253 research outputs found
An Efficient and Simple Synthesis of Optically Pure Tricarbonyl(methyl 6-oxo-2,4-hexadienoate)iron
Synthesis and Reactivity of Tricarbonyl(1-ethoxy-carbonyl-2-methylpentadienyl)iron(1+) Cation
The title cation was prepared in two steps from the known (ethyl 3-methyl-6-oxo-2,4-hexadienoate)Fe(CO)3. Reation of the cation with NaBH3CN, methyl cuprate, phthalimide, water, PPh3, or malonate anions gave predominantly the products from nucleophilic attack at the C5 pentadienyl carbon
The evolution of body size, horn shape and social behaviour in crown Antilopini - an ancestral character state analysis
The earliest known bovids, commonly placed in the genus Eotragus, are small species with short straight horns that are located above the orbits. Among living bovids there are several species that show a similar horn morphology. These dwarf antelopes were historically united in the group „Neotragini“, which is now known to be a polyphyletic assemblage. The species in the genera Ourebia, Raphicerus, Dorcatragus, Madoqua, Oreotragus, Nesotragus, and Neotragus are scattered across the bovid phylogenetic tree. Nevertheless, the shared similarities, not only in body size and horn length but also in their social organisation, are interpreted to represent shared plesiomorphic traits that were present in the most recent common ancestor of Antilopinae. Most dwarf antelopes are closely related to gazelles and their allies, placed in the taxon Antilopini. Using a species level phylogeny of this group, I reconstructed ancestral states of several characters for the most recent common ancestor of Antilopini. While the results for the reconstruction of ancestral social organisation of the dwarf species are inconclusive, the small body size and short horns of Ourebia, Raphicerus, Dorcatragus, and Madoqua are most likely derived traits. The habitus of the ancestor of Antilopini was probably very similar to modern gazelles, consistent with the placement of the earliest fossil Antilopini in the genus Gazella
On the phylogenetic position of the hornless pecoran Amphimoschus – an example of arising challenges with the incorporation of fossils in extant combined frameworks
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Enhancements of Discretization Approaches for Non-Convex Mixed-Integer Quadratically Constraint Quadratic Programming
We study mixed-integer programming (MIP) relaxation techniques for the
solution of non-convex mixed-integer quadratically constrained quadratic
programs (MIQCQPs). We present two MIP relaxation methods for non-convex
continuous variable products that enhance existing approaches. One is based on
a separable reformulation, while the other extends the well-known MIP
relaxation normalized multiparametric disaggregation technique (NMDT). In
addition, we introduce a logarithmic MIP relaxation for univariate quadratic
terms, called sawtooth relaxation, based on [4]. We combine the latter with the
separable reformulation to derive MIP relaxations of MIQCQPs. We provide a
comprehensive theoretical analysis of these techniques, and perform a broad
computational study to demonstrate the effectiveness of the enhanced MIP
relaxations in terms producing tight dual bounds for MIQCQP
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