Active representation

Memory (recent) Diminished Because of aminergic demodulation, activated representations are not restored in memory... 

In the passive representation, symmetry operators act on the axes, and so on x y z, but leave configuration space fixed. Clearly, one should work entirely in one representation or the other here we shall work solely in the active representation, and we shall not use the passive representation. 

Figure 3.3. Rotation of configuration space, and therefore of all vectors in configuration space including ex e2 e3, through an angle about OZ (active representation).

The Euler angles have been defined in the literature in several different ways. We are (as is always the case in this book) using the active representation in which the whole of... 

Equation (6) verifies that under the rotation (7 0) the wave vector q is rotated into /x q, just as we might have anticipated in the active representation. The transformed function... 

The coupling terms and elastic energy terms must comply with standard symmetry rules, which require that each term in the free energy expansion transforms (in the group theoretical sense) as the identity representation, Lidentity- The order parameter, by definition, transforms as the active representation, Ractive- The rules for coupling terms are then as follows ... 

The 3n vibrational modes of the first order phonon spectra of titanite in the phases A2/a and Plja are described by the optical active representations... 

The important result of the representation analysis of magnetic structures is that the Fourier coefficients corresponding to a complete orbit of the site j are linear combinations of the so-called atomic basis functions of the relevant active representation. The expression of the Fourier coefficients is given by ... 

On generating CA, MCOO, and DCOO parameters, it was observed that solvent activity representation was generally improved, but except for nonane, predicted solvent activities were consistently low. This indicated an over influence of the Flory-Huggins term, and effective counts of 100 and 5.6 were used for the resin and nonane components in the final correlation. The reduction of the entropy contribution for the resin can be justified on the basis that orientative effects are operating the behavior of nonane is somewhat anomalous. 

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