14 research outputs found

    Topological sequence entropy for maps of the circle

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    summary:A continuous map ff of the interval is chaotic iff there is an increasing sequence of nonnegative integers TT such that the topological sequence entropy of ff relative to TT, hT(f)h_T(f), is positive ([FS]). On the other hand, for any increasing sequence of nonnegative integers TT there is a chaotic map ff of the interval such that hT(f)=0h_T(f)=0 ([H]). We prove that the same results hold for maps of the circle. We also prove some preliminary results concerning topological sequence entropy for maps of general compact metric spaces

    The structure of the space C(I,I) from the point of view of Sharkovsky stratification

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    AbstractWe study spaces of continuous self-maps of the interval whose Sharkovsky type does not exceed a given type (as well as some similarly defined spaces). We prove that they are of second Baire category which enables us to study genericity in them. Among others we prove that type-stability is generic. The notion of intensive property is introduced and we show that maps simultaneously satisfying countably many intensive properties form a dense set in the considered spaces. One of the auxiliary results widely used in the paper says that arbitrarily close to any map there is a piecewise monotone map with the same type which is constant on an interval containing its fixed point

    DISTRIBUTION OF SOME EUROPEAN LEPIDOPTERA BASED ON THE FINDINGS OF THEIR NON-ADULT STAGES PRESENTED THROUGH TROPHIC ASSOCIATIONS AND A QUANTITATIVE ANALYSIS OF THEIR PARASITOIDS

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    We examined 638 Lepidoptera specimens on the territories of 13 European countries in our search for parasitoids. We collected eggs, larvae and pupae. In total, 251 Lepidoptera species were identified, belonging to 169 genera from 30 families. Of the total sample, approximately one-third (32.23%) were parasitized. In 168 samples (26.42%), we identified only one parasitoid species per host. In addition to these data, 224 plant species from 114 genera were identified, of which the vast majority were feeding plants

    On the structure of the space of continuous maps with zero topological entropy

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    Topological sequence entropy for maps of the circle

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    summary:A continuous map ff of the interval is chaotic iff there is an increasing sequence of nonnegative integers TT such that the topological sequence entropy of ff relative to TT, hT(f)h_T(f), is positive ([FS]). On the other hand, for any increasing sequence of nonnegative integers TT there is a chaotic map ff of the interval such that hT(f)=0h_T(f)=0 ([H]). We prove that the same results hold for maps of the circle. We also prove some preliminary results concerning topological sequence entropy for maps of general compact metric spaces

    Topological sequence entropy for maps of the interval

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    Comparison of Selected Classification Methods in Automatic Speaker Identification

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    This paper presents performance comparison of three different classifiers applied in Automatic SpeakeR Identification: Gaussian Mixture Model (GMM), k Nearest Neighbor algorithm (kNN) and Support Vector Machines (SVM). Each classifier represents different approach to the classification procedure. Mel Frequency Cepstral Coefficients (MFCC) were used as feature vectors in the experiment. Classification precision for each classifier was evaluated on frame and recording level. Experiments were conducted over dataset MobilDat-SK, which was recorded in mobile telecommunication network. Experiment shows promising results for SVM classifier
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