APPENDIX-ANALYTICAL RESULTS

Accelerated Shocks: Analytical Results

In previous work we reported investigations on the acceleration of shock waves by energy deposition and a heavy-ion scenario for an experimental investigation of this effect. This has recently been complemented by additional analytic results. A heavy ion beam gives the unique opportunity to create a scenario in which a running shock wave experiences almost homogeneous energy deposition in both ...

Completeness Results for Lifted Variable Elimination: Appendix

In this document, we present proofs for Theorem 2 and 3 (given in the paper), and provide more explanation for the empirical evaluation. Further, we present a procedure for tramsforming weighted model counting (WMC) models to parfactor models. 1 PROOF OF THEOREM 2 Let us first recall the theorem. Theorem 2 C-FOVE is a complete domain-lifted algorithm for the class of models in which each atom h...

Appendix C Risk Assessment Methodology and Results

Analytical Results on the Quadtree Storage-Requirements

An analysis of the expected size occupied by a Quadtree is presented. The analysis is based on the general assumption that the storage requirements of internal and external nodes differ. Besides, formulae for the expected number of internal and external nodes at a specific level of the tree are given. Next, the space efficiency of the most popular Quadtree implementations is examined. Finally, ...

Analytical Results for Random Band Matrices with

Using the supersymmetry method we analytically calculate the local density of states, the localiztion length, the generalized inverse participation ratios , and the distribution function of eigenvector components for the superpo-sition of a random band matrix with a strongly uctuating diagonal matrix. In this way we extend previously known results for ordinary band matrices to the class of rand...