In this paper we study the following geometric problem: given $2^n-1$ real numbers $x_A$ indexed by nonempty subsets $A\subset \{1,\dots,n\}$, is it possible to construct a body $T\subset \mathbb{R}^n$ such that $x_A=|T_A|$, where $|T_A|$ $|A|$-dimensional volume of projection $T$ onto subspace spanned axes in $A$? As more convenient take logarithms, denote $\psi_n$ set all vectors $x$ for whic...

Rising temperatures under climate change are projected to have negative impacts on crop growth and production. These conclusions are not based on direct observations but on projected model results. A study conducted comparing normal seasonal temperatures (1980–2010) for Ames, IA, to a normal + 4°C environment with the same water vapor deficit evaluated the impacts of temperature on maize (Zea m...

Climate change is expected to directly alter the composition of communities and the functioning of ecosystems across the globe. Improving our understanding of links between biodiversity and ecosystem functioning across large spatial scales and rapid global change is a major priority to help identify management responses that will retain diverse, functioning systems. Here we address this challen...

Crop model-specific biases are a key uncertainty affecting our understanding of climate change impacts to agriculture. There is increasing research focus on intermodel variation, but comparisons between mechanistic (MMs) and empirical models (EMs) are rare despite both being used widely in this field. We combined MMs and EMs to project future (2055) changes in the potential distribution (suitab...

Indoor localization is challenging in terms of both the accuracy and possible using scenarios. In this paper, we introduce the design and implementation of a toy car localization and navigation system, which demonstrates that a projected light based localization technique allows multiple devices to know and exchange their fine-grained location information in an indoor environment. The projected...