Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets

The edges of torn plastic sheets and growing leaves often display hierarchical buckling patterns. We show that this complex morphology (i) emerges even in zero strain configurations, and (ii) is driven by a competition between the two principal curvatures, rather than between bending and stretching. We identify the key role of branch-point (or "monkey-saddle") singularities in generating complex wrinkling patterns in isometric immersions, and show how they arise naturally from minimizing the elastic energy.Comment: 6 pages, 6 figures. This article supersedes arXiv:1504.0073

Burger King Corp. v. Rudzewicz, 105 S. Ct. 2174 (1985)

Civil Procedure-PERSONAL JURISDICTION-DUE PROCESS LIMITS THE REACH OF FLORIDA\u27S LONG-ARM STATUTE IN BRINGING CONTRACT DEFENDANTS TO THE HOME OF THE WHOPPE

Predictive haemodynamics in a one-dimensional human carotid artery bifurcation. Part II: application to graft design

A Bayesian surrogate modelling technique is proposed that may be able to predict an optimal bypass graft configuration for patients suffering with stenosis in the internal carotid artery (ICA). At the outset, this statistical technique is considered as a means for identifying key geometric parameters influencing haemodynamics in the human carotid bifurcation. This methodology uses a design of experiments (DoE) technique to generate candidate geometries for flow analysis. A pulsatile one dimensional Navier-Stokes solver incorporating fluid-wall interactions for a Newtonian fluid which predicts pressure and flow in the carotid bifurcation (comprising a stenosed segment in the internal carotid artery) is used for the numerical simulations. Two metrics, pressure variation factor (PVF) and maximum pressure (pm) are employed to directly compare the global and local effects, respectively, of variations in the geometry. The values of PVF and pm are then used to construct two Bayesian surrogate models. These models are statistically analysed to visualise how each geometric parameter influences PVF and pm. Percentage of stenosis is found to influence these pressure based metrics more than any other geometric parameter. Later, we identify bypass grafts with optimal geometric and material properties which have low values of PVF on five test cases with 70%, 75%, 80%, 85% and 90% stenosis in the ICA, respectively

Distributed branch points and the shape of elastic surfaces with constant negative curvature

We develop a theory for distributed branch points and investigate their role in determining the shape and influencing the mechanics of thin hyperbolic objects. We show that branch points are the natural topological defects in hyperbolic sheets, they carry a topological index which gives them a degree of robustness, and they can influence the overall morphology of a hyperbolic surface without concentrating energy. We develop a discrete differential geometric (DDG) approach to study the deformations of hyperbolic objects with distributed branch points. We present evidence that the maximum curvature of surfaces with geodesic radius $R$ containing branch points grow sub-exponentially, $O(e^{c\sqrt{R}})$ in contrast to the exponential growth $O(e^{c' R})$ for surfaces without branch points. We argue that, to optimize norms of the curvature, i.e. the bending energy, distributed branch points are energetically preferred in sufficiently large pseudospherical surfaces. Further, they are distributed so that they lead to fractal-like recursive buckling patterns.Comment: 59 pages, 20 figures. Major revisions including new proofs with weakened hypotheses, expanded discussion and additional references. Some images are not at their original resolution to keep them at a reasonable size. Comments are very welcome and much appreciate

EC86-1862 Nebraska Commercial Turfgrass Disease Control Guide For Profession Turfgrass Managers

This extension circular contains four-color photos to help professional turfgrass managers identify the different turfgrass diseases in Nebraska. Tables are included that describe the disease, the common name of fungicides, trade names, and descriptions of how to control these diseases

EC86-1862 Nebraska Commercial Turfgrass Disease Control Guide For Profession Turfgrass Managers

This extension circular contains four-color photos to help professional turfgrass managers identify the different turfgrass diseases in Nebraska. Tables are included that describe the disease, the common name of fungicides, trade names, and descriptions of how to control these diseases

Molecular characterization of cDNA encoding resistance gene-like sequences in Buchloe dactyloides

Current knowledge of resistance (R) genes and their use for genetic improvement in buffalograss (Buchloe dactyloides [Nutt.] Engelm.) lag behind most crop plants. This study was conducted to clone and characterize cDNA encoding R gene-like (RGL) sequences in buffalograss. This report is the first to clone and-characterize of buffalograss RGLs. Degenerate primers designed from the conserved motifs of known R genes were used to amplify RGLs and fragments of expected size were isolated and cloned. Sequence analysis of cDNA clones and analysis of putative translation products revealed that most encoded amino acid sequences shared the similar conserved motifs found in the cloned plant disease resistance genes RPS2, MLA6, L6, RPM1, and Xa1. These results indicated diversity of the R gene candidate sequences in buffalograss. Analysis of 5' rapid amplification of cDNA ends (RACE), applied to investigate upstream of RGLs, indicated that regulatory sequences such as TATA box were conserved among the RGLs identified. The cloned RGL in this study will further enhance our knowledge on organization, function, and evolution of R gene family in buffalograss. With the sequences of the primers and sizes of the markers provided, these RGL markers are readily available for use in a genomics-assisted selection in buffalograss

The Role of Central Banks and Competition Policies in the Rescue and Recapitalisation of Financial Institutions During (and in the Aftermath of) the Financial Crisis

Recent years have witnessed a change in focus from considerations of factors which could impede competition, for example over-regulation, to the need to strike a balance between over-regulation and insufficient regulation – in order to provide the right level of safety for consumers (such that they are protected from risky investments). A driving force behind the need for deregulation over the past two decades has been the objective and desire to foster competition. Re-regulation thereafter assumed centre stage in some jurisdictions in response to the need to manage cross sector services' risks more efficiently. Rescue cases involving guarantees (contrasted with restructuring cases) during the recent Financial Crisis, have illustrated the prominent position which the goal of promoting financial stability has assumed over that of the prevention or limitation of possible distortions of competition which may arise when granting State aid. The importance attached to maintaining and promoting financial stability - as well as the need to facilitate rescue and restructuring measures aimed at preventing systemically relevant financial institutions from failure, demonstrate how far authorities are willing to overlook certain competition policies. However increased government and central bank intervention also simultaneously trigger the usual concerns – which include moral hazard and the danger of serving as long term substitutes for market discipline. An interesting observation derives from the relationship between State aid grants, competition, and the potential to induce higher risk taking levels. Whilst the need to promote and maintain financial stability is paramount, safeguards need to be implemented and enforced to ensure that measures geared towards the aim of sustaining system stability (measures such as lender of last resort arrangements and State rescues) do not unduly distort competition as well as induce higher risk taking levels. This paper will draw attention to safeguards which have been provided by the Commission where approval is considered for the grant of State aid to financial institutions whose problems are attributable to inefficiencies, poor asset liability management or risky strategies. Whether the distinction drawn by the Commission – with regards to the preferential grant of recapitalisation packages to fundamentally sound banks (which require less restructuring measures)is justified, will also be considered. How far central banks and governments should intervene and how far distortions of competition should be permitted ultimately depends on how systemically relevant a financial institution is

James B Beard: The Father of Contemporary Turfgrass Science

James B Beard (24 Sept 1935 to 8 May 2018) can rightly be considered the “Father” of contemporary turfgrass science. During his career, he was known for setting a standard that provided the foundation for turfgrass science through his thorough approach to research, teaching, mentoring and communications. The books he published outlined a vision for an evolving scientific discipline. He trained and mentored \u3e45 domestic and international doctoral and master students and numerous post-doctoral trainees, who in turn continued to raise the quality of contemporary turfgrass science in the USA and internationally. He led the effort to change the name of Division C- 5 of the Crop Science Society of America (CSSA) from Turfgrass to Turfgrass Science, making C-5 an important and a vital part of the society. His subsequent rigorous education and mentoring of others continued to strengthen the division. He recognized the importance of quality, peer-reviewed science and the need for C-5 to be represented on the Crop Science Journal (CSJ) Editorial Board to expedite this goal. His leadership and encouragement led to the creation of a C-5 Technical Editor position on the CSJ Editorial Board in 2002. Beard provided the vision and worked with other leaders worldwide to develop the International Turfgrass Society (ITS) and the ITS Research Journal. The ITS and its leaders and members have been instrumental in enhancing turfgrass science internationally. Beard’s leadership, along with others in turfgrass academia and industry, resulted in the USGA Turfgrass and Environmental Research Program that provides a competitive grant-fund source for turfgrass research. Beard appreciated and vigorously studied history and contributions to turfgrass science by those who went before us. He leaves behind a legacy in science that deserves recognition and respect. It is our hope that this synopsis of Beard’s career accomplishments will inspire present and future turfgrass scientists to follow in his footsteps