A semiempirical molecular-orbital method (CAChe) was applied to delineate the relationship between the cytotoxicity (evaluated by 50% cytotoxic concentration, CC50) of thirteen 4-trifluoromethylimidazole derivatives and thirteen chemical descriptors derived by the CONFLEX/PM3 method. There was a highly significant relationship between CC50 and absolute electron negativity (chi). When the CC50 w...

Leucite is a major crystalline component of dental porcelains. The presence of tetragonal leucite in dental porcelains increases their coefficients of thermal expansion due to its high coefficient of thermal expansion (20-25 x 10(-6)/degrees C). This is particularly useful for those porcelains designed for bonding to precious metals and nickel alloys. The purpose of this study was to determine ...

In Part I, the MIPS method for calculating Fourier coefficients was introduced, and applied to functions / £ C(p>[0, 1]. In this part two extensions of the theory are described. One modification extends the theory to piecewise continuous functions, / £ PC(p'[0, 1]. Using these results the method may be used to calculate approximations to trigonometrical integrals (in which the length of the int...

We generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomials. First we calculate directly the moments of the density. Then, by studying some deformation of the moments, we get a family of differential equations of first order which the densities satisfy (see Theorem 1.2), a...

Based on a fundamental identity for stochastic hyperbolic-like operators, we derive in this paper a global Carleman estimate (with singular weight function) for stochastic wave equations. This leads to an observability estimate for stochastic wave equations with non-smooth lower order terms. Moreover, the observability constant is estimated by an explicit function of the norm of the involved co...

We investigate weighted gcd-sum functions, including the alternating gcd-sum function and those having as weights the binomial coefficients and values of the Gamma function. We also consider the alternating lcm-sum function.

To clarify the differences between commercially available compounds, clinical candidates, and launched drugs with regard to distribution of physicochemical properties and to characterize the correlation between physicochemical properties, we conducted analyses on physicochemical descriptors of commercially available compounds, clinical candidates, and launched drugs. Initial analysis of the mar...

The rat brain capillary permeability coefficient was determined for 27 compounds. The relationship of permeability to octanol/water partition coefficient and molecular weight was found to be predictable for drugs with molecular weights less than 400.

If both height and weight are normally distributed, we use the Pearson’s correlation; otherwise Spearman’s correlation coefficient will be presented. Spearman’s correlation is also applicable for two categorical ordinal variables like pain intensity (no, mild, moderate, severe) with burn-surface-area (< 10%, 10% 19%, 20% 29%, ≥ 30%). Table I shows the correlation coefficient between height and ...

In the case of any prior knowledge is unknown, a novel consensus fusion algorithm is put forward. The algorithm takes use of the redundancy information between two consecutive measurements to define the new weight assignment, so the weight coefficient of sensors can be determined dynamically. The algorithm can avoid data saturation when the measurement information increasing, and ensure itself ...