In the United States, the use of educational technology is mandated by accredited teacher preparation programs and by state accrediting departments of education. Yet, the majority of teacher education faculty fail to infuse educational technology procedures into their courses at substantial levels (Mitchell, Dipetta and Kerr 2001) and teachers fail to infuse technology into their teaching (Ande...

We theoretically and experimentally investigate the mutual collapse dynamics of two spatially separated optical beams in a Kerr medium. Depending on the initial power, beam separation, and the relative phase, we observe repulsion or attraction, which in the latter case reveals a sharp transition to a single collapsing beam. This transition to fusion of the beams is accompanied by an increase in...

It is proven that for smooth initial data with compact support outside the event horizon, the solution of every azimuthal mode of the Teukolsky equation for general spin decays pointwise in time.

The transitional behavior of the two-photon Kerr effect between the self-Kerr and cross-Kerr cases is investigated. To this end, we have developed a semiclassical method for evaluating the two-photon Kerr effect that is applicable to any two-photon input state. It is revealed that the maximum Kerr effect is obtained when the second photon is input with a delay time that corresponds to the absor...

Mark A. Scheel, Adrienne L. Erickcek, Lior M. Burko, Lawrence E. Kidder, Harald P. Pfeiffer, and Saul A. Teukolsky 1 Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125 2 Department of Physics, Princeton University, Princeton, New Jersey 08544 3 Department of Physics, University of Utah, Salt Lake City, Utah 84112 and 4 Center for Radiophysics and Spa...

We describe U(N)-monopoles (N > 1) on Kerr black holes by the parameters of the moduli space of holomorphic vector U