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 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...

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...

A rectangular drawing is a partition of a rectangle into a set of rectangles. Rectangular drawings have many important applications including VLSI layout. Since the size of rectangular drawings may be huge, compact encodings are desired. Several compact encodings of rectangular drawings without degree four vertices are known. In this paper, we design two compact encodings for rectangular drawin...

Ultrathin plasmonic metasurfaces have proven their ability to control and manipulate light at unprecedented levels, leading to exciting optical functionalities and applications. Although to date metasurfaces have mainly been investigated from an electromagnetic perspective, their ultrathin nature may also provide novel and useful mechanical properties. Here we propose a thin piezoelectric plasm...

We report the thermal annealing-induced formation of ring-like structure of Zn(II)-doped magnetite from iron alkoxide leaf-like nanoplate precusor. The phase, structure and morphology of magnetite nanorings were comprehensively characterized by powder X-ray diffraction, X-ray photoelectron spectroscopy, atomic force microscope, scanning electron microscope, and transmission electron microscope....

The preparation of thermochromic vanadium dioxide (VO2) films in an economical way is of interest to realizing the application of smart windows. Here, we reported a successful preparation of self-assembly VO2 nanoplate films on TiO2-buffered glass by a facile hydrothermal process. The VO2 films composed of triangle-shaped plates standing on substrates exhibit a self-generated porous structure, ...

Ultraviolet (UV) photodetectors are important tools in the fields of optical imaging, environmental monitoring, and air and water sterilization, as well as flame sensing and early rocket plume detection. Herein, hexagonal-like Nb₂O₅ nanoplates are synthesized using a facile solvothermal method. UV photodetectors based on single Nb₂O₅ nanoplates are constructed and the optoelectronic properties ...