In this paper, we focus on the structured multi-frame vectors in Hilbert $C^*$-modules. More precisely, it will be shown that the set of all complete multi-frame vectors for a unitary system can be parameterized by the set of all surjective operators, in the local commutant. Similar results hold for the set of all complete wandering vectors and complete multi-Riesz vectors, when the surjective ...

in this paper, the dual area vector of a closed dual spherical curve is kinematically generatedand the dual steineer vector of a motion are extensively studied by the methods of differential geometry.jacobi’s theorems, known for real curves, are investigated for closed dual curves. the closed trajectorysurfaces generated by an oriented line are fixed in a moving rigid body in ir3 , in which the...

The SST decomposition method for solving system of linear equations make it possible to obtain the values of roots of the system with the specified accuracy as the limit of the sequence of some vectors. In this topic we are going to consider vectors as fuzzy vectors. We have considered a numerical example and tried to find out solution vector x in fuzzified form using method of SST decomposition.

This work introduces the following concepts of directional and estimated Pareto front to encourage multi-objective decision making, especially when exists in limited regions objective space. The general output optimization is a set non-dominated solutions approximate front. When regions, few are obtained presented maker. representing value trade-off barrier making. introduced this study superse...

background: orang primary health centre (ophc) and balipara primary health centre (bphc) of assam (india) report mosquito borne diseases annually. current study was performed to ascertain the prevalence of known malaria and japanese encephalitis (je) vectors and their possible role in disease transmission. methods: malaria epidemiological data for 2006–2010 and je data for 2008–2013 of assam, i...