Motivation The motivation for Rectangular Partitioning comes from my work. The application I help create has forms that can be designed by third parties, and it also has a layout engine that makes it easy to change the layout of a form based on the size of the form and its contents. The layout engine takes as it’s input a table of cells and their contents, along with attributes specifying how a...

This paper addresses the two-dimensional bin packing problem with guillotine constraints. The requires a set of rectangular items to be cut from larger rectangles, known as bins, while only making use edge-to-edge (guillotine) cuts. goal is minimize total area needed all required items. also variants which permit 90∘ rotation and/or heterogeneous bins. A novel heuristic introduced based on ruin...

This paper presents the analysis of wave propagation in functionally-graded (FG) nanoplates on a Winkler–Pasternak foundation. The investigation is carried out framework nonlocal elasticity theory and new four-unknown higher-order displacement including indeterminate integral terms. Hamilton’s principle Navier’s method are used to obtain frequency relations FG for different conditions by solvin...

Abstract A software package for the numerical solution of systems linear and nonlinear partial differential equations by grid methods is presented, which combines symbolic computations automatic code generation techniques. Discretization carried out finite volumes differences on two-dimensional three-dimensional regular rectangular grids. The algebraic obtained as a result discretization perfor...

JENNIFER J. YOUNG: Cytoskeleton Micromechanics: A Continuum-Microscopic Approach (Under the direction of Sorin Mitran) Creating accurate, whole-cell scale models of the cytoskeleton is computationally challenging, due to the material’s highly heterogeneous microstructure. Continuumbased models, homogenization methods, and coarse grained models are common modeling approaches. These methods utili...

It is well known that there is difficulty in sustaining the hypothesis 1,2 of baryogenesis at the electroweak phase transition in the minimal standard model. To overcome these difficulties attention has been given to extensions of the minimal standard model, involving the addition of extra scalars . Prominent among these is the minimal supersymmetric standard model, MSSM, where the Higgs sector...

A generalized real-space renormalization scheme is developed for geometrical critical phenomena The renormalization group is parametrized by the standard length-scaling factor and a new redangular area-fraction factor. This rectangular renormalization scheme utilizes relatively small r e m g u l a r sublanices to effeaively renormalize large square lattices. With the area-fraction factor, one c...

the efficiency of a collar in reducing the scour depth around circular and rectangular piers is studied at different flow intensities (ratio of upstream shear stress to sediment critical shear stress). rectangular piers aligned with the flow as well as skewed at 5º, 10º, 20º were examined. previous studies had shown that with collar the equilibrium time of scouring increases considerably. to re...