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Expansive Subdynamics   总被引:5,自引:0,他引:5  
This paper provides a framework for studying the dynamics of commuting homeomorphisms. Let be a continuous action of on an infinite compact metric space. For each subspace of we introduce a notion of expansiveness for along , and show that there are nonexpansive subspaces in every dimension . For each the set of expansive -dimensional subspaces is open in the Grassmann manifold of all -dimensional subspaces of . Various dynamical properties of are constant, or vary nicely, within a connected component of , but change abruptly when passing from one expansive component to another. We give several examples of this sort of ``phase transition,' including the topological and measure-theoretic directional entropies studied by Milnor, zeta functions, and dimension groups. For we show that, except for one unresolved case, every open set of directions whose complement is nonempty can arise as an . The unresolved case is that of the complement of a single irrational direction. Algebraic examples using commuting automorphisms of compact abelian groups are an important source of phenomena, and we study several instances in detail. We conclude with a set of problems and research directions suggested by our analysis.

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I critically discuss the account of self-knowledge presented in Dorit Bar-On’s Speaking My Mind (OUP 2004), focusing on Bar-On’s understanding of what makes our capacity for self-knowledge puzzling and on her ‘neo-expressivist’ solution to the puzzle. I argue that there is an important aspect of the problem of self-knowledge that Bar-On’s account does not sufficiently address. A satisfying account of self-knowledge must explain not merely how we are able to make accurate avowals about our own present mental states, but how we can reasonably regard ourselves as entitled to claim self-knowledge. Addressing this aspect of the problem of self-knowledge requires confronting questions about the metaphysical nature of mental states, questions that Bar-On’s approach seeks to avoid.  相似文献   
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Selected samples of sediments from cores taken in the Ala Wai Canal (south-east Oahu, Hawaii) have been analyzed for organosilicon (silicone) content. Observed levels of silicone range from just above the detection limit (≈0.01 ppm) to over 1 ppm, and vertical distribution in the sediment column generally increases upwards, with the highest silicone content in the most contemporary sediments (dated independantly( by 210Pb and 137Cs measurements). Further, there is clear evidence of spike events (i.e. high levels of silicone in older, buried sediments) which appear to be associated with major, documented storm events on the island os Oahu. Silicone assay was by solvent extraction, and quantitative spectrophotometric measurement at 7.95 μm. The Ala Wai Canal is an anthropogenic hydorgraphic feature on Oahu. © 1997 by John Wiley & Sons, Ltd.  相似文献   
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Carnitine insufficiency is reported in type 1 diabetes mellitus. To determine whether this is accompanied by defects in biosynthesis and/or renal uptake, liver and kidney were obtained from male Sprague-Dawley rats with streptozotocin-induced diabetes. Diabetic rats exhibited the metabolic consequences of type 1 diabetes, including hypoinsulinemia, hyperglycemia, and increased urine output. Systemic hypocarnitinemia, expressed as free carnitine levels, was evident in the plasma, liver, and kidney of diabetic rats. Compared to control rats, the low free carnitine in the plasma of diabetic rats was accompanied by decreased expression of γ-butyrobetaine hydroxylase in liver and kidney, suggesting impaired carnitine biosynthesis. Expression of organic cation transporter-2 in kidney was also reduced, indicating impaired renal reabsorption, and confirmed by the presence of elevated levels of free carnitine in the urine of diabetic rats. Insulin treatment of diabetic rats reversed the plasma hypocarnitinemia, increased the free carnitine content in both kidney and liver, and prevented urinary losses of free carnitine. This was associated with increased expression of γ-butyrobetaine hydroxylase and organic cation transporter-2. The results of our study indicate that type 1 diabetes induced with streptozotocin disrupts carnitine biosynthesis and renal uptake mechanisms, leading to carnitine insufficiency. These aberrations in carnitine homeostasis are prevented with daily insulin treatment.  相似文献   
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High performance hydrophobic interaction chromatography has been used to separate progestin receptors (PRs) from human uterus and from the T47D human breast cancer cell line. Reproducible separations of high resolution were achieved using a TSK Phenyl-5PW column and a reverse salt gradient of 400 mM to 0 mM sodium sulfate in phosphate buffer, pH 7.4. Peaks of radioactivity exhibiting hydrophobic behaviour were isolated, as well as a smaller proportion of specific bound receptors located in the void volume fraction. No differences in retention times were observed between uterine and breast cell line samples. When the technique was used in conjunction with rapid vertical tube sucrose density gradient centrifugation, the 8S sedimenting PR from fresh, low-salt cytosol always eluted with a retention time of 24 min. The natural 4S receptor chromatographed as a single peak at 29 min while the 4S receptor species from high-salt cytosol appeared as two distinct peaks of radioactivity with retention times of 29 and 33 min. While specific binding was shown to occur in the void volume of the column, the origin of these receptors were indeterminate. These results would suggest that under these conditions the 8S receptor occurs as a single hydrophobic class of protein, whereas the data provides evidence that transformed 4S receptor may be proportioned into two unequal entities as a function of exposure to salt.  相似文献   
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