Vertices marking

A visual analog scale can be used for sleepiness, and is similar to what is commonly used in the assessment of pain. It typically uses a horizontal line (e.g., 10 cm), on which subjects can draw a vertical mark indicating their degree of alertness or sleepiness. In theory this provides a continuous measure, rather than a discrete integer. This is probably overly simplistic to measure a multidimensional and complex phenomenon like sleepiness. It does not add much to simple history taking, and is overall rarely used (3,4). 

A horizontal line is drawn along the center of the 155 x 800 mm specimen and vertical marks are made on the line at 25 mm intervals. A marked specimen backed by a ceramic fiber insulation board is mounted in the specimen holder. The holder is inserted when the panel reaches equilibrium and the heat flux at the 50 mm position is at the desired level. After preheating to steady conditions (see Equation 14.5 and subsequent discussion), the specimen is ignited at the hot end... 

Fig. 20. The high resolution X-ray photoelectron spectrum of the 4/ shell of Sm metal. With the atom initially in the Hund s Rule 4/5 ground state, the vertical marks indicate the relative intensities and positions of accessible final 4/4 levels, as predicted by Cox. Ref. (36)...

Soymilk samples were evaluated for odour by a panel composed of 17-20 untrained members. Panelists were asked to evaluate the samples for beany odour on an unstructured 10 cm scale ranging from "no perceptible odour" (0) to "extreme odour" (10) by placing a vertical mark on the line at a point chosen to reflect their opinion of the sample. Data were recorded as the distance from the left hand, 0 end, of the scale to the vertical mark. 

Figure 9. Normalized distributions of pair interaction energies among water molecules a hydrogen bond is defined by < —3 kcal/mol, indicated by the vertical mark on the abscissa (a) alt pairs in the system (b) one of the pair in the nonpolar class (c) one of the pair in the polar class. Each curve is integrally normalized to unity.

Place Caesar s 5 7 8 triangle on the circle so the apex of the 7 and 8-sides meet at the centre of the circle and the 8-side is vertical. Mark the point on the circle at the apex of the 5 and... 

RBS spectra of the initial rubber (1) and a sample upon which the Mo coating was deposited and also irradiated with 3 keV Mo+ ions (2) are shown in Fig. 1. Vertical marks indicate the position of signals from identified elements entering into rubber composition and into the surface of the coating/rubber construction. 

Fig. 4-2 Pressure dependence of unimolecular rate constants for CH3NC log y versus log P at 199.4, 230.4, and 259.8". For clarity the 260° curve is arbitrarily displaced by one log P unit to the left in the figure while the 200° curve is displaced the same distance to the right actually, both these curves would almost coincide with the 230° curve. Vertical marks have been placed under the 200° high-pressure points to assist in distinguishing them from the 230° data. The curves represent the calculated results, adjusted on the pressure axis to coincide with the experimental points at log /exp/ x = 1- [Adapted from F. W. Schneider and B. S. Rabinovitch, J. Am. Chem. Soc. 84, 4215 (1962), Fig. 1. Copyright 1962 by the American Chemical Society. Reproduced by permission of the copyright owner.]...

Figure 1 Quantitative phase analysis of a polycrystalline mixture containing three phases performed by the Rietveld method. Selected portions of the observed (crosses) and calculated (solid line) X-ray powder diffraction patterns are shown. The vertical marks indicate the position of the single Bragg peaks.

Fig. 8. The emission a and the excitation spectrum b associated with the - Eg transition for MnFj doped in Cs2SiF with a crystal temperature of 10 K (7. The spectrum of a the lower, and b, the higher energy side of the zero-phonon line at 16028 cm", are displayed to facilitate the comparison. The vertical marks indicate very weak features considered to be associated with pair transitions...

This means we consider Hilb (X) as a variety of triangles with a side and the opposing vertex marked. Let... 

For example, if we take the ternary quadratic B-spline, whose mask is [1,3,6,7,6,3,1], the submatrices for the mid-edge and vertex mark points are... 

Figure 9. Predicted resolving power for CMOS equipped with the gratings described in Table 1 and slit width 0,5 arcsec. Those prefixed by X are hypothetical immersed gratings with prism vertex angle, (j>, given in the Table 1. The dots mark the nominal blaze condition. The box marks the requirements for measuring the velocity dispersion of dSph galaxies using the Calcium triplet.

We can view Hilb (X) as the variety of complete triangles on X with a marked vertex (or equivalently with a marked side). The projection... 

The evolution of a new set of electrochemical waves (as opposed to the gradual shifting of the redox couple) on addition of guest species may be due to a number of factors. If the complex formed has a particularly high stability constant and has a redox potential which is markedly different from that of the free ligand, a new set of waves may be observed. However, if the decomplexation kinetics of the complex formed is particularly slow on the electrochemical time scale then, as the potential is scanned between the vertex points during a cyclic voltammetric experiment, the solution complexed species will be stable over this time period and the two sets of waves will correspond to free ligand and complex. Therefore care should be taken to determine the cause of the evolution of a new set of electrochemical waves and... 

