This semi-tutorial paper discusses the connections between the dimension/length profile (DLP) of a linear code, which is essentially the same as its " generalized Hamming weight hierarchy " 111, and the complexity of its minimal trellis diagram. These connections are close andtdeep. DLP duality is closely related to trellis duality. The DLP of a code gives tight bounds on its state and branch c...

Adaptive sample size and sampling intervals schemes have been widely used to improve the statistical efficiency of Hotelling T control chart in detecting small changes when the quality of a product or a process can be characterised by the multivariate distribution of quality characteristics. In this paper, we design a Hotelling T scheme varying sample sizes and sampling intervals (VSSI-T) for a...

We consider the quality of a process, which can be characterized by a simple linear Berkson profile. One existing approach for monitoring the simple linear profile and two new proposed schemes are studied for charting the simple linear Berkson profile. Simulation studies demonstrate the effectiveness and efficiency of one of the proposed monitoring schemes. In addition, a systematic diagnostic ...

In some quality control applications, quality of a product or process can be characterized by a relationship between two or more variables that is typically referred to as profile. Moreover, in some situations, there are several correlated quality characteristics, which can be modeled as a set of linear functions of one explanatory variable. We refer to this as multivariate simple linear profil...

In some statistical process control applications, a relationship between a response variable and an explanatory variable referred to as profile characterize the quality of a process or product and should be monitored over time. Many researches have been done in this area but in most of them, the successive observations in different levels of the explanatory variables are assumed to be independe...

* Supported in part by Brite Euram project BE7470. Abstract The two-level fuzzy-lattice (2L-FL) learning scheme is introduced for application on an intelligent surgical (mechatronic) drill in the stapedotomy surgical procedure in the ear. The 2L-FL scheme learned from past cases to evaluate pointedly the thickness of a stapes bone using a force/torque pair of drilling profiles. Hence it is poss...

This paper summarizes three mathematical models used to describe how contaminant concentration profiles in soil may be inferred from the intensities of neutron-induced capture-gamma photon intensities measured at the soil surface. In particular, the linear regularization, linear regularization with an iterative positivity constraint, and the Backus-Gilbert methods are applied to the soil contam...

A control chart based on the likelihood ratio is proposed for monitoring the linear profiles. The new chart which integrates the EWMA procedure can detect shifts in either the intercept or the slope or the standard deviation, or shifts simultaneously by a single chart, which is different from other control charts in literature for linear profiles. The results by Monte Carlo simulation show that...

A new type of twin boundary was found when two order parameters interact by linear-quadratic coupling QP(2). In this solution, we find that a domain wall consists of two layers in which in one layer both order parameters Q and P are active while in the second layer only Q is active. The adjacent domains are equally asymmetric (Q, P) and (Q, 0) so that one phase could be polar and/or magnetic an...

We perform molecular dynamics simulations of model frictionless granular systems undergoing boundary-driven planar shear flow in two spatial dimensions with the goal of developing a more complete understanding of how dense particulate systems respond to applied shear. In particular, we are interested in determining when these systems will possess linear velocity profiles and when they will deve...