Sameness, meaning

A convenience of electronic basis functions (53) is that they reduce at infinitesimal-amplitude bending to (28) with the same meaning of the angle 9 we may employ these asymptotic forms in the computation of the matrix elements of the kinetic energy operator and in this way avoid the necessity of carrying out calculations of the derivatives of the electronic wave functions with respect to the nuclear coordinates. The electronic part of the Hamiltonian is represented in the basis (53) by... 

The +, —, e, and/labels attached to the levels in Figure 7.25 have the same meaning as those in Figure 6.24 showing rotational levels associated with and Ig vibrational levels of a linear polyatomic molecule. Flowever, just as in that case, they can be ignored for a Z — I, type of electronic transition. 

For combustible dusts, the explosibility limits do not have the same meaning as with flammable gases and flammable vapors, owing to the interaction between dust layers and suspended dust. This protective measure can, for example, be used when dust deposits are avoided in operating areas or in the air stream of clean air lines after filter installations WTiere in normal operation the lower explosibility limit is not reached. However, dust deposits must be anticipated with time. When these dust deposits are whirled up in the air, an explosion hazard can arise. Such a hazard can be avoided by regular cleaning. The dust can be extracted directly at its point of origin by suitable ventilation measures. 

The standard doesn t require a procedure for Management Review and while it does require procedures for Design Control it does not specify that a Design Review Procedure is required. The phrases consistent with and in accordance with have the same meaning as both imply compatibility and agreement. If you restrict yourself to a literal interpretation of the standard, you need produce no more than 43 documented procedures - possibly less if some aspects do not apply to your business. You can combine several procedures in one document, the size of which depends on the complexity of your business. The more complex the business the greater the number of quality system documents. The more variations in the ways that work is executed, the larger the quality system will need to be. If you have a small business and only one way of carry-... 

Permission granted by an acceptance authority to supply product or service that does not meet the prescribed requirements. (Note the term waiver is used in the USA and has the same meaning.)... 

FIG. 2 The equation of state for hard spheres, obtained from the HNC equation (part a) and the PY equation (part b). The dot-dashed and dotted curves and the circles have the same meaning as in Fig. 1. The solid curves give the results of the CS equation. 

The annotations g, m and r appended to some values in the final column have the same meanings as those in the definitive table (facing inside front cover). The numbers in parentheses are the uncertainties in the last digit of the quoted value. 

These units provide higher heat fluxes at the same mean temperature difference. 

The component parts are heated. The blade shape is laid out on the hub disc and tack welded, which ensures that the blade cannot be misaligned. The hub disc with the tack welded blades are placed on the automatic impeller welding machine and heated for welding. After the blades are completely welded to the hub disc, the cover disc is welded on by the same means. The completely welded impeller is then ready for annealing and finish machining. 

The definitions concerning figures will be followed by those on permutation groups. The terminology is suggestive. Symbols will have the same meaning throughout. 

Here, is an effective overlap parameter that characterizes the tunneling of chaiges from one site to the other (it has the same meaning as a in Eq. (14.60)). T0 is the characteristic temperature of the exponential distribution and a0 and Be are adjustable parameters connected to the percolation theory. Bc is the critical number of bonds reached at percolation onset. For a three-dimensional amorphous system, Bc rs 2.8. Note that the model predicts a power law dependence of the mobility with gate voltage. 

When the partial pressure of the water equals the vapor pressure, the gas above the liquid is said to be saturated. The word saturated has the same meaning as it did relative to solubility the gas phase contains as much water vapor as it can hold at equilibrium. 

The terms convulsion and seizure are often used interchangeably and basically have the same meaning. A seizure may be defined as a periodic attack of disturbed cerebral function. A seizure may also be described as an abnormal disturbance in the electrical activity in one or more areas of the brain. Seizures may be classified as partial (focal) or generalized. Each different type of seizure disorder is characterized by a specific pattern of events, as well as a different pattern of motor or sensory manifestation. 

Water, of viscosity 1 mN s/m2 flowing through the pipe at the same mean velocity gives rise to a pressure drop of I04 N/m2 compared with 105 N/m2 for the non-Newtonian fluid. What is the consistency ("k vaiuei of the non-Newtonian fluid ... 

In an octahedral crystal field, for example, these electron densities acquire different energies in exactly the same way as do those of the J-orbital densities. We find, therefore, that a free-ion D term splits into T2, and Eg terms in an octahedral environment. The symbols T2, and Eg have the same meanings as t2g and eg, discussed in Section 3.2, except that we use upper-case letters to indicate that, like their parent free-ion D term, they are generally many-electron wavefunctions. Of course we must remember that a term is properly described by both orbital- and spin-quantum numbers. So we more properly conclude that a free-ion term splits into -I- T 2gin octahedral symmetry. Notice that the crystal-field splitting has no effect upon the spin-degeneracy. This is because the crystal field is defined completely by its ordinary (x, y, z) spatial functionality the crystal field has no spin properties. 

Fig. 3. Steady state concentration profiles of catalyst and substrate species in the film and diffusion layer for for various cases of redox catalysis at polymer-modified electrodes. Explanation of layers see bottom case (S + E) f film d diffusion layer b bulk solution i, limiting current at the rotating disk electrode other symbols have the same meaning as in Fig. 2 (from ref.

Consider the scaleup of a small, tubular reactor in which diffusion of both mass and heat is important. As a practical matter, the same fluid, the same inlet temperature, and the same mean residence time will be used in the small and large reactors. Substitute fluids and cold-flow models are sometimes used to study the fluid mechanics of a reactor, but not the kinetics of the reaction. 

Example 14.6 derives a rather remarkable result. Here is a way of gradually shutting down a CSTR while keeping a constant outlet composition. The derivation applies to an arbitrary SI a and can be extended to include multiple reactions and adiabatic reactions. It is been experimentally verified for a polymerization. It can be generalized to shut down a train of CSTRs in series. The reason it works is that the material in the tank always experiences the same mean residence time and residence time distribution as existed during the original steady state. Hence, it is called constant RTD control. It will cease to work in a real vessel when the liquid level drops below the agitator. 

The parameter Z in Equation 17 is equivalent to the fractional activity at an infinite polymerization time. B and v can also be Interpreted in a similar way through Equation 18, where a has the same meaning as Z. 

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