We introduce a scheme for constructing a CatmullClark subdivision surface that interpolates the vertices of a quadrilateral mesh with arbitrary topology. The basic idea here is to progressively modify the vertices of an original mesh to generate a new control mesh whose limit surface interpolates all vertices in the original mesh. The scheme is applicable to meshes with any size and any topolog...

Two new species of Indigofera L. (Leguminosae) are described from the Sneeuberg Centre of Floristic Endemism on the southern Great Escarpment, Eastern and Western Cape Provinces, South Africa. Both species are localised high-altitude endemics. Indigoferamagnifica Schrire & V.R. Clark is confined to the summit plateau of the Toorberg-Koudeveldberg-Meelberg west of Graaff-Reinet, and complements ...

INTRODUCTION Combined serendipitous and rational drug-design and -retasking approaches continue to identify many natural and synthetic substances with multipurpose therapeutic properties (Clark, 2013a). Among these substances are Ca2+ modulators capable of attenuating the transmission and severity of viral, bacterial, fungal, and protozoal infections (Clark and Eisenstein, 2013; Clark et al., 2...

On August 12, 2010 the Clark County Historical Society unveiled a permanent exhibit entitled "The Archaeology of Clark County" in the Heritage Center of Clark County, located at 117 South Fountain Avenue, Springfield, Ohio. This exhibit contains numerous artifacts, which for many years had been on display in the museum in Memorial Hall, the former home of the Clark County Historical Society. Ab...

The Australian species of the ant genus Dolichoderus are revised. The fauna contains 27 species belonging to four species goups, the australis group (5 species, 2 newly described), the doriae group (6 species, 2 newly described), the scabridus poup (6 species, 1 newly described) and the scrobiculatus group (10 species, 4 newly described). The former subspecies niger Crawley and rufotibialis Cla...

We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space H. This answers a question posed by Shapiro and Sundberg in 1990. We also establish an improved version of a theorem of MacCluer, giving a lower bound for the essential norm of a difference of composition operators in terms of the angular derivatives of their sy...

One of the Multi-Agent Systems that is widely used by various government agencies, buyers and sellers in a market economy, in such a manner so as to attain optimized resource allocation, is the Combinatorial Auctioning System (CAS). We study another important aspect of resource allocations in CAS, namely fairness. We present two important notions of fairness in CAS, extended fairness and basic ...