Selection of appropriate material is a crucial step in engineering design and manufacturing process. Without a systematic technique, many useful engineering materials may be ignored for selection. The category of multiple attribute decision-making (MADM) methods is an effective set of structured techniques. Having uncomplicated assumptions and mathematics, the MULTIMOORA method as an MADM appro...

An existence theorem in the large is obtained for the Riemann problem for nonlinear systems of conservation laws. Our principal assumptions are strict hyperbolicity, genuine nonlinearity in the strong sense, and the existence of a convex entropy function. The entropy inequality is used to obtain an a priori estimate of the strengths of the shocks and refraction waves forming a solution; existen...

In a previous paper we described a natural closed subset M 0 1,k(X,A; J) of the moduli space M1,k(X,A; J) of stable genus-one J-holomorphic maps into a symplectic manifold X . In this paper we generalize the definition of the main component to moduli spaces of perturbed, in a restricted way, J-holomorphic maps. This generalization implies that M 0 1,k(X,A; J), just like M1,k(X,A; J), carries a ...

Working over an algebraically closed base field k of characteristic 2, the ring of invariants R is studied, where G is the orthogonal group O(n) or the special orthogonal group SO(n), acting naturally on the coordinate ring R of the m-fold direct sum k⊕ · · · ⊕ k of the standard vector representation. It is proved for O(2), O(3) = SO(3), SO(4), and O(4), that there exists an m-linear invariant ...

New invariants of measures, called the β-statentropy, are described. They are similar to the entropy and the HP -spectrum for dimensions. The βstatentropy admits construction of a statistical estimator calculated by n independent points distributed in accordance with a given measure. The accuracy of this estimator is O(n−c), where c is some constant, and the complexity of calculation is O(n2). ...

We propose a formal extension of thermodynamics and kinetic theories to a larger class of entropy functionals. Kinetic equations associated to Boltzmann, Fermi, Bose and Tsallis entropies are recovered as a special case. This formalism first provides a unifying description of classical and quantum kinetic theories. On the other hand, a generalized thermodynamical framework is justified to descr...

A paradigm for describing dynamical systems that have both Hamiltonian and dissipative parts is presented. Features of generalized Hamiltonian systems and metric systems are combined to produce what are called metriplectic systems. The phase space for metriplectic systems is equipped with a bracket operator that has an antisymmetric Poisson bracket part and a symmetric dissipative part. Flows a...

Working over an algebraically closed base field k of characteristic 2, the ring of invariants R is studied, where G is the orthogonal group O(n) or the special orthogonal group SO(n), acting naturally on the coordinate ring R of the m-fold direct sum k⊕ · · · ⊕ k of the standard vector representation. It is proved for O(2), O(3) = SO(3), SO(4), and O(4), that there exists an m-linear invariant ...

We propose a static analysis for computing polynomial invariants for imperative programs. The analysis is derived from an abstract interpretation of a backwards semantics, and computes preconditions for equalities like g = 0 to hold at the end of execution. A distinguishing feature of the technique is that it computes polynomial loop invariants without resorting to Gröbner base computations. Th...