The fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membershipvalue of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is presenthas been well established. Most of the integral inequalities studied in the fuzzy integration context normally considerconditions such as monotonicity or comonotonicity....

We derive a cluster expansion for the effective dielectric constant €* of a dispersion of equal-sized spheres distributed with arbitrary degree of impenetrability. The degree of impenetrability is characterized by some parameter A whose value varies between zero (in the case of randomly centered spheres, i.e., fully penetrable spheres) and unity (in the instance of totally impenetrable spheres)...

An inversion procedure is used to obtain from the extended principle of corresponding - states the pair interaction potentials for argon, krypton and its mixture over a tetnperature range from absolute zero to the onset of ionization. The experimentally-reduced viscosity collision integrals obtained from the corresponding - states correlation have been inverted directly to give the reduced...

A formulation and an implementation of two-dimensional Boundary Element Method (BEM) analysis for steady state, uncoupled thermoelastic problems is presented. This approach differs from other treatments of thermal loads in BEM analysis in which the domain integrals due to the thermal gradients are to be incorporated in the analysis via particular-integrals. Thus unlike Finite Elements or Field ...

The Wigner-Smith (WS) time-delay concepts have been used extensively in quantum mechanics to characterize delays experienced by particles interacting with a potential well. This article formally extends WS theory Maxwell's equations and explores its applications electromagnetics. matrix relates lossless reciprocal system's scattering frequency derivative allows for the construction of modes tha...

An efficient numerical approach to nonlinear propagation in waveguides based on an approximation of the overlap integrals’ frequency dependence is proposed. Two test cases are studied: a weakly guiding step-index fiber and parabolic-index fiber, where compared standard neglecting calculating overlaps at center wavelength ...

Recently, we have developed an efficient recursive approach for analytically calculating the short-time expansion of the propagator to extremely high orders for a general many-body quantum system. Here we give brief overview of this approach and then demonstrate application of this technique by numerically studying the thermodynamical properties of a rotating ideal Bose gas of Rb atoms in an an...

an inversion procedure is used to obtain from the extended principle of corresponding - states the pair interaction potentials for argon, krypton and its mixture over a tetnperature range from absolute zero to the onset of ionization. the experimentally-reduced viscosity collision integrals obtained from the corresponding - states correlation have been inverted directly to give the reduced-inte...

In this paper, we will consider hypersingular integrals as they arise by transforming elliptic boundary value problems into boundary integral equations. First, local representations of these integrals will be derived. These representations contain so-called finite-part integrals. In the second step, these integrals are reformulated as improper integrals. We will show that these integrals can be...