The bipartite crossing number problem is studied, and a connection between this problem and the linear arrangement problem is established. It is shown that when the arboricity is close to the minimum degree and the graph is not too sparse, then the optimal number of crossings has the same order of magnitude as the optimal arrangement value times the arboricity. The application of the results to...

This design is based on Etap simulation software to complete the following steps: analysis of original data, determination power grid voltage level and preliminary selection connection scheme, technical economic operation optimal characteristics material statistical calculation. Through this design, I have mastered general principles common methods network planning design. am skilled in using c...

These memoirs about Walter Lachenmeier (1945–2022) concentrate on his activities as head of the engineering sciences group German Research Foundation (Deutsche Forschungsgemeinschaft, DFG), for which he worked from 1977 to 2007, and following scientific in electric vehicle research development, including a review patents this area, encompass topics enhancement performance lifetime lithium-ion b...

ll'Iuch has been written concerning cortical localizationits probable presence or absence, its degree, the basis of its representation, and those factors which underlie or determine it. In the following pages the author is venturing to consider this very interesting problem by stressing certain factssome of them well known, others little thought of in this connection, still others new in certai...

Abstract. For a toric variety XΣ determined by a polyhedral fan Σ ⊆ N , Payne shows that the equivariant Chow cohomology is the Sym(N)–algebra C(Σ) of integral piecewise polynomial functions on Σ. We use the CartanEilenberg spectral sequence to analyze the associated reflexive sheaf C(Σ) on PQ(N), showing that the Chern classes depend on subtle geometry of Σ and giving criteria for the splittin...