Most traditional approaches to probabilistic planning in relationally specified MDPs rely on grounding the problem w.r.t. specific domain instantiations, thereby incurring a combinatorial blowup in the representation. An alternative approach is to lift a relational MDP to a firstorder MDP (FOMDP) specification and develop solution approaches that avoid grounding. Unfortunately, state-of-the-art...

Many problems of computational electromagnetics [1,2], stationary heat transfer [3,4] and elasticity theory [5] can be naturally reduced to integral equations of the first kind (IEFK) with a weak singularity. So we shall name the equations with a logarithmic peculiarity in one-dimensional case and equation with a peculiarity of an aspect 1 0 rMM in two-dimensional case, where rMM 0 is distance ...

Cementite precipitation from austenite in steels can be suppressed by alloying with silicon. There are, however, no validated thermodynamic data to enable phase equilibria to be estimated when silicon is present in cementite. The formation energies of Fe3C, (Fe11Si 4c Fe)C4 and (Fe11Si 8d Fe)C4 have therefore been estimated using firstprinciples calculations based on the total-energy all-electr...

Sinc-collocation scheme is one of the new techniques used in solving numerical problems involving integral equations. This method has been shown to be a powerful numerical tool for finding fast and accurate solutions. So, in this paper, some properties of the Sinc-collocation method required for our subsequent development are given and are utilized to reduce integral equation of the first kind ...

Reference data lies at the heart of the world’s financial systems, be it customer and counterparty data, securities master data or transaction data. Few organizations know the real cost of poor data and inefficient data management. Without a high degree of reference data standardization, the securities industry could not process the ever-growing number of trades nor meet the demanding client se...

In an attempt to solve Maxwell’s first order system of equations, starting from a given initial state, it is found that a consistent solution depending on the temporal evolution of the sources cannot be calculated. The well known retarded solutions of the second order equations, which are based on the introduction of potentials, turn out to be in disagreement with a direct solution of the first...

We design algorithms of ”optimal” data complexity for several natural problems about first-order queries on structures of bounded degree. For that purpose, we first introduce a framework to deal with logical or combinatorial problems R ⊂ I × O whose instances x ∈ I may admit of several solutions R(x) = {y ∈ O : (x, y) ∈ R}. One associates to such a problem several specific tasks : compute a ran...

The reliability of dynamic systems modeled by white noise excited, stochastic, ordinary di erential equations can be computed from deterministic backward Kolmogorov equations. This paper discusses and compares some numerical solution methods for boundary value problems involving backward Kolmogorov equations. The numerical examples concern single degree of freedom oscillators subjected to white...

In a search graph the node's value is dependent on the path leading to it. Diierent paths may lead to diierent values. Hence, it is diicult to determine the value of any node unambiguously. The problem is known as the graph-history-interaction (GHI) problem. This report provides a solution for best-rst search. First, we give a precise formulation of the problem. Then we review all important ear...

http://dx.doi.org/10.1016/j.chempr.2017.01.012 The first record of hand pollination was in a relief from an Assyrian dynasty, 800 BC, now preserved in the Boston Museum of Fine Arts. In the relief, shown in Figure 1A, two winged deities gingerly fertilize a date palm tree by using a male flower. Nearly 3,000 years later, pollination has been automated. In this issue of Chem, Chechetka et al. de...