X limit

BIN(X) Limits the variable or attribute X to a binary integer value... 

One of the possible reasons for slow relaxations are bifurcations (explosions) of co-limit sets. It is useful to study the dependence of a>(x, )-limit sets on the parameters and initial data. (As usual, we study the dependences only on the parameters.)... 

Dimensionality reduction or data compression is possible with principal component analysis because of correlations between measurement variables. Consider Figure 9.1, which shows a plot of 15 samples in a two-dimensional space. The coordinate axes of this measurement space are defined by the variables xr and x2. Both x, and x2 are correlated, since fixing the value of x, limits the range of values possible for x2. If x, and x2 were uncorrelated, the enclosed rectangle shown in Figure 9.1 would be completely filled by the data points. Because of this correlative relationship, the data points occupy only a fraction of the measurement space. 

Because the magnitude of the correlation function in the short X limit is inversely proportional to the concentration of fluorophores, FCS can be used to follow changes in concentration. The diffusion time Xd yields the translational diffusion coefficient. If the fluorophore undergoes intramolecular dynamics or photophysical processes, then Equation 15 must be modified accordingly (27). Analysis of the autocorrelation with a modified fitting function can then provide dynamic information about these processes. 

STEPIT requires as input, initial parameter values (X), limits on their maximum (XMAX) and minimum (XMIN) size, initial increments to be used for varying parameter values (DELTAX), the accuracy desired for each variable (DELMIN), the number of parameters to be evaluated (NV) and various control constants (MASK, NTRACE, MATRIX). These are provided by use of a BLOCK DATA subroutine, an example of which is provided as Program D. 

The lower x0 and the upper x limits exist for the set of relaxation times x. Therefore, in accordance with the fractal model, the set of relaxation times x satisfies the self-similarity criterion and is bounded by the lower and upper asymptotic limits. 

Giridotti CV, Sassi FP, Blencoe JG, Selverstone J (1994a) The paragonite-muscovite solvus. I. P-T-X limits derived from the Na-K compositiorts of rratural, quasibinary paragonite-muscovite pairs. Geochim Cosmochim Acta 58 2269-2275... 

Lower CO2 to recommended levels. Maintain air circulation, temp, and humidity at recommended levels. See Chap. X. Limit exposure of mushrooms to such chemicals. 

Solid-state cells for operation at ambient temperatures are mentioned for comparison with the wet cells. The low conductivities of fast solid ion conductors at ambient temperatures, cf. LijN and Lil (Table X) limit their use to fields where low discharge currents can be tolerated, e.g. batteries for cardiac pacemakers. 

Figure 4 shows a curve approaching a normal distribution for a similar item, bur for complex reasons the distribution of values shows a definite deviation from the ideal curve, in other words, the curve is skewed to the right (the direction in which the excess tail appears). However, in either case, the major poition of the area under the curve is covered within the 2 [Pg.214]

Figure 3. Comparison of double-minimum potentials V(fi) for the D — limit at i2 = 5 evaluated without (full curve) and with (dotted curve) rescaled time transformation.

X Limits on how much or the types of things your drivers are allowed to lift ... 

The resulting plot is shown in Fig. VI. 12. At the high X limit (X/ o Na, corresponding to full elongation) the energy rises sharply above the value in eq. (VI.71). We have incorporated this extra feature in the figure. At the other end (X < 1) the elastic energy is of order X, while the Kramers term is - st X we have also included these features. 

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