In the theory of multiplicities for eigenvalues symmetric matrices whose graph is a tree, it proved very useful to understand change in status (Parter, neutral, or downer) one vertex upon removal another given (both case two vertices are adjacent non-adjacent). As subject has evolved toward study more general matrices, over fields, with graphs, appropriate resolve same type question settings. “...

Faunistic and statistical analyses of species diversity of the mimercofauna and araneofauna associated with variously managed agricultural fields and adjacent forest fragments and their interactions with Carabidae and Staphylinidae (Coleoptera) are needed to identify the key species affecting the dynamics within the arthropod population affecting the agroecosystem. This knowledge is needed to d...

It is widely believed that the addition of salts to water engenders structural changes in the hydrogen-bond network well beyond the adjacent shell of solvating molecules. Classification of many ions as "structure makers" and "structure breakers" has been based in part on corresponding changes in the vibrational spectra (Raman and IR). Here we show that changes in O-H vibrational spectra induced...

Abstract. In regions where there are multiple sources of methane (CH4) in close proximity, it can be difficult to apportion the CH4 measured atmosphere appropriate sources. Surat Basin, Queensland, Australia, coal seam gas (CSG) developments surrounded by cattle feedlots, grazing cattle, piggeries, mines, urban centres and natural CH4. The characterization carbon (?13C) hydrogen (?D) stable iso...