This paper describes the design and analysis of planar dual-band bandpass filters using stepped impedance resonators. In the proposed filter configurations, dual-band bandpass filters are designed, and realized by using inverted stepped impedance (SIR) resonators. The conventional half wavelength open circuited stub single frequency resonators are replaced with dual band simple two section step...

Background/Aims We sought to optimise the design of stepped wedge trials with an equal allocation of clusters to sequences and explored sample size comparisons with alternative trial designs. Methods We developed a new expression for the design effect for a stepped wedge trial, assuming that observations are equally correlated within clusters and an equal number of observations in each period b...

For overflow weirs and embankments, the stepped chute profile may increase the rate of energy dissipation on the waterway. Herein four different stepped chute configurations were tested with a focus on the cavity flow processes, flow aeration and energy dissipation performances. Detailed flow visualisations and air-water flow measurements were conducted for all configurations. The results highl...

Researchers should consider five questions before starting a stepped wedge trial. Why are you planning one? Researchers sometimes think that stepped wedge trials are useful when there is little doubt about the benefit of the intervention being tested. However, if the primary reason for an intervention is to measure its effect, without equipoise there is no ethical justification for delaying imp...

Hydrodynamic performance of a marine vessel mainly depends on the frictional and pressure resistance. Pressure drag reduction could be achieved by improving the shape of the vessels with implementation of modern hull forms. Hull forms optimization techniques could also be used for this purpose. Other techniques are needed to deal with the viscous portion of the total resistance, which is mainly...

In recent years a number of embankments were designedwith concrete overtopping protection shaped in a stepped fashion. During large overflows on stepped chutes, there is no skin friction between mainstream and steps, and flow resistance is basically form drag. Alterations of flow recirculation and of fluid exchanges between free-stream and cavity flow are discussed in this study. A comprehensiv...

We present our latest model of lightning process. The model has two main advantages: computations were made using adaptable (e.g. non-fixed) computational mesh and we allowed branching of the stepped leader. The electrodes and the stepped leader were modelled as conductors surrounded by a homogenous dielectric media. We took in account observations of stepped leader in atmosphere and used a qua...

A linear-time algorithm that computes the envelope of the offset of a monotone chain is presented. The scallop hull, an extended notion of the convex hull, of the monotone chain is first computed by using an approach similar to that of the convexhull construction algorithm. The offset of the scallop hull, which yields the desired envelope, can then be computed in linear time from the scallop hu...

If X is a vector space and E is a subset of X, the convex hull of E is defined to be the intersection of all convex sets containing E, and is denoted by co(E). One checks that the convex hull of E is equal to the set of all finite convex combinations of elements of E. If X is a topological vector space, the closed convex hull of E is the intersection of all closed convex sets containing E, and ...