The inversion method proposed by Glück and Kawabe uses grammar programs as intermediate results that comprise sequences of operations (data generation, matching, etc.). The determinization method used in the inversion method fails for a grammar program of which the collection of item sets causes a conflict even if there exists a deterministic program equivalent to the grammar program. In this p...

It is proved that the Newton-Sabatier (NS) procedure is not a valid inversion method, in the following sense: 1) it is not possible to carry this procedure through for the phase shifts corresponding to a q ∈ L 1,1 such that ∞ 0 rq(r)dr = 0, where L 1,1 := {q : q = q, ∞ 0 r|q(r)|dr < ∞, 2) the ansatz (*) K(r, s) = ∞ l=0 c l ϕ l (r)u l (s), ∞ l=0 |c l | < ∞, similar to the one used in the NS proc...

In adaptive cluster sampling, first proposed by Thompson (1990, 1992) and studied in detail by Thompson and Seber (1996), an initial sample of units is selected and, whenever the value of the variable of interest satisfies a specified condition, neighbouring units are added to the sample. The neighbourhood of a unit may be defined by spatial proximity or, in the case of human population, by soc...

BACKGROUND & OBJECTIVES Estimation of disease burden due to leprosy by conventional sampling procedure is difficult due to large sample size requirement. In such situation, inverse sampling procedure could be a choice. A pilot study was undertaken to study the feasibility of adopting inverse sampling procedure over conventional sampling in an endemic area of Uttar Pradesh, India. METHODS Two ...

The problem of determining the inputs to the rotary axes of a 5–axis CNC machine is addressed, such that relative variations of orientation between the tool axis and surface normal are minimized subject to the constraint of maintaining a constant cutting speed with a ball-end tool. In the context of an orientable–spindle machine, the results of a prior study are directly applicable to the solut...

The Sommerfeld integral inversion method for the Helmholtz equation in an angular region with diierent boundary values leads to boundary value problems in an innnite strip of the complex plane. We investigate a generic system for such boundary value problems and give existence and uniqueness results with optimal growth estimates on the solution. We also give the solutions of the Dirichlet probl...

This paper presents an approach to articulatory inversion using audio and video of the user’s face, requiring no special markers. The video is stabilized with respect to the face, and the mouth region cropped out. The mouth image is projected into a learned independent component subspace to obtain a low-dimensional representation of the mouth appearance. The inversion problem is treated as one ...