The genus Abiotrophia currently includes four species, Abiotrophia defectiva, Abiotrophia adiacens, Abiotrophia balaenopterae and Abiotrophia elegans. Recent 16S rRNA gene sequencing studies have demonstrated that the genus is not monophyletic and is in need of taxonomic revision. Phylogenetically, the genus Abiotrophia consists of two distinct lines, A. defectiva, the type species of the genus...

We prove that there is a polyhedron with genus 6 whose faces are orthogonal polygons (equivalently, rectangles) and yet the angles between some faces are not multiples of 90, so the polyhedron itself is not orthogonal. On the other hand, we prove that any such polyhedron must have genus at least 3. These results improve the bounds of Donoso and O’Rourke [4] that there are nonorthogonal polyhedr...

Genomic information has already been applied to prokaryotic species definition and classification. However, the contribution of the genome sequence to prokaryotic genus delimitation has been less studied. To gain insights into genus definition for the prokaryotes, we attempted to reveal the genus-level genomic differences in the current prokaryotic classification system and to delineate the bou...

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A new species of the genus Synersaga Gozmány, Synersaga mondulkiriensissp. n., is described from Cambodia. The genus is diagnosed, and a global catalogue for the genus is provided.

We discuss a family of multi-term addition formulae for Weierstrass functions on specialized curves of low genus with many automorphisms, concentrating mostly on the case of genus 1 and 2. In the genus 1 case, we give addition formulae for the equianharmonic and lemniscate cases, and in genus 2 we find some new addition formulae for a number of curves.

In this paper we highlight the benefits of using genus-2 curves in public-key cryptography. Compared to the standardized genus-1 curves, or elliptic curves, arithmetic on genus-2 curves is typically more involved but allows us to work with moduli of half the size. We give a taxonomy of the best known techniques to realize genus-2 based cryptography, which includes fast formulas on the Kummer su...

the genus calomyscus has long been considered monotypic and represented by the species c . bailwardi. finally in the most recent revision, eight geographic species were recognized: c . bailwardi, c. baluchi, c. elburzensis, c. grandis, c. hotsoni, c. mystax, c. tsolovi, and c . urartensis. since the taxonomic status of this genus remains somewhat controversial, karyological analysis may provide...