186,586 research outputs found

    Gerald P. and Helen M. Feehan headstone in St. Francis of Assisi Cemetery

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    Gerald P. and Helen M. Feehan headstone in St. Francis of Assisi Cemetery in Outer Cove

    Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions

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    We prove Lojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions using Sobolev spaces which impose minimal regularity requirements on pairs of connections and sections. The Lojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions generalize that of the pure Yang–Mills energy function due to the first author (Feehan, 2014) for base manifolds of arbitrary dimension and due to R˚ade (1992, Proposition 7.2) for dimensions two and three

    An SO(3)-monopole cobordism formula relating Donaldson and Seiberg-Witten invariants

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    We prove an analogue of the Kotschick-Morgan conjecture in the context of SO(3) monopoles, obtaining a formula relating the Donaldson and Seiberg-Witten invariants of smooth four-manifolds using the SO(3)-monopole cobordism. The main technical difficulty in the SO(3)-monopole program relating the Seiberg-Witten and Donaldson invariants has been to compute intersection pairings on links of strata of reducible SO(3) monopoles, namely the moduli spaces of Seiberg-Witten monopoles lying in lower-level strata of the Uhlenbeck compactification of the moduli space of SO(3) monopoles (Feehan and Leness, PU(2) monopoles. I. Regularity, Uhlenback compactness, and transversality, 1998). In this monograph, we prove - modulo a gluing theorem which is an extension of our earlier work in PU(2) monopoles. III: Existence of gluing and obstruction maps (arXiv:math/9907107) - that these intersection pairings can be expressed in terms of topological data and Seiberg-Witten invariants of the four-manifold. Our proofs that the SO(3)-monopole cobordism yields both the Superconformal Simple Type Conjecture of Moore, Mariño, and Peradze (Superconformal invariance and the geography of four-manifolds, 1999; Four-manifold geography and superconformal symmetry, 1999) and Witten's Conjecture (Monopoles and four-manifolds, 1994) in full generality for all closed, oriented, smooth four-manifolds with and odd appear in Feehan and Leness, Superconformal simple type and Witten's conjecture (arXiv:1408.5085) and monopole cobordism and superconformal simple type (arXiv:1408.5307).Preface Chapter 1. Introduction Chapter 2. Preliminaries Chapter 3. Diagonals of symmetric products of manifolds Chapter 4. A partial Thom–Mather structure on symmetric products Chapter 5. The instanton moduli space with spliced ends Chapter 6. The space of global splicing data Chapter 7. Obstruction bundle Chapter 8. Link of an ideal Seiberg–Witten moduli space Chapter 9. Cohomology and duality Chapter 10. Computation of the intersection numbers Chapter 11. Kotschick–Morgan Conjecture Glossary of Notatio

    sj-pdf-1-smx-10.1177_00811750221109568 – Supplemental material for Survey Methods for Estimating the Size of Weak-Tie Personal Networks

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    Supplemental material, sj-pdf-1-smx-10.1177_00811750221109568 for Survey Methods for Estimating the Size of Weak-Tie Personal Networks by Dennis M. Feehan, Vo Hai Son and Abu Abdul-Quader in Sociological Methodology</p

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Quantifying uncertainty of incipient motion thresholds in gravel-bedded rivers using a grain-scale force-balance model: Software and Dataset

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    This repository contains the supporting python scripts for the manuscript "Quantifying uncertainty of incipient motion thresholds in gravel-bedded rivers using a grain-scale force-balance model" By S.A. Feehan, S.W. McCoy, J.S. Scheingross, and M.H. Gardner. Included are the codes to create figures 1 – 5: the generation of force balance parameter distributions, Monte Carlo simulations, exploration of the influence of roughness layer and vertical grain location on uncertainty estimates, estimation of power law coefficients given varying assumptions of the physical constraints, and matching of the predicted entrainment thresholds against flume and field data, and demonstrating how variations in the threshold for incipient motion can explain scatter in existing measurements of bedload flux. This material is provided in individual python scripts along with data compilation for comparison.  These codes were designed for the analysis presented in Feehan et. al. 2023, JGR-Earth Surface. Alternate uses may require modification. Codes were written by Scott A. Feehan and Scott W. McCoy. Questions can be directed to Scott A. Feehan ([email protected]).</p

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    Withdrawn by Author

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    &lt;p&gt;Withdrawn by Author&nbsp;&lt;/p&gt
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