Distributed property

Hill SI (1990) Distribution, properties and functional characteristics of three classes of histamine receptor. Pharmacol Rev 42 45-83... 

If we multiply both sides of Equation (7.9) by VoA) and apply the distributive property, we obtain... 

Govers, H.A.J., Evers, E.H.G. (1992) Prediction of distribution properties by solubility parameters description of the method and application to methylbenzenes. Chemosphere 24, 453 -64. 

In addition, it is important to consider the distributional properties of indicators. The measures should be sufficiently long (have enough levels) to allow for a large number of intervals, which is necessary for precise estimation. A general recommendation is that an indicator should have at least 20 levels (Waller Meehl, 1998). Analyses with shorter measures are possible but produce less interpretable results. Indicator skew is another consideration. One critical feature of an indicator is its ability to separate taxonic and nontaxonic cases (indicator validity). Indicator validity is associated with indicator skew. If the taxon base rate is small (e.g., less than. 30), then an indicator has to have substantial positive skew to be a valid measure of the taxon. Positive skew is necessary but is not sufficient for an indicator to be valid. This relationship does not hold for taxa with base rates around. 50, and it is reversed (negative skew is necessary) for taxa with high base rates. 

To facilitate interpretation of the outputs, the authors also created two simulation data sets with identical distributional properties (number of indicators, number of levels, indicator intercorrelations, skew and kurtosis) one taxonic set and one dimensional set. The taxonic data set was created to have a base rate of. 23, which corresponds to the proportion of cases falling at or above a BDI threshold of 10 in the undergraduate data set. Ruscio and Ruscio tried to ensure that indicator validities and nuisance correlations matched the estimated parameters of the real indicators, but they did not indicate how successful this was. 

Using the distributive property of the matrix product, and since each summation index is independent, we get... 

Which choice shows an example of the distributive property ... 

Another useful property is the distributive property. This property deals with two operations, multiplication and addition, or multiplication and subtraction. Recall that 5(12 + 8) means five times the quantity twelve plus eight. ... 

DISTRIBUTIVE PROPERTY states that multiplication distributes over addition or subtraction. 

The distributive property deals with multiplication and addition, or multiplication and subtraction. 

In processes where classification or separation of particles is required, the efficiency of separation will be a function of one or more distributed properties of the particles. The function which describes the efficiency with which particles are separated by size (d) is usually termed the grade efficiency, G(d). For particles in a narrow size interval between d and d + Ad, G(d) is defined as the mass ratio of such particles in the underflow to that in the feed. The overall separation efficiency E corresponds to the particle size d for which G(d) equals E. 

Yap CW, Chen YZ (2005) Quantitative Structure-Pharmacokinetic Relationships for drug distribution properties by using general regression neural network. J Pharm Sci 94 153-168. 

Definition of a Complex Polymer. A simple polymer is one vrtiich has at most one broad molecular property distribution (e.g., a broad molecular weight distribution). A complex polymer is one which has two or more broad molecular property distributions (e.g., a broad molecular weight distribution and a broad copolymer composition distribution) ( ). Properties such as molecular weight and composition, Aiich can be in so much variety in a polymer that they must be described as a distribution, are here termed "distributed properties". It is the presence of simultaneous breadth (i.e., variety) in more than one distributed property which is the defining characteristic of a "complex" polymer and the source of analysis difficulties. 

In previous section, ensembles with well-separated constants appear. We represented them by a log-uniform distribution in a sufficiently big interval log ke[a, jS], but we were not interested in most of probability distribution properties, and did not use them. The only property we really used is if fcj >fcy, then ki/kj 1 (with probability close to one). It means that we can assume that ki/kj a for any preassigned value of a that does not depend on k values. One can interpret this property as an asymptotic one for a — co,p- co. 

More recently, a variety of other methods has been developed to describe the electronic distribution properties of drug molecules. The electron distribution in a molecule can be estimated or determined by experimental methods such as dipole-moment measurements, NMR methods, or X-ray diffraction. The latter method provides very accurate electron-density maps, but only of molecules in the solid state it cannot be used to provide maps of the nonequilibrium conformers of a molecule in a physiological solution. 

Figure 1.12 Determining the properties of drug molecules. Drug molecules may have their properties ascertained by either experimental or theoretical methods. Although experimental methods, especially X-ray crystallography, are the gold standard methods, calculational approaches tend to be faster and do provide high qnality information. Nonempirical techniques, such as ab initio quantum mechanics calcnlations, provide accnrate geometries and electron distribution properties for drng molecnles.

The Ag cryptate experiments have thus illustrated that the distribution properties in mice peaked immediately after injection with % ID/organ values that were approximately equal to literature values for % CO to those organs. In addition, these studies have shown that the activity in the brain was constant from 1-3 minutes at 0.75% ID/g, consistent with rodent cerebral blood flow (10). This implies that Ag+[2.2.2] crosses the blood brain barrier. Also, modeling of the blood clearance curve showed that Ag+[2.2.2] disproportionated in plasma with a rate constant equal to that which would be expected from the k(j for Ag+[2.2.2] in... 

How can (10.9) make sense as a geometrical scalar product From the chain-rule linearity property (10.4) of partial derivatives, one can see that the (R/ R7) values defined by (10.9) will automatically satisfy the distributive property (9.27a) ... 

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