Using a calculus of variations approach we determine the shape of a typical plane partition in a large box i e a plane partition chosen at random according to the uniform distribution on all plane partitions whose solid Young diagrams t inside the box Equivalently we describe the distribution of the three di erent orientations of lozenges in a random lozenge tiling of a large hexagon We prove a...

background: in general, measurements of solar ultraviolet (uv) radiation are related to horizontal surfaces. while the hu­mans walking and standing outdoors expose to the natural solar uv radiation, their eyes, cheeks, extremities, trunks, or many other anatomical sites are close to vertical plane and random orient to different directions. in this study, we character­ized the diurnal variations...

When visual features in the periphery are close together they become difficult to recognize: something is present but it is unclear what. This is called "crowding". Here we investigated sensitivity to features in highly familiar shapes (letters) by applying spatial distortions. In Experiment 1, observers detected which of four peripherally presented (8 deg of retinal eccentricity) target letter...

This paper describes an automatic algorithm that uses a geometry-driven optimization approach to restore the shape of three-dimensional (3D) left ventricular (LV) models created from magnetic resonance imaging (MRI) data. The basic premise is to restore the LV shape such that the LV epicardial surface is smooth after the restoration and that the general shape characteristic of the LV is not alt...

It is known that hard planar acoustic screens generate null far-eld amplitude on the directions deened by the plane that encloses them. We proved in an earlier paper that this property actually characterizes plane screens among scatterers of any shape, and we generalized it to other boundary conditions. Furthermore it was proved that a single incident wave is suucient to distinguish screens tha...

In this paper we investigate a possibility to perform shape-sensitive HBT analysis in transversal plane. We study presently used Side-Out decomposition of the correlation function and we do not find it to be very sensitive for the detection of a shape of source distribution in transversal plane. Therefore we suggest to use X-Y decomposition of the correlation function for the HBT analysis of no...

Current practice in gregarine (Apicomplexa: Eugregarinorida) taxonomy does not include a standard nomenclature and metric set for plane shapes even though most taxonomic works within the group depend on shapebased descriptions. The lack of a uniform shape nomenclature and metric set has produced considerable confusion in gregarine systematics: descriptions of species often are not directly comp...