Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells

We perform a detailed analysis of the solvability of linear strain equations on hyperbolic surfaces. We prove that if the surface is a smooth noncharacteristic region, any first order infinitesimal isometry can be matched to an infinitesimal isometry of an arbitrarily high order. The implications of this result for the elasticity of thin hyperbolic shells are discussed

Summary statistics of student reactions and self-reported learning following the activity.

<p>Student affective and self-reported learning data were collected and pooled from five courses at three schools. See <a href="http://www.plosbiology.org/article/info:doi/10.1371/journal.pbio.1002351#pbio.1002351.s008" target="_blank">S6 Text</a> for survey questions and <a href="http://www.plosbiology.org/article/info:doi/10.1371/journal.pbio.1002351#pbio.1002351.s010" target="_blank">S8 Text</a> for additional details regarding data collection and analysis; a representative listing of various student responses for each theme shown is given in <a href="http://www.plosbiology.org/article/info:doi/10.1371/journal.pbio.1002351#pbio.1002351.s010" target="_blank">S8 Text</a>.</p

Changes in student perceptions about biology.

<p>Student survey data were collected in five independent sections of Introduction to Biology over two years (<i>n</i> = 195). Students were given a nine-question survey (upper panel) immediately before and following the activity. Questions 1–7 were selected for relevance from the CLASS-Bio survey [<a href="http://www.plosbiology.org/article/info:doi/10.1371/journal.pbio.1002351#pbio.1002351.ref008" target="_blank">8</a>], while questions 8 and 9 were added to address issues that are specifically relevant to the activity but not present in CLASS-Bio. Expert responses are affirmative for questions 1–5 and 9, and negative for questions 6–8. Shifts in student responses were analyzed using a Wilcoxon signed-rank test. Individual test results with <i>p</i>-values less than 0.005 are indicated. See <a href="http://www.plosbiology.org/article/info:doi/10.1371/journal.pbio.1002351#pbio.1002351.s010" target="_blank">S8 Text</a> for additional details regarding data collection and analysis.</p

Case introduction to be read aloud in class to begin the activity.

<p>Students are alerted in advance that this is a true story as part of the initial case study PowerPoint (<a href="http://www.plosbiology.org/article/info:doi/10.1371/journal.pbio.1002351#pbio.1002351.s001" target="_blank">S1 PowerPoint</a>).</p

Additional file 1: Figure S1. of First draft genome sequence of a strain from the genus Fusibacter isolated from Salar de Ascotรกn in Northern Chile

CLUSTAL multiple sequence alignment of proteins related to WP_069871897 of Fusibacter sp. strain 3D3. (ALN 76400 bytes). (DOCX 38 kb

APS events during the five years of the follow-up.

<p>N.S.: Non significant.</p

Additional file 1 of Derivation and external validation of a simple prediction rule for the development of respiratory failure in hospitalized patients with influenza

Additional file 1: Appendix 1. score precision analysis. Sensitivity, specificity, predictive values and accuracy of the different risk categories in the two cohorts

Study for validate aCL antibodies (IgG and IgM) as screening to identify patients positive for aPL consensus (aCL and aB2GP1 IgG/IgM).

<p>Study for validate aCL antibodies (IgG and IgM) as screening to identify patients positive for aPL consensus (aCL and aB2GP1 IgG/IgM).</p

Rapid calculation of the risk to undergo a first APS event in the next 5 years of a previously symptomatic patient.

<p>The risk is based on the values of the three main risk factors. Moderate risk is marked in orange. high risk in red and very high risk in violet. The values in yellow are close to the cut-off point (10.6).</p

Study disposition and main outcomes.

<p>Study disposition and main outcomes.</p