a manufacturing process cannot be released to production until it has been proven to be stable. also, we cannot begin to talk about process capability until we have demonstrated stability in our process. this means that the process variation is the result of random causes only and all assignable or special causes have been removed. in complicated manufacturing processes, such as drilling proces...

As the conventional network security evaluation methods have prejudiced aspects when the weights of an evaluation indexes are recognized, it is not easy to make precise and objective evaluation. However, the Rough set theory has the benefits of not needing apriority information when dealing with tentative problems. Therefore, the appliance of the Rough set theory in the network security evaluat...

This article uses rough set theory for stability evaluation system of strategic alliance at first. Uses data analysis method for reduction, eliminates redundant indexes. Selected 6 enterprises as a decision-making unit, then select 4 inputs and 2 outputs indexes data, using DEA model to calculate, analysis reasons for poor benefit of decision-making unit, find out improvement direction and quan...

The study of McLain groups M(S, F) offers an attractive interplay between group theory and combinatorial set theory. This arises from the choice of a linearly ordered set S in the definition. Recall (from, for example, [4], (6.2)) that this involves considering the vector space V over the field F whose basis elements v are indexed by elements of x S . M(S, F) is then the group of linear transfo...

In this article we solve four special cases of the truncated Hamburger moment problem (THMP) degree $2k$ with one or two missing moments in sequence. As corollaries obtain, by using appropriate substitutions, solutions to bivariate problems for curves. Namely, curves $y=x^3$ (first solved Fialkow), $y^2=x^3$, $y=x^4$ where a certain $2k+1$ is known and $y^3=x^4$ given. The main technique comple...

A new method was introduced for frothing characterization of flotation frothers. Method uses water recovery to develop a new frothability index named water recovery index (WRI). New index was determined for some commercial frothers and results were compared with dynamic frothability index (DFI). Results showed that water recovery index values follow the order of A-65 13016 s/mol > DF-250 6292.4...

Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, a vertex labeling $f : V(G)rightarrow mathbb{Z}_2$ induces an edge labeling $ f^{+} : E(G)rightarrow mathbb{Z}_2$ defined by $f^{+}(xy) = f(x) + f(y)$, for each edge $ xyin E(G)$.  For each $i in mathbb{Z}_2$, let $ v_{f}(i)=|{u in V(G) : f(u) = i}|$ and $e_{f^+}(i)=|{xyin E(G) : f^{+}(xy) = i}|$. A vertex labeling $f$ of a graph $G...