Reentrant polymer foam materials with negative Poisson's ratios, as described by Lakes (1), are a new class of materials with unique properties. The thermodynamic restriction on the compressibility, K, of an elastic material is that it must be positive for stability. The compressibility is related to the shear modulus, G, and Poisson's ratio, v, by K = 3/2[(1 2v)/G(1+ v)], so v is restricted to...

We develop the likelihood ratio criterion (LRC) for testing the coefficients of a structural equation in a system of simultaneous equations in econometrics. We relate the likelihood ratio criterion to the AR statistic proposed by Anderson and Rubin (1949, 1950), which has been widely known and used in econometrics over the past several decades. The method originally developed by Anderson and Ru...

Asymptotic expansions of the distributions of typical estimators in canonical correlation analysis under nonnormality are obtained. The expansions include the Edgeworth expansions up to order O(1/n) for the parameter estimators standardized by the population standard errors, and the corresponding expansion by Hall’s method with variable transformation. The expansions for the Studentized estimat...

As is well understood among clinical researchers, medical diagnoses often suffer from substantial measurement error. This is particularly true for mental health diagnoses.1 Reliance on inaccurate diagnosis indicators can substantially compromise researchers’ and clinicians’ ability to reliably evaluate treatment approaches, measure clinical progress, or estimate relationships between patient at...

In a previous paper) we discussed in the framework of the Poincare-Cartan integral invariant, a method for performing the canonical formalism for constrained systems. The basic idea consists of considering a canonical transformation which brings the constraints into a subset of the canonical variables. Thus the physical variables can be easily obtained by means of a reduction of the phase space...

In this paper, I propose that the availability of a bound variable reading for pronouns is predictable from their morphological structure of the pronouns. More specifically I argue that noun-containing pronouns cannot be bound variables. My proposal is different from D&W's (2002) argument in that in their theory, every DPs cannot have a bound variable reading, while in my theory, even DPs can h...

In this document I point out numerous fundamental errors in David Stork’s four recent papers in which he disputes evidence David Hockney and I have presented about use of optical devices by Renaissance painters. Stork’s papers are filled with technical-sounding language that provides them with a veneer of scholarly credibility (lichtkroon, trefoils, sfumato, chiaroscuro, Purkinje shift, Poggend...

The ability to control Poisson's ratio of functional materials has been one the main objectives researchers attempting develop structures efficient from perspective protective, biomedical and soundproofing devices. This task becomes even more challenging at small scales, such as microscale, where possibility mechanical properties is very significant, like in case flexible electronics. In this w...

The equivalence between autonomicity and the absence of free variables is a well-known result for linear, shift-invariant and complete behaviors over a field. However, this no longer holds for a behavior that does not satisfy one of those properties. In this paper we consider linear, shift-invariant and complete behaviors over the ring Zpr and study under which conditions such behaviors are aut...