Sickness

Table 3 summarizes the data on reported illness in the previous 14 days (two weeks). Between 87 (Zewai) and 164 (Addis Ababa) persons per thousand people reported 10 have been sick in the previous 2 weeks. In terms of sickness episodes, these were between 87 and 18:j per 1000. Cough and other respiratory symptoms being the most frequently reported in all but Adamitulu, dominate the picture. Head and neck, diarrhea and other gastro-intestinal symptom complexes vie for second place

An embedding result

In unbounded subset $\Omega$ in $R^n$ we study the operator $u\rightarrow gu$ as an operator defined in the Sobolev space $W^{r,p}(\Omega)$ and which takes values in $L^p(\Omega)$. The functions $g$ belong to wider spaces of $L^p$ connected with the Morrey type spaces. The main result is an embedding theorem from which we can deduce a Fefferman type inequality.Comment: 6 page

A matroid extension result

Adding elements to matroids can be fraught with difficulty. In the V\'amos matroid $V_8$, there are four independent sets $X_1,X_2, X_3,$ and $X_4$ such that $(X_1 \cup X_2,X_3 \cup X_4)$ is a $3$-separation while exactly three of the local connectivities $\sqcap(X_1,X_{3})$, $\sqcap(X_1,X_{4})$, $\sqcap(X_2,X_{3})$, and $\sqcap(X_2,X_{4})$ are one, with the fourth being zero. As is well known, there is no extension of $V_8$ by a non-loop element $p$ such that $X_j \cup p$ is a circuit for all $j$. This paper proves that a matroid can be extended by a fixed element in the guts of a $3$-separation provided no V\'amos-like structure is present