A variational problem arising as a model in martensitic phase transformation including surface energy is studied. It explains the complex, multi-dimensional pattern of twin branching which is often observed in a martensitic phase near the austenite interface. We prove that a Lavrentiev phenomenon can occur if the domain is a rectangle. We show that this phenomenon disappears under arbitrarily s...

The macroscopic features of the venous drainage of the reproductive system of the male ostrich were studied in six pre-pubertal and three sexually mature and active birds. Each testis was drained by one to four testicular veins. The right testicular veins drained the right testis and epididymis and its appendix to the caudal vena cava and to the right common iliac vein, whereas the left testicu...

This paper introduces two-dimensional (weight and volume) overbooking problems arising mainly in the cargo revenue management, and compares them with one-dimensional problems. It considers capacity spoilage and cargo offloading costs, and minimizes their sum. For one-dimensional problems, it shows that the optimal overbooking limit does not change with the magnitude of the booking requests. In ...

A hidden guard set G is a set of point guards in polygon P that all points of the polygon are visible from some guards in G under the constraint that no two guards may see each other. In this paper, we consider the problem for finding minimum hidden guard sets in histogram polygons under orthogonal visibility. Two points p and q are orthogonally visible if the orthogonal bounding rectangle for ...

In the context of present study term Delineation means bordering any kind area by using scale and reveals in maps. is refer to mapping drainage check dams area. The region drained Arunavati River a northern tributary Tapi, flowing towards south. Aner east marked an eastern boundary, which flows south while west Nandurbar district Jalgaon district. Northern boundary Madhya Pradesh. basaltic lava...

In this paper, we propose a system for inputting hand drawn pattern and displaying it on a hand-held planar rectangle board by utilizing two cameras and a projector which are installed above the user. In this system, the cameras and the projector are related by projective geometry. The cameras capture the user’s hand-drawing motion. From the captured images, the tip of the user’s pen and the co...

BACKGROUND The exact lymphatic drainage pattern of the breast hasn't been explained clearly. The aim of this study was to investigate the sentinel lymphatic channels (SLCs) in the cancerous breast. Whether the type of SLCs influenced the detection rate and false-negative rate of SLNB was also assessed. METHODOLOGY AND PRINCIPAL FINDINGS Mimic SLNB was performed in 110 early-stage breast cance...