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Toric Cubes  [PDF]
Alexander Engstr?m,Patricia Hersh,Bernd Sturmfels
Mathematics , 2012,
Abstract: A toric cube is a subset of the standard cube defined by binomial inequalities. These basic semialgebraic sets are precisely the images of standard cubes under monomial maps. We study toric cubes from the perspective of topological combinatorics. Explicit decompositions as CW-complexes are constructed. Their open cells are interiors of toric cubes and their boundaries are subcomplexes. The motivating example of a toric cube is the edge-product space in phylogenetics, and our work generalizes results known for that space.
Cubes convexes  [PDF]
Sebastien Nedjar,Alain Casali,Rosine Cicchetti,Lotfi Lakhal
Computer Science , 2010, DOI: 10.3166/isi.11.6.11-31
Abstract: In various approaches, data cubes are pre-computed in order to answer efficiently OLAP queries. The notion of data cube has been declined in various ways: iceberg cubes, range cubes or differential cubes. In this paper, we introduce the concept of convex cube which captures all the tuples of a datacube satisfying a constraint combination. It can be represented in a very compact way in order to optimize both computation time and required storage space. The convex cube is not an additional structure appended to the list of cube variants but we propose it as a unifying structure that we use to characterize, in a simple, sound and homogeneous way, the other quoted types of cubes. Finally, we introduce the concept of emerging cube which captures the significant trend inversions. characterizations.
The Effects of Heat Application on the Quality of Golden Delicious and Starking Delicious Apple Varieties  [PDF]
Neslihan Ekinci,Salih Celik
Journal of Agronomy , 2006,
Abstract: The objective of this study is to determine the effects of heat applications on fruit quality during the storage. Golden Delicious and Starking Delicious apple varieties used in this research were obtained from the Vineyard Research Institute located in Tekirdag. Research was carried out with three replications in randomized block design with split plots. Apples were treated with heat for 4 days at 38°C and then stored in Institute`s cold air chambers under the conditions of 0°C with 85-90% relative humidity. During the heat application high weight loss occurred in fruits. This application was found to be effective on the firmness of the fruits during storage. The mean application was responsible of ripening by increasing the respiration rate and the starch degradation rate in fruits.
Stability of mango cubes preserved by hurdle technology
Azeredo, Henriette Monteiro Cordeiro de;Araújo, Fátima Beatriz Silva de;Garruti, Deborah dos Santos;Queiroz, Ana Amélia Martins;Pinto, Gustavo Adolfo Saavedra;
Ciência e Agrotecnologia , 2005, DOI: 10.1590/S1413-70542005000200015
Abstract: fruit preservation by hurdle technology is based on combinations of low levels of various antimicrobial factors (hurdles) acting synergistically resulting in a shelf stable high moisture, fresh-like product. the objective of this work was to evaluate the stability of mango cubes obtained by combining the following hurdles: water activity reduction, ph reduction, and chemical preservation. tommy atkins mangoes, previously washed, sanitized and peeled, were cut into cubes of approximately 8 cm3. the cubes were osmotically dehydrated under stirring (150 rpm) at 46oc in a sucrose solution at 65.5obrix added with 2% citric acid and 0.2% potassium sorbate, during two hours. the product was drained, packed in low-density polyethylene bags and stored at room temperature (about 25oc) during three months. the combination of hurdles on the final product (water activity, 0.96; ph, 3.99; potassium sorbate content, 396 mg.kg-1) was not effective to make it shelf stable, since the count of yeasts and molds increased. the cubes underwent ph reduction and color losses during storage. furthermore, the acceptance of the product, as well as, the mango flavor intensity, decrease significantly with storage time.
EPW Cubes  [PDF]
Atanas Iliev,Grzegorz Kapustka,Michal Kapustka,Kristian Ranestad
Mathematics , 2015,
Abstract: We construct a new 20-dimensional family of projective 6-dimensional irreducible holomorphic symplectic manifolds. The elements of this family are deformation equivalent with the Hilbert scheme of three points on a K3 surface and are constructed as natural double covers of special codimension 3 subvarieties of the Grassmanian G(3,6). These codimension 3 subvarieties are defined as Lagrangian degeneracy loci and their construction is parallel to that of EPW sextics, we call them the EPW cubes.
Melting of Hard Cubes  [PDF]
E. A. Jagla
Physics , 1998, DOI: 10.1103/PhysRevE.58.4701
Abstract: The melting transition of a system of hard cubes is studied numerically both in the case of freely rotating cubes and when there is a fixed orientation of the particles (parallel cubes). It is shown that freelly rotating cubes melt through a first-order transition, whereas parallel cubes have a continuous transition in which positional order is lost but bond-orientational order remains finite. This is interpreted in terms of a defect-mediated theory of melting
Cubes and Their Centers  [PDF]
Riley Thornton
Mathematics , 2015,
Abstract: We study the relationship between the sizes of sets $B,S$ in $\mathbb{R}^n$ where $B$ contains the $k$-skeleton of an axes-parallel cube around each point in $S$, generalizing the results of Keleti, Nagy, and Shmerkin about such sets in the plane. We find sharp estimates for the possible packing and box counting dimensions of $B$ and $S$. These estimates follow from related cardinality bounds for sets containing the discrete skeleta of cubes around a finite set of a given size. The Katona-Kruskal theorem from hypergraph theory plays an important role. We also find partial results for the Hausdorff dimension and settle an analogous question for the dual polytope of the cube, the orthoplex.
A representation of retracts of cubes  [PDF]
W. Kubi?
Mathematics , 2004,
Abstract: The purpose of this note is to give the full and self-contained proof of Shchepin's result on a spectral representation of retracts of cubes.
Orientals and cubes, inductively  [PDF]
Mitchell Buckley,Richard Garner
Mathematics , 2015,
Abstract: We provide direct inductive constructions of the orientals and the cubes, exhibiting them as the iterated cones, respectively, the iterated cylinders, of the terminal strict globular omega-category.
Effect of holding period prior to storage on the chemical attributes of Starking Delicious apples during refrigerated storage
Batkan, Aynur;Kundak?i, Akif;Erg?nül, Bülent;
Ciência e Tecnologia de Alimentos , 2012, DOI: 10.1590/S0101-20612012005000041
Abstract: in this research, the effects of three different holding periods (6, 12 and 24 hours) prior to storage on the quality attributes of starking delicious apples were investigated during storage of 8 months at 0.5 ± 1.0 oc. changes in weight loss, flesh firmness, ph values, soluble dry matter amount, titratable acidity values, ascorbic acid contents, and total and reducing sugar content were determined. according to the results, the holding period showed statistically significant changes in the quality attributes of the apples (p < 0.05).
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