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 ...

this study investigated utilization of electronic learning facilities among agricultural students in michael okpara university of agriculture, umudike. one hundred and twenty (120) students undergoing training in different agricultural courses in the university were randomly selected. data were collected with a structured questionnaire and analyzed with descriptive statistics such as frequency ...

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 survey, opsonization activity of sera in 110 patients with meningitis, sepsis and recurrent infection 12 patients after healing and 50 normal adults has been studied. opsonization activity was measured by an assay depending on electronic particle counting to measure yeast uptake (alternative pathway activator) which was modified in our laboratory. three classes of immunoglobulins (lgg, ...

the research in new organic π-conjugated molecules with specific properties has become one of the most interesting topics in fields of materials chemistry. these materials are promising for optoelectronic device technology such as solar cells. on the other hand, the use of low band gap materials is a viable method for better harvesting of the solar spectrum and increasing its efficiency. the co...

In the present work, the quantum theoretical calculations of the molecular structure of the compound 2-(Cyclohexylamino)-2-oxo-1-(quinolin-4-yl)ethyl 4-Chlorobenzoate have been predicted using Density Functional Theory (DFT) in the gas phase. The geometry of the title structure was optimized by B3LYP/6-31+G* and HF/6-31+G* levels of theory. The theoretical 1H and 13C NMR chemical shift values o...

This study investigated utilization of electronic learning facilities among Agricultural students in Michael Okpara University of Agriculture, Umudike. One hundred and twenty (120) students undergoing training in different agricultural courses in the university were randomly selected. Data were collected with a structured questionnaire and analyzed with descriptive statistics such as frequency ...

the subject under investigation has been electronic learning (e-learning) or electronic education (e-education), specifically concentrating on virtual university. virtual university has been the subject of much debate in recent years. in short, the concept of virtual university denotes a learning/educational system/environment based on internet where higher education is promoted using tools and...