We examine the relationships between the differential invariants of objects and of their images under a surjective maps. We analyze both the case when the underlying transformation group is projectable and hence induces an action on the image, and the case when only a proper subgroup of the entire group acts projectably. In the former case, we establish a constructible isomorphism between the a...

We examine the relationships between the differential invariants of objects and of their images under a surjective map. We analyze both the case when the underlying transformation group is projectable and hence induces an action on the image, and the case when only a proper subgroup of the entire group acts projectably. In the former case, we establish a constructible isomorphism between the al...

We perform an analysis of the ultraviolet divergences quantum nonprojectable Horava gravity. work field theory directly in Hamiltonian formalism provided by Batalin-Fradkin-Vilkovisky quantization. In this way second-class constraints can be incorporated to A known local gauge-fixing condition leads a canonical Lagrangian. Although fields acquire regular propagators, irregular propagators persi...

We present an analysis on the Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations of Ho\ifmmode \check{r}\else \v{r}\fi{}ava theory under Batalin-Fradkin-Vilkovisky quantization, both in nonprojectable and projectable cases. obtain that BRST are intimately related to a particular spatial diffeomorphism along one ghost vector fields. show explicitly invariance quantum action nilpotence tra...

We study the existence of projectable G-invariant Einstein metrics on the total space of G-equivariant fibrations M = G/L → G/K, for a compact connected semisimple Lie group G. We obtain necessary conditions for the existence of such Einstein metrics in terms of appropriate Casimir operators, which is a generalization of the result by Wang and Ziller about Einstein normal metrics. We describe b...

Relying on known results of the Noether theory of symmetries extended to constrained systems, it is shown that there exists an obstruction that prevents certain tangent-space diffeomorphisms to be projectable to phasespace, for generally covariant theories. This main result throws new light on the old fact that the algebra of gauge generators in the phase space of General Relativity, or other g...

This chapter investigates the use of imperative-formatted directives in Swedish medical consultations. The specific focus of the chapter is the division of labor between straight, non-modulated imperative turns and imperative turns which are modulated with a discourse particle or some other verbal mitigating device. The results show that non-modulated imperative turns are embedded in diagnostic...

Major League Baseball (MLB) teams have 20 rounds to select players with projectable ability compete at the MLB level. In this exploratory study, were evaluated for differences in Wins Above Replacement (WAR) related draft round, first round pick, educational designation, and by team. It was hypothesized WAR exist pick number, designation From 2005–2015, 1,623 examined determine population owed ...