We seek an analogy of the mathematical form of the alternative form of Einstein's field equations for Lovelock's field equations. We find that the price for this analogy is to accept the existence of the trace anomaly of the energy-momentum tensor even in classical treatments. As an example, we take this analogy to any generic second order Lagrangian and exactly derive the trace anomaly relatio...

Island arc lavas, erupted above subduction zones, commonly contain a geochemical component derived from partial melting of subducted sediment. It is debated whether this sediment melt signature, with enriched trace element concentrations and isotope ratios, forms at relatively low or high temperatures. Here we compile and analyse the geochemistry of metamorphosed sedimentary rocks that have bee...

Markov Modulated Posson Process (MMPP) is a good model of Internet traffic. We take an IP trace and fit an MMPP to it using an algorithm recently published in a Journal. It is observed that trace generated using the MMPP model of the original trace has a distribution similar to the original trace. This is seen in the form of a linear quantile-quantile plot. Average queuing delay with data trace...

This paper deals with decision problems related to the star problem in trace monoids which means to determine whether the iteration of a recognizable trace language is recognizable. Due to a theorem by Richomme (in: I. Privara et al. (Eds.), MFCS’94 Proc., Lecture Notes in Computer Science, vol. 841, Springer, Berlin, 1994, pp. 577–586), we know that the star problem is decidable in trace monoi...

We generalize the notion of trace to the Kontsevich quantization algebra and show that for all Poisson manifolds representable by quotients of a symplectic manifold by a Hamiltonian action of a nilpotent Lie group, the trace is given by integration with respect to a unimodular volume form.

We prove a trace formula and a global form of Denef and Loeser’s motivic monodromy conjecture for tamely ramified algebraic tori over a discretely valued field. If the torus has purely additive reduction, the trace formula gives a cohomological interpretation for the number of components of the Néron model.

It is proved that the fixed point submonoid and the periodic point submonoid of a trace monoid endomorphism are always finitely generated. Considering the Foata normal form metric on trace monoids and uniformly continuous endomorphisms, a finiteness theorem is proved for the infinite fixed points of the continuous extension to real traces.

The research undertaken aims to find regularities in Lyee program execution traces and to relate the trace chunks to well defined types of Lyee design situations. Our findings take the form of Lyee execution patterns, each pattern coupling a situation with a trace chunk. The paper presents and illustrate them with an example.

This is a discussion of the essential features of product development traceability maps in relation to requirements, architecture, functional models, components, and tests as a set of order type hierarchies and their cross-links. This paper lays out the structure of these ideal traceability relationships that define the essence of the product under development. The importance of the trace relat...