For differential-difference equations, we provide a method that gives numerical solutions accurate to hundreds or even thousands of digits. We illustrate with numerical solutions to three classical problems. With a few exceptions, previous claims of extended accuracy for these problems are found to be wrong.

This entry defines the Bell numbers [1] as the cardinality of set partitions for a carrier set of given size, and derives Spivey’s generalized recurrence relation for Bell numbers [2] following his elegant and intuitive combinatorial proof. As the set construction for the combinatorial proof requires construction of three intermediate structures, the main difficulty of the formalization is hand...

the aim of this research is the investigation the relationship between the capital structure and institutional ownership mid to the other effective factors on this relation in tehran stock exchange. the others factors include the percentage of stock dividend, profitability, business risk, assets structure, liquidity, growth, and company size. the statistical population of the research is 117 li...

To reduce the user's cognitive load and make sense of complex interlinked service data for realizing advanced service application, an approach to Service Semantic Link Network (S-SLN) navigation was proposed. Semantic based graph mining technology was employed as an effective solution for automatic service navigation. As one of the most important navigation tools, related service nodes recommen...

the number of spatial relations that we can represent as a function of the representative points per object), the notion of image equivalence with respect to a modelling space, as well as information equivalence of relation based representations. 13 coordinates of the cells that store the representative points for the corresponding intersections): Thus the representation formalism is equivalent...