A Heron quadrilateral is a cyclic quadri­ lateral whose area and side lengths are rational. In this work, we establish a correspondence between Heron quadri­ laterals and a family of elliptic curves of the form y2 = 3 2 x + αx2 − n x. This correspondence generalizes the no­ tions of Goins and Maddox who established a similar connec­ tion between Heron triangles and elliptic curves. We further s...

Fragility curves represent the probabilities that structural damages, under various levels of seismic excitation, will exceed the specified damage states by means of earthquake intensity damage relations. Conceptual aspects related to seismic vulnerability, damage and risk evaluation are discussed first, together with a short review of the most widely used possibilities for the seismic evaluati...

Many current dose-response methods assume a parametric shape of some form and do not accommodate comparisons between methods. Motivated by a need to be able to compare dose-response curves without assuming a parametric shape to the dose-response curve, we applied our technique to model them by non-parametric smoothing methods and also estimate area under the curves. Given that we do not know th...

The representation of curves by integral invariant signatures is an important step inshape recognition and classification. Integral invariants are preferred over their differential counter-parts due to their robustness with respect to noise. However, in contrast to differential invariants ofcurves, it is currently unknown whether integral signatures offer unique representations of c...

The article deals with a comparison of two methods for a detection of artery section area in medical B-mode ultrasound video sequence. Both methods use similar principle for video sequence analysis: the technique of optical flow estimation in selected significant features to track. The difference between the initialization of such points produces results, cardiac cycle curves, which has to be n...

The problem of optimizing decision variable settings in a single-stage replenishment loop with capacityconstrained batch processing is examined. Simulation and response surface methods are used to model total inventory and delivery service performance for a continuous-review reorder point system and a singlecard Kanban system. Performance tradeoff curves based on optimal settings are created us...