on the one hand, the vacant position of study about impact of achaemenid empire on eastern states is due to silence by classic authors in dealing with these lands; and on the other hand, it is reffered to shortage of archeological artifacts relating to achaemenids at the given region. in the present essay, by the aid of reminiscent works and economic and administrative evidences obtained from e...

Abstract. This article introduces spotlight tiling, a type of covering for a region which is similar to tiling. The distinguishing aspects of spotlight tiling are that the “tiles” have elastic size, and that the order of placement is significant. Spotlight tilings are decompositions, or coverings, and can be considered dynamic as compared to typical static tiling methods. A thorough examination...

Abstract. We compute the number of rhombus tilings of a hexagon with sides a+2, b+2, c+2, a+ 2, b+2, c+2 with three fixed tiles touching the border. The particular case a = b = c solves a problem posed by Propp. Our result can also be viewed as the enumeration of plane partitions having a + 2 rows and b + 2 columns, with largest entry ≤ c + 2, with a given number of entries c + 2 in the first r...

Directed hierarchical self assembly (DHSA) involves the purposeful assembly of a series of different subunits over multiple length scales to create arbitrarily shaped, large structures. We are developing a two stage DHSA procedure comprising of a coarse “far field” fluidic process which brings the sub-elements into the general vicinity of the assembly point and a fine “near field” process which...

Methods for fabricating poly(methyl methacrylate) microchips using a novel two-stage embossing technique and solvent welding to form microchannels in microfluidic devices are presented. The hot embossing method involves a two-stage process to create the final microchip design. In its simplest form, a mold made of aluminum is fabricated using CNC machining to create the desired microchannel desi...

Self-assembly, the process by which objects autonomously come together to form complex structures, is omnipresent in the physical world. A systematic study of self-assembly as a mathematical process has been initiated. The individual components are modelled as square tiles on the infinite two-dimensional plane. Each side of a tile is covered by a specific “glue”, and two adjacent tiles will sti...

A flow-through ultrasonic separator constructed entirely from PMMA has been demonstrated for the first time. Continuous extraction of lipids from milk has been achieved. Construction is simple, requiring channels to be embossed at low temperatures (120°C) with a room temperature solvent bond used to close the channel.

This paper presents the development of a portable device for the translation of embossed Braille to text. The device optically scans a Braille page and outputs the equivalent text output in real time, thus acting as a written communications gateway between sighted and vision impaired persons..

A DEM is one of the most useful information for spatial modelling and monitoring. Several DEMs have been published in the public domain like SRTM and ASTER GDEM with and without considering the horizontal and vertical misallocation of single input data. Results of that are for example the inherent errors in the ASTER GDEM V1 dataset as well as the known striping in the SRTM dataset. Therefore, ...