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...

In retailer management, the Newsvendor problem has widely attracted attention as one of basic inventory models. In the traditional approach to solving this problem, it relies on the probability distribution of the demand. In theory, if the probability distribution is known, the problem can be considered as fully solved. However, in any real world scenario, it is almost impossible to even approx...

Efficient numerical methods for evaluating the loss distributions of synthetic CDOs are important for both pricing and risk management purposes. In this paper we discuss several methods for loss distribution evaluations. We first develop a stable recursive method. Then the improved compound Poisson approximations proposed by Hipp [12] are introduced. Finally, the normal power approximation meth...

The Amazon basin is one of the most biologically diverse places on earth. However, agricultural expansion and infrastructure development have led to widespread deforestation that threatens the survival of many taxa. Conservation strategies to contest these threats include protected areas and environmental legislation. Nevertheless, the basic biology of many taxa is largely unknown, which poses ...

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...