Clustering cluster cardinalities

Dunning s correlation consistent basis sets cc-pVAZ [27] augmented with diffuse functions [28] were used in the calculations. We considered cardinal numbers X—D, T, Q, 5, 6 and single (s), double (d), triple (t), and quadruple (q) augmentations. The orbitals were not allowed to relax in the coupled cluster response calculations. 

The cardinal features of PTSD include initial exposure to a traumatic event, with the subsequent development of three symptom clusters reexperiencing of the trauma, avoidance behavior, and hyperarousal. The DSM-IV (American Psychiatric Association, 1994) criteria state that the A-criterion for PTSD, traumatic exposure, involves experiencing, witnessing, or being confronted with an event that is life threatening or involves serious threat or injury to oneself or others. 

Here, all 517 genes are reported in 13 clusters. In comparison with previously reported results, it is observed that the average expression profiles of the clusters are similar to the previously reported average expression profile of the clusters. On the other hand, if one adds the cardinalities of previously reported clusters (Iyer et al, 1999), it comes out to be 462. Thus, there are 55 missing genes in previously reported 10 clusters (A-J, Iyer et al, 1999). However, in the present case, the number of clusters can be reduced from 13 by using correlation coefficients... 

For the calculation of dipole moments, the aug-cc-pVXZ basis sets should be used for a flexible description of the outer valence region. In general, however, the quality of the calculations depends more on the correlation treatment than on the cardinal number, the aug-cc-pVTZ basis being sufficient for most applications. Whereas the Hartree-Fock model is typically in error by 0.1-0.2 D, the introduction of correlation at the MP2 and CCSD levels reduces the errors to about 0.05 and 0.04 D, respectively. The CX SD(T) errors are small - typically smaller than 0.01 D. At the coupled-cluster level, the dipole moment usually increases with the cardinal number at the Hartree-Fock level, the change is typically in the opposite direction but small. 

Figure 6. Theoretical dependence of the coupling constants on P for compound 3 The experimental values appear clustered in the 5-hemisphere and the arrow indicates the direction of change with increasing temperature. The values of P for the four cardinal points are indicated with a star ( ) in each of the curves with puckering amplitudes of 30, 33, and 36. ...

Definition 7.2.1 An operation cluster C of an instance operation set O is the maximal subset of vertices in O that is strongly connected, i.e. there exists a directed path between every pair of vertices in the operation cluster. C denotes the cardinality of C. 

We make the following assumptions. First, the cardinality of the operation cluster must be greater than one ( C > 1), since othowise the ordering is trivial. Second, each vertex Cj C must either be a data-dependent delay operation (i.e. anchor) or have non-zero fixed execution delay, i.e. (c ) > 0. Note that registers have already been introduced prior to conflict resolution to latch the outputs of the shared resource. For example, the execution delay for shared calls to a combinational adder is 1 cycle because of the latching delay. 

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