BACKGROUND AND PURPOSE The mesencephalon is involved in a number of human neurodegenerative disorders and has been typically imaged with T1-, T2- and T2*-weighted methods. Our aim was to collect high-contrast susceptibility-weighted imaging (SWI) data to differentiate among and within the basic mesencephalic structures: namely, the red nucleus, substantia nigra, and crus cerebri. MATERIALS AN...

In this paper all cocyclic Hadamard matrices of order less than 40 are classified. That is, all such Hadamard matrices are explicitly constructed, up to Hadamard equivalence. This represents a significant extension and completion of work by de Launey and Ito. The theory of cocyclic development is discussed, and an algorithm for determining whether a given Hadamard matrix is cocyclic is describe...

Direct near-IR excitation of Yb(3+) 2F(7/2)-->(2)F(5/2) levels at 10126, 10138, and 10596 cm(-1) in CsMnBr3:0.5%Yb(3+) leads to three types of luminescence at cryogenic temperatures: near-IR Yb(3+) emission and green and red upconverted luminescence. The green luminescence around 20 000 cm(-1) is identified as cooperative Yb(3+) pair upconversion. The broad red upconversion luminescence band ce...

If a Williamson matrix of order 4w exists and a special type of design, a set of Baumert-Hall units of order 4t, exists, then there exists a Hadamard matrix of order 4tw. A number of special Baumert-Hall sets of units, including an infinite class, are constructed here; these give the densest known classes of Hadamard matrices. The constructions relate to various topics such as pulse compression...

The Muon Ionization Cooling Experiment (MICE) aims to measure a 10% reduction in a muon beam emittance to within 1%. To achieve this two scintillating fibre trackers will be placed within a 4T solenoidal field. The trackers utilise fibres with a diameter of 350μm to provide a position resolution of less than 0.5mm. Details of the tracker hardware, electronics and its calibration and reconstruct...

Let D*(v) denote the maximum number of pairwise disjoint and isomorphic Steiner triple systems of order v. The main result of this paper is a lower bound for D*(v), namely D*(6r+3)^ 4t—1 or 4/+1 according as 2/+1 is or is not divisible by 3, and D*(6f+l)^?/2 or t according as t is even or odd. Some other related problems are studied or proposed for study.

A new subclass of Hadamard full propelinear codes is introduced in this article. We define the HFP(2t, 2, 2)-codes as codes with a group structure isomorphic to C2t × C 2 2 . Concepts such as rank and dimension of the kernel are studied, and bounds for them are established. For t odd, r = 4t−1 and k = 1. For t even, r ≤ 2t and k 6= 2, and r = 2t if and only if t 6≡ 0 (mod 4).

Let {Lt ; (x, t) ∈ R1 ×R1 +} denote the local time of Brownian motion and αt := ∫ ∞ −∞ (Lt ) 2 dx. Let η = N(0, 1) be independent of αt. For each fixed t ∫∞ −∞(L x+h t − Lt )2 dx− 4ht h3/2 L → ( 64 3 )1/2 √ αt η, as h → 0. Equivalently ∫∞ −∞(L x+1 t − Lt )2 dx− 4t t3/4 L → ( 64 3 )1/2 √ α1 η, as t → ∞.