196,041 research outputs found

    The regularity index of up to 2n−1 equimultiple fat points of P^n

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    Abstract. Let X = mP_1 + +mP_n+k be a fat point subscheme of P^n, where Supp(X) consists of n + k distinct points which generate P^n: We study the regularity index tau (X) of X, which is the least degree in which the Hilbert function of X equals its Hilbert polynomial. We prove that the generalized Segre's bound for tau (X) holds if n>=4 and there are k+3 points of Supp(X) on a linear 3-dimensional subspace. We assume Supp(X) is not in general position and call d the least integer for which there exists a linear subspace of dimension d containing at least d+2 points of Supp(X). We prove that the generalized Segre's bound holds for simple points when either 3<=k<=n+1 and d>k-3 or k = 4 with no restriction on d. For m greater than or equal to 2 we prove the generalized Segre's bound when Supp(X) consists of n+4 points and either there are at least 3 points on a line or at least 5 points on a plane or at least 6 points on a linear 3-dimensional subspace. Finally we prove that, in general, 2m-1<=tau(X) <= 2m when 3<=k<=n-1 and d > k-1; and we extend this result to the non-equimultiple case. We also provide cases in which the previous bound gives the generalized Segre's bound

    Dr. Duane M. Jackson, Morehouse College, July 2011

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    This video is a conversation with Dr. Duane M. Jackson. Dr. Jackson talks about his paper, "Recall and the Serial Position Effect: The Role of Primacy and Recency on Accounting Students' Performance." Jackie Daniel, AUC Woodruff Library, is the interviewer

    "Reflections on the subject of Emigration from Europe with a view to Settlement in the United States" By M. Carey.

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    "Reflections on the subject of Emigration from Europe with a view to Settlement in the United States: containing bried sketches of the moral and political character of those states. By M. Carey, member of the American philosophical, and of the American Antiquarian Society, and author of The Olive Branch, Cindiciae Hibernicae, essays on banking, on political economy, and on internal improvement. To which are now added the English editor's comments on the subject; together with Important Advice to Emigrants, and Cautions Against Impositions Practiced in the Outports

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods

    Dr. Glendon Swarthout

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    Hosted by Roger M. Busfield, MSU Assistant Professor of Speech and Theater, Meet the Author is designed to introduce a general audience to a contemporary author and their work through in-depth interviews. This episode features a conversation between Dr. Glendon Swarthout, prolific author and English professor at MSU, and assistant professors Sam S. Baskett and Theodore B. Strandness
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