Mathers Systematic Theology - Chapter 2

INSPIRATION OF THE SCRIPTURES 2.1 The Inspiration of the Scriptures involves the accurate recording of the revelation. 2.1.1 Central Passages establish the inspiration of the Scriptures. 2.1.1.1 2 Timothy 3:16-1

Direct calculation of the Entanglement Spectrum in Quantum Monte Carlo with application to \textit{ab initio} Hamiltonians

Several algorithms have been proposed to calculate the spatial entanglement spectrum from high order Renyi entropies. In this work we present an alternative approach for computing the entanglement spectrum with quantum Monte Carlo for both continuum and lattice Hamiltonians. This method provides direct access to the matrix elements of the spatially reduced density matrix and we determine an estimator that can be used in variational Monte Carlo as well as other Monte Carlo methods. The algorithm is based on using a generalization of the Swap operator, which can be extended to calculate a general class of density matrices that can include combinations of spin, space, particle and even momentum coordinates. We demonstrate the method by applying it to the Hydrogen and Nitrogen molecules and describe for the first time how the spatial entanglement spectrum encodes a covalent bond that includes all the many body correlations.Comment: 6 pages, 3 figure

The Way Forward: From Sanctions to Supports

The New York City Working Group on School Transformation brought together education practitioners, school reformers, policy-makers, advocates, and parent and student leaders to propose alternatives to the school closings policy of the New York City Department of Education (DOE). (See the list of Working Group members in Appendix 1.) The group was initiated by the New York City Coalition for Educational Justice and coordinated by the Annenberg Institute for School Reform following the fall 2011 conference Effective Alternatives to School Closings: Transforming Struggling Schools in New York City. This report presents the Working Group's conclusions about the limitations of school closings and a set of recommendations for systemic responses to the needs of struggling schools

International Residential Real Estate Brokerage Fees and Implications for the US Brokerage Industry

It is commonly understood that residential real estate brokerage fees in the US tend to run 6% or 7% within local markets for existing property resales. Exceptions to these historically uniform going rates are starting to appear, and utilization of the internet will provide new efficiencies that should lead to lower commission rates in the future. One possible indication of where the long term commission rates may head, should price competition increase, is provided by a review of commission rates around the world. This study is a first attempt to gather such data and begin the process of global comparisons. Most industrialized country brokerage rates are significantly below those of the US, although there are clearly differences in the services provided, red tape, and liabilities, as well as information access. An exploratory model attempts to explain variations in fees around the world and deepen our understanding of possible equilibriums for US firms should price competition increase.Brokerage, Commissions, International, Internet, Future