We consider the generalized minimax programming problem (P) in which functions are locally Lipschitz (G, β)-invex. Not only G-sufficient but also G-necessary optimality conditions are established for problem (P). With G-necessary optimality conditions and (G, β)-invexity on hand, we construct dual problem (DI) for the primal one (P) and prove duality results between problems (P) and (DI). These...

This paper presents a new framework for human capital measurement. The generalized framework can (i) substantially amplify the role of human capital in accounting for cross-country income di¤erences and (ii) reconcile the existing con‡ict between regression and accounting evidence in assessing the wealth and poverty of nations. One natural interpretation emphasizes di¤erences across economies i...

We propose a new method for evaluating the security of block ciphers against di erential cryptanalysis and propose new structures for block ciphers. To this end, we de ne the word-wise Markov (Feistel) cipher and random output-di erential (Feistel) cipher and clarify the relations among the di erential, the truncated di erential and the impossible di erential cryptanalyses of the random output-...

A formal correspondence is established between the curvature theory of generalized implicit hypersurfaces, the classical theory of electromagnetism as expressed in terms of exterior di®erential systems, and thermodynamics. Starting with a generalized implicit surface whose normal ̄eld is represented by an exterior di®erential 1-form, it is possible to deduce the curvature invariants of the impl...

Conventional work ow functionality like task sequencing, split parallelism, join synchronisation and iteration have proven e ective for business process automation and have widespread support in current work ow products. One the other hand, newer requirements for work ows are encountered in practice, opening grave uncertainties about the extensions for current languages. Di erent concepts, alth...

A framework that naturally uni es smoothing and enhancement processes is presented. We generalize the linear and nonlinear scale spaces in the complex domain, by combining the di usion equation with the simpli ed schrodinger equation. A fundamental solution for the linear case is developed. Preliminary analysis of the complex di usion shows that the generalized di usion has properties of both ...

In this paper, the computation of a fractional derivative using the Fourier transform and a digital FIR di!erentiator is investigated. First, the Cauchy integral formula is generalized to de"ne the fractional derivative of functions. Then the fractional di!erentiation property of the Fourier transform of functions is presented. Using this property, the fractional derivative of a function can be...

We present a generalized reduction procedure which encompasses the one based on the momentum map and the projection method. By using the duality between manifolds and ring of functions defined on them, we have cast our procedure in an algebraic context. In this framework we give a simple example of reduction in the non-commutative setting. Partially supported by the Italian Consiglio Nazionale ...

I develop an omnibus speci…cation test for di¤usion models based on the in…nitesimal operator instead of the already extensively used transition density. The in…nitesimal operatorbased identi…cation of the di¤usion process is equivalent to a "martingale hypothesis" for the new processes transformed from the original di¤usion process. The transformation is via the celebrated "martingale problems...