The aim of this paper is to show that Jensen’s Inequality and an extension of Chebyshev’s Inequality complement one another, so that they both can be formulated in a pairing form, including a second inequality, that provides an estimate for the classical one. 1. Introduction The well known fact that the derivative and the integral are inverse each other has a lot of interesting consequences, on...

network expansion studies normally offer new power lines, new substations or expansion of existing substations. they are generally proposed based on technical requirements, but financial restrictions are not considered. because of financial restrictions, ranking of network expansion plans is required. in this paper an algorithm for such ranking, based on technical and financial view points and ...

this paper presents an application of benders decomposition to deal with the complexities in the simultaneous generation expansion planning (gep) and transmission expansion planning (tep). unlike the power system operation fields of study, the power system planning methods are not expected to be fast. however, it is always preferable to speed up computations to provide more analysis options for...

In this paper we study various models for web graphs with respect to bounded expansion. All the deterministic models even have constant expansion, whereas the copying model has unbounded expansion. The most interesting case turns out to be the preferential attachment model — which we conjecture to have unbounded expansion, too.

in this paper a modification of he's variational iteration method (vim) has been employed to solve dung and riccati equations. sometimes, it is not easy or even impossible, to obtain the first few iterations of vim, therefore, we suggest to approximate the integrand by using suitable expansions such as taylor or chebyshev expansions.

Background and purpose: Transverse problems in the maxilla (high arched- narrow hard plates) can cause respiratory disorders. Palatal expansion can be helpful in this way. The present study aimed at evaluating the effect of bone borne expansion and tooth borne palatal expansion on airway volume. Materials and methods: A review study was performed by search in Google Scholar, Scopus, PubMed, Em...

determination of physical properties of municipal waste compost is necessary to obtain the parameters related to designing and constructing a suitable pelleting machine for producing compost pellets. the purpose of this study is determining some physical properties such as; bulk density, coefficient of friction, porosity, angle of repose for compost and density and expansion for compost pellets...

sudden pipe expansions have been known as efficient hydraulic energy dissipaters for a long time. the complex phenomenon of flow separation and velocity discontinuity at the interface of incoming jet and the recirculation flow, results in intensive shear and tensile rupture of the fluid and the associated destructive phenomenon of cavitation. this paper focuses on aeration in sudden pipe expans...

A prospective longitudinal study in 75 growing cats was conducted to evaluate palatal soft-tissue expansion in cleft lip and palate surgery. In 31 cats, palatal scars were induced by simulated Langenbeck surgery at the age of 8 weeks. At the age of 14 weeks, custom-made tissue expanders were inserted in 61 animals. Tissue expansion was performed by weekly inflation in 33 cats (16 without and 17...