We present two splitting formulas for calculating the Tutte polynomial of a matroid. The rst one is for a generalized parallel connection across a 3-point line of two matroids and the second one is applicable to a 3-sum of two matroids. An important tool used is the bipointed Tutte polynomial of a matroid, an extension of the pointed Tutte polynomial introduced by Thomas Brylawski in Bry71].

Our aim is to provide a short analysis of the generalized variational inequality (GVI) problem from both theoretical and algorithmic point of view. First, we show connections among some well known existence theorems for GVI and for inclusions. Then, we recall the proximal point approach and a splitting algorithm for solving GVI. Finally, we propose a class of differentiable gap functions for GV...

We present a spectrum of default logics, using powerdomains to encode default constraints. The resulting non-monotonic entailment relations all satisfy the law of reasoning by cases. This result is a consequence of two general theorems valid for any Scott domain: the Di-chotomy Theorem and the Extension Splitting Theorem. We brieey indicate that for propositional logic, the complexity of entail...

For an abelian extension L/K of number fields, the Equivariant Tamagawa Number Conjecture at s = 0, which is equivalent to the Lifted Root Number Conjecture, implies Rubin’s Conjecture by work of Burns. We show that, for relative biquadratic extensions L/K satisfying a certain condition on the splitting of places, Rubin’s Conjecture in turn implies the ETNC/LRNC. We conclude with some examples....

the main objective of present paper was to study the validity of agricultural extension indices for ranking iranian provinces in terms of extension and education activities. the study was carried out in two phases. in phase one through review of literature, 137 extension-education indices were identified. the indices were classified in seven fields as following: 1) indices of extension workers,...

Proactive project scheduling aims to generate robust baseline schedules that are protected against the potential schedule disruptions during execution. In this paper, we propose a new problem named proactive resource-constrained with activity split-ting and resource transfer times, try investigate trade-off between benefits of splitting drawbacks resulting more times. The proposed is formulated...

Fresh pistachio fruit cv. Kalleghochi was harvested from the exterior and interior parts of the tree canopy in four geographical directions. The fruit position in exterior and interior parts of the tree canopy has a significant influence on the number of nuts per ounce, pistachio splitting, hull weight, shell weight, kernel weight, colour indices and total anthocyanin content. Results indicated...

Household food security remains a challenge in South Africa. The national government instituted the Integrated Food Security Strategy (IFSS) programme which identifies household agricultural production as an important element of improving household-level food security. Agricultural extension is well positioned to help achieve this aim, but its current contribution is unknown. This study identif...

This study examined the accuracy between extension professionals and farmers regarding their perceptions of privatization and commercialization of agricultural extension services. The study was carried out in Delta State, Nigeria and it had a sample size of 224 respondents comprising of 134 extension professionals of the Delta State Agricultural Programme (DTADP) and 90 farmers that were random...

We consider a CPT–noninvariant scalar model and a modified version of quantum electrodynamics with an additional photonic Chern–Simons-like term in the action. In both cases, the Lorentz violation traces back to a spacelike background vector. The effects of the modified field equations and dispersion relations on the kinematics and dynamics of decay processes are discussed, first for the simple...