A workable nonstandard definition of the Kurzweil-Henstock integral is given via a Daniell integral approach. This allows us to study the HL class of functions from . The theory is recovered together with a few new results.
A special case of a combinatorial theorem of De Bruijn and Erdős asserts that every noncollinear set of $n$ points in the plane determines at least $n$ distinct lines. Chen and Chvátal suggested a possible generalization of this assertion in metric spaces with appropriately defined lines. We prove this generalization in all metric spaces where each nonzero distance equals $1$ or $2$.
Two new species of coccidian parasites are described from African reptiles. Oocysts of Eimeria foulshami sp. n. from the plated lizard Gerrhosaurus major bottegoi Del Prato of Sudan are ellipsoidal, 24.1 × 14.9 (23-26.5 × 14-17.8) µm with a bilayered, colourless oocyst wall and lack polar granules. The ellipsoidal sporocysts average 8.6 × 4.6 (7-10.6 × 4.4-7) µm and possess a prominent, globular, sporocyst residuum. Oocysts of Caryospora regentensis sp. n. from the green mamba Dendroaspis viridis Hallowell of Kenya are spherical to subspherical, 16.8 × 16.4 (16-17.6 × 15-17.2) µm with a bilayered oocyst wall and a single polar granule. The ellipsoidal sporocysts average 13.0 × 10.3 (10.2-14 × 9.2-11) µm and possess a Stieda and substieda body and a prominent globular sporocyst residuum. Oocysts of Caryospora legeri Hoare, 1933 are reported from a hissing sand snake, Psammophis sibilans sibilans L. from Nigeria, representing a new geographical record. The oocysts are slightly larger than the type, but otherwise identical. Caryospora psammophi Bray, 1960 and C. hermae Bray, 1960 from Psammophis sibilans phillipsi, oocysts of which are morphologically similar to and overlap in dimensions with C. legeri Hoare, 1933, are synonymised with the latter species. Eimeria samiae Iskander et Tadros, 1979 is emended to E. samyadeli to reflect the gender of the person the species was named after and because E. sami is preoccupied. In addition to these findings, Eimeria bohemi Modrý, Šlapeta et Koudela, 2000 and oocysts of an unidentified spherical Eimeria sp. are reported from Chamaeleo dilepis dilepis Leach from Cameroon.
We have developed a PCR assay that in a single reaction distinguishes between Leishmania infantum and Leishmania donovani strains on the basis of different size of the amplicon. The targeted intergenic region between putative biopterin transporter and nucleotide binding protein on chromosome 35 is highly variable, species-specific and can be amplified from clinical samples. Based on the assay, five tested Leishmania archibaldi and L. infantum strains from the Sudan and Ethiopia clearly belong to L. donovani, which is in accordance with a recent multifactorial analysis of these strains. The nucleotide sequence reported in this paper has been submitted to the GenBankTM with accession number EU068004.
A version of Dieudonné theorem is proved for lattice group-valued modular measures on lattice ordered effect algebras. In this way we generalize some results proved in the real-valued case.
Opegaster ouemoensis sp. n. is described from Periophthalmus argentilineatus Valenciennes (Gobiidae). Distinctive features included the weak or undetectable papillae of the ventral sucker and the small, but distinct cirrus-sac. The new species is compared with 25 marine species of Opegaster for which a table of measurements and ratios is presented. The new combination Opegaster queenslandicus (Aken'Ova, 2007) (originally in Opecoelus) is formed. Fifteen mudskippers were intensively examined for parasites; larval anisakid nematodes and acanthocephalans were found, but no monogeneans, cestodes, copepods, isopods, hirudineans or adult nematodes. A brief summary of the helminth parasites of mudskippers is included.
This paper presented a new image encryption algorithm. The algorithm includes two steps: first, by using Cubic map and wavelet function to produce the 2D chaotic sequences to scramble the location of pixel points from the image, then using DNA sequence and chaotic sequence produced by Logistic chaotic map to disturb the gray of the pixel points from image. The experimental results and security analysis show that our algorithm can get good encryption effect, has widest secret key's space, strong sensitivity to secret key, and has the ability of resisting exhaustive attack and statistic attack.
We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded
$H^{\infty }$-calculus and is based on elementary analysis.
Ten new species of Myrsidea Waterston, 1915 parasitic on members of the avian families Formicariidae, Thraupidae, Tyrannidae, Troglodytidae and Icteridae are described herein. They and their type hosts are M. isacantha sp. n. ex Chamaeza nobilis Gould, M. circumsternata sp. n. ex Formicarius colma Boddaert (Formicariidae); M. cacioppoi sp. n. ex Lanio fulvus (Boddaert), M. brasiliensis sp. n. ex Tangara chilensis (Vigors), M. saviti sp. n. ex Tangara schrankii (Spix) (Thraupidae), M. rodriguesae sp. n. ex Cnipodectes subbrunneus (Sclater), M. cnemotriccola sp. n. ex Cnemotriccus fuscatus (Wied-Neuwied), M. lathrotriccola sp. n. ex Lathrotriccus euleri (Cabanis) (Tyrannidae), M. faccioae sp. n. ex Cyphorhinus arada transfluvialis (Todd) (Troglodytidae), and M. lampropsaricola sp. n. ex Lampropsar tanagrinus (Spix) (Icteridae). Among these are two new Myrsidea species described from the avian family Formicariidae, which previously had only a single described Myrsidea species, and a new host record for M. cinnamomei Dalgleish et Price, 2005 ex Attila citriniventris Sclater. Analysis of mitochondrial cytochrome oxidase I sequences for these and other neotropical Myrsidea species provides an assessment of their phylogenetic relationships and indicates that all of these newly described species are genetically distinct. We also put these descriptions into context by estimating the potential number of unnamed Myrsidea species in Brazil, given the known diversity of potential hosts and typical levels of host specificity for Myrsidea species. Our estimate indicates that Brazilian Myrsidea species diversity is likely more than an order of magnitude greater than the number of described Myrsidea species known from Brazil, highlighting the need for future work on this megadiverse ectoparasite genus.
BL-algebras, introduced by P. Hájek, form an algebraic counterpart of the basic fuzzy logic. In the paper it is shown that BL-algebras are the duals of bounded representable DRl-monoids. This duality enables us to describe some structure properties of BL-algebras.