study of economic efficiency is of particular significance in evaluation of the public sector of the economy. there two alternative critorias for the measurement of efficiency: namely ratio analysis, and frontier 'analysis. the first criteria takes the ratio of inputs as compared to the outputs. the second criteria, however.first attempts to stablisb the product and cost efficiency frontie...

We present a generalization of the Euclidean and Riemannian gradient operators to a vector bundle, a geometric structure generalizing the concept of manifold. One of the key ideas is to replace the standard differentiation of a function by the covariant differentiation of a section. Dealing with covariant derivatives satisfying the property of compatibility with vector bundle metrics, we constr...

OBJECTIVE To investigate whether motor evoked potential (MEP) amplitude ratio measurements are sufficiently objective to assess functional activities of the extremities. We also delineated the distribution between the presence or absence of MEPs and the Medical Research Council (MRC) scale for muscle strength of the extremities. METHODS We enrolled 183 patients with first-ever unilateral hemi...

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