No entire function with real multipliers in class $\mathcal{S}$

Rational maps with real multipliers

Let f be a rational function such that the multipliers of all repelling periodic points are real. We prove that the Julia set of such a function belongs to a circle. Combining this with a result of Fatou we conclude that whenever J(f) belongs to a smooth curve, it also belongs to a circle. Then we discuss rational functions whose Julia sets belong to a circle. MSC classes: 37F10, 30D05. A simpl...

‏‎interpersonal function of language in subtitling

‏‎translation as a comunicative process is always said to be associated with various aspects of meaning loss or gain. subtitling as a mode of translating, due to special discoursal and textual conditions imposed upon it, is believed to be an obvious case of this loss or gain. presenting the spoken sound track of a film in writing and synchronizing the perception of this text by the viewers with...

Real-time recognition with the entire Brodatz texture database

The Brodatz Album has become the de facto standard for evaluating texture algorithms, with hundreds of studies having been applied to small sets of its images. This paper compares two powerful recognition algorithms , principal components analysis and multiscale autoregressive models, by evaluating them on a 999-image database derived from the entire Brodatz Album. The variety of homogeneous an...

Real robustness bounds using generalized stability multipliers

Su cient conditions for robust stability using generalized stability multipliers are presented for systems with sectorand norm-bounded, block-structured real uncertainty. Two parametrizations of the multiplier are considered and the robustness criteria are written as linear matrix inequalities. Upper bounds for the peak structured singular value over frequency, which eliminate frequency griddi...

Conformal Mappings And Entire Functions With Real Zeros