The main aim of this article is to study the horizontal lifts projectable linear connection in semi-tangent bundle tM. properties complete and for tM are also investigated. Finally, we examine infinitesimal transformation with respect lift a connection.

We study the high-energy limit of projectable Ho\ifmmode \check{r}\else \v{r}\fi{}ava gravity using on-shell graviton scattering amplitudes. compute tree-level amplitudes symbolic computer algebra and analyze their properties in case collisions with zero total momentum. The grow collision energy way consistent unitarity. discuss angular dependence derive expression for differential cross sectio...

Abstract A minimal essentialism (“intrinsic biological essentialism”) about natural kinds is required to explain the projectability of human science terms. Human classifications that yield robust and ampliative projectable inferences refer kinds. I articulate this argument with reference an intrinsic essentialist account homeostatic property cluster This implies sciences (e.g., medicine, psychi...

Considering prolongation of a Lie algebroid equipped with a spray, defining some classical tensors, we show that a Lie symmetry of a spray is a curvature collineation for these tensors.

In many natural language applications, there is a need to enrich syntactical parse trees. We present a statistical tree annotator augmenting nodes with additional information. The annotator is generic and can be applied to a variety of applications. We report 3 such applications in this paper: predicting function tags; predicting null elements; and predicting whether a tree constituent is proje...