A b s t r a c t In this paper, we briefly discuss the dynamic and functional approach to computer symbolic tensor analysis. The ccgrg package for Wolfram Language/Mathematica is used to illustrate this approach. Some examples of applications are attached.

In this article, we propose a fuzzy class relation assigning to each pair of finite fuzzy sets a degree to which they are equipollent, which indicates that they have the same number of elements. The concepts of fuzzy sets and fuzzy classes in the class of all countable sets are introduced, and several standard relations and constructions, such as the fuzzy power set and exponentiation, are defi...

This paper considers the stability problem of linear delay-differential systems of neutral type. A discretized Lyapunov functional approach is developed. The resulting stability criteria are formulated in the form of a linear matrix inequality. For nominal systems, the analytical results can be approached with fine discretization. For uncertain systems, the new approach is much less conservativ...

In anticipation of the explosive growth of digital libraries, a complex study was undertaken seeking to evaluate 21 diverse services at 5 major academic research libraries. This work stands as a model for evaluation of digital libraries, through its focus on both the costs of operations and the impacts of the services that those operations provide. The data have been analyzed using both statist...

In this paper, we present a pattern-based software development method that preserves usability and security quality characteristics using a role-driven mapping of requirements analysis documents to architectural design artifacts. The quality characteristics usability and security are captured using specialized problem frames, which are patterns that serve to structure, characterize, and analyze...

Keywords: Power Average operator Support function Dominance-based rough set approach Ordinal preference Group decision making a b s t r a c t In group decision making (GDM) problems, ordinal data provide a convenient way of articulating preferences from decision makers (DMs). A number of GDM models have been proposed to aggregate such kind of preferences in the literature. However, most of the ...

This work presents a numerical study of functional type a posteriori error estimates for IgA approximation schemes in the context of elliptic boundary-value problems. Along with the detailed discussion of the most crucial properties of such estimates, we present the algorithm of a reliable solution approximation together with the scheme of efficient a posteriori error bound generation that is b...

We describe a functional programming approach to the design of outlines of eighteenth-century string instruments. The approach is based on the research described in François Denis’s book, Traité de lutherie. The programming vernacular for Denis’s instructions, which we call functional geometry, is meant to reiterate the historically justified language and techniques of this musical instrument d...

We present a set of problem frames specialized to the area of geographic applications. Problem frames describe the elements of common problems, and help a specifier understand and decompose a complex problem into simpler subproblems for which a solution is often known. We provide an overview of the main issues in geographic applications, and present twelve frames that address many of the proble...