We show that the projective geometry PG(r − 1, q) for r > 3 is the only rank-r (combinatorial) geometry with (qr − 1)/(q − 1) points in which all lines have at least q + 1 points. For r = 3, these numerical invariants do not distinguish between projective planes of the same order, but they do distinguish projective planes from other rank-3 geometries. We give similar characterizations of affine...

Natural Dowling analogues of the complex of phylogenetic trees are studied. Using discrete Morse theory, we find their homotopy types. In the process, the homotopy types of certain subposets of Dowling lattices are determined.

development of the medical schools. From the 1960s, Dowling detects a shift in which hospitals are becoming leaders in health care for their communities. Dowling has made careful use of a variety of secondary and printed primary sources. However, he has not used hospital papers and seems to have used only those primary materials to which secondary works have referred him. It is a pity, too, tha...

development of the medical schools. From the 1960s, Dowling detects a shift in which hospitals are becoming leaders in health care for their communities. Dowling has made careful use of a variety of secondary and printed primary sources. However, he has not used hospital papers and seems to have used only those primary materials to which secondary works have referred him. It is a pity, too, tha...

Dowling-Degos disease is a rare sporadic or autosomal dominant pigmentary entity, in which clusters of papules and reticulate macules slowly develop with predominance in flexural regions. This entity is due to mutations in the keratin 5 gene, and is related with other cutaneous disorders. We report the sporadic form of Dowling-Degos disease in an elderly man with multiple seborrheic keratosis i...

More properties for the translated Whitney numbers of the second kind such as horizontal generating function, explicit formula, and exponential generating function are proposed. Using the translated Whitney numbers of the second kind, we will define the translated Dowling polynomials and numbers. Basic properties such as exponential generating functions and explicit formula for the translated D...

Dowling Degos disease is characterised by hyperpigmented macules arranged in a reticulate pattern in the flexures. The rare hypopigmented variant shows characteristic acanthosis with antler like rete ridges but with pigment only at the tips of the rete ridges. We describe here a rare variant with coexistence of characteristic reticulate hyperpigmentation and hypopigmented macules, which has bee...

To test the hypothesis that the plant stress related elicitor cis-jasmone (cJ) provides protection in soybean pods against the seed-sucking stink bug pest, Euschistus heros, the growth of E. heros on cJ-treated pods was investigated using three soybean cultivars differing in insect susceptibility, i.e. BRS 134 (susceptible), IAC 100 (resistant) and Dowling (resistant). E. heros showed reduced w...