As discussed by Kirkpatrick [30], T( ) can be replaced by T( m) since there is a marked softening near this wavenumber. The maximum contribution from Eq. (225) in the long time comes when both the dynamic structure factors are evaluated near qm. The Gaussian part of the dynamic structure factor can also be neglected in the asymptotic limit. Thus the long-time part of the memory function now contains the vertex function and a bilinear product of the dynamic structure factors, all evaluated at or near qm. To make the analysis simpler, the wavenumber dependence of all the quantities are not written explicitly. 

The sum of all diagrams with a marked vertex yields - u(>(p(r))y = — uqc2, where the factor 1/2 takes into account the symmetry of the vertex. Equation (5.31) results ... 

The diagram in Fig. 1 is drawn in such a manner that the lines leaving the vertex (which is marked by a dot) correspond to creation operators, and the entering lines to annihilation operators. The dashed line connecting the vertices shall be called the interaction line. This line stands for the two-electron potential l/r,y. Then we can schematically rewrite Eq. (74) in the form... 

Hilb (X) the zero-cycle ujn(Zn) — w -i(2 i) is [x] for some point x g X and res(Zn-i, Zn) — x. If we consider Hilb (X) as a variety of triangles with a marked side, then res maps such a triangle to the vertex opposite to the marked side. 

This morphism is birational, as its restriction gives an isomorphism from (Hilb ( ))(i,i,i) to a dense open subset of Zi(X). So pi3 Hilb (X) — Zs(X) is a canonical resolution of Z3(X). We can consider Z3(X) as the variety of triangles with a marked vertex. Then plt3 is given by forgetting the marked side. 

Figure 1. Sketch of an icelike cluster around a selected water molecule. In this structure, a molecule from a sublayer (dotted lines) of one layer (delimited with full lines) is connected via hydrogen bonds with three molecules of the other sublayer of the same layer (only two bonds are drawn in the picture it should be noted that the molecules drawn are not in the same plane) and with one water molecule from an adjacent layer. The first four neighbors are located at the vertexes of a tetrahedron. The projection of the position of the water molecules from one layer in the plane of the surface (denoted in the text as xy) is a hexagonal network. Each icelike cluster involves 26 molecules around the selected molecule (marked) they are located in three water layers a central and the two adjacent ones.

A corollary of the above results is that one should expect isotope effects in the quasiparticle spectrum measured in the pseudogap state, since once localized, the hot quasiparticles can become strongly coupled to the lattice. (When not localized, the coupling of the hot quasiparticles to phonons is markedly reduced by vertex corrections associated with their magnetic coupling.) Any coupling of cold quasiparticles to the lattice would be very much smaller. These conclusions appear consistent with the ARPES results reported by Lanzara at this workshop, ft leads me to predict that no isotope effect will be found for hot quasiparticles in overdoped materials. 

Scheme 1. Comparison of whole molecules to determine isomeric relationships. The question marks signify Superposition yes or no . The three tests are Syi —comparison by symmetry operations of the first kind (rotation, torsion) BG—comparison of bonding (connectivity) graphs vertex by vertex Syn—comparison by symmetry operations of the second kind (reflection).

Fig. 4. Adenovirus and bacteriophage PRDl. Top On the left, a density isosurface representation of adenovirus at 25-A resolution is shown. The 5-fold axis, occupied by the protein penton, is marked with a pentagon. A trimer of hexon is marked with a triangle close by arrays of hexon extend outward in all directions from the pentagonal vertex, forming the flat faces of the virus. On the right, a close-up of the 5-fold axis is shown (top) and below that a close-up of the hexon trimer with it crystal structure fitted (Athappilly et at, 1994 Stewart et al, 1991). Bottom The Susl mutant of PRDl is shown...

Step [11 Inscribe a square with a vertex down and mark its four points of intersection with the circle. 

The figure displays the 120-vertex equilateral regular orbit cage of Ih point symmetry. The locations of the poles of the rotational axes are marked on the projection and the vertices are divided into sets of decagons of different colours. The orbit cage is 3-valent, which means that there are 3 connections about each vertex contributing to the net of the structure. 

Figure 3 A plot of variation of ratio of the number of sites with different coordination number with total surface atoms, and overall coordination number (A"cubo-octahedron) as a function of particle size. The calculations are based on algorithms developed previously by Benfield (Ref. 35) based on cubo-octahedron cluster model. Therefore, N enex/Ng represents the ratio of the number of sites at the vertex position in the cluster to the total number of surface sites. The other ratios based on different cluster positions [such as Kink sites, (100) and (111)] are similarly marked.

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