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Kiselev and Simon ([13]) considered rank one singular perturbations of general type and formulate such perturbation in terms of a resolvent formula. In an attempt to generalize it beyond the rank one case, it is found that this expression in its generality describes resolvents of a rather wide class of closed operators (or all selfadjoint operators). Bounded operators from the domain of unperturbed operator with the graph norm to its dual space will serve as a parameter. As an application point interactions in one-dimension will be discussed systematically, recapturing selfadjoint boundary conditions associated to the problem.

(2001). Effects of impurity elements on solidification cracking in electron beam welding of pipeline steel. Study of all‐position electron beam welding of large diameter pipeline joints (3rd report) Welding International: Vol. 15, No. 5, pp. 354-359.

Conventionally, the site welding of large diameter natural gas line pipes have been performed by using arc welding processes, including shielded metal arc welding and. gas metal arc welding. In order to achieve a drastic improvement of the productivity, authors have executed fundamental study on the application of the electron beam welding process to the site welding of line pipes.This paper, as the first report, describes the influence of the welding position to the proper electron beam welding parameters in API-5L X65 line pipe steel of 19 mm thick. As a result of welding trials in various welding positions, it was clarified that the beam focusing condition and the welding speed should be properly controlled according to the welding position to obtain satisfactory weld bead shape. In the flat position, to prevent the under-fill on the surface, the beam focus had to be located under the plate surface. On the contrary, in the over-head position, the proper weld bead was obtained by positioning the beam focus outside the plate surface. In the vertical upward position, welding speed had to be kept lower to prevent the humping bead formation.On the basis of above investigation, it has been basically confirmed that the all-position circumferential welding of large diameter line pipes can be performed with the electron beam welding process.

Criterion validity of a two-stage Cross-Cultural Cognitive Examination (CCCE) designed for epidemiologic use was evaluated in Japanese subjects by comparison with a physician's DSM-III-R diagnosis of dementia and the Hasegawa Dementia Rating Scale (the standard Japanese instrument similar to the Mini-Mental State Exam). We report on 188 subjects tested in three locations in Japan: Tokyo area, Ise, and Osaka. Subjects ranged in age (50-93 years) and education (1-22 years) and included neurology outpatients, community volunteers, and inpatients. The CCCE was 97.4% specific for dementia, with sensitivity of 88%. The correlation with the Hasegawa scale was significant (r(175) = .8230, p less than .0001). Diagnosis using the CCCE showed good validity when compared with Japanese criteria for dementia. If the instrument could be shown to be reliable and more "culture fair" than the currently available tests, it may be useful in cross-cultural epidemiologic studies of dementia.