118,120 research outputs found
Letter from Dr. James Burkholder: 1996-07-31
Letter from Dr. James Burkholder regarding program in violation of the Dental Practice Act. Document includes letter to Dean Dominick DePaola, Dean Ronald Johnson, and Dean Kenneth L. Kalkwarf from Hadley Hall.https://scholarworks.utrgv.edu/hcard/1092/thumbnail.jp
Study of the Separation of Ra-D from Rs-E. Comparison of Different Methods.
All elements with atomic number greeter than eighty-three(bismuth) are radioactive. Some of these elements have short half-lives and some have long half-lives. |In radioactive decay, the element which decays is called the parent, and the one which is formed is called the daughter. If the parent has a much longer half-life than its daughter, a special kind of equilibrium called secular equilibrium can be established. Such an equilibrium is formed between the isotopes of lead and bismuth, in which lead-210(Ra.-D) has a half-life of 22.3 years and bismuth-210(Ra-E) has a half-life of 5.0 days.ProQuest Traditional Publishing Optio
Sums of independent random variables and the Burkholder transforms
This note shows a connection between the unconditionally a.e. convergence of series with independent increments and the a.e. convergence of their Burkholder transforms. Using this result, it is then proved that the
L
1
{L_1}
-bounded condition of Burkholder is the best one in the class of martingales, which assures the a.e. convergence of their transforms.</p
Burkholder–Davis–Gundy Inequalities in UMD Banach Spaces
In this paper we prove Burkholder–Davis–Gundy inequalities for a general martingale M with values in a UMD Banach space X. Assuming that M= 0 , we show that the following two-sided inequality holds for all 1 ≤ p' ∞: [Figure not available: see fulltext.] Here γ([[M]]t) is the L 2-norm of the unique Gaussian measure on X having [[M]]t(x∗,y∗):=[⟨M,x∗⟩,⟨M,y∗⟩]t as its covariance bilinear form. This extends to general UMD spaces a recent result by Veraar and the author, where a pointwise version of (⋆) was proved for UMD Banach functions spaces X. We show that for continuous martingales, (⋆) holds for all 0 ' p' ∞, and that for purely discontinuous martingales the right-hand side of (⋆) can be expressed more explicitly in terms of the jumps of M. For martingales with independent increments, (⋆) is shown to hold more generally in reflexive Banach spaces X with finite cotype. In the converse direction, we show that the validity of (⋆) for arbitrary martingales implies the UMD property for X. As an application we prove various Itô isomorphisms for vector-valued stochastic integrals with respect to general martingales, which extends earlier results by van Neerven, Veraar, and Weis for vector-valued stochastic integrals with respect to a Brownian motion. We also provide Itô isomorphisms for vector-valued stochastic integrals with respect to compensated Poisson and general random measures. Analysi
A. Zena Burkholder to Rachel Bodley
Letter to Dean Rachel Bodley requesting information about Woman's Medical College of Pennsylvania requirements and catalog; with draft reply by Bodley
A Weak Type Inequality for Martingale Transforms and Other Subordinate Martingales
We study a problem of finding the best constant in a weak type inequality for martingale transforms extending the result of Burkholder (1966). First, we study the inequality for the discrete-time martingale case. We present examples of martingales that give good lower estimates of the best constant. We then find a biconcave function to prove that the supremum of these lower estimates is in fact the best constant. We use this biconcave function to prove a sharp weak type inequality for differentially subordinate martingales with the same best constant, and by approximation a similar inequality for stochastic integrals. We generalize these results to the continuous-time case and give an application to harmonic functions.Made available in DSpace on 2015-09-28T15:19:40Z (GMT). No. of bitstreams: 2
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Previous issue date: 2003Embargo set by: Seth Robbins for item 88096
Lift date: Forever
Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDsRestricted to the U of I community idenfinitely during batch ingest of legacy ETDsU of I Only43 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003
MNDO calculations on diazirines
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Going Beyond Counting First Authors in Author Co-citation Analysis
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
Square Dancing with the Stars to Enhance Dynamic Hirschman Linkages?
In this Presidential Address, the author takes the reader on a reconnaissance of his life and time as a regional scientist. He points out scenery he found scintillating along the way, hoping that some may pick up the banner and chew on a few of the ideas for a while. He suggests a revisit to Albert O. Hirschman’s notion of key sectors and more empirical analysis related to Marcus Berliant’s and Masahisa Fujita’s notion of knowledge creation and transfer.Presidential Address, San Antonio, Texas, March 29, 2014 (53rd Meetings of the Southern Regional Science Association
Appropriate Similarity Measures for Author Cocitation Analysis
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
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