Abstract We study model theory of fields with actions a fixed finite group scheme. prove the existence and simplicity companion such actions, which generalizes our previous results about truncated iterative Hasse–Schmidt derivations [13] Galois [14]. As an application methods, we obtain new complete on imperfection degree.

Recent progress in the diagnosis of flare fast particles is critically discussed with the main emphasis on high resolution Hard X-Ray (HXR) data from RHESSI and coordinated data from other instruments. Spectacular new photon data findings are highlighted as are advances in theoretical aspects of their use as fast particle diagnostics, and some important comparisons made with interplanetary part...

This article is the second in a two-part series. It presents an integrated overview of the construct of play and its development in infants, toddlers, and young children. The author describes developmental levels of play ranging from early sensorimotor– exploratory to symbolic play involving complex and planned multischeme sequences. In addition, functional components of symbolic play—agent, in...

We review complexity results for minimizing polynomials over the standard simplex and unit hypercube. In addition, we derive new results on the computational complexity of approximating the minimum of some classes of functions (including Lipschitz continuous functions) on the standard simplex. The main tools used in the analysis are Bernstein approximation and Lagrange interpolation on the simp...

Juels, Catalano, and Jakobsson (JCJ) proposed at WPES 2005 the first voting scheme that considers real-world threats and that is more realistic for Internet elections. Their scheme, though, has a quadratic work factor and thereby is not efficient for large scale elections. Based on the work of JCJ, Smith proposed an efficient scheme that has a linear work factor. In this paper we first show tha...