4 research outputs found

    Bounded Fatou and Julia components of meromorphic functions

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    We completely characterise the bounded sets that arise as components of the Fatou and Julia sets of meromorphic functions. On the one hand, we prove that a bounded domain is a Fatou component of some meromorphic function if and only if it is regular. On the other hand, we prove that a planar continuum is a Julia component of some meromorphic function if and only if it has empty interior. We do so by constructing meromorphic functions with wandering continua using approximation theory.Comment: 15 pages, 4 figures. V2: We have revised the introduction, and introduced two new sections: Section 2 discusses and compare topological properties of Fatou components, while Section 3 establishes that certain bounded regular domains cannot arise as eventually periodic Fatou components of meromorphic function

    Emotion in language and speech:methodological issues in the coding of natural data

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    Researchers currently seek to improve validity in speech and language studies by adopting naturalistic procedures In emotion-display research, validity is threatened by standard experimental controls which diminish the naturalism of stimuli and responseranges. Were port two experiments comparing the adequacy of naturalistic with standard procedures. Experiment 1 had 158 judges code 89 samples of naturally-occurring emotional speech with free- choice emotion labels, and later with labels from a standard set. When free-choice labels were similar across judges, they were consistent with standard labels, but showed a range of intensity and contextual relevance. We recommend that future studies include wider options for judges when coding emotions. Experiment 2 compared valency ratings of words when presented in, or out of, context. Standard procedures score lexical valencies using affective dictionaries, disregarding natural contexts. Experiment 2 compared 23 judges' valency ratings of words presented individually, and later in their original context. Between 30% and 44% of words were rated differently in context (depending on the statistical significance level adopted). We concluded from Experiment 2 that, where small corpora adequately model a domain, the improved accuracy of valency rating achieved by presenting words in their natural context justifies the extra procedures required

    Interactions between negative energy balance, metabolic diseases, uterine health and immune response in transition dairy cows

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    The biological cycles of milk production and reproduction determine dairying profitability thus making management decisions dynamic and time-dependent. Diseases also negatively impact on net earnings of a dairy enterprise. Transition cows in particular face the challenge of negative energy balance (NEB) and/or disproportional energy metabolism (fatty liver, ketosis, subacute, acute ruminal acidosis); disturbed mineral utilization (milk fever, sub-clinical hypocalcemia); and perturbed immune function (retained placenta, metritis, mastitis). Consequently NEB and reduced dry matter intake are aggravated. The combined effects of all these challenges are reduced fertility and milk production resulting in diminishing profits. Risk factors such as NEB, inflammation and impairment of the immune response are highly cause-and-effect related. Thus, managing cows during the transition period should be geared toward reducing NEB or feeding specially formulated diets to improve immunity. Given that all cows experience a reduced feed intake and body condition, infection and inflammation of the uterus after calving, there is a need for further research on the immunology of transition dairy cows. Integrative approaches at the molecular, cellular and animal level may unravel the complex interactions between disturbed metabolism and immune function that predispose cows to periparturient diseases.Institute of Food, Nutrition and Wellbeing (IFNuW) from the University of Pretoria, South Africa.http://www.elsevier.com/locate/anireproscihb2014ab201
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