In this paper, we study 1-space bounded 2-dimensional bin packing and square packing. A sequence of rectangular items (square items) arrive one by one, each item must be packed into a square bin of unit size on its arrival without any information about future items. When packing items, 90◦-rotation is allowed. 1-space bounded means there is only one “active” bin. If the “active” bin cannot acco...

In this paper, we study 1-space bounded 2-dimensional bin packing and square packing. A sequence of rectangular items (square items, respectively) arrive over time, which must be packed into square bins of size 1×1. 90-rotation of an item is allowed. When an item arrives, we must pack it into an active bin immediately without any knowledge of the future items. The objective is to minimize the t...

The idea of probabilistic metric space was introduced by Menger and he showed that probabilistic metric spaces are generalizations of metric spaces. Thus, in this paper, we prove some of the important features and theorems and conclusions that are found in metric spaces. At the beginning of this paper, the distance distribution functions are proposed. These functions are essential in defining p...

We construct some explicit formulas of rational maps and transcendental meromorphic functions having Herman rings period strictly larger than one. This gives an answer to a question raised by Shishikura in the 1980s. Moreover, with nested are also found. To obtain periodic rings, crucial step is find family entire bounded Siegel disks all possible periods rotation numbers. based on proving exis...

background: proper rotation of components in total knee arthroplasty (tka) will largely affect the postoperative outcome. ethnical variation may affect rotational profile. we aimed to evaluate distal femur rotation in iranian population using transepicondylar axes.   methods : from a total of 450 knee ct scans and via consecutive sampling, 150 qualified subjects with normal lower extremities al...

the aim of this case report was to introduce an appliance for correcting severe rotation of anterior teeth in the mixed dentition period. a 9-year-old iranian boy with a mixed dentition class i malocclusion complained of a severely rotated of upper right central incisor. there was a mesiodens between the central incisors. the supernumerary tooth was first extracted and then a whip appliance whi...

a characteriation of continuity of the $p$-$lambda$-variation function is given and the helly's selection principle for $lambda bv^{(p)}$ functions is established. a characterization of the inclusion of waterman-shiba classes into classes of functions with given integral modulus of continuity is given. a useful estimate on modulus of variation of functions of class $lambda bv^{(p)}$ is found.

Spatially resolved velocity profiles are presented for nine faint field galaxies in the redshift range 0.1 ∼ < z ∼ < 1, based on moderate–resolution spectroscopy obtained with the Keck 10 m telescope. These data were augmented with high–resolution Hubble Space Telescope images from WFPC2, which provided V and I photometry, galaxy type, orientation, and inclination. The effects of seeing, slit w...