In this paper, we retrieve slow oscillation of a real sequence u = (u n) out of (C, 1) summability of the generator sequence (V (0) n (Δu)) of (u n) under some additional condition. Consequently, we recover convergence or subsequential convergence of (u n) out of (C, 1) summability of (u n) under certain additional conditions that control oscillatory behavior of the sequence (u n).

We introduce the notion of a " non-commutative crepant " resolution of a singularity and show that it exists in certain cases. We also give some evidence for an extension of a conjecture by Bondal and Orlov, stating that different crepant resolutions of a Gorenstein singularity have the same derived category.

Groups can generate so many ideas during a decision making process involving brainstorming that they become an impediment to group processes. Convergence activities reduce the number of ideas generated by the group and clarify those ideas, allowing the group to move forward with a set of ideas worthy of further attention. Research about convergence and its affect on collaboration is in the earl...

The stress singularity near the Mode III interface end of isotropic and orthotropic bi-material was studied. Based on arbitrary angle boundary conditions, by solving a class of harmonic equations we discussed the root of the characteristic equation with the help of complex function method of material fracture. The expression and variation of the singularity index λ of the tip of interfacial cra...

Over the past few decades, the field of food security has witnessed numerous problems and incidents that have garnered public attention. Given this serious situation, the food traceability system (FTS) has become part of the expanding food safety continuum to reduce the risk of food safety problems. This article reviews a great deal of the related literature and results from previous studies of...