We obtain an inequality on a measure of the spread in time of periodic functions that are concentrated in frequency, i.e. all but a fixed finite number of Fourier coefficients vanish with meansquared error up to . We characterize an extremal function and give an asymptotic formula for the measure of spread of this extremal function as approaches 0. We also consider the corresponding problem for...

as a result of rule of law ideal, judges are required to act in accordance with laws. the ideal is justified by some political values: political liberty, legal liberty , personal liberty and equality. citizens are subject only to the law not to the arbitrary will or judgment of another who wields coercive government power. but in some cases law is indeterminate. in these cases there is an impor...

regarding many disadvantages of traditional method to produce concentrated yoghurt, several attempts have been done for mechanization of process in industrial scale. using membrane systems especially ultra filtration is one of these methods. in this survey, method to produce direct concentrated yoghurt, fresh milk was concentrated to 19% snf by ultra filtration method then diluted to 13 and 16 ...

We present a multi-scale molecular modeling of concentrated solutions of unknotted and non-concatenated ring polymers under good solvent conditions. The approach is based on a multi-blob representation of each ring polymer, which is capable of overcoming the shortcomings of single-blob approaches that lose their validity at concentrations exceeding the overlap density of the solution [A. Narros...

Prominent explanations of the overrepresentation of Black Americans in criminal justice statistics focus on the effects of neighborhood concentrated disadvantage, racial isolation, and social disorganization. We suggest that perceived personal discrimination is an important but frequently neglected complement to these factors. We test this hypothesis with longitudinal data on involvement in gen...

1. The conditions under which the phase rule may be applied to systems containing proteins are formulated. 2. An attempt was made to fractionate chymotrypsinogen, by crystallization in stages with increasing concentration of magnesium sulfate. No significant fractionation of the protein was achieved, but a small amount of impurity which affects the solubility, while having little influence on o...

This paper uses classical logic for a simultaneous description of the syntax and semantics of a fragment of English and it is argued that such an approach to natural language allows procedural aspects of linguistic theory to get a purely declarative formulation. In particular, it will be shown how certain construction rules in Discourse Representation Theory, such as the rule that indefinites c...

A lot of decision systems work internally using different forms of decision rules. In our experiments on large medical datasets, we found that when the number of conditions in a decision rule increases and the overall number of rules is greater than 20-50, it is really difficult to analyze and manage the stored knowledge. Our research concentrated on two methods of the visualization of decision...