We prove a stability estimate related to the multi-dimensional Borg-Levinson theorem of determining a potential from spectral data: the Dirichlet eigenvalues λk and the normal derivatives ∂φk/∂ν of the eigenfunctions on the boundary of a bounded domain. The estimate is of Hölder type, and we allow finitely many eigenvalues and normal derivatives to be unknown. We also show that if the spectral ...

According to standard pragmatics, we should account for conversational implicatures in terms of Grice’s (1967) maxims of conversation. Neo-Griceans like Atlas & Levinson (1981) and Horn (1984) seek to reduce those maxims to the so-called Q and I-principles. In this paper I want to argue that (i) there are major problems for reducing Gricean pragmatics to these two principles, and (ii) in fact, ...

Musical Platonists identify musical works with abstract sound structures but this implies that they are not created but only discovered. Jerrold Levinson adapts Platonism to allow for creation by identifying musical works with indicated sound structures. In this paper I explore the similarities between Levinson’s view and Kit Fine’s theory of qua objects. Fine offers the theory of qua objects a...

We use theory and empirics to examine the effect of environmental regulations on trade flows. A simple model demonstrates how unobserved heterogeneity, endogeneity, and aggregation issues bias standard measurements of this relationship. A reduced-form estimate of the model, using data on U.S. regulations and trade with Canada and Mexico for 130 manufacturing industries from 1977 to 1986, indica...

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In this paper, we deal with the inverse spectral problem for the equation −(pu′)′ + qu = λρu on a finite interval (0, h). We give some uniqueness results on q and ρ from the Gelfand spectral data, when the coefficients p and ρ are piecewise Lipschitz and q is bounded. We also prove an equivalence result between the Gelfand spectral data and the Borg–Levinson spectral data. As a consequence, we ...

This paper describes the generalized lattice model of human vocal tract for speech analysis, relating it to the all pole type linear prediction. A more natural synthesized speech can be achieved using Auto Regressive (AR) lattice model. Speech analysis is done using linear prediction. The structure of AR lattice model is numerically stable, which is main requirement in speech analysis and synth...

We commend Wendy Levinson for her provocative suggestions regarding revalidation of Canadian physicians. We also applaud CMAJ for publishing views that are more demanding and supportive of meaningful external verification of Canadian physicians’ ongoing competence than those of the Canadian Medical Association. We agree with much of what Levinson has advocated, specifically the call for a reval...