The results of this thesis concern folding of one-dimensional objects in two dimensions: planar linkages. More precisely, a planar linkage consists of a collection of rigid bars (line segments) connected at their endpoints. Foldings of such a linkage must preserve the connections at endpoints, preserve the bar lengths, and (in our context) prevent bars from crossing. The main result of this the...

Estimating maximum scour depth is normally required in order to determine the depth of  bridge piles. The present paper uses the SSIIM Software which considers flow and sediment equations in a three dimensional manner. The software models flow field around circular bridge pile by resolving Navier-Stokes three-dimensional equations and k-  method, and by temporary solution of flow field and cont...

Introduction Complex adaptive systems (CAS) research area is trying to establish a comprehensive and general understanding of the complex world around us (Niazi and Hussain 2013). Complex systems typically involve the generation of high dimensional data and rely on effective analysis and management of such high-dimensional data. High dimensional data exists in a wide variety of real application...

Space-time prism (STP) is a key concept in geography that measures the movement of objects in space and time. A space-time prism can be treated as a result of the potential path line revolving around in the three dimensional space. Though the concept has found applications in time geography, research on the analysis of uncertainty in space-time prism, particularly under high degree of nonlinear...

A two-dimensional transient axi-symmetric model was developed to study the effects of various thermal and geometric parameters on cyclic heating and cooling modes of a phase-change thermal energy storage system. The high-temperature thermal energy storage device utilizes LiH for heat sink applications to store the waste heat generated during power-burst periods. The stored heat is then discharg...

Canonical quantization of gravity requires knowledge about the representation theory of its constraint algebra, which is physically equivalent to the algebra of arbitrary 4-diffeomorphisms. All interesting lowest-energy representations are projective, making the relevant algebra into a four-dimensional generalization of the Virasoro algebra. Such diffeomorphism anomalies are invisible in field ...

in this paper we introduce and study besselian $g$-frames. we show that the kernel of associated synthesis operator for a besselian $g$-frame is finite dimensional. we also introduce $alpha$-dual of a $g$-frame and we get some results when we use the hilbert-schmidt norm for the members of a $g$-frame in a finite dimensional hilbert space.