7,451 research outputs found

    Inspection report Wyggeston and Queen Elizabeth I College

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    Date(s) of inspection: 2–6 December 200

    Finite random coverings of one-complexes and the Euler characteristic

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    This article presents an algebraic topology perspective on the problem of finding a complete coverage probability of a one dimensional domain XX by a random covering, and develops techniques applicable to the problem beyond the one dimensional case. In particular we obtain a general formula for the chance that a collection of finitely many compact connected random sets placed on XX has a union equal to XX. The result is derived under certain topological assumptions on the shape of the covering sets (the covering ought to be {\em good}, which holds if the diameter of the covering elements does not exceed a certain size), but no a priori requirements on their distribution. An upper bound for the coverage probability is also obtained as a consequence of the concentration inequality. The techniques rely on a formulation of the coverage criteria in terms of the Euler characteristic of the nerve complex associated to the random covering.Comment: 25 pages,2 figures; final published versio

    Students Learned Lessons Well

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    Editor’s note: It’s clear that one of the many lessons Charlotte Filer ’54 taught her students was accuracy, accuracy, accuracy. And a number of them caught an error in the last issue of Linfield Magazine. Marvin Henberg wrote that “journalism became a separate major in 1970.” Many readers with journalism degrees prior to that time wrote to protest this date, the result of a typographical error which we regret. The actual date for the journalism major was 1950. As is the case with many Linfield professors, Filer gave her students much more than just class time. She became an integral part of their lives and careers and many remain in touch with her to this day

    The Index Effect: An Investigation of the Price, Volume and Trading Effects Surrounding Changes to the S & P Australian Indices

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    This paper examines the stock price and volume effects surrounding the announcement of constituent changes to the S&P/ASX 200 and four supplementary indices. Between April 2000 and December 2002 additions to (deletions from) the ASX 200 were associated with a significant price rise (fall) over the 10 day period following the market announcement of the change. Additions (deletions) also displayed a significant rise (fall) on the announcement date itself. These findings were corroborated by significant increases in trading volume over the same intervals, suggesting heavy trading activity by index funds in response to changes to the ASX 200. Following the implementation of these changes, both additions and deletions experienced a significant price reversion, supporting the price pressure hypothesis. In contrast, none of the supplementary indices displayed evidence of stock price or volume effects, thereby precluding the information and liquidity hypotheses as viable explanations for the findings of this research.Index change; price effect; volume effect; index fund; price pressure.
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