A cake is a metaphor for a heterogeneous, divisible good, such as land. A perfect division of cake is efficient (also called Pareto-optimal), envyfree, and equitable. We give an example of a cake in which it is impossible to divide it among three players such that these three properties are satisfied, however many cuts are made. It turns out that two of the three properties can be satisfied by ...

Fair Division, unlike most research on fairness in the social sciences and mathematics, is devoted solely to the analysis of constructive procedures for actually dividing things up and resolving disputes, including...

Gerbera jamesoniiis of commercial significance and fifth most used cut flower in the world today. A pot experiment was performed to see the effect of co-inoculation of arbuscular mycorrhizal fungi (AMF) i.e. (Glomus mosseae andAcaulospora laevis) with phosphate solubilizing bacteria Pseudomonas fluorescensin the presence of different doses of superphosphate (low, medium, high) on growth establi...

Plants of four soybean (Glycine max L. Merrill) genotypes differing in their ability to accumulate iron were studied. The efficient genotypes were Hawkeye (HA) and A62-9 (E-9), and the inefficient ones were PI-54619-5-1 (PI) and A62-10 (I-10). When plants of opposite efficiency were grown in the same solution, iron accumulation decreased in the primary leaves of efficient plants, but it was una...

Translocation of (14)C-photosynthates to mycorrhizal (+ +), half mycorrhizal (0+), and nonmycorrhizal (00) split-root systems was compared to P accumulation in leaves of the host plant. Carrizo citrange seedlings (Poncirus trifoliata [L.] Raf. x Citrus sinensis [L.] Osbeck) were inoculated with the vesicular-arbuscular mycorrhizal fungus Glomus intraradices Schenck and Smith. Plants were expose...

Establishment of arbuscular mycorrhizal symbiosis in plant roots can affect plant physiological and morphological characteristics and may induce tolerance to heavy metals in plants grown in polluted soils; therefore, it can play an important role in phytoremediation. In present study, to investigate the effect of mycorrhizae on alfalfa growth and Pb uptake, a factorial experiment was designed w...

Plants that deploy a phosphorus (P)-mobilising strategy based on the release of carboxylates tend to have high leaf manganese concentrations ([Mn]). This occurs because the carboxylates mobilise not only soil inorganic and organic P, but also a range of micronutrients, including Mn. Concentrations of most other micronutrients increase to a small extent, but Mn accumulates to significant levels,...

The paper is focused on the computation of all possible robustly stabilizing Proportional-Integral-Derivative (PID) controllers for plants with interval uncertainty. The main idea of the proposed method is based on Tan's (et al.) technique for calculation of (nominally) stabilizing PI and PID controllers or robustly stabilizing PI controllers by means of plotting the stability boundary locus in...