introduction relative dose computation is a necessary step in radiation treatment planning. therefore, finding an approach that is both fast and accurate seems to be necessary. the purpose of this work was to investigate the feasibility of natural cubic spline to reconstruct dose maps for linear accelerator radiation treatment fields in comparison with those of the simulation. materials and met...

This paper introduces a simple index that helps to assess the degree of aging or rejuvenation of repairable systems and non-repairable systems (components). The index ranges from –1 to 1. It is negative for the class of decreasing failure rate distributions and point processes with decreasing ROCOF and is positive for the increasing failure rate distributions and point processes with increasing...

Flood Frequency Analysis is usually based on the fitting of an extreme value distribution to the series of local streamflow. However, when the local data series is short, frequency analysis results become unreliable. Regional frequency analysis is a convenient way to reduce the estimation uncertainty. In this work, we propose a regional Bayesian model for short record length sites. This model i...

A geometric perspective is used to derive the entire family of Welch bounds. This perspective unifies a number of observations that have been made regarding tightness of the bounds and their connections to symmetric k-tensors, tight frames, homogeneous polynomials, and tdesigns. Index Terms – Frames, Grammian, Homogeneous polynomials, Symmetric tensors, t-designs, Welch bounds

A finite subset Y on the unit sphere Sn−1 ⊆ Rn is called a spherical design of harmonic index t, if the following condition is satisfied: ∑ x∈Y f(x) = 0 for all real homogeneous harmonic polynomials f(x1, . . . , xn) of degree t. Also, for a subset T of N = {1, 2, · · · }, a finite subset Y ⊆ Sn−1 is called a spherical design of harmonic index T, if ∑ x∈Y f(x) = 0 is satisfied for all real homo...

the photoanthropometric method was used to study the facial features in 136 iranian children with down syndrome, aged 4 to 14 years. nineteen parameters were investigated and compared to an age related control group of 100 normal iranian children. the obtained measurements were related to reference values in the same faces. the normal range was defined by age related index values between the 20...

despite the great potential of graphene as a nanofiller, achieving homogeneous dispersion remains the key challenge for effectively reinforcing polyolefin (such as polyethylene (pe) and polypropylene (pp)) nanocomposites. therefore, in this research, we report a facile combined in situ polymerization and masterbatch method for fabricating pp/reduced graphene oxide (rgo) nanocomposites. in the p...