A conjecture on small embeddings of partial Steiner triple systems

A well-known, and unresolved, conjecture states that every partial Steiner triple system of order u can be embedded in a Steiner triple system of order v for all v equivalent to 1 or 3 (mod 6), v greater than or equal to 2u + 1. However, some partial Steiner triple systems of order u can be embedded in Steiner triple systems of order v < 2u + 1. A more general conjecture that considers these small embeddings is presented and verified for some cases. (C) 2002 Wiley Periodicals, Inc.

The ultrastructure of Macropodinium moiri and revised diagnosis of the Macropodiniidae (Litostomatea : Trichostomatia)

The ultrastructural features of Macropodinium moiri were investigated. The somatic cortex is composed of two lateral non-ciliated zones covered with trapezoidal plates and separated by a trough-like dorsoventral groove (DVG) which divides the cell into left and right halves. The somatic kineties occupy the margins of the DVG and are composed of monokinetids whose infraciliature shows a typical litostome pattern. The pellicular plates are lamellate, and separated by V-shaped grooves which are lined by thick-walled vacuoles. The DVG cortex is composed of electron-opaque U-shaped ribs which alternate with electron-lucent saccular structures. The DVG surface is composed of small regular pellicular sacs built up to form the ridges of the dorsal DVG. The vestibulum forms a laterally compressed cone with left/right differentiation. The basal section of its non-ciliated right side is internally lined (outer to innermost) by longitudinal fibres, nematodesmata and transverse microtubular ribbons. The left side bears the vestibular kineties and in its basal section is lined (outer to innermost) by small nematodesmata and transverse tubules. Cytoplasmic organelles include endoplasmic reticulum, starch granules and a single contactile vacuole surrounded by patches of nephridioplasm. Hydrogenosomes are absent and coccoid Gram-positive bacteria lie under the ciliated portions of the cell. This set of characteristics differs significantly from those of the all other trichostomes; Macropodiniidae is therefore designated Trichostomatia incertae sedis. A revised familial diagnosis of the Macropodiniidae is proposed.

The ultrastructure of Amylovorax dehorityi comb. nov and erection of the Amylovoracidae fam. nov (Ciliophora : Trichostomatia)

The ultrastructural features of the holotrichous ciliates inhabiting macropodid maruspials were investigated to resolve their morphological similarity to other trichostome ciliates with observed differences in their small subunit rRNA gene sequences. The ultrastructure of Amylovorax dehorityi nov. comb. (formerly Dasytricha dehorityi) was determined by transmission electron microscopy. The somatic kineties are composed of monokinetids whose microtubules show a typical litostome pattern. The somatic cortex is composed of ridges which separate kinety rows, granular ectoplasm and a basal layer of hydrogenosomes lining the tela corticalis. The vestibulum is an invagination of the pellicle lined down one side with kineties (invaginated extensions of the somatic kineties); transverse tubules line the surface of the vestibulum and small nematodesmata surround it forming a cone-like network of struts. Cytoplasmic organelles include hydrogenosomes, irregularly shaped contractile vacuoles surrounded by a sparse spongioplasm, food vacuoles containing bacteria and large numbers of starch granules. This set of characteristics differs sufficiently from those of isotrichids and members of the genus Dasytricha to justify the erection of a new genus (Amylovorax) and a new family (Amylovoracidae). Dasytricha dehorityi, D. dogieli and D. mundayi are reassigned to the new genus Amylovorax and a new species A. quokka is erected. While the gross morphological similarities between Amylovorax and Dasytricha may be explained by convergent evolution, ultrastructural features indicate that these two genera have probably diverged independently from haptorian ancestors by successive reduction of the cortical and vestibular support structures.

Resistively loaded helical antennas for ground-penetrating radar

Resistively loaded helical antennas, used in the normal mode and horizontally polarised, are modelled using the moment method above typical lossy ground. The distributed resistive loading was adjusted to maintain a two octave bandwidth. The centre frequency of 1 m dipoles was reduced from 250 MHz for the straight resistive wire to 50 MHz for a helix of pitch 2.5 cm and diameter 5 cm. The reduction in efficiency required to maintain the bandwidth for this helix was 12 dB. This agrees reasonably with the theory for small antennas in free space. The results were also verified by comparing measurements performed on a monopole resistively loaded helical antenna in a watertank with the numerical model used elsewhere.

Tenuous threads, small miracles

With the new Noosa Youth Centre, Deborah Fisher Architects has woven a small yet sophisticated building out of highly constrained and complex circumstances. Douglas Neale explores a project that convinces through its modesty.

