In the context of Calculus Variations for non-convex, vector variational problems, natural process going from a function $$\phi $$ to its quasiconvexification $$Q\phi is quite involved, and, most time, an impossible task. We propose look at reverse process, what might be called inverse quasiconvexification: start _0$$ , and find functions which _0=Q\phi . addition establishing few general princ...

Users' engagement with pervasive displays has been extensively studied, however, determining how their content is interesting remains an open problem. Tracking of body postures and gaze explored as indication attention; still, existing works have not able to estimate the interest passers-by from readily available data, such display viewing time. This article presents a simple yet accurate metho...

Let complex matrices $A$ and $B$ have the same sizes. Using the singular value decomposition, we characterize the $g$-inverse $B^{(1)}$ of $B$ such that the distance between a given $g$-inverse of $A$ and the set of all $g$-inverses of the matrix $B$ reaches minimum under the unitarily invariant norm. With this result, we derive additive and multiplicative perturbation bounds of the nearest per...

Traditional DEA models do not deal with imprecise data and assume that the data for all inputs and outputs are known exactly. Inverse DEA models can be used to estimate inputs for a DMU when some or all outputs and efficiency level of this DMU are increased or preserved. this paper studies the inverse DEA for fuzzy data. This paper proposes generalized inverse DEA in fuzzy data envelopment anal...