4,040 research outputs found

    Primariness of some spaces of continuous functions

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    On minimally subspace-comparable F-spaces

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    AbstractAn F-space (complete metric linear space) is minimal if it admits no strictly weaker linear Hausdorff topology, and quotient (q-) minimal if all of its Hausdorff quotients are minimal. Two F-spaces are (q-minimally) minimally s-comparable if they have no isomorphic (q-) nonminimal closed linear subspaces. It is proved that if X, Y are (q-minimally (resp., minimally) s-comparable F-subspaces of an arbitrary topological linear space E (resp., with X ∩ Y = {0}), then X + Y is an F-subspace of E. Also, if X1,…, Xn are F-subspaces of E, then X1 + ··· + Xn is an F-subspace of E, provided that XiF and XjG are minimally s-comparable whenever F and G are closed minimal subspaces of Xi and Xj, i ≠ j. These are analogs of some results due to Gurariǐ and Rosenthal concerning totally incomparable Banach spaces

    Taste Responsiveness in Eating Disorders

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    Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/75756/1/j.1749-6632.1989.tb53260.x.pd

    True preimages of compact or separable sets for functional analysts

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    summary:We discuss various results on the existence of `true' preimages under continuous open maps between FF-spaces, FF-lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts

    Linear programming can help identify practical solutions to improve the nutritional quality of food aid.

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    OBJECTIVES: To assess the nutritional quality of food aid delivered by food banks in France and to identify practical modifications to improve it. DESIGN: National-level data were collected for all food aid distributed by French food banks in 2004, and its nutrient content per 2000 kcal was estimated and compared with French recommendations for adults. Starting with the actual donation and allowing new foods into the food aid donation, linear programming was used to identify the minimum changes required in the actual donation to achieve the French recommendations. RESULTS: French food-bank-delivered food aid does not achieve the French recommendations for dietary fibre, ascorbic acid, vitamin D, folate, magnesium, docosahexaenoic acid, alpha-linolenic acid and the percentage of energy from saturated fatty acids. Linear programming analysis showed that these recommendations are achievable if more fruits, vegetables, legumes and fish were collected and less cheese, refined cereals and foods rich in fat, sugar and/or salt. In addition, new foods not previously collected are needed, particularly nuts, wholemeal bread and rapeseed oil. These changes increased the total edible weight (42%) and economic value (55%) of the food aid donation, with one-third of its edible weight coming from fruits and vegetables, one-third from staples, one-quarter from dairy products and approximately a tenth from meat/fish/eggs. CONCLUSIONS: Important changes in the types and amounts of food collected will improve the nutritional quality of food-bank-delivered food aid in France. Such changes are recommended to improve the diets of deprived French populations

    On the Mackey topology of Orlicz sequence spaces

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    Association between energy density and diet cost in children

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    � 2016 PBJ-Associa��o Porto Biomedical/Porto Biomedical Society. Background: Lower energy density diets tend to cost more, but data using different ways to calculate the dietary energy density, is scarce. Objectives: To estimate the dietary energy density, and to assess how it is associated with the diet cost in children. Methods: Data were obtained from a community-based survey from public elementary schools in Portugal. Dietary intake of 464 children (6-12 years) was assessed by a 24 h recall in 2007/2008. Dietary energy density (kcal/g) was calculated as following: (1) with food and all beverages (ED1), (2) with food and caloric beverages (ED2), and (3) only with food (ED3). Energy-adjusted diet cost (D /1000 kcal) was calculated based on the collection of food prices from a national leader supermarket. Anthropometric measures were taken and socio-demographic data were obtained from parents. Logistic regression was used to estimate the association between diet cost and energy density. Results: For boys, the energy-adjusted diet cost of the highest third of energy density was lower, between 81% in the ED3 (p for trend < 0.001) and 87% in the ED1 (p for trend < 0.001), compared to the lowest third. Girls showed similar, but weaker associations. Conclusions: Higher dietary energy density was associated with lower dietary cost among children.info:eu-repo/semantics/publishedVersio
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