In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the g-frame situation.

In this paper we propose a new approach to plane partitioning with similar features to those of Polar Diagram, but we assume that the pole is close to the sites. The result is a new tessellation of the plane in regions called Near Pole Polar Diagram NPPD. Here we define the (NPPD) of points, the dual and the Contracted dual of it, present an optimal algorithms to draw them and discuss the appli...

a newly developed heavy duty diesel engine in dual fuel mode of operation has been studied in detail. the main fuel would be natural gas and diesel oil as pilot injection. the importance and effects of mixture preparation and formation through ports, valves and in cylinder flow field with different swirl ratio and tumble on diesel combustion phenomena is an accepted feature which has been studi...

in this article, the sliding mode control of frequency load control of power systems is studied. the study areaconsists of a system of water and heat. first, a mathematical model of the proposed system disturbances ismade and then sliding control mode for frequency load control is provided. by the system simulation andsliding mode control, it can be shown that the damping of oscillations is wel...

there is a high degree (>95%) of intraspecies similarity in the coat protein (cp) amino acid sequences within passionfruit woodiness virus (pwv) and cucumber mosaic virus (cmv), both infecting passionfruit vine in new south wales. on this basis, a dual transgene containing the translatable cdnas coding for the cps of pwv and cmv was constructed in the binary vector pbi121 and used for transform...

fracture. several chronic medical conditions, medications, and life style factors affect bone mineral accrual. this study aims to evaluate the bone mineral densities and hip axis lengths in the local population. materials and methods: 336 normal bangladeshi women age ranges 20 to 70 years had evaluation of their bone mineral densities (bmds) by means of dual x-ray absorptiometry (dxa). results:...

‎We study dual integral equations which appear in formulation of the‎ ‎potential distribution of an electrified plate with mixed boundary‎ ‎conditions‎. ‎These equations will be converted to a system of‎ ‎singular integral equations with Cauchy type kernels‎. ‎Using‎ ‎Chebyshev polynomials‎, ‎we propose a method to approximate the‎ ‎solution of Cauchy type singular integral equation which will ...

Let φ be a w-continuous homomorphism from a dual Banach algebra to C. The notion of φ-Connes amenability is studied and some characterizations is given. A type of diagonal for dual Banach algebras is dened. It is proved that the existence of such a diagonal is equivalent to φ-Connes amenability. It is also shown that φ-Connes amenability is equivalent to so-called φ-splitting of a certain short...