Congruent factors

For both coordinated and congruent control, the pH depends upon the phosphate concentration and the sodium to phosphate ratio. Generally, however, phosphates are unsuitable for use at boiler pressures above 100 bar as their low solubility and high concentration factors developed lead to corrosive conditions. 

Just as the spectral and concentration data points are exactly congruent with each other within the planes containing the data points, the spectral and concentration eigenvectors for this noise-free, perfectly linear case must also be exactly congruent. Because the vectors are congruent, the projection of each spectral data point onto a spectral factor must be directly proportional to the projection of the corresponding concentration data point onto the corresponding concentration factor ... 

As for spatial causative factors, however, there is little or no evidence that any special form of spatial format or spatially congruent feedback is a necessary condition for the primary elaboration of codes for order. With humans subjects, of course, all one can say is that the experimental tasks have eliminated conventionalized forms of spatial support. Yet spatially derived devices could well be imported by the subject and used in the mind s eye. With our simian subjects, ignorant of social and cultural conventions that utilize spatial layouts, this contention is difficult to sustain. The basis for such organization in all primates, we would contend, is temporal in nature, and can be tracked through the trajectories for private individual knowledge growth in evolution and development. 

If the fractal consists of k congruent sub-pieces that can be made equal to the whole fractal by stretching with the magnification factor m, then the dimension d of the set is given by (2.3.8). Also, from m and k we can calculate the decay rate. The fraction of probabihty remaining in every application of the fractal generating mapping is k/m. Since Pb j ) = k/m) = exp[—nln(m/A )], we get the decay rate... 

Blum integers and Williams integers are often used, too. Because of Dirichlet s prime-number theorem, asymptotically about half of all prime numbers are congruent to 3 mod 4, and among these, about half are congruent to 3 mod 8. Hence the factoring assumption made above is a consequence of one for arbitrary numbers with two prime factors. 

The epitopes recognized by Hawkes family of monoclonal antibodies known as the anti-Zebrins are localized on Purkinje cells (see Section 3.1.8.). Zonal patterns that are identical or very similar to Zebrin I and II have been described for the distribution of 5 -nucleotidase (see above), the p75 low affinity nerve growth factor receptor protein in the rat (Section 3.1.10., Fig. 38), protein kinase C delta (Fig. 133) (see Section 3.1.5.) and the B30 antibody of Stainier and Gilbert (1989) (see Section 3.1.8.). Immunoreactiv-ity in mouse Purkinje cells for an antibody against HNK is partially congruent with the Zebrin negative Purkinje cells, but Zebrin+/HNK-l- Purkinje cells also exist (Hawkes, 1992 Eisenman and Hawkes, 1993). The similarity between the Zebrin pattern and the transient zonal patterns in the development of the Purkinje cell specific marker L7 is discussed in Section 6.2. 

There is excellent agreement between the concentration ( xg/gm ash) profiles of the two cores, with the exception of two Cu points near 10 cm. In the case of Mn, the two profiles are practically congruent. Within a given core the Mn concentrations vary over a factor of about 2, but the detailed agreement between the two cores indicates the variation is real and laterally extensive on a scale of at least meters. 

The partial rate factors for phenylation (50) are much more congruent with the PMO.F calculations, as demonstrated by the plot of the data from Table III given in Figure 4. The correlation coefficient is 0.985, and the average deviation of a partial rate factor calculated from the regression line is only 0.10, which corresponds to an actual rate ratio of 1.25. The other pencil-and-paper procedures also give improved results when compared with the abstraction case. Correlation coefficients of resonance energy differences calculated by VBSRT and the HMO method with the log of the relative rate are both 0.961. 

Table 3.1 Factors of the Arrhenius A parameter for congruent dissociative vaporization in a vacuum... 

To each lattice complex of A occupied by atoms, ions, rotating groups (or groups of preferred directions that are distributed randomly according to symmetry conditions) exists a congruent lattice complex of B vdiich is occupied by atoms, ions or groups with equal (or nearly equal ) occupation factor. 

It is possible to amplify the highest peaks in both analog spectra or to multiply the digital data by a factor that allows at least two signals to be congruent. Then the possible deviations can be observed on the monitor or after plotting them out. 

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