In this paper, we study depth and Stanley of the edge ideals quotient rings ideals, associated with classes graphs obtained by strong product two graphs. We consider cases when either both are arbitrary paths or one is an path other cycle. give exact formula for values some subclasses. also sharp upper bounds in general cases.

We prove that the diametral diameter two properties are inherited by F-ideals (e.g., M-ideals). On other hand, these lifted from an M-ideal to superspace under strong geometric assumptions. also show all of stable formation corresponding Köthe–Bochner spaces $$L_p$$ -Bochner spaces). Finally, we investigate when projective tensor product Banach has some property.

The 0908 typhoon “Morakot” heavily attacked Taiwan. It brought strong rainfall which not only caused water level rise in several reservoirs and rivers, but also triggered a large number of landslides, debris flow, collapse and other geological disasters. All of these changes resulted in flooding, and for the worst, several villages were buried. In this paper, using NDVI(Normal Differential Vege...

We describe the (co)homology of a certain family of normal subgroups of right-angled Artin groups that contain the commutator subgroup, as modules over the quotient group. We do so in terms of (skew) commutative algebra of squarefree monomial ideals.

The objective of this paper is to introduce the fundamental algebro-geometric constructions over the extended tropical semi-ring. The study of tropical varieties, co-varieties and ideals over this extension eventually yields the theorem of the weak tropical Nullstellensatz and gives an algebraic interpretation of the tropical Nullstellensatz.

Support vector regression (SVR) is a learning method based on the support vector machine (SVM) that can be used for curve fitting and function estimation. In this paper, the ability of the nu-SVR to predict the catalytic activity of the Fischer-Tropsch (FT) reaction is evaluated and the result is compared with two other prediction techniques including: multilayer perceptron (MLP) and subtractiv...

In 1994, the bacterial parasite Mycoplasma gallisepticum expanded its host range and swept through populations of a novel host--eastern US populations of the house finch (Carpodacus mexicanus). This epizootic caused a dramatic decline in finch population numbers, has been shown to have caused strong selection on house finch morphology, and presumably caused evolutionary change at the molecular ...

Let X be a topological space and R be a subring of RX. By determining some special topologies on X associated with the subring R, characterizations of maximal fixxed and maximal growing ideals in R of the form Mx(R) are given. Moreover, the classes of zR-ideals and z0R-ideals are introduced in R which are topological generalizations of z-ideals and z0-ideals of C(X), respectively. Various c...

This paper traces how in Britain and Germany, for-profit non-profit businesses coevolved with political-economic institutions. Starting the late eighteenth century, embraced logic of liberal capitalism, although path was not smooth. Over same period, German states balanced both social-welfare ideals. Social-welfare ideals did gain support until start twentieth century. The market embodied by mo...