Greatest common divisor algorithms are used to provide a natural motivation for considering a class of Jacobi-Perron algorithms which includes the original Jacobi algorithm. This work proves convergence and establishes metric properties for one of these algorithms. The proofs generalize to the larger class of algorithms. Full connections with the calculation of greatest common divisors will be ...

accurate calculation of reliability index is very important for the reliability analysis of structures. in some limit state functions with nonlinear characteristic and several local optimum design points, the computational reliability methods may not appropriately determine the failure probability, and iterative reliability approaches may be converged to local optimum design points. in this pap...

Introduction Radiotherapy with small fields is used widely in newly developed techniques. Additionally, dose calculation accuracy of treatment planning systems in small fields plays a crucial role in treatment outcome. In the present study, dose calculation accuracy of two commercial treatment planning systems was evaluated against Monte Carlo method. Materials and Methods Siemens Once or linea...

Real space multiple scattering calculations of the electronic density of states and x-ray spectra in solids typically scale as the cube of the system and basis set size, and hence are highly demanding computationally. For example, such x-ray absorption near edge structure ~XANES! calculations typically require clusters of order NR atoms and s, p, and d states for convergence, with NR between ab...

We present a concise review of the recent theoretical progress concerning the standard model calculation of the inclusive radiative B̄ → Xsγ decay. Particular attention is thereby devoted to the calculations of the next-to-next-to-leading order fixed-order O(αs) contributions, non-local O(αsΛ/mb) power corrections, and logarithmic-enhanced O(αs) cut-effects to the decay rate. The current status ...

The equations of motion for a massive spin2 Rarita-Schwinger field in a finite-range, central, Lorentz scalar potential are developed. It is shown that the resulting density may not be everywhere positive definite.

Delay faults are an increasingly important test challenge. Traditional open and bridge fault models are incomplete because only the functional fault or a subset of delay fault are modeled. In this paper, we propose a circuit level model for resistive open and bridge faults. All possible fault behaviors are illustrated and a general resistive bridge delay calculation method is proposed. The new ...

Due to limitations and uncertainties in dose calculation algorithms, different algorithms can predict different dose distributions and dose-volume histograms for the same treatment. This can be a problem when estimating the normal tissue complication probability (NTCP) for patient-specific dose distributions. Published NTCP model parameters are often derived for a different dose calculation alg...

In distributed systems, servers offer their service to independent clients. It is the load balancing problem to assign jobs to servers. Dynamic load balancing has great potential to outperform static policies in spite of the overhead for measurement and system state information exchange. Problems arise if the system state information used as criterion for the job assignment is not up to date. T...