- Full text PDF available (18)
- This year (3)
- Last 5 years (6)
- Last 10 years (21)
Journals and Conferences
BACKGROUND Pressure ulcers (PU) and malnutrition exist in elderly hospitalized patients as a significant and costly problem. The aim of the study was to compare different screening tools to assess nutrition status and to verify them for usage in clinical routine. METHODS Nutrition status (body mass index [BMI], Mini Nutritional Assessment [MNA], weight… (More)
BACKGROUND The incremental value of copeptin, a novel marker of endogenous stress, for rapid rule-out of non-ST-elevation myocardial infarction (NSTEMI) is unclear when sensitive or even high-sensitivity cardiac troponin cTn (hs-cTn) assays are used. METHODS In an international multicenter study we evaluated 1929 consecutive patients with symptoms… (More)
We give a complete characterisation of the sets in which Peano derivatives of functions, which are definable in an o-minimal expansion of a real closed field, are continuously respectively Fréchet differentiable.
Given an o-minimal expansion M of a real closed field R which is not polynomially bounded. Let P ∞ denote the definable indefinitely Peano differentiable functions. If we further assume that M admits P ∞ cell decomposition , each definable closed set A ⊂ R n is the zero-set of a P ∞ function f : R n → R. This implies P ∞ approximation of definable… (More)
Let M be an o-minimal structure over the real closed field R. We prove the definable smoothing of definable Lipschitz continuous functions. In the case of Lipschitz functions of one variable we are even able to preserve the Lipschitz constant.
We show that for innnite-dimensional discrete-time positive systems the complex and real stability radius coincide. Furthermore, we provide a simple formula for the complex stability radius of positive systems by the associated transfer function. We illustrate our results with an example dealing with a simple type of diierential-diierence equations. 1.… (More)
We investigate several extension properties of Fréchet differen-tiable functions defined on closed sets for o-minimal expansions of real closed fields.
Peano differentiability is a notion of higher order differentiability in the ordinary sense. H. W. Oliver gave sufficient conditions for the m th Peano derivative to be a derivative in the ordinary sense in the case of functions of a real variable. Here we generalize this theorem to functions of several variables.
We present a canonical proof of both the strict and weak Posi-tivstellensatz for rings of differentiable and smooth functions. The construction preserves definability in expansions of the real field, and it works in definably complete expansions of real closed fields as well as for real-valued functions on Banach spaces.
Peano differentiability generalizes ordinary differentiability to higher order. There are two ways to define Peano differentiability for functions defined on non-open sets. For both concepts, we investigate the question under which conditions a function defined on a closed set can be extended to a Peano differ-entiable function on the ambient space if the… (More)