Now, in analogy to Ramsay's theorem, one might consider the following problem. Suppose that, for some u > 0, there is associated with each k-tuple X = {x l , • • • , xk } of elements of an infinite set S a measurable set F(X) of [0, 1] such that m(F(X)) > u . Does there always exist an infinite subset S' of S such that the sets F(X) corresponding to the k-tuples X of S' have a nonempty intersec...

Two thousand four hundred and ninety eggs were collected from retail markets in 6 provinces and from laying hen farms in 3 provinces. Eggs were pooled in groups of 3 to obtain 830 samples for testing. Isolation of salmonellae was made from both egg shell and egg contents. Eggs from retail markets were contaminated with salmonellae on egg shells (13.2%) and in egg contents (3.9%). Three (0.4%) s...

Division of Imaging, Kings College, PET Centre at St Thomas’ Hospital, Guys’ and St Thomas’ Foundation NHS Trust, London, Great Ormond Street Hospital for Sick Children, City and Royal Victoria Hospitals Belfast, Leeds Teaching Hospitals NHS Trust, Blackpool Victoria Hospital, University College London Hospitals NHS Trust and Aberdeen Royal Infirmary, UK Correspondence to Dr Sally F. Barrington...

James's Palace, on Wednesday, December 19, the Grand President (the Prince of Wales) taking the chair. The League, which is an organisation by means of which persons able to give only small sums can subscribe to the Hospitals, makes impartial appeal to public benevolence and disinterested philanthropy for the support of all voluntary Hospitals within its area of operation, and distributes not l...

This paper demonstrates the use of a simple but effective color-based inspection method in parquet slab grading. The approach is to divide the image to small rectangular regions and calculate color percentile features from these areas. Classification is performed in two stages, defect detection and recognition. The recognition results are further used in determining the final grade for the parq...

INTRODUCTION Incidental findings during ultrasound examinations occur frequently with live models in training sessions. Because of the broad scope of training sessions available, the ethics and guidelines of dealing with incidental findings in live models need to be discussed. METHODS We provide a case of an endovaginal ultrasound that had significant unexpected findings. RESULTS This repor...

We prove a local index formula for cusp-pseudodifferential operators on a manifold with boundary. This is known to be equivalent to an index formula for manifolds with cylindrical ends, and hence we obtain a new proof of the classical Atiyah-Patodi-Singer index theorem for Dirac operators on manifolds with boundary, as well as an extension of Melrose’s b-index theorem. Our approach is based on ...

We have investigated the Mott transition in a quasi-two-dimensional Mott insulator EtMe{3}P[Pd(dmit){2}]{2} with a spin-frustrated triangular-lattice in hydrostatic pressure and magnetic-field [Et and Me denote C2H5 and CH3, respectively, and Pd(dmit){2} (dmit=1,3-dithiole-2-thione-4,5-dithiolate,dithiolate) is an electron-acceptor molecule]. In the pressure-temperature (P-T) phase diagram, a v...

We show, without using the Four Color Theorem, that for each planar triangulation, the number of its proper vertex colorings by 4 colors is a determinant and thus can be calculated in a polynomial time. In particular, we can efficiently decide if the number is non-zero.

We consider a closed set S ⊆ Rn and a linear operator Φ: R[X1, . . . , Xn]→ R[X1, . . . , Xn] that preserves nonnegative polynomials, in the following sense: if f ≥ 0 on S, then Φ(f) ≥ 0 on S as well. We show that each such operator is given by integration with respect to a measure taking nonnegative functions as its values. This can be seen as a generalization of Haviland’s Theorem, which conc...