The above-mentioned regular representation is by no means the most economical. The following illustration bears out this point by using ten elements instead of the twenty-eight required by the regular representation. ILLUSTRATION 1. In the following manner we can represent the lattice in Figure 5 on p. 49 of Birkhoff (loc. cit.) by suitable set-coordinates (using sets of integers) : 0 = ( ),vs ...

this paper reports on an exploratory study that explores the instructional patterns within english as a foreign language (efl) secondary school classrooms in syria. recently, the syrian ministry of education (moe) has introduced a new national curriculum which recommends a shift in efl teachers’ instructional practices. despite this costly innovation, there has been no attempt to check whether ...

In the title E isomer of the racemic compound, C37H32F2N2O2, the pyridinone ring adopts a twisted half-chair conformation with the N atom deviating by -0.355 (3) Å and with the methyl-ene C atom next to octa-hydro-indolizine moiety deviating by 0.415 (3) Å from the mean plane defined by other four atoms. In the octa-hydro-indolizine system, the pyrrolidine ring exhibits an envelope conformation...

In the title compound, C37H32Cl2N2O2, the pyridinone ring adopts a twisted half-chair conformation. The fused pyrrolidine and piperidine rings of the octa-hydro-indolizine unit exhibit envelope (with the C atom bound to the C atom bearing the chloro-benzene ring being the flap atom) and chair conformations, respectively. The dihedral angle between the chloro-benzene rings is 84.03 (1)°. In the ...

In the title compound, C(39)H(38)N(2)O(4), the pyridinone ring adopts a twisted half-chair conformation with the N atom deviating by 0.3304 (1) and with the methyl-ene C atom adjacent to the octa-hydro-indolizine unit deviating by 0.444 (3) Å from the mean plane defined by the other four atoms. In the octa-hydro-indolizine system, the pyrrolidine ring exhibits an envelope conformation, with the...

tality in industrialized societies. However, a significant part of the variation of the incidence of atherosclerosis diseases is not explained by its recognized risk factors. To enhance understanding of and to be able to prevent the atherosclerotic process, additional risk markers need to be identified. Sialic acid comprises a family of acylated derivates of neuraminic acid. It is widely distri...