We study the causal impact of network centrality on educational outcomes using field experiments in primary schools in Bangladesh. After obtaining information on friendship networks, we randomly allocate students into groups and give them individual and group assignments. We find that groups that perform best are those whose members have high Katz-Bonacich and key-player centralities. Leaders a...

Smoothed Particle Hydrodynamics is a multidimensional Lagrangian method of numerical hydrodynamics that has been used to tackle a wide variety of problems in astrophysics. Here we develop the basic equations of the SPH scheme, and we discuss some of its numerical properties and limitations. As an illustration of typical astrophysical applications, we discuss recent calculations of stellar inter...

Proof of Corollary 3.2. The total depth of the given network is LK. Thus, the parameter size is O ( LKD ) . Also, according to Corollary 5 of [6], the maximal number of linear region of functions that can be computed by the given network in an n-dimensional (D > n) input space is lower bounded by O ( (Dn ) n(KL−1)Dn ) , which can be simplified by a looser bound O ( (Dn ) nKL ) and resulting in ...

Paul S. Katz is a neurophysiologist known for his studies of neuromodulatory synapses in invertebrate neural circuits. Katz’s interest in neurobiology began as an undergraduate at Northwestern University, in Evanston, Illinois. He did his graduate work at Cornell University in Ithaca, New York, where he identified and studied serotonergic neurons in the stomatogastric ganglion of crabs. He was ...

The Katz-Sarnak philosophy predicts that statistics of zeros of families of L-functions are strikingly universal. However, subtle arithmetical differences between families of the same symmetry type can be detected by calculating lower-order terms of the statistics of interest. In this paper we calculate lower-order terms of the 1-level density of some families of elliptic curves. We show that t...

PURPOSE Katz et al have published a standardized scoring system of hand diagrams for carpal tunnel syndrome. The purpose of this study was to quantitatively evaluate an alternative scoring of the hand diagram for detection of carpal tunnel syndrome. METHODS In a prospective study of 1,107 workers, 221 workers with hand symptoms completed hand diagrams and electrodiagnostic testing for carpal ...

This article analyzes the determinants of market income distribution and governmental redistribution. The dependent variables are LIS data on market income inequality (measured by the Gini index) for households with a head aged 25 to 59 and the percent reduction in the Gini index by taxes and transfers. We test the generalizability of the Goldin/Katz hypothesis that inequality has increased in ...