2,795 research outputs found

    Discrete concavity and the half-plane property

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    Murota et al. have recently developed a theory of discrete convex analysis which concerns M-convex functions on jump systems. We introduce here a family of M-concave functions arising naturally from polynomials (over a field of generalized Puiseux series) with prescribed non-vanishing properties. This family contains several of the most studied M-concave functions in the literature. In the language of tropical geometry we study the tropicalization of the space of polynomials with the half-plane property, and show that it is strictly contained in the space of M-concave functions. We also provide a short proof of Speyer's hive theorem which he used to give a new proof of Horn's conjecture on eigenvalues of sums of Hermitian matrices.Comment: 14 pages. The proof of Theorem 4 is corrected

    Prevalence of specific learning disabilities among Gujarati medium primary school children

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    Introduction: Learning disability in children is an assorted group of disorders where the individual unpredictably fails to proficiently attain, regain, and use information. Objective: The objective of this study was to measure the prevalence of specific learning disabilities (SpLDs) such as dyslexia and dysgraphia among the Gujarati medium primary schoolchildren. Methods: A cross-sectional study was conducted in public schools of Gujarati medium among children aged 7–12 years from the second, third, and fourth standard. After obtaining a sociodemographic profile, a multilevel screening approach that begins with the identification of educational backwardness followed by exclusion of vision, hearing impairment, chronic health conditions, and subnormal intelligence was carried out among these children. In the last stage, remaining children were subjected to the National Institute of Mental Health and Neurosciences test for SpLDs. Results: The prevalence of SpLDs was 9.6% in sampled children, whereas 7.4%, 8.6%, and 7.1% had dyslexia, dysgraphia, and dyscalculia, respectively. Among children diagnosed with SpLD, 65.7% (n=25/38) of children had a combination of all three types of SpLDs. Conclusions: This study suggests that the prevalence of SpLDs in public schools is the same as private schools and metro center. We have used a multilevel screening approach that can be utilized for early identification of children with SpLD by Rashtriya Bal Swasthya Karyakram team without imposing load on specialist services. There is a need for sensitization of school teacher for timely referral, remediation strategies, and policy interventions to improve school performance and to reduce dropouts of schoolchildren

    Manipulation monitoring and robot intervention in complex manipulation sequences

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    Compared to machines, humans are intelligent and dexterous; they are indispensable for many complex tasks in areas such as flexible manufacturing or scientific experimentation. However, they are also subject to fatigue and inattention, which may cause errors. This motivates automated monitoring systems that verify the correct execution of manipulation sequences. To be practical, such a monitoring system should not require laborious programming.Peer ReviewedPostprint (author's final draft
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