Carnap (in, [ I ] , p. 566) has remarked that his measure function m* is jitting fof finite languages using a fixed number of one-place predicates, i.e., for any sentence i, m*(;) is the same In all such restricted finite languages in which i occurs. The main purpose of this brief note is to show by means of a counter-example that * does not have the intuitively desirable property of fittingne...

This paper summarizes recent research at Edinburgh University on applying domain knowledge of standard shapes and relationships to solve or improve reverse engineering problems. The problems considered are how to enforce known relationships when data fitting, how to extract features even in noisy data, how to get better shape parameter estimates and how to infer data about unseen features.

Psychological reactance (Brehm, 1966; Brehm & Brehm, 1981) has been a long-standing topic of interest among scholars studying the design and effects of persuasive messages and campaigns. Yet, until recently, reactance was considered to be a motivational state that could not be measured. Dillard and Shen (2005) argued that reactance can be conceptualized as cognition and affect and made amenable...

Estimations of apparent diffusion coefficients usually consist of curve-fitting the output of 1-D models to experimental laboratory-measured data from porous aggregates shaped in different forms. In this research, a computational exploration is presented on the alternative use of three-dimensional models for the same purpose. The outputs of the 3-D models were compared to results generated by o...

In this paper, we preseni a new affine invariant curve fitting technique. Our method is based on the affine invariant Fourler descrlptors and implicitization of them by matrix annihilation. Experlmental results are presented to assess the stability and robustness of our fitting method under data perturba'tions.

The just non-(virtually abelian) groups with non-trivial Fitting subgroup are classified. Particular attention is given to those which are virtually nilpotent and examples are given of the interesting phenomena that can occur.

In this paper, we introduce two new flexible families of unimodal circular distributions obtained by wrapping onto the unit circle two recently explored heavytailed distributions defined on the real line. The first, the four-parameter wrapped normal–Laplace distribution, is nested within the second, the five-parameter wrapped generalized normal–Laplace distribution. Both families contain the wr...

In this paper, we introduce a new class of robust autocorrelation estimators based on interpreting the sample autocorrelation function as a linear regression. We investigate the efficiency and robustness properties of the estimators that result from employing three common robust regression techniques. Construction of robust autocovariance and positive definite autocorrelation estimates is discu...

Fitting’s indexed nested sequents can be used to give deductive systems to modal logics which cannot be captured by pure nested sequents. In this paper we show how the standard cut-elimination procedure for nested sequents can be extended to indexed nested sequents, and we discuss how indexed nested sequents can be used for intuitionistic modal logics.