Directives defined

The two directions called principal directions could be found at every point of the mid-surface, which satisfy the following property. Orthogonal sections of the mid-surface along these directions define the principal curvatures ki, k2 of the surface. By that, the curvature lines could be defined on the mid-surface with tangents to them coinciding with the principal directions. Let a and / be parameters such that the coordinate net a = const, / = const on the mid-surface is orthogonal, and it coincides with the curvature lines. Then a position of every point x located at the mid-surface is defined by the parameters a, (3 ... 

European Regulations. Regulations for cosmetics differ from country to country but, in general, are similar to or patterned after U.S. regulation. Thus, the identification of a cosmetic in the European Community differs only marginally from that in the United States. A 1991 European Economic Community (EEC) directive defines a cosmetic as ... 

When an impacting particle transfers energy to a near sinface carbon atom in an amount sufficient to overcome the lattice bond energy or surface binding energy, some carbon atoms may be displaced and move in a direction defined by the angle... 

EEC Directive defining the detailed aiTangements for the system of specific information relating to... 

The form of the Plmn will be discussed later, because it is instructive to develop the argument by considering next the information which is obtained from any spectroscopic technique. Figure 2a shows a direction within a unit of structure which is defined by the polar and azimuthal angles (, r ). For example, this could be the direction defining the change in dipole moment (the transition moment vector) in an infra-red spectroscopic measurement. The spectroscopic measurements provide... 

As the density of a gas increases, free rotation of the molecules is gradually transformed into rotational diffusion of the molecular orientation. After unfreezing , rotational motion in molecular crystals also transforms into rotational diffusion. Although a phenomenological description of rotational diffusion with the Debye theory [1] is universal, the gas-like and solid-like mechanisms are different in essence. In a dense gas the change of molecular orientation results from a sequence of short free rotations interrupted by collisions [2], In contrast, reorientation in solids results from jumps between various directions defined by a crystal structure, and in these orientational sites libration occurs during intervals between jumps. We consider these mechanisms to be competing models of molecular rotation in liquids. The only way to discriminate between them is to compare the theory with experiment, which is mainly spectroscopic. 

EEC Directive defining the detailed arrangements for the system of specific information relating to dangerous preparations with respect to the implementation of 88/379/EEC 91/157/EEC Directive on batteries and accumulators... 

The mesophases of calamitic mesogens are classified in two groups nematic and smectic. The nematic mesophase (N) is characterized by an orientational order of the molecules that are aligned along a preferred direction (defined by a director n) (Figure 8.2). The molecules can slide and move in the nematic mesophase (while roughly keeping their molecular orientation) and rotate around their main axis. This is the less ordered mesophase and it is usually very fluid. 

When put into an appropriate model [N0rskov et al., 2004], the binding energy correlations directly define a limit to t/o on the metals obeying the linear relations shown in Fig. 3.7. Since all intermediates are dependent on Eq, it is possible to plot the heights of all the steps AGi 4 as functions of Eq at zero potential. The step with the smallest free energy change wUl define I/ork (Fig. 3.8) ... 

FIGURE 4.6 Perpendicular versus bimodal cavities. The left hand set is from Bruker (ER 4102 ST and ER 4116 DM) and the right hand set is from Varian (E-231 and E-236) the latter look slightly more battered after three decades of service. Within each set the left hand resonator is the regular one (perpendicular mode) and the right hand resonator is the bimodal one (perpendicular and parallel mode). Note the increase in size for the bimodal cavities in the b-direction (defined in Figure 2.5). 

Average Values. A major issue is how to cope with the normal variation in the composition of raw materials. The directive defines an average value as the value which best represents the amount of the nutrient which a given food contains and reflects allowances for seasonal variability, patterns of consumption and other factors which may cause the actual value to vary . 

Nutritional Claims. The directive defines a nutritional claim... 

On the basis of crystallochemistry consideration and taking into account electron microscopy observations of the surface of crystals upon which some polymer was formed,99 Arlman and Cossee13 concluded that the active sites are located on crystal surfaces different from the basal (001) ones. In particular, these authors considered in detail active sites located on crystal surfaces parallel in the direction a — b of the unit cell defined as in Ref. 98. Figure 1.13 illustrates that, if we cut a TiCl3 layer parallel to the direction defined above, which corresponds to the line connecting two bridged Ti atoms, electroneutrality conditions impose that each Ti atom at the surface of the cut be bonded... 

Strictly speaking, all steps in the model (72) have a quantum mechanical nature. The measured rate is determined by the relative values of the kinetic parameters and a number of situations can be envisaged. The rate limiting step for the forward direction, defined from left to the right in Eq.(72), may be located at any level depending of course on the nature of the species. There is, however, a necessary and sufficient condition for the process to occur. This is related to the relaxation time of ASC into quantum states of P1-P2. This relaxation time must be finite. 

The geometry about a ligand nitrogen coordinated to a metal ion is assumed to be planar with bond directions defined in Fig. 28. The hybridizations of the nitrogen orbitals for different angles between the bonds in the plane can be written as ... 

The role of biocomponents in traffic fuel is increasing. The European Union Directive [1] on the promotion of the use of biofuels for transport purposes states that by the end 2005 traffic fuels should have contained 2% of components produced from renewables. The figure rises to 5.75% by the end of 2010 and up to 20% by the end of 2020. This directive defines biofuel as a liquid or gaseous fuel for transport produced from biomass, biodiesel as a methyl ester produced from vegetable or animal oil, of diesel quality, to be used as biofuel and synthetic biofuel as synthetic hydrocarbons or mixtures of synthetic hydrocarbons, which have been produced from biomass. The European Commission also encourages member states to lower tax rates on pure and/or blended biofuels, to the offset cost premium over petroleum-based fuels [1, 2]. 

From the rate law of this reaction in the forward direction, defined in terms of... 

Thus, a new object x, is classified by calculating the discriminant score v, (projection on the direction defined by the decision vector)... 

In a microscope, standard polarized epi-illumination cannot distinguish order from disorder in the polar direction (defined as the optical axis) because epi-illumination is polarized transverse to the optical axis and observation is along the optical axis at 180°. However, microscope TIR illumination can be partially polarized in the optical axis direction (the z-direction of Section 7.2) and can thereby detect order in the polar angle direction. Timbs and Thompson(102) used this feature to confirm that the popular lipid probe 3,3 -dioctadecylindocarbocyanine (dil) resides in a supported lipid monolayer with its dipoles parallel to the membrane surface, but labeled antibodies bound to the membrane exhibit totally random orientations. 

Nevertheless, this technique has a main disadvantage the minimum size of the diffracted area, which is selected by means of the selected-area aperture, is about 500 nm. It becomes difficult to prevent some thickness variations and/or some orientation variations in the diffracted area. The SAED patterns are, in fact, average patterns and the diffracted intensities can be strongly affected. For that reason, it is recommended to use Microdiffraction or CBED because the diffracted area is directly defined by the incident beam and can reach a few nanometers with recent microscopes. 

In each 2 1 mixed layer, the upper tetrahedral sheet is translated by a/3 with respect to the lower one, thus creating the octahedral oxygen coordination around the cations of the intermediate sheet. Translation may occur along any positive or negative direction defined by structural axes Xj, X2, and X3 of a pseudohexagonal lattice, as shown in figure 5.43. 

NURE geochemical samples were not collected over the concealed Pebble deposit making it difficult to directly define the mineralization signature in the regional geochemical database. New pending pond sediment data will help rectify this. 

We can now repeat this procedure to generate a second iterate. This time, we want to search along a direction defined by the gradient of E(x) evaluated at Xi V (xi) = ( y,f). The point of defining the details of this equation is to highlight the following observation ... 

We can now qualitatively describe the conjugate-gradient method for minimizing a general function, E(x), where x is an /V-dimensional vector. We begin with an initial estimate, xo. Our first iterate is chosen to lie along the direction defined by do = V (xo), so xi = xo a0do- Unlike the simple example... 

This solution means that any displacement away from the transition state along the direction defined by e3 will grow exponentially with time, unlike the situation for normal modes with real frequencies, which correspond to sinsusoidal oscillations. In more straightforward terms, the transition state is a point on the potential energy surface that is a minimum in all directions but one. At... 

It follows from Eq. (1.19) that a crystal scatters with an amplitude proportional to F Punit ceil(r) n directions defined by the scattering vectors... 

The mean-square displacement of an atom in a direction defined by the unit vector v is given by... 

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