The purpose of this note is to point out an error in the problem description in the publication [1]. We will follow the notations and definitions of [1]. In the paragraph below Eq. (2.1), we state that ‘‘a = ( sina, cosa)>, a is the angle between the externally applied magnetic field b0 and the x-axis”. This statement should be corrected as follows: ‘‘the convection field is given by a :1⁄4 (a1...

Let MT be the mean 3rst passage matrix for an n-state ergodic Markov chain with a transition matrix T . We partition T as a 2× 2 block matrix and show how to reconstruct MT e@ciently by using the blocks of T and the mean 3rst passage matrices associated with the non-overlapping Perron complements of T . We present a schematic diagram showing how this method for computing MT can be implemented i...

We propose a fast algorithm for the transistor-chaining problem in CMOS functional cell layout based on Uehara and van Manuscript received January 4, 1989; revised May 31, 1989. This work was supported in part by ERSO under Contract SF-C-010-1 and by the Cleemput’s layout style [lZ]. Our algorithm takes a transistor-level circuit schematic and outputs a minimum set of transistor chains. Possibl...

A datum is often a continuous function x(t) of a variable such as time observed over some interval. One or more such functions are observed for each subject or unit of observation. The extension of classical data analytic techniques designed for p-variate observations to such data is discussed. The essential step is the expression of the classical problem in the language of functional analysis,...

Planning and Perceptual Chunks: Elements of Expertise in Geometry KENNETH R. KOEDINGER AND JOHN R. ANDERSON Carnegie-Mellon UniversiIy We present o new model of skilled performance in geometry proof problem solvtrig called the Diagram Configuration model (DC). While previous models plan proofs in o step.by-step fashion we observed that experts plan at o more abstract level. They focus on the ke...

We consider the wrinkling of highly stretched, thin rectangular sheets – a problem that has attracted the attention of several investigators in recent years, nearly all of which employ the classical Föppl-von Kármán (F-K) theory of plates. (See Figure 1 below for a schematic diagram.) We first propose a rational model that correctly accounts for large mid-plane strain. We then carefully perform...

Building a mathematical model of the polymerization reactor is necessary to determine dependencies between input variables, technological mode and output variables ethylene process in an autoclave with stirrer, as well analyze effect design parameters on efficiency. A deterministic developed basis analysis physico-chemical regularities proposed solve these problems. There shown schematic diagra...

A new data hiding method is proposed for embedding a bit-string message into the structure of object groupings in a drawing. The objects in a drawing are grouped skillfully according to the message data to be embedded as well as the inter-object distance relationships between the objects. The groupings of objects in the resulting stego-drawing are visually imperceptible and robust against trans...

A novel first-principles-based expert system is proposed for on-line detection and identification of faulty component candidates during incipient off-normal process operations. The system pe forms function-oriented diagnostics and can be reused for diagnosing single-component failures in different processes and different plants through the provision of the appropriate process schematics informa...

This paper introduces a “qualitative” problem solving task that humans arc adept at, but one which has not received much attention within the qualitative physics community. This is the task of predicting the operation of a simple mechanical device, itt tertits of spatial behaviors of its components, front a labeled schematic ciiagranm of the device showing the spatial cotmfigttration of its com...