Given that religious faith is constitutionally procluded as a census question, it can be challenging to document the geography of religion at the micro level. This paper explores the geography of adherence to Orthodox Judaism in Brooklyn, New York through a variety of signature locational phenomena associated with the faith, including synagogues, yeshivas and kosher food retailers. The address,...

A new finite difference method for the Helmholtz equation is presented. The method involves replacing the standard “weights” in the central difference quotients (Sects. 2.1, 2.2, and 2.3) by weights that are optimal in a sense that will be explained in the Sects. just mentioned. The calculation of the optimal weights involves some complicated and error prone manipulations of integral formulas t...

ˆ Reading: For eigenkets of ŷ ≡ âA ⊗ ˆ IB + IA ⊗ âB: • J.H. Shapiro and S.S. Wagner, “Phase and amplitude uncertainties in heterodyne detection,” IEEE J. Quantum Electron. QE-20, 803–813 (1984). For quantum photodetection: • C.C. Gerry and P.L. Knight, Introductory Quantum Optics (Cambridge University Press, Cambridge, 2005) Sect. 5.2. • L. Mandel and E. Wolf, Optical Coherence and Quantum Opti...