12,383 research outputs found

    Riesz capacity: Hausdorff measure and extremal ratios

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    Riesz capacity measures the size of a set in Rn\mathbb{R}^n in terms of a pairwise interaction kernel xyp|x-y|^{-p} with exponent pInthefirstpartofthedissertation,thedecayrateofRieszcapacityastheexponentp In the first part of the dissertation, the decay rate of Riesz capacity as the exponent pincreasesto increases to nisshowntoyieldtheHausdorffmeasureoftheset.Theresultappliestostronglyrectifiablesets,andsoinparticulartosubmanifoldsofEuclideanspace.Forstrictlyselfsimilarfractals,aonesideddecayestimateisfound.Howdoesthecapacitychangewhentheexponent is shown to yield the Hausdorff measure of the set. The result applies to strongly rectifiable sets, and so in particular to submanifolds of Euclidean space. For strictly self-similar fractals, a one-sided decay estimate is found. How does the capacity change when the exponent pincreases?AlongstandingconjecturebyPoˊlyaandSzego˝claimsthattheballmaximizestheratioof increases? A longstanding conjecture by P\'olya and Szeg\H{o} claims that the ball maximizes the ratio of qcapacityover-capacity over pcapacitywhen-capacity when q>p>0.Inthesecondpartofthedissertation,weinvestigatethecapacityratiowhen. In the second part of the dissertation, we investigate the capacity ratio when pSubmission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2026-02-19 without embargo termsThe student, Qiuling Fan, accepted the attached license on 2025-11-19 at 04:41.The student, Qiuling Fan, submitted this Dissertation for approval on 2025-11-19 at 04:47.This Dissertation was approved for publication on 2025-12-01 at 14:40.DSpace SAF Submission Ingestion Package generated from Vireo submission #22891 on 2026-02-19 at 18:24:5

    Influence of surface coating on structure and properties of metallic lithium anode for rechargeable Li-O2 battery

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    AbstractAmorphous lithium phosphorous oxynitride film was coated directly on pre-treated lithium metal as anode of lithium air battery by radio-frequency sputtering technique from a Li3PO4 target. The structure and composition of modified anode was analyzed before and after charge/discharge test in a lithium-air battery, which comprises 0.5M LiNO3/TEGDME as the electrolyte and super P carbon as cathode. Batteries were galvanostatically discharged by an Arbin BT-2000 battery tester between open current voltage and 2.15V vs. Li+/Li at various current regimes ranging from 0.1–0.4mA/cm2. Compared with fresh lithium, LIPON-coated anode exhibited better electrochemical performance. Good charging efficiency of 90% at a narrower voltage gap with high ionic conductivity of 9.4×10−5S/cm was achieved through optimizing lithium pre-treated conditions, sputtering N2 flows and suitable solute for electrolyte

    sj-docx-1-npx-10.1177_1934578X241235604 - Supplemental material for Mechanism for Huanglian Jiedu Decoction-Based Therapy for MAFLD Analyzed Through Network Pharmacology and Experimental Verification

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    Supplemental material, sj-docx-1-npx-10.1177_1934578X241235604 for Mechanism for Huanglian Jiedu Decoction-Based Therapy for MAFLD Analyzed Through Network Pharmacology and Experimental Verification by Jixian Zheng, Anni Zheng, Sufei Song, Mengyu Lin and Tao Liu, Qiuling Xu in Natural Product Communications</p

    Author Identification from Song Lyrics

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    Machine Learning (ML) tools have been used extensively in a wide variety of domains recently. Due the enormous amount of data being produced, machine learning techniques are being heavily used to make sense of data & derive meaningful results. Using machine learning tools, we can turn the data into knowledge. Music is one of the truest forms of art. Bangladesh has a great history of music with a great tradition of song writing over centuries. Authorship attribution is the way of identifying the author from a linguistic corpus. This paper demonstrates a guideline to identify the author of a Bengali song from the lyrics of that song using machine learning. This research work presents the first work on machine learning approach for author attribution from the lyrics of a song. Here six methods of machine learning are used for the author identification and high accuracies have been achieved from these methods. It is observed that Naïve Bayes method provides higher accuracy in comparison with the other methods

    Song

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    Author attribution from Rudolph, 240. Printed on yellow paper with black ink. Set to the tune of "Happy land of Canaan". First line "You Rebels come along and listen to my song"

    The Singer or the Song? Developments in Performers' Rights from the Perspective of a Cultural Economist

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    Over the last century, performers gradually acquired statutory protection of their economic and moral rights. These rights are not copyright in the legal sense but neighboring rights and until recently, they were mainly remuneration rights that are collectively administered. With the WPPT (WIPO Performers and Phonograms Treaty), performers now have individual exclusive rights for digital performances; this leads to the question: what has motivated this change – is it a change in the perception of the value of performer or a change brought about by the changing technology of copying or, indeed, a change that reflects different economic costs and benefits? The paper discusses the role of copyright law as an incentive to performers and asks if the economic role of the performer is so different from that of the author. The conclusion is that a complex interaction of the legal regulations, economic conditions and institutional arrangements for administering these new rights will determine the outcome

    Freemasons\u27 Song

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    Song concerning pride in Freemasonryhttps://egrove.olemiss.edu/kgbsides_uk/1560/thumbnail.jp

    Northumberland Election Song

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    A song for a political candidate.https://egrove.olemiss.edu/kgbsides_uk/1899/thumbnail.jp

    Song of Haymakers

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    A song about working in the hayfields during summer.https://egrove.olemiss.edu/kgbsides_uk/1628/thumbnail.jp

    Appendix to Esther's Song

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    Notes - 'Esther's Song' with descriptive entries on friends, associates, and family members (125 pages)Appendi
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