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...

Thermoresponsive objects can be manufactured from shape memory polymers (SMPs) via fused filament fabrication (FFF). Here a new technological approach to obtain thermally actuating using an in-house synthesized, phase segregated poly(ester urethane) (PEU) is introduced. Under almost stress-free conditions of dynamic mechanical analysis, cuboid obtained FFF shrank when heated 62 °C and expanded ...

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...

In this paper, we first review local counting methods for perimeter estimation of piecewise smooth binary figures on square, hexagonal, and triangular grids. We verify that better perimeter estimates, using local counting algorithms, can be obtained using hexagonal or triangular grids. We then compare surface area estimates using local counting techniques for binary three-dimensional volumes un...

In order to solve various security risks faced by image privacy protection, we propose a 3D cuboid encryption scheme based on message-encoded controlled alternate quantum walks. Firstly, calculated the initial parameters of system and performed one-dimensional walk generate probability distribution sequence. Secondly, encoded sequence into quaternary message using multiple sets messages control...

In previous works some polynomial time algorithms were presented for special cases of the 3-Dimensional VLSI Routing problem. Solutions were given to problems when all the terminals are either on a single face (SALP Single Active Layer Problem) or on two opposite faces (3DCRP 3-Dimensional Channel Routing Problem) or on two adjacent faces (3DΓRP 3-Dimensional Gamma Routing Problem) of a rectang...