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Free, publicly-accessible full text available February 1, 2023
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Free, publicly-accessible full text available January 4, 2023
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The rhizosphere has been called “one of the most complex ecosystems on earth” be-cause it is a hotspot for interactions among millions of microbial cells. Many of these are microbes are also participating in a dynamic interplay with host plant tissues, sign-aling pathways, and metabolites. Historically, breeders have employed a plant- centric perspective when trying to harness the potential of microbiome-derived benefits to improve productivity and resilience of economically important plants. This is poten-tially problematic because: (i) the evolution of the microbes themselves is often ig-nored, and (ii) it assumes that the fitness of interacting plants and microbes is strictlymore »Free, publicly-accessible full text available December 2, 2022
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In this paper, we study the asymptotic behavior of BV functions in complete metric measure spaces equipped with a doubling measure supporting a 1-Poincare inequality. We show that at almost every point x outside the Cantor and jump parts of a BV function, the asymptotic limit of the function is a Lipschitz continuous function of least gradient on a tangent space to the metric space based at x. We also show that, at co-dimension 1 Hausdorff measure almost every measure-theoretic boundary point of a set E of finite perimeter, there is an asymptotic limit set (E)∞ corresponding to the asymptoticmore »Free, publicly-accessible full text available November 1, 2022
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Free, publicly-accessible full text available October 1, 2022
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Free, publicly-accessible full text available October 1, 2022
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A single experiment is reported that measured the apparent stereoscopic shapes of symmetric and asymmetric objects at different viewing distances. The symmetric stimuli were specifically designed to satisfy the minimal conditions for computing veridical shape from symmetry. That is to say, they depicted complex, bilaterally symmetric, plane-faced polyhedra whose symmetry planes were oriented at an angle of 45° relative to the line of sight. The asymmetric stimuli were distorted versions of the symmetric ones in which the 3D position of each vertex was randomly displaced. Prior theoretical analyses have shown that it is mathematically possible to compute the 3D shapesmore »Free, publicly-accessible full text available July 1, 2022
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Systematic enumeration and identification of unique 3D spatial topologies of complex engineering systems such as automotive cooling layouts, hybrid-electric power trains, and aero-engines are essential to search their exhaustive design spaces to identify spatial topologies that can satisfy challenging system requirements. However, efficient navigation through discrete 3D spatial topology options is a very challenging problem due to its combinatorial nature and can quickly exceed human cognitive abilities at even moderate complexity levels. Here we present a new, efficient, and generic design framework that utilizes mathematical spatial graph theory to represent, enumerate, and identify distinctive 3D topological classes for an abstractmore »Free, publicly-accessible full text available August 17, 2022
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Free, publicly-accessible full text available June 7, 2022
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Free, publicly-accessible full text available July 27, 2022