raw cane sugar is one of the most important product in the sugar industry and is the main raw material for the white sugar production. morphological and physical properties of this product might influence the final white sugar. for instance, the behavior during centrifugation, transport and storage is related to the characteristics of these crystals. the object of this study was to determine th...

We investigate the edge-isoperimetric problem (EIP) for sets of n points in the triangular lattice by emphasizing its relation with the emergence of the Wulff shape in the crystallization problem. By introducing a suitable notion of perimeter and area, EIP minimizers are characterized as extremizers of an isoperimetric inequality: they attain maximal area and minimal perimeter among connected c...

In the present study, a compact analytical model is developed to determine the pressure drop of fully-developed, incompressible, and constant properties slip-flow through arbitrary cross-section microchannels. An averaged firstorder Maxwell slip boundary condition is considered. Introducing a relative velocity, the difference between the bulk flow and the boundary velocities, the axial momentum...

The body defined by a finite collection of disks is a subset of the plane bounded by a tangent continuous curve, which we call the skin. We give analytic formulas for the area, the perimeter, the area derivative, and the perimeter derivative of the body. Given the filtrations of the Delaunay triangulation and the Voronoi diagram of the disks, all formulas can be evaluated in time proportional t...

CONTEXT Prediction of metastases of oral squamous cell carcinoma (OSCC) using incisional biopsy. AIMS To assess the efficacy of nuclear morphometry in predicting the nodal metastases of OSCC and to compare manual and computer-based image analyses. MATERIALS AND METHODS Sixteen cases of moderately differentiated squamous cell carcinoma (8 with metastasized lymph nodes and 8 node-negative cas...

abstract identification & supervision of fluctuations in physical ecosystems have a special place in optimum using of natural resources. urmia lake is the largest interior natural lake of iran which its potentials and ecosystem & environmental characteristics attracted researchers and environmental planners attention. fluctuations in area and perimeter of the lake attracted many attentions in r...

The aim of the current study was to use computed tomography (CT) to estimate airway wall and lumen, and arterial and parenchyma dimensions in children throughout the growth period, and to provide normative data to study alterations caused by pulmonary disease. Clinical CT scans reported as normal that were performed in children for nonpulmonary and noncardiac reasons were analysed for lung weig...

There has previously been given a one-parameter family of pairs of Heron triangles with equal perimeter and area. In this note, we find two twoparameter families of such triangle pairs, one of which contains the known one-parameter family as a special case. Second, for an arbitrary integer n > 2 we show how to find a set of n Heron triangles in two parameters such that all triangles have equal ...

BACKGROUND Differential diagnosis of thyroid lesions with predominantly follicular pattern is one of the most common problems in thyroid pathology. Development of more objective and reproducible tools for diagnosis is needed. This work is aimed at studying the role of nuclear morphometry in differential diagnosis of different thyroid lesions having predominant follicular pattern. MATERIAL AND...