one of the ecient and powerful schemes to solve linear and nonlinear equationsis homotopy analysis method (ham). in this work, we obtain the approximate solution ofa system of partial dierential equations (pdes) by means of ham. for this purpose, wedevelop the concept of ham for a system of pdes as a matrix form. then, we prove theconvergence theorem and apply the proposed method to nd the a...

in this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist.

In the last decade, study and construction of quad/triangle subdivision schemes have attracted attention. The quad/triangle subdivision starts with a control mesh consisting of both quads and triangles and produces finer and finer meshes with quads and triangles (Fig. 1). Designers often want to model certain regions with quad meshes and others with triangle meshes to get better visual quality ...

Lines of Action (LOA) is a two-person zero-sum chess-like connection game with perfect information. The goal of each side is to connect its own pieces. The state-space complexity and game-tree complexity are comparable with those of Othello. A LOA evaluation function usually consists of a combination of the following components: threats, solid formations, (partial) blocking, centralisation, mat...

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It is challenging to stabilise an unmanned quad-rotor aerial vehicle when a dynamic change in its model parameters or failure of its actuator occurs. In this paper, a quad-rotor unmanned aerial vehicle (UAV) is controlled based on model reference adaptive control (MRAC) and a linear quadratic regulator (LQR). The kinematics and dynamics of the quad-rotor are calculated, and Lyapunov’s direct st...

Regarding the self-collision detection efficiency during cloth simulation, this paper presents a quad tree based self-collision detection method. In this paper, we construct a quad bounding box tree for cloth according to the spatial location of its geometric primitives from top to down. And it divides the self-collision detection process into two stages. During the first rough detection stage,...

In this paper we construct the autonomous quad-equations which admit as symmetries five-point differential-difference equations belonging to known lists found by Garifullin, Yamilov and Levi. The obtained are classified up point transformations some simple non-autonomous transformations. We discuss our results in framework of literature. There among them a few new examples both sine-Gordon Liou...

QUAD is a provable secure stream cipher based on multivariate polynomials which was proposed in 2006 by Berbain, Gilbert and Patarin [1]. In this paper we show how to speed up QUAD over GF(256) by a factor of up to 5.8. We get this by using structured systems of polynomials, in particular partially circulant polynomials and polynomials generated by a linear recurring sequence (LRS), instead of ...

ABSTRACT Quad-tree structured motion-compensation technique effectively utilizes the motion content of a frame as oppose to fixed size block motion compensation technique. In this paper, we propose a novel quad-tree-structured region-wise motion compensation technique that divides a frame into equilateral triangle blocks using the quad-tree structure. Arbitrary partition shapes are achieved by ...