To predict nonlinear circuit behaviour, harmonic-balance (HB) is a popular and useful frequency-domain technique. But given its mathematical nature, it can only converge to mathematical solutions being harmonically related to the input sources into the circuit. Nevertheless, the mathematical solutions to a nonlinear system do not necessarily need to be harmonically related to the input signals ...

The slamming phenomenon is a violent impact of the hull of a ship on the free surface of the sea. This loading case is particularly difficult to modelize for several reasons: first of all, the wet surface of the hull is an unknown; then a coupling with the springing (flexibility of the ship) is very complex and finally the interaction with the waves (even if the eigenfrequencies of the structur...

Task models are logical descriptions of the activities to be performed in reaching user's goals. They have shown to be useful for designing, analysing and evaluating interactive software applications. This chapter introduces the main concepts underlying task models and discusses how they can be represented and, then, used in the various phases of the life cycle. 1. Introduction Interest in desi...

We present a real interpolation method involving broken-logarithmic functors. We obtain a variety of interpolation theorems for quasilinear operators on quasi-Banach spaces, including limiting cases. We present a number of Holmstedt's formulae corresponding to the broken-logarithmic functors and apply these to obtain reiteration theorems for interpolation and extrapolation spaces. We compare th...

BACKGROUND Mohs surgical technique allows a full view of surgical margins and has a reported cure rate approaching 100%. METHOD A survey amongst Mohs surgeons was performed to assess operator technique. In addition, an animated clay model was constructed to identify and quantify tissue movement seen during the processing of Mohs surgical specimens. RESULTS There is variability in technique ...

The focus of this paper is to develop a technique of solving a combined problem of determining Optimum Strata Boundaries (OSB) and Optimum Sample Size (OSS) of each stratum, when the population under study is skewed and the study variable has a Pareto frequency distribution. The problem of determining the OSB is formulated as a Mathematical Programming Problem (MPP) which is then solved by dyna...

Numerical methods are used to approximate solutions of equations when exact can not be determined via algebraic methods. They construct successive approximations that converge the solution an equation or system equations. The aim this paper is find roots Non-linear Equations Numerically using Newton’s Raphson Method by A New Mathematical Technique. We followed applied mathematical method a new ...