A strong operator topology adiabatic theorem

We prove an adiabatic theorem for the evolution of spectral data under a weak additive perturbation in the context of a system without an intrinsic time scale. For continuous functions of the unperturbed Hamiltonian the convergence is in norm while for a larger class functions, including the spectral projections associated to embedded eigenvalues, the convergence is in the strong operator topology.Comment: 15 pages, no figure

An End to the Odyssey: Equal Athletic Opportunities for Women

I. Preface Princess and maids delighted in that feast; then, putting off their veils, they ran and passed a ball to a rhythmic beat. 1 So Homer, c. 800 B.C., sings of Princess Nausikaa before she befriends Odysseus near a stream on the island of Skheria. Homer\u27s adventurer ac- cepts his royal rescuer\u27s game of her own without surprise. Three millen- nia later, many American colleges are still unsure how men and women can have as equal a chance to pass a ball against other colleges as to parse the epic of Odysseus and Penelope in their classrooms. Title IX of the Education Amendments of 1972, 2 which bans sex dis- crimination in all education programs that receive federal financial assistance, should have assured those opportunities. Almost a quarter-century later, however, its promise is still unfulfilled, 3 and major litigation to define its application to athletics has begun only recently. These delays have created an air of crisis, division, and anger on many campuses. Because most college presidents and athletic directors do not know what Title IX requires, they frequently overestimate the difficulties of compliance. In my experience, supporters of men\u27s collegiate teams are espe- cially likely to lack clear information, and to be frustrated with what they believe are overly rigid obligations. Yet a generation\u27s delay in enforcement has led women student-athletes and their coaches to view compliance with increasing urgency. We should be asking why equal opportunity has been so long in com- ing. When we ask instead ..

New Canadian Records of Asilidae (Diptera) From an Endangered Ontario Ecosystem

The Asilidae (Diptera) of Bosanquet (northern Lambton County, Ontario) are surveyed. Forty-one species are recorded. Twelve species are published for the first time from Canada: Atomosia puella, Cerotainia albipilosa, Cerotainia macrocera, Holcocephala calva, Holopogon (Holopogon) oriens, Laphria canis, Laphria divisor, Laphria grossa, Lasiopogon opaculus, Machimus notatus, Machimus sadyates, and Neomochtherus auricomus. These species plus the following four are new to Ontario: Laphystia flavipes, Lasiopogon tetragrammus, Machimus novaescotiae, and Proctacanthella ca­copiloga

Long-Distance High-Fidelity Teleportation Using Singlet States

A quantum communication system is proposed that uses polarization-entangled photons and trapped-atom quantum memories. This system is capable of long-distance, high-fidelity teleportation, and long-duration quantum storage.Comment: 8 pages, 5 figure

Computational Ghost Imaging

Ghost-imaging experiments correlate the outputs from two photodetectors: a high spatial-resolution (scanning pinhole or CCD camera) detector that measures a field which has not interacted with the object to be imaged, and a bucket (single-pixel) detector that collects a field that has interacted with the object. We describe a computational ghost-imaging arrangement that uses only a single-pixel detector. This configuration affords background-free imagery in the narrowband limit and a 3D sectioning capability. It clearly indicates the classical nature of ghost-image formation.Comment: 4 pages, 3 figure

Embracing <i>n</i>-ary Relations in Network Science

Most network scientists restrict their attention to relations between pairs of things, even though most complex systems have structures and dynamics determined by n-ary relation where n is greater than two. Various examples are given to illustrate this. The basic mathematical structures allowing more than two vertices have existed for more than half a century, including hypergraphs and simplicial complexes. To these can be added hypernetworks which, like multiplex networks, allow many relations to be defined on the vertices. Furthermore, hypersimplices provide an essential formalism for representing multilevel part-whole and taxonomic structures for integrating the dynamics of systems between levels. Graphs, hypergraphs, networks, simplicial complex, multiplex network and hypernetworks form a coherent whole from which, for any particular application, the scientist can select the most suitable