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

Graphical depiction of chronic diseases, age and sex.

<p>Correspondence analysis showing the projections on the plane defined by dimensions 1 and 2. M: Male, F: Female. ▴Variables most representative of dimension 2. ______ Pattern A. ---------- Pattern B. ………. Pattern C.</p

Comorbidity associated with chronic diseases.

<p>EDC: expanded diagnosis cluster; ID: index disease; COPD: chronic obstructive pulmonary disease; AMI: acute myocardial infarction.</p

Graphical depiction of chronic diseases, age and sex.

<p>Correspondence analysis showing the projections on the plane defined by dimensions 1 and 3. M: Male, F: Female. ▴ Variables most representative of dimension 3. ______ Pattern A. ---------- Pattern B. ………. Pattern C.</p

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

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

Multivariate análisis to APS-events associated-factors.

<p>A. Model with the five most significant variables (selection criteria p<0.01). B. Model replacing the previous model less-significant variable (hypertension) by dyslipidemia. C. Model with the three significant variables in the previous models.</p

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

Clinical characteristics of patients in both groups.

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