A number of different models have been proposed as descriptions of the species-abundance distribution (SAD). Most evaluations of these models use only one or two models, focus on only a single ecosystem or taxonomic group, or fail to use appropriate statistical methods. We use likelihood and AIC to compare the fit of four of the most widely used models to data on over 16,000 communities from a ...

The majority of process mining techniques focuses on control flow. Decision Point Analysis (DPA) exploits additional data attachments within log files to determine attributes decisive for branching of process paths within discovered process models. DPA considers only single attribute values. However, in many applications, the process environment provides additional data in form of consecutive m...

The majority of process mining techniques focuses on control flow. Decision Point Analysis (DPA) exploits additional data attachments within log files to determine attributes decisive for branching of process paths within discovered process models. DPA considers only single attribute values. However, in many applications, the process environment provides additional data in form of consecutive m...

We propose a simple stochastic model for time series which is analytically tractable, easy to simulate and which captures some relevant stylized facts of financial indexes, including scaling properties. We show that the model fits the Dow Jones Industrial Average time series in the period 1935-2009 with a remarkable accuracy. Despite its simplicity, the model has several interesting features. T...

We prove that for any real θ there are infinitely many values of s = σ + it with σ → 1+ and t→ +∞ such that Re {exp(iθ) logL(s, χ)} ≥ log log log log t log log log log t +O(1). The proof relies on an effective version of Kronecker’s approximation theorem. 1. Extremal values Extremal values of the Riemann zeta-function in the half-plane of absolute convergence were first studied by H. Bohr and L...

A series of 1"-mono-, di-, and trifluorinated analogs of propranolol and related steric congeners was prepared, and their metabolism was examined with recombinant-expressed CYP1A2. The structural changes in this series of compounds, principally added fluorines and methyl groups in the 1"-position of the N-isopropyl group, provided compounds that varied in pK(a) by more than 5 log units, in log ...

We present a deterministic algorithm running in space O ? log 2 n= log logn solving the connectivity problem on strongly unambiguous graphs. In addition, we present an O(logn) time-bounded algorithm for this problem running on a parallel pointer machine.