Moreover, the comparative study of prices in Egypt and even in parts of Egypt (a nome, a toparchy, a village) is rendered very difficult by many peculiar circumstances. This is true, for example, of the prices of such a basic commodity as grain. In the statistical lists compiled by modern scholars the price of grain is shown per artaba, as if the artaba were a constant measure. In fact, as has ...

We extend the common theme of random Apollonian packing of circles to consider orientable grains with a noncircular shape. Systems of up to 10(6) grains are examined for a range of polygonal and elliptical shapes using both the random Apollonian packing model and the new rotational random Apollonian packing model which takes into account the extra rotational degree of freedom of noncircular gra...

Ductile compaction is common in many natural systems, but the temporal evolution of such systems is rarely studied. We observe surprising oscillations in the weight measured at the bottom of a self-compacting ensemble of ductile grains. The oscillations develop during the first ten hours of the experiment, and usually persist through the length of an experiment (one week). The weight oscillatio...

Energy dissipation on collisions of grain aggregates is investigated taking into account effects by sintering. It is shown that sintering significantly reduces the energy dissipation efficiency because contacts between adjacent grains become strong by sintering.

Cold-induced sweetening (CIS) is the accumulation of reducing sugars in potato tubers at low storage temperatures. It is undesirable because it results in dark fry products. Our study evaluated the relationship between genetic resistance to CIS and two starch parameters, amylose content and starch granule size. We found that the amylose content in four CIS-resistant varieties was higher than th...

Policies are used to control the behavior of large-scale systems. After policies are designed and before policies are implemented, it should be possible to analyze the policies and verify that they behave as expected. Graph transformations provide a good method to carry out the analysis and verification because of the intuitive representation of policies and the mature theory. Here, we show how...

A phase-field approach for quantitative simulations of grain growth in anisotropic systems is introduced, together with a new methodology to derive appropriate model parameters that reproduce given misorientation and inclination dependent grain boundary energy and mobility in the simulations. The proposed model formulation and parameter choice guarantee a constant diffuse interface width and co...

Note that if ∑ agg ∈ I, then ∑ ag = 0 so that ∑ agg = ∑ agg− ∑ ag1 = ∑ ag(g−1), so that every element in I is a Z-linear combination of the elements g− 1 (g ∈ G, g 6= 1). Also, if ∑ ag(g− 1) = 0, it follows that ag = 0 for all g so that the elements g − 1 (g ∈ G, g 6= 1) are linearly independent. (b) Notice that the ideal generated by the elements s− 1 (s ∈ S) is the same as the ideal generated...

truction combined with measures such as the improvement of dwelling houses and the better storage of grain to lessen the rat population? Admittedly the I M. S is merely advisory in such matters, but for what it is worth I venture to express the following opinions, viz. (i) That in years to come it will be recognised that the one and only method of dealing successfully with Bubonic Plague is rig...