Izabella Stuhl

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A number of simple inequalities for the weighted entropies is proposed, mirroring properties of a standard (Shannon) entropy and related quantities. 1 The weighted Gibbs inequality and its consequences The definition and initial results on weighted entropy were introduced in [1, 14]. Further progress was made, subsequently, in [27, 9, 17, 26, 28, 34, 18],(More)
The weighted entropy Hw φ (X) = H w φ (f) of a random variable X with values x and a probability-mass/density function f is defined as the mean value EIw φ (X) of the weighted information Iw φ (x) = −φ(x) log f(x). Here x 7→ φ(x) ∈ R is a given weight function (WF) indicating a ’value’ of outcome x. For an n-component random vector X 0 = (X0, . . . ,Xn−1)(More)
Contact inhibition is a central feature orchestrating cell proliferation in culture experiments; its loss is associated with malignant transformation and tumorigenesis. We performed a co-culture experiment with human metastatic melanoma cell line (SKMEL- 147) and immortalized keratinocyte cells (HaCaT). After 8 days a spatial pattern was detected,(More)
A loop satisfies Moufang’s theorem whenever the subloop generated by three associating elements is a group. Moufang loops (loops that satisfy the Moufang identities) satisfy Moufang’s theorem, but it is possible for a loop that is not Moufang to nevertheless satisfy Moufang’s theorem. Steiner loops that are not Moufang loops are known to arise from Steiner(More)
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