Partitioning sets of triples into small planes

We study partitions of the set of all ((v)(3)) triples chosen from a v-set into pairwise disjoint planes with three points per line. Our partitions may contain copies of PG(2, 2) only (Fano partitions) or copies of AG(2, 3) only (affine partitions) or copies of some planes of each type (mixed partitions). We find necessary conditions for Fano or affine partitions to exist. Such partitions are already known in several cases: Fano partitions for v = 8 and affine partitions for v = 9 or 10. We construct such partitions for several sporadic orders, namely, Fano partitions for v = 14, 16, 22, 23, 28, and an affine partition for v = 18. Using these as starter partitions, we prove that Fano partitions exist for v = 7(n) + 1, 13(n) + 1, 27(n) + 1, and affine partitions for v = 8(n) + 1, 9(n) + 1, 17(n) + 1. In particular, both Fano and affine partitions exist for v = 3(6n) + 1. Using properties of 3-wise balanced designs, we extend these results to show that affine partitions also exist for v = 3(2n). Similarly, mixed partitions are shown to exist for v = 8(n), 9(n), 11(n) + 1.

QCD thermal phase transition in the presence of a small chemical potential

We propose a new method to investigate the thermal properties of QCD with a small quark chemical potential mu. Derivatives of quark and gluonic observables with respect to mu are computed at mu=0 for two flavors of p4 improved staggered fermions with ma=0.1,0.2 on a 16(3)x4 lattice, and used to calculate the leading order Taylor expansion in mu of the location of the pseudocritical point about mu=0. This expansion should be well behaved for the small values of mu(q)/T(c)similar to0.1 relevant for BNL RHIC phenomenology, and predicts a critical curve T-c(mu) in reasonable agreement with estimates obtained using exact reweighting. In addition, we contrast the case of isoscalar and isovector chemical potentials, quantify the effect of munot equal0 on the equation of state, and comment on the complex phase of the fermion determinant in QCD with munot equal0.

Load-unload response ratio and accelerating moment/energy release critical region scaling and earthquake prediction

The main idea of the Load-Unload Response Ratio (LURR) is that when a system is stable, its response to loading corresponds to its response to unloading, whereas when the system is approaching an unstable state, the response to loading and unloading becomes quite different. High LURR values and observations of Accelerating Moment/Energy Release (AMR/AER) prior to large earthquakes have led different research groups to suggest intermediate-term earthquake prediction is possible and imply that the LURR and AMR/AER observations may have a similar physical origin. To study this possibility, we conducted a retrospective examination of several Australian and Chinese earthquakes with magnitudes ranging from 5.0 to 7.9, including Australia's deadly Newcastle earthquake and the devastating Tangshan earthquake. Both LURR values and best-fit power-law time-to-failure functions were computed using data within a range of distances from the epicenter. Like the best-fit power-law fits in AMR/AER, the LURR value was optimal using data within a certain epicentral distance implying a critical region for LURR. Furthermore, LURR critical region size scales with mainshock magnitude and is similar to the AMR/AER critical region size. These results suggest a common physical origin for both the AMR/AER and LURR observations. Further research may provide clues that yield an understanding of this mechanism and help lead to a solid foundation for intermediate-term earthquake prediction.

Phylogeny of the lice (Insecta, Phthiraptera) inferred from small subunit rRNA

There has been much argument about the phylogenetic relationships of the four suborders of lice (Insecta: Phthiraptera). Lyal's study of the morphology of lice indicated that chewing/biting lice (Mallophaga) are paraphyletic with respect to sucking lice (Anoplura). To test this hypothesis we inferred the phylogeny of 33 species of lice from small subunit (SSU) rRNA sequences (18S rRNA). Liposcelis sp. from the Liposcelididae (Psocoptera) was used for outgroup reference. Phylogenetic relationships among the four suborders of lice inferred from these sequences were the same as those inferred from morphology. The Amblycera is apparently the sister-group to all other lice whereas the Rhynchophthirina is apparently sister to the Anoplura; these two suborders are sister to the Ischnocera, i.e. (Amblycera (Ischnocera (Anoplura, Rhynchophthirina))). Thus, the Mallophaga (Amblycera, Ischnocera, Rhynchophthirina) is apparently paraphyletic with respect to the Anoplura. Our analyses also provide evidence that: (i) each of the three suborders of lice that are well represented in our study (the Amblycera, Ischnocera, and Anoplura) are monophyletic; (ii) the Boopiidae is monophyletic; (iii) the genera Heterodoxus and Latumcephalum (Boopiidae) are more closely related to one another than either is to the genus Boopia (also Boopiidae); (iv) the Ricinidae and Laemobothridae may be sister-taxa; (v) the Philopteridae may be paraphyletic with respect to the Trichodectidae; (vi) the genera Pediculus and Pthirus are more closely related to each other than either is to the genus Pedicinus ; and (vii) in contrast to published data for mitochondrial genes, the rates of nucleotide substitution in the SSU rRNA of lice are not higher than those of other insects, nor do substitution rates in the suborders differ substantially from one another.