Valerie M. Vaughn, MD, MSc; Monica Yost, MPH; Chelsea Abshire, Scott A. Flanders, MD; David Paje, Paul Grant, Kaatz, DO, Tae Kim, MHSA; Geoffrey D. Barnes, MSc

We present a complete description of the analytic properties of the Barnes double zeta and Gamma functions.

This chapter argues that quantum indeterminacy can be construed as a merely derivative phenomenon. The possibility of undermines both recent argument against due to David Glick, and an the Elizabeth Barnes.

A PHASE II TWO STAGE CLINICAL TRIAL DESIGN TO HANDLE LATENT HETEROGENEITY FOR A BINARY RESPONSE Christopher N. Barnes

We would like to thank Michelle Barnes, Craig Hiemstra and Blake LeBaron for their helpful comments. The usual disclaimer applies.

This paper presents a data{parallel formulation for N?body simulations using the Barnes-Hut method. The tree-structured problem is rst linearized by using space{{lling curves. This process allows us to use standard data distributions and parallel array operations available in data-parallel languages. A new eecient HPF implementation of the Barnes-Hut method is presented in this paper, character...

where G is the gravitational constant, rnk = xk − xn, and rnk = |rkn|. Since this expression is evaluated for each body separately, and the expression contains a sum over every other body, a direct computation of the forces would require O (N). For large problems, such as those containing more than a few thousand bodies, this can be prohibitive. Therefore, a faster algorithm is needed. The Barn...

The paper investigates the acceleration of t-SNE—an embedding technique that is commonly used for the visualization of high-dimensional data in scatter plots—using two treebased algorithms. In particular, the paper develops variants of the Barnes-Hut algorithm and of the dual-tree algorithm that approximate the gradient used for learning t-SNE embeddings in O(N logN). Our experiments show that ...