49,727 research outputs found

    New estimates of Hilbert-Kunz multiplicities for local rings of fixed dimension

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    We present results on the Watanabe-Yoshida conjecture for the Hilbert-Kunz multiplicity of a local ring of positive characteristic. By improving on a "volume estimate" giving a lower bound for Hilbert-Kunz multiplicity, we obtain the conjecture when the ring either has Hilbert-Samuel multiplicity less than or equal to five, or dimension less than or equal to six. For non-regular rings with fixed dimension, a new lower bound for the Hilbert-Kunz multiplicity is obtained.Comment: minor corrections, final version, accepted for publication in Nagoya Math Journa

    [Review of] H. Henrietta Stockel. Women of the Apache Nation: Voices of Truth

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    At a time when books about Native American women need to provide the reader with unromanticized images of strong women in their own right, Stockel’s book, Women of the Apache Nation, succeeds only partially. The sixty-two page historical introduction and the two shorter introductions to the Mescalero (New Mexico) and Fort Sill (Oklahoma) Apache, while important to situating the women’s narratives that follow, are flawed by inaccuracies, overly dependent on secondary sources, and replete with unnecessary references to historical male figures and male relatives. Stockel, for example, incorrectly uses the term ”Western pache” which does not include Mescalero or Fort Sill (cf. Keith Basso, “Western Apache,” in Handbook of North American Indians. Vol 10. Washington, DC: Smithsonian Institution, 1983, 462-488). The photos enhance the narrative; a map would have been helpful. The writing is personal, but for this reviewer, overly sentimental

    The Effect of State Income Tax Structure On Interstate Migration

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    This research paper addresses the issue of whether state income tax treatment affects the location decision of individuals. There have been some estimates of the effects of tax differences on the migration patterns of individuals, but this is a hard issue to research. Data are often not available and it is very difficult to compute all of the taxes faced by individuals. Also, taxes are not the only thing that influences people's decisions of where to live. Other amenities are important, including public services, weather, proximity to family, and employment opportunities. In fact, individuals may be compensated for higher taxes by these other amenities. For example, a high taxing state might have a terrific system of public education, which individuals are willing to support via higher taxes. Higher wages may be offered to compensate for higher taxes. Unless we try to separate these different influences, it will be very difficult to offer policy advice regarding whether or not individual's migration patterns are affected by taxes. Report #7

    Genetics Crime and Justice

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    This review is unashamedly from the perspective of English law because busy United Kingdom criminal law solicitors and barristers mostly wish to know what the law states, which case is a precedent case and whether the author has provided up-to-date legal information. This is because legal practitioners deal with real and urgent cases. The English Income Tax Act gained Royal Assent in 1799 the first government attempt to stop early tax avoidance. Later, tax avoidance schemes (which in English Law were deemed a legitimate method of minimising one payment of taxation) became de rigueur all over the world and often involved creation of Deeds of Covenant and Trusts, notably Discretionary Trusts under civil law. Man’s ingenuity knows no bounds and this applies to man’s characteristic of criminality as it does to scholarship, enterprise and innovation. Despite protestations by some countries police agencies, contrary to the rise of crime, the fact is that that crime is increasing exponentially worldwide, but the number of people committing crime is not increasing because many crimes are repeated crimes committed by persons with habitual criminal behaviour, ie hard-core criminals

    Towards a Pattern Vocabulary for Dissemination Techniques

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