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- A. J. Wilkie, Jeff B. Paris
- Ann. Pure Appl. Logic
- 1987

- Jeff B. Paris, A. J. Wilkie, Alan R. Woods
- J. Symb. Log.
- 1988

Press are collaborating with JSTOR to digitize, preserve and extend access to The Journal of Symbolic Logic. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new… (More)

- A. J. Wilkie
- 1996

Recall that a subset of R is called semi-algebraic if it can be represented as a (finite) boolean combination of sets of the form {~ α ∈ R : p(~ α) = 0}, {~ α ∈ R : q(~ α) > 0} where p(~x), q(~x) are n-variable polynomials with real coefficients. A map from R to R is called semi-algebraic if its graph, considered as a subset of R, is so. The geometry of… (More)

Let X ⊂ R be a set that is definable in an o-minimal expansion of R. This paper shows that, in a suitable sense, there are very few rational points of X that do not lie on some connected semialgebraic subset of X of positive dimension. 2000 Mathematics Subject Classification: 11G99, 03C64

- A. J. Wilkie
- 2005

Let F be a collection of holomorphic functions and let R(PR(F)) denote the reduct of the structure Ran to the ordered field operations together with the set of proper restrictions (see below) of the real and imaginary parts of all functions in F . We ask the question: Which holomorphic functions are locally definable (ie have their real and imaginary parts… (More)

- S Dunzhu, Fu-Sheng Wang, +6 authors Ken L Bassett
- The British journal of ophthalmology
- 2003

BACKGROUND
Public health officials of the Tibet Autonomous Region (TAR) of China requested a survey of blindness, eye diseases, and eye care service utilisation to assist the development of a 10 year blindness prevention and treatment plan. The objective of the survey was to determine the prevalence of blindness and visual impairment, as well as cataract… (More)

- J.-P. ROLIN, A. J. Wilkie
- 2003

The work in this paper has been motivated by two questions from the theory of o-minimality (see for instance [6]): (1) Does every o-minimal expansion of the real field admit analytic cell decomposition? (2) Does there exist a “largest” o-minimal expansion M of the real field, in the sense that any other o-minimal expansion of the real field is a reduct of… (More)

- Ross McD Young, Bruce Robert Lawford, +5 authors Susan Shadforth
- Alcohol and alcoholism
- 2002

AIMS
The frequency of the Taq I A alleles (A1 and A2) of the D2 dopamine receptor (DRD2) gene was examined in Caucasian post-traumatic stress disorder (PTSD) patients and controls.
RESULTS
In 91 PTSD patients, the frequency of the A1 allele was higher (P = 6.12 x 10(-3)) than in the 51 controls. In the 38 PTSD harmful drinkers (>or=60 g alcohol/day), A1… (More)

- Ken L Bassett, Kukuh Noertjojo, +5 authors Paul Courtright
- The British journal of ophthalmology
- 2005

BACKGROUND
A recently published, population based survey of the Tibet Autonomous Region (TAR) of China reported on low vision, blindness, and blinding conditions. This paper presents detailed findings from that survey regarding cataract, including prevalence, cataract surgical coverage, surgical outcome, and barriers to use of services.
METHODS
The Tibet… (More)

- A. J. Wilkie
- 2001