Scattering theory and linear optimal control: Regulator and servo problems

In this paper, several known computational solutions are readily obtained in a very natural way for the linear regulator, fixed end-point and servo-mechanism problems using a certain frame-work from scattering theory. The relationships between the solutions to the linear regulator problem with different terminal costs and the interplay between the forward and backward equations have enabled a concise derivation of the partitioned equations, the forward-backward equations, and Chandrasekhar equations for the problem. These methods have been extended to the fixed end-point, servo, and tracking problems.

Les mille et une nuits. Tome 10 / , contes arabes, traduits en français par M. Galland,...

[Mille et une nuits (français). 1822]

Evaluaci??n del rendimiento escolar : matem??ticas 6?? de educaci??n primaria : Plan General de Actuaci??n : informe final de la Inspecci??n de Educaci??n

Este informe eval??a los resultados que se han producido en la asignatura de matem??ticas de sexto curso de primaria en lo ??ltimos a??os en la Comunidad de Madrid. Se trata de un plan de evaluaci??n con la recogida de datos, an??lisis de los resultados y an??lisis del rendimiento de los alumnos al final de la educaci??n primaria. Se incluye una comparaci??n con los resultados de la misma evaluaci??n realizada en 1999..

Pain pressure threshold algometry of the abdominal wall in healthy women

The objective of this study was to determine the inter- and intra-examiner reliability of pain pressure threshold algometry at various points of the abdominal wall of healthy women. Twenty-one healthy women in menacme with a mean age of 28 +/- 5.4 years (range: 19-39 years) were included. All volunteers had regular menstrual cycles (27-33 days) and were right-handed and, to the best of our knowledge, none were taking medications at the time of testing. Women with a diagnosis of depression, anxiety or other mood disturbances were excluded. Women with previous abdominal surgery, any pain condition or any evidence of inflammation, hypertension, smoking, alcoholism, or inflammatory disease were also excluded. Pain perception thresholds were assessed with a pressure algometer with digital traction and compression and a measuring capacity for 5 kg. All points were localized by palpation and marked with a felt-tipped pen and each individual was evaluated over a period of 2 days in two consecutive sessions, each session consisting of a set of 14 point measurements repeated twice by two examiners in random sequence. There was no statistically significant difference in the mean pain threshold obtained by the two examiners on 2 diferent days (examiner A: P = 1.00; examiner B: P = 0.75; Wilcoxon matched pairs test). There was excellent/good agreement between examiners for all days and all points. Our results have established baseline values to which future researchers will be able to refer. They show that pressure algometry is a reliable measure for pain perception in the abdominal wall of healthy women.

Multifocal posterior uveitis in Crohn's disease

PURPOSE To report a case of rare posterior eye manifestation of Crohn's disease preceding recurrence of inflammatory bowel disease. METHODS Case report with ophthalmoscopic findings, fluorescein/indocyanin green angiograms, automated perimetry and multifocal-ERG. RESULTS The perimetry revealed absolute and relative scotomas corresponding to multifocal inflammatory lesions in the retina and choroid, reduced a/b amplitudes in multifocal-ERG and hypofluorescent dots in angiography. Under oral prednisolone visual defects, ophthalmoscopic and angiographic findings resolved, while a/b amplitudes remained mildly reduced. The ocular changes occurred without systemic hypertension and were followed by a new episode of intestinal symptoms. CONCLUSION Multifocal inflammatory lesions in the retina and choroid in patients with Crohn's disease may occur and may precede a recurrent intestinal episode. Crohn's patients should be carefully followed up in collaboration with internal medicine specialists.