The Partial Averaging method

The partial averaging technique is defined and used in conjunction with the random series implementation of the Feynman-Kac formula. It enjoys certain properties such as good rates of convergence and convergence for potentials with coulombic singularities. In this work, I introduce the reader to the technique and I analyze the basic mathematical properties of the method. I show that the method is convergent for all Kato-class potentials that have finite Gaussian transform.Comment: 9 pages, no figures; one reference correcte

Beyond the poor man's implementation of unconditionally stable algorithms to solve the time-dependent Maxwell Equations

For the recently introduced algorithms to solve the time-dependent Maxwell equations (see Phys.Rev.E Vol.64 p.066705 (2001)), we construct a variable grid implementation and an improved spatial discretization implementation that preserve the property of the algorithms to be unconditionally stable by construction. We find that the performance and accuracy of the corresponding algorithms are significant and illustrate their practical relevance by simulating various physical model systems.Comment: 18 pages, 16 figure

Genetic Variability, Correlation and Path Analysis in Fenugreek Grown under Sub-humid Sub-tropical Red Lateritic Belt of Eastern India

Thirty genotypes of fenugreek were grown during two consecutive winter seasons in sub-humid sub-tropical red lateritic belt of eastern India. Genetic variability, correlation and path coefficients were studied on eight agronomic characters, viz., plant height, days to flowering, branches per plant, pods per plant, pod length, seeds per pod, test weight and seed yield per plant. Analysis of variance pooled over the seasons revealed that the mean squares due to genotypes for all the characters studied were highly significant indicating presence of genetic variation in the test population. The estimates of genotypic and phenotypic coefficient of variation were high for branches per plant, moderate for plant height and test weight, and low for days to flowering and pod length. Heritability estimates were high for plant height, days to flowering, branches per plant and test weight and low for pod number, pod length, seeds per pod and seed yield The results of phenotypic and genotypic coefficient of variability, heritability and genetic advance revealed that improvement through selection for branches per plant, pods per plant and test weight would be effective in this population. Seed yield was positively and significantly correlated with plant height, branch number, pods per plant and seeds per pod at both genotypic and phenotypic levels indicating the importance of these characters for seed yield. The results of path analysis indicated that selection for tall plant height, late flowering with reasonable branch number, high number of seeds per pod and pods per plant are important which will help improve seed yield in this population

Positron emission tomography for staging of oesophageal and gastroesophageal malignancy.

Positron emission tomography (PET) with [18F]-fluoro-2-deoxy-D-glucose (FDG) was prospectively investigated as a means of detecting metastatic disease in patients with oesophageal tumours and compared with computerized tomography (CT), with the surgical findings as a gold standard. Twenty-six patients with a malignant tumour of the oesophagus or gastroesophageal junction underwent CT and PET of the chest and the abdomen. Seven patients underwent laparoscopy to establish resectability. Fifteen patients underwent laparotomy without prior laparoscopy. Four patients did not undergo surgery. The primary tumour was visualized in 81% of patients with CT and in 96% with PET. Neither CT nor PET were suited to assess the extent of wall invasion. Surgically assessed nodal status corresponded in 62% with CT and in 90% with PET. Distant metastases were found in five patients with CT and in eight with PET. The diagnostic accuracy of CT in determining resectability was 65% and for PET 88%. For CT and PET together this was 92%. The present study indicates that FDG-PET can be of importance for staging patients with oesophageal tumours. PET has a higher sensitivity for nodal and distant metastases and a higher accuracy for determining respectability than CT. PET and CT together would have decreased ill-advised surgery by 90%

Міжнародна наукова конференція «Українська мова серед інших слов'янських: етнологічні та граматичні параметри»

5–6 листопада 2009 року у Кривому Розі відбулася Міжнародна наукова конференція «Українська мова серед інших слов’янських: етнологічні та граматичні параметри», присвячена світлій пам’яті видатного українського мовознавця Олександра Васильовича Царука