With χ : Ω → {−1,+1} random, A ∈ A, χ(A) has zero mean and standard deviation at most √ n. If |χ(A)| > 6√n then χ(A) is at least six standard deviations off the mean. The probability of this occurring is very small but a fixed positive constant and the number of sets A is going to infinity. In fact, a random χ almost always will not work. The specific constant 6 (actually 5.32) was the result o...

In general relativity, only relative acceleration has an observer-independend meaning: curvature and non-gravitational forces determine the rate at which world lines of test bodies diverge or converge. We derive the equations governing both in the conventional geometric formalism as well as using the background field method. This allows us to generalize the results to test bodies with charge an...

The purpose of this study was to identify the factors that cause students' moral deviations and know role schools parents in overcoming deviations. research uses a naturalistic approach with case type. informants were parents, teachers, chief school, students SMPN 2 Kediri. Data collected using observation, interview, documentation techniques. analysis carried out interactive model proposed by ...

This paper empirically investigates to what extent individuals vote with their pocketbooks in income redistribution. Survey data on preferences for redistribution show significant deviations from pocketbook voting in the poorest and the richest income groups. Differences in income status, education status, and other factors related to perceived social mobility cannot fully explain cross-country...

The paper focuses on general properties of parametric minimum contrast estimators. The quality of estimation is measured in terms of the rate function related to the contrast, thus allowing to derive exponential risk bounds invariant with respect to the detailed probabilistic structure of the model. This approach works well for small or moderate samples and covers the case of a misspecified par...

Game-tree search algorithms, such as the two-player Minimax algorithm and its multi-player counterpart, Max-n, are a fundamental component in the development of computer programs for playing extensive-form games. The success of these algorithms is limited by the underlying assumptions on which they are built. For example, it is traditionally assumed that deeper search always produces better dec...

We have bounded the expected running times of several randomized algorithms in first two chapters. While the expectation of a random variable (such as a running time) may be small, it may frequently assume values that are far higher. In analyzing the performance of a randomized algorithm, we often like to show that the behavior of the algorithm is good almost all the time. For example, it is mo...

In process mining, one of the main challenges is to discover a process model, while balancing several quality criteria. This often requires repeatedly setting parameters, discovering a map and evaluating it, which we refer to as process exploration. Commercial process mining tools like Disco, Perceptive and Celonis are easy to use and have many features, such as log animation, immediate paramet...

Metrical music is commonly perceived assegmented into phrases at durations above the levelof the tactus, up to temporal intervals ofapproximately 3 secs. These segments are normallycontiguous and non-overlapping. Examples ofsimilar temporal segmentation are found in humanutterances and in human mother-infant interactions.Standard reference beat patterns such as the C...