103 research outputs found

    Relative Rota-Baxter operators of nonzero weights on Lie Triple Systems

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    In this paper, we introduce the notion of a relative Rota-Baxter operator of weight λ\lambda on a Lie triple system with respect to an action on another Lie triple system, which can be characterized by the graph of their semidirect product. We also establish a cohomology theory for a relative Rota-Baxter operator of weight λ\lambda on Lie triple systems and use the first cohomology group to classify infinitesimal deformations.Comment: 14pages. arXiv admin note: substantial text overlap with arXiv:2204.02196 by other author

    Deformations of relative Rota-Baxter operators on Leibniz Triple Systems

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    In this paper, we introduce the cohomology theory of relative Rota-Baxter operators on Leibniz triple systems. We use the cohomological approach to study linear and formal deformations of relative Rota-Baxter operators. In particular, formal deformations and extendibility of order nn deformations of a relative Rota-Baxter operators are also characterized in terms of the cohomology theory. We also consider the relationship between cohomology of relative Rota-Baxter operators on Leibniz algebras and associated Leibniz triple systems.Comment: 24pages. arXiv admin note: text overlap with arXiv:2005.00729, arXiv:2204.04872 by other author

    Offline Pseudo Relevance Feedback for Efficient and Effective Single-pass Dense Retrieval

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    Dense retrieval has made significant advancements in information retrieval (IR) by achieving high levels of effectiveness while maintaining online efficiency during a single-pass retrieval process. However, the application of pseudo relevance feedback (PRF) to further enhance retrieval effectiveness results in a doubling of online latency. To address this challenge, this paper presents a single-pass dense retrieval framework that shifts the PRF process offline through the utilization of pre-generated pseudo-queries. As a result, online retrieval is reduced to a single matching with the pseudo-queries, hence providing faster online retrieval. The effectiveness of the proposed approach is evaluated on the standard TREC DL and HARD datasets, and the results demonstrate its promise. Our code is openly available at https://github.com/Rosenberg37/OPRF.Comment: Accepted at SIGIR202

    Deletion of the V2 vasopressin receptor gene in two Chinese patients with nephrogenic diabetes insipidus

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    BACKGROUND: Congenital nephrogenic diabetes insipidus (NDI) is a rare X-linked inherited disorder characterized by the excretion of large volumes of diluted urine and caused by mutations in arginine vasopressin receptor 2 (AVPR2) gene. To investigate the mutation of AVPR2 gene in a Chinese family with congenital NDI, we screened AVPR2 gene in two NDI patients and eight family members by PCR amplification and direct sequencing. RESULTS: Five specific fragments, covering entire coding sequence and their flanking intronic sequences of AVPR2 gene, were not observed in both patients, while those fragments were all detected in the control subjects. Several different fragments around the AVPR2 locus were amplified step by step. It was revealed that a genomic fragment of 5,995-bp, which contained the entire AVPR2 gene and the last exon (exon 22) of the C1 gene, was deleted and a 3-bp (GAG) was inserted. Examination of the other family members showed that the mothers and the grandmother were carriers for this deletion. CONCLUSION: Our findings suggest that the two patients in a Chinese family suffering from congenital NDI had a 5,995-bp deletion and 3-bp (GAG) insertion at Xq28. The deletion contained the entire AVPR2 gene and exon 22 of the C1 gene

    Preparation of terminal blend/ grafting activated crumb rubber composite modified asphalt based on response surface methodology

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    Recycling waste tires, crushing them into crumb rubber (CR) and adding them to asphalt can effectively improve the performance and prolong the service life of asphalt pavement. However, the crumb rubber modified asphalt (CRMA) prepared by aforementioned process is prone to segregation during storage and transportation. The terminal blend rubber asphalt (TB) prepared with fine rubber powder by high-speed shearing at high temperature for long time, which effectively improves the storage stability and working performance of crumb rubber modified asphalt, but reduces the high-temperature performance. In this study, grafting activated crumb rubber (GACR) was incorporated into TB to improve its high temperature performance without impairing storage stability. Using shearing temperature, shearing time and grafting activated crumb rubber content as influencing factors, the response surface method (RSM) was carried out to optimize the preparation process. The results indicated that 180°C was a critical temperature, and the swelling of crumb rubber dominated with the temperature below it, but the desulfurization prevailed with the temperature above it. The extension of time favored the swelling of crumb rubber at low temperature but promoted desulfurization at high temperature. With the increase of crumb rubber content, the high temperature performance of modified asphalt improved whereas the storage stability deteriorated. According to the determination of response values and the prediction of optimal values, the suitable preparation conditions and parameters were recommended as shearing temperature of 190°C, shearing time of 90 min, and GACR content of 15%. The composite modified asphalt prepared through the optimized process showed good high temperature stability and storage stability

    Aptamer base: a collaborative knowledge base to describe aptamers and SELEX experiments

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    Over the past several decades, rapid developments in both molecular and information technology have collectively increased our ability to understand molecular recognition. One emerging area of interest in molecular recognition research includes the isolation of aptamers. Aptamers are single-stranded nucleic acid or amino acid polymers that recognize and bind to targets with high affinity and selectivity. While research has focused on collecting aptamers and their interactions, most of the information regarding experimental methods remains in the unstructured and textual format of peer reviewed publications. To address this, we present the Aptamer Base, a database that provides detailed, structured information about the experimental conditions under which aptamers were selected and their binding affinity quantified. The open collaborative nature of the Aptamer Base provides the community with a unique resource that can be updated and curated in a decentralized manner, thereby accommodating the ever evolving field of aptamer research

    How Individual Investors React to Negative Events in the FinTech Era? Evidence from China’s Peer-to-Peer Lending

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    Inexperienced individual investors are the main players in the emerging FinTech industry, and also suffer from frequent negative events in the markets. With 3,110 negative events and 467,594 transaction data of China’s peer-to-peer lending market from 2015 to 2018, this paper analyzes how different types of platform negative events affect the decision-making of individual investors. We find that individual investors only have a significant negative reaction to moral hazard exposure events such as platforms absconding, with relatively ignorance of other types of negative events. The negative effect is rapid but short-lived, and shows differences among platforms of different background and attributes. By the mediation analysis, we find that public attention can be a mediator and explain the pattern of the impact that absconding events have on individual investors. Related risk prevention, regulation, investor education issues are discussed and further suggestions are also put forward for both individual investors and regulators
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