Using a beyond-mean-field model including Lee-Huang-Yang-type interaction, we demonstrate supersolid-like spatially-periodic square- and triangular-lattice crystallization of droplets in polarized dipolar condensate confined by an appropriate three-dimensional (3D) box trap. In this paper, consider rectangular (cuboid) trap, square (cuboid with two equal sides) cylindrical trap hexagonal (hexag...

Analysis of the clinical cases (Figs. 1 to 27) suggested that the injuries could be classified into five types (Table I). This classification was confirmed by experiment (Figs. 28 to 40). A review of sixty radiographs previously published showed that all but three could be classified within this scheme. Cases 1 5 and 17 in the present series are not typical, but a reasonable approximation could...

Osteosarcoma most commonly arises in the long bones of the skeleton, and rarely develops in the bones of the foot. We describe a patient who presented with left foot pain, whose radiographic evaluation revealed a lytic destructive mass in the cuboid bone. A biopsy showed an osteoblastoma-like variant of osteosarcoma and the patient was treated with preoperative chemotherapy and amputation. Oste...

The study of space debris is of critical importance to all space-faring nations. The characterization of debris objects through means of passive imaging techniques would allow for further studies into the origination, specifications, and future trajectory of debris objects. The long-wave infrared waveband is a potential candidate for the observation of space debris. However, in order to simulat...

This paper proposes a method for generating an animation of water droplets and their streams on a glass plate, such as a windowpane or windshield, taking into account the dynamics between fluid and solid. Water droplets run down an inclined glass plate if their masses are greater than a static critical weight. The streams from the droplets do not run straight down the glass plate but meander an...

NoSQL (Not Only SQL) systems are becoming popular due to known advantages such as horizontal scalability and elasticity. In this paper, we study the implementation of multidimensional data warehouses with columnoriented NoSQL systems. We define mapping rules that transform the conceptual multidimensional data model to logical column-oriented models. We consider three different logical models an...

NoSQL (Not Only SQL) systems are becoming popular due to known advantages such as horizontal scalability and elasticity. In this paper, we study the implementation of data warehouses with document-oriented NoSQL systems. We propose mapping rules that transform the multidimensional data model to logical document-oriented models. We consider three different logical models and we use them to insta...

We study the surface S̄ parametrizing cuboids: it is defined by the equations relating the sides, face diagonals and long diagonal of a rectangular box. It is an open problem whether a ‘rational box’ exists, i.e., a rectangular box all of whose sides, face diagonals and long diagonal have (positive) rational length. The question is equivalent to the existence of nontrivial rational points on S̄. ...

Major Percy A. MacMahon’s first paper on plane partitions [4] included a conjectured generating function for symmetric plane partitions. This conjecture was proven almost simultaneously by George Andrews and Ian Macdonald, Andrews using the machinery of basic hypergeometric series [1] and Macdonald employing his knowledge of symmetric functions [3]. The purpose of this paper is to simplify Macd...

General Background. In [6], [7], J. Hansen introduced these codes using some constructions from algebraic geometry (toric varieties). In somewhat more downto-earth language than he used, let P ⊂ R be an integral convex polytope (the convex hull of some set of integer lattice points). (The book [18] as a good general reference for the geometry of polytopes.) Suppose that P∩Zm is properly contain...