Seven views on approximate convexity and the geometry of K-spaces

As in Hokusai's series of paintings "Thirty six views of mount Fuji" in which mount Fuji's is sometimes scarcely visible, the central topic of this paper is the geometry of $K$-spaces although in some of the seven views presented $K$-spaces are not easily visible. We study the interplay between the behaviour of approximately convex (and approximately affine) functions on the unit ball of a Banach space and the geometry of Banach K-spaces.Comment: 2 figure

Analyzing Gerrit Code Review Parameters with Bicho

Code review is becoming a common practice in large scale software development projects. In the case of free, open source software projects, many of them are selecting Gerrit as the system to support the code review process. Therefore, the analysis of the information produced by Gerrit allows for the detailed tracking of the code review process in those projects. In this paper, we present an approach to retrieve and analyze that information based on extending Bicho, a tool designed to retrieve information from issue tracking systems. The details of the retrieval process, the model used to map code review abstractions to issue tracking abstractions, and the structure of the retrieved information are described in detail. In addition, some results of using this approach in a real world scenario, the OpenStack Gerrit code review system, are presented

Phenotypic plasticity and population differentiation in response to salinity in the invasive cordgrass Spartina densiflora

Salinity and tidal inundation induce physiological stress in vascular plant species and influence their distribution and productivity in estuarine wetlands. Climate change-induced sea level rise may magnify these abiotic stressors and the physiological stresses they can cause. Understanding the potential of invasive plants to respond to predicted salinity increases will elucidate their potential niche breadth. To examine potential phenotypic plasticity and functional trait responses to salinity stress in the invasive cordgrass Spartina densiflora, we collected rhizomes from four invasive populations occurring from California to Vancouver Island, British Columbia on the Pacific Coast of North America. In a glasshouse common garden experiment, we measured plant traits associated with growth and allocation, photosynthesis, leaf pigments, and leaf chemistry and calculated plasticity indices across imposed salinity treatments. Fifteen of 21 leaf chemistry, pigment, morphological and physiological traits expressed plastic responses to salinity. When averaged across all measured traits, degree of plasticity did not vary among sampled populations. However, differences in plasticity among populations in response to salinity were observed for 9 of 21 measured plant traits. Leaf chemistry and adaxial leaf rolling trait responses demonstrated the highest degree of plasticity, while growth and allocation measures were less plastic. Phenotypic plasticity of leaf functional traits to salinity indicates the potential of S. densiflora to maintain invasive growth in response to rising estuarine salinity with climate change