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- Yuri M. Suhov, Salimeh Yasaei Sekeh, Izabella Stuhl
- ArXiv
- 2015

We produce a series of results extending information-theoretical inequalities (discussed by Dembo–Cover–Thomas in 1989-1991) to a weighted version of entropy. The resulting inequalities involve the Gaussian weighted entropy; they imply a number of new relations for determinants of positive-definite matrices.

- Yuri M. Suhov, Izabella Stuhl, Salimeh Yasaei Sekeh, Mark Kelbert
- ArXiv
- 2015

A number of simple inequalities for the weighted entropies is proposed, mirroring properties of a standard (Shannon) entropy and related quantities.

- Yuri M. Suhov, Izabella Stuhl
- ArXiv
- 2016

The Shannon Noiseless coding theorem (the data-compression principle) asserts that for an information source with an alphabet X = {0,. .. , − 1} and an asymptotic equipartition property, one can reduce the number of stored strings (x 0 ,. .. , x n−1) ∈ X n to nh with an arbitrary small error-probability. Here h is the entropy rate of the source (calculated… (More)

- Karl Strambach, Izabella Stuhl
- Discrete Mathematics
- 2009

- Yuri M. Suhov, Izabella Stuhl
- ArXiv
- 2016

The weighted entropy H w 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 EI w

- Charles J. Colbourn, Maria De Lourdes Merlini Giuliani, Alexander Rosa, Izabella Stuhl
- Australasian J. Combinatorics
- 2015

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)

- Mauro César Cafundó Morais, Izabella Stuhl, +6 authors Alexandre F Ramos
- Scientific reports
- 2017

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)

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