This paper explores the method for evaluating the risks of venture capital projects. Based on analyzing the factors affecting the risks of venture capital projects, I establish an index system for evaluating the risks. I present a model for evaluating the risk level of single venture capital project by applying the uncertain type analysis of hierarchy process and the extended weighted arithmeti...

The paper at first expounds two new concepts of sustainability degree and superiority degree, and founds a method of DEA of relative efficiency index to rank all decision-making-units having been identified efficient. On the basis of them, the definition and arithmetic are given to analyze them. Then seven input and output techno-innovation indexes which belong to six automobile listed companie...

A real-number to molecular structure mapping is a topological index. It graph invariant method for describing physico-chemical properties of structures specific substances. In that article, We examined pentacene’s chemical composition. The research on the subsequent indices reflected in our paper, we conducted an analysis several including general randic connectivity index, first zagreb sum-con...

Dimensional analysis, for multi-criteria decision making, is a mathematical method that includes diverse heterogeneous criteria into a single dimensionless index. Dimensional Analysis, in its current definition, presents the drawback to manipulate fuzzy information commonly presented in a multi-criteria decision making problem. To overcome such limitation, we propose two dimensional analysis ba...

This paper introduces the multiarmed bandit problem with deadlines, which concerns the dynamic selection of a live project to engage out of a portfolio of Markovian bandit projects expiring after given deadlines, to maximize the expected total discounted or undiscounted reward earned. Although the problem is computationally intractable, a natural heuristic policy is obtained by attaching to eac...

Cornelian cherry (Cornus mas L.), considered as the ancestor of cultivated trees in Arasbaran region, is a medicinally and economically plant species. However, little is known about genetic diversity, breeding programs, and population structure of this species in mentioned region. Keeping this in view, the main objectives of present study were to analysis the genetic diversity, phyloge...

We present three new methods that investigate the equalities implied by a system of linear arithmetic constraints. Implied equalities can be used to simplify linear arithmetic constraints and are valuable in the context of Nelson-Oppen style combinations of theories. The first method efficiently checks whether a system of linear arithmetic constraints implies an equality at all. In case the sys...

Array-Range Analysis computes at compile time the range of possible index values for each array-index expression in a program. This information can be used to detect potential out-of-bounds array accesses and to identify non-aliasing array accesses. In a language like C, where arrays can be accessed indirectly via pointers, and where pointer arithmetic is allowed, range analysis must be extende...