and their electronic occupation in the ground state. The shading indicates the atomic orbital amplitudes on each site. The site labelling defines the particle-hole transformation rule, eqn (11.7). 

Fig. 11.5. The carbon sites in biphenyl. The bond labels define the hybridization integrals used in eqn (11.20). The torsion angle between adjacent phenylene rings is 30° in solution.

The Directions for Use on the product label defines the limitations of using the product with regard to application site and dosage. Even if the product meets FDA requirements for a specific application, but the product label does not list the application, the product cannot be used. There is also the possibility that a competitor may have the same chemical as a Nalco product, but the product labels are different. This is because the EPA approved the product labels which are product specific, but the FDA approved the chemical for the application. 

For the containers inside that outer packaging, each must be marked with a GHS-style label defined at 1910.1200(f)(1). Currently, OSHAdoes not regulate the outer shipping container based on a September 13,1993 Letter of Interpretation. However, employers must follow all applicable Department of Transportation Hazardous Materials labeling requirements. 

Conversion of the second-order diagram to the orbital expression can be done as follows. The lines with downward arrows are labelled by indices of occupied orbitals, while lines with upward arrows bear virtual labels. A set of labels defines a matrix element of W more precisely, an antisymmetrized integral [pq s r ]. Summation is performed over all indices. The diagram is understood to carry the overall sign, the relevant energy denominator, and a factor of 1/2" where n is the number of equivalent pairs of lines which enter/leave the same vertex. For the second-order diagram in Fig. 12.3, n is equal to 2, thus one has a factor of 1/4 which substitutes the summation restrictions p < q and r < s in Eq. (12.25). 

Fig. 11.10 From top to bottom oxygen, selenium and germanium partial bond angle distributions (PBAD) in Ge02 and GeSe2 for an arbitrary N = 6 [118]. The colored curves correspond to PBADs having the lowest standard deviation(s) ag. The sharp peaks at 0 40° correspond to the hard-core repulsion. Labels defined in the bottom panel are used throughout the text...

Probe a labeled, defined sequence used to search mixtures of nucleic acids for molecules containing a complementary sequence. The general structure of DNA and DNA hybridization is shown in Figure 1.5. 

Simulated 500 MHz proton NMR spectra of C2H3F. Top - ab initio, bottom - experimental values of shielding and spin-spin coupling constants. The labels define the position of the relevant proton with respect to the fluorine. The shielding constants and the F rmi contact contributions to the coupling constants were computed at the CCSD level, the other theoretical values are taken from Helgaker et al. (1997), where the experimental data were also discussed... 

To ensure that the spatial shifting is correct Lun et al. [102] introduced a new position vector without label, defined such that r = ri and r2 = r -F dn. After the new position vector was introduced in (4.15), an expression similar to (4.15) for the collisional rate of change of solid particle 2 was derived. To solve this task Lun et al. [102] did utilize the collision symmetry properties such that this relation is... 

The basis of this approach has been discussed by Edwards and many authors have used the formalism in a lot of different contexts, ue. spin glasses, " electron localization or glasses. For simplicity consider a purely entropic system. Suppose there is a constraint called y. This label defines a crosslink in the rubber problem by saying which monomer of which polymer chain is linked to another monomer of another chain. The number of configurations available when y applies is Q, giving the quenched entropy... 

The American National Standards Institute (ANSI) is the organization responsible for publishing the ANSI Z533 series of standards. The ANSI Z535-4 Standard, titled Product Safety Signs and Labels, defines the content for a safety label ... 

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