By using the generalized Riccati transformation and the inequality technique, we establish a oscillation criterion for certain non-linear secondorder dynamic equations with damping on a time scale.

We study the backfitting and profile methods for general criterion functions that depend on a parameter of interest β and a nuisance function θ. We show that when different amounts of smoothing are employed for each method to estimate the function θ, the two estimation procedures produce asymptotically the same estimator of β, even when the criterion functions are non-smooth in β and/or θ. The ...

For industrial components such as pressure vessels and piping systems, it is important to determine the shakedown domains of structures under complex variable thermo-mechanical loads avoid low cycle fatigue due alternating plasticity or incremental plastic collapse caused by ratcheting. In this paper, interaction among three common types stresses are considered based on a plane model, namely, m...

A new way of measuring generalization in unsupervised learning is presented. The measure is based on an exclusive allocation, or credit assignment, criterion. In a classifier that satisfies the criterion, input patterns are parsed so that the credit for each input feature is assigned exclusively to one of multiple, possibly overlapping, output categories. Such a classifier achieves context-sens...

Abstract The Beerkan method consists of a ponded infiltration experiment from single ring inserted small depth into the soil. Fixed, volumes water are repeatedly poured to maintain quasi-zero head on soil surface. According standard run, new volume is surface when previously applied has completely infiltrated and entirely exposed air ( t criterion). However, could also be exposition begins o cr...

In the field of photoelectric sensing and measurement, laser triangulation is a superior and widely used technology due to its advantages of high accuracy, rapidity, and non-contact. This paper first applied it to the measurement of pressure, and proposed and designed a laser-type pressure sensor. The sensor measured the center deflection of the circular pressure-sensitive diaphragm using the l...