An intention of MapReduce Sets for Cartesian product expressions analysis has to suggest criteria how Cartesian product expressions in Cartesian product data can be defined in a meaningful way and how they should be compared. Similitude based MapReduce Sets for Cartesian product Expression Analysis and MapReduce Sets for Assignment is expected to adhere to fundamental principles of the scientif...

For two graphs J and H, the generalized Turán number, denoted by ex(n, J, H), is maximum number of copies in an H-free graph order n. A linear forest F disjoint union paths. In this paper, we determine $$ex(n,S_r,F)$$ when n large enough, which generalizes results on $$ex(n, S_r, P_k)$$ (k+1) P_2)$$ . Finally, prose a problem related to F-free under shifting operations.

Cartesian differential categories are equipped with a combinator which axiomatizes the directional derivative. Important models of include classical calculus smooth functions and categorical $\lambda$-calculus. However, cannot account for other interesting notions differentiation more discrete nature such as finite differences. On hand, change action have been shown to capture these examples we...