The topological structure of scalar, vector, and second-order tensor fields provides an important mathematical basis for data analysis and visualization. In this paper, we extend this framework towards higher-order tensors. First, we establish formal uniqueness properties for a geometrically constrained tensor decomposition. This allows us to define and visualize topological structures in symme...

We compute the group of Morita self-equivalences (the Picard group) of a Poisson structure on an orientable surface, under the assumption that the degeneracies of the Poisson tensor are linear. The answer involves mapping class groups of surfaces, i.e., groups of isotopy classes of diffeomorphisms. We also show that the Picard group of these structures coincides with the group of outer Poisson ...

three experiments of 60 days duration were conducted in post larval stage of indian white shrimp, fenneropenaeus indicus, to explore the appropriate protein: lipid ratios in their diets. a common ingredient mixture consisting of; fish meal, shrimp meal, ground nut oil cake, cholesterol, lecithin, vitamins and minerals blended with chicken egg albumin, tapioca flour and cellulose (filler) was us...

this study was carried out to evaluate the effects of different dietary protein (30, 35, 40%) and lipid levels (10, 12, 14%) on growth performance and physiological changes of juveniles caspian kutum (rutilus frisii kutum). six hundred and seventy five fish (1.15 ± 0.01 g) were distributed into 27 aquaria (45 l) and were fed four times daily for 8 weeks. interaction between protein and lipid di...

The problem of explicit generation of unitary operators for atomic systems with degenerate energy levels is considered. The Lie algebra structure is used to derive constructive control schemes for the creation of arbitrary superposition states and selective population interchanges for a transition between two three-fold degenerate energy levels.

in this study the iron status of pregnant women in two different socio-economic groups and also the effect of multigravidity on iron status of the mothers were investigated. blood samples were with drawn from 165 mothers (91 from farah and 74 from missaghieh maternity hospital) immediately after delivery and hemoglobin, hematocrit, serum iron, total iron-binding capacity (tibc) and total protei...

A study was conducted to evaluate the effects of energy and protein levels of maternal diets on growth, some blood parameters, health, and performance of baby goat kids at first month of life. On 95 d after successful mating, 28 synchronized singleton pregnant Sistani goats were randomly allocated to four treatments including 1) low protein and low energy (LPLE), 2) high protein and low energy ...