We present Arecibo observations of PSR B1534+12 which confirm previous suggestions that the pulse profile is evolving secularly. This effect is similar to that seen in PSR B1913+16, and is almost certainly due to general relativistic precession of the pulsar’s spin axis.

In this paper, we develop the theory of flag manifold over a semifield for any Kac-Moody root datum. We show that admits natural action monoid associated with datum and cellular decomposition. This extends previous work Lusztig, Postnikov, Rietsch others on totally nonnegative manifolds (of finite type) Speyer, Williams tropical type). As by-product, prove conjecture Lusztig duality type.

− div ( |∇up|p−2∇up ) = f in Ω up = 0 on ∂Ω, where p > 1 and Ω is a bounded open set of R (N ≥ 2) with Lipschitz boundary. We analyze the case where Ω is a ball and the datum f is a non-negative radially decreasing function belonging to the Lorentz space LN,∞(Ω) and the case where the datum f belongs to the dual space W−1,∞(Ω). We are interested in finding the pointwise limit of up as p goes to...

A root datum is a quadruple L = (L,∆, L,∆) in which (1) L is a free Z-module of finite rank and L is its dual Hom(L,Z); (2) ∆ is a finite subset of L and ∆ is one of L; (3) implicit is a map α 7→ α from ∆ to∆ such that (〈α, β∨〉) is a Cartan matrix. In the literature, this is usually called a based root datum. For my purposes it serves as a better beginning. I’ll say later something about the di...

Ever since the introduction of coordinate measuring machines (CMMs), their measuring accuracy has been studied. Much research work has focused on the accuracy characteristics of the measuring system, e.g. the static errors and dynamic errors of the machines. However, the additional error sources can be introduced when a measuring coordinate system is set up. This paper describes how to analyse ...

We study pointwise convergence of the solutions to Schrödinger equations with initial datum f ∈ H(R). The conjecture is that the solution ef converges to f almost everywhere for all f ∈ H(R) if and only if s ≥ 1/4. The conjecture is known true for one spatial dimension and the convergence when s > 1/2 was verified for n ≥ 2. Recently, concrete progresses have been made in R for some s < 1/2. Ho...

As the important implementation of biometric technology, palmprint verification is one of the most reliable personal identification methods. In this paper, a new approach to palmprint verification based on line feature matching and datum point invariance is presented. The datum points of palmprint, which act as the important registrations, are defined owing to their remarkable advantage of inva...

The datum σ yields a measure dσ on the boundary ∂P—on each edge E we take dσ to be a constant multiple of the standard Lebesgue measure with the constant normalised so that the mass of the edge is σ(E). Equally, the datum σ specifies an affine-linear defining function λE for each edge E, i.e. the edge lies in the hyperplane λ E (0). We choose an inward-pointing normal vector v at a point of E w...