Homogeneous redundancy

Every effort was made to remove redundancy and add homogeneity to the material in this multi-author volume. Indeed, the more authoritative level of discussion afforded by having specialists write each chapter will have hopefully overridden any rough edges that remain from chapter to chapter. Undoubtedly, many flaws remain for which we as editors are wholly responsible we would welcome feedback on these. 

Self-organizing Kohonen maps are a preferred method for visualization of these redundancies. Product-based library selection is a powerful tool to select fractions of a virtual library in order to complete a homogeneous covering of the chemical space. 

In this book, we shall only be interested in homogeneous and isotropic fluids. In such a case, there is a redundancy in specifying the full configuration of the pair of particles by 12 coordinates (X, X"). It is clear that for any configuration of the pair X, X", the correlation g(X, X ) is invariant to translation and rotation of the pair as a unit, keeping the relative configuration of one particle toward the other fixed. Therefore, we can reduce to six the number of independent variables necessary for the full description of the pair correlation function. For instance, we may choose the location of one particle at the origin of the coordinate system, R = 0, and fix its orientation, say, at (j) = O = t// = 0. Hence, the pair correlation function is a function only of the six variables X" = R", S2". 

Type I. For parallel reactions with separate reactants, the analysis is easily handled, since the two steps are independent of each other. Indeed, the inclusion of Type 1 as a nearly complex scheme is not really necessary for the homogeneous batch reactions at constant volume treated here, since the yield and selectivity definitions are redundant in this case with rate and conversion. The system is important in heterogeneous systems, however, so we introduce it for later reference. For first-order, irreversible reactions ... 

Ouzineb, M., Nourelfath, M., Gendreau, M., Tabu search for the redundancy allocation problem of homogenous series-parallel multi-state systems.ReliabEngSystSafety, 2008, 93(8), Pages 1257-1272. 

Now, if a static homogeneous magnetic field is applied in the direction of the Si chains, the NMR frequency will be the same for all nuclei in the structure. In order to differentiate nuclei by NMR frequency, over the homogeneous field is superimposed a field gradient dB/dz. With this, all nuclei in a given plane perpendicular to the static field will have the same NMR frequency, but nuclei in different planes will be distinguishable by frequency. Each atomic chain along the steps is equivalent to a molecule in the liquid-state NMR, and the number of chains corresponds to the redundancy in the conventional NMR QIR... 

Dual redundancy is homogenous (same processing unit and same application) but there are asymmetries temporal lag, additional data involving the use of additional Boolean operators. It should be noted that the dial indicator is not a hardware vote but a SCP carrying out a software vote. The binary input/output cards are of the same technology as those used in the SACEM context (intrinsic safety and SCP encoding management). 

There are three types of autopilot (PA), but they are all composed of two management units (UGx). The UG all have the same architecture but may differ on the means of acquiring inputs (the PASection uses ground interfaces for example) and the application software that is on board. The redundancy level of a PA is homogenous (same hardware and software). Both UG are active (acquisition and processing), but at time t only one unit is eapable of applying its output, this is sometimes referred to as a semi-active replieation. 

If problems persist and additional redundancies are suspected in the MCSCF wave fiuiction, these redundancies may be detected from (12.2.55) or by solution of the homogeneous linear equations (12.2.52). 

Experimental viscosity rje includes regular ( non-critical ) component r r, which is identified as the viscosity of homogeneous solution where viscosity is, in nature, is the resistance of medium to deformation, and redundant ( critical ) correction Aper, where viscosity is defined as a deformation energy dissipation on structural heterogeneities. The value of the eritical correction depends on the number and size of long - wave fluctuations, i.e. on the proximity of temperature and concentration modes of experiment to critical conditions, that such system is charaeterized by ... 

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