Motivated by previous computations of Y. Cao, M. Kool and the author, we propose square roots sign rules for vertex edge terms that compute Donaldson-Thomas invariants a toric Calabi-Yau 4-fold, prove they are canonical, exploiting combinatorics plane solid partitions.

I (and a number of my colleagues both here and abroad) believe that many of the findings reported by Belinsky et al. (1) were already in the public domain and that the discussion by these authors of previously published work did not make this clear. In addition, it is disappointing that Belinsky et al. have chosen to continue using the acronym MOAT (multispecific organic anion transporter) for ...

The main folder (name: non-linear inductor) includes four subfolders (Buck, Buck_Average, Behavior and Param_Mod), each folder contains one simulation project for the corresponding simulation circuit. The inductor data refers to a 77254A7 iron powder core (Kool Mu) characteristics, drawn from MAGNETICS data sheets. Technical data: http://www.mag-inc.com/pdf/MAGNETICS_Powder_Core_Technical_Data....

b. The industry for individual-serving juice boxes is dominated by a few very large firms (for example, Minute Maid, Welch’s, and Kool Aid), and there are significant barriers to entry, in part because of the large costs (for example, advertising) involved in gaining any market share of the national market. Products are, however, differentiated—if perhaps only in the minds of consumers. Because...

We interprete results of Markman on monodromy operators as a universality statement for descendent integrals over moduli spaces stable sheaves K3 surfaces. This yields effective methods to reduce these the punctual Hilbert scheme surface. As an application we establish higher rank Segre-Verlinde correspondence surfaces conjectured by Göttsche and Kool.

Abstract We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on surface with holomorphic 2-form. The specializes to sheaves. Our interpolates between K -theoretic Donaldson invariants studied by Göttsche and Nakajima-Yoshioka Vafa-Witten introduced Thomas also Kool. verify our conjectures in many examples (for example, K3 surfaces).