The topological structure of scalar, vector, and second-order tensor fields provides an important mathematical basis for data analysis and visualization. In this paper, we extend this framework towards higher-order tensors. First, we establish formal uniqueness properties for a geometrically constrained tensor decomposition. This allows us to define and visualize topological structures in symme...

We compute the group of Morita self-equivalences (the Picard group) of a Poisson structure on an orientable surface, under the assumption that the degeneracies of the Poisson tensor are linear. The answer involves mapping class groups of surfaces, i.e., groups of isotopy classes of diffeomorphisms. We also show that the Picard group of these structures coincides with the group of outer Poisson ...

a standard breakfast was evaluated as a screening test (bt) for gestational diabetes in a case-control study. blood sugar (bs) was measured 1 hour after a breakfast that had 50gr simple sugar and was designed based on women preferences. in the same women glucose challenge test (gct, 50gr 1hour glucose screening test) was performed one week later in randomized sequential. cutoff values for both ...

BACKGROUND In the GOLD (Global initiative for chronic Obstructive Lung Disease) strategy document, the Clinical COPD Questionnaire (CCQ), COPD Assessment Test (CAT), or modified Medical Research Council (mMRC) scale are recommended for the assessment of symptoms using the cutoff points of CCQ ≥1, CAT ≥10, and mMRC scale ≥2 to indicate symptomatic patients. The current study investigates the cri...

OBJECTIVE Because iron is both an essential and toxic micronutrient influencing the development of microbial infections, we evaluated the usefulness of iron parameters as outcome predictors in ICU patients. DESIGN Prospective clinical single-center non-interventional study. SETTING General internal medicine ICU; German University hospital. PATIENTS One hundred and twelve septic and 43 non...

PURPOSE The use of morning basal serum cortisol levels as an alternative to dynamic testing for assessment of hypothalamic-pituitary-adrenal (HPA) axis has previously been reported. The purpose of this study was to determine the lower and upper cutoff values that would obviate subsequent HPA axis testing. METHODS A single-centre, retrospective study from a tertiary care endocrinology clinic w...