32,388 research outputs found

    An Algorithm for Computing the Ratliff-Rush Closure

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    Let I\subset K[x,y] be a -primary monomial ideal where K is a field. This paper produces an algorithm for computing the Ratliff-Rush closure I for the ideal I= whenever m_{i} is contained in the integral closure of the ideal . This generalizes of the work of Crispin \cite{Cri}. Also, it provides generalizations and answers for some questions given in \cite{HJLS}, and enables us to construct infinite families of Ratliff-Rush ideals

    Mach Band Attenuation by Adjacent Stimuli

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    Mach bands are illusory bright and dark bands seen where a luminance plateau meets a ramp, as in half-shadows or penumbras. Ratliff, Milkman, and Kaufman (1983) showed that Mach bands are attenuated by placing stimuli, such as bars, nearby. An experiment comparing Mach band attenuation for bar and Craik-O'Brien stimuli shows that they are equally effective in attenuating Mach bands. The results suggest that the high-frequency components of a stimulus adjacent to a ramp are responsible for the attenuation. Thc findings are interpreted in terms of a recent filling-in model of brighness perception and the results of computer simulations of stimuli used by Ratliff et al and the present experiment are shown

    Jennifer Kay Ratliff in a Senior Mezzo-Soprano Recital

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    This is the program for the senior mezzo-soprano recital of Jennifer Kay Ratliff. Ms. Ratliff was accompanied on the piano by Diana Ellis. This recital took place on February 4, 2000, in the McBeth Recital Hall in the Mabee Fine Arts Center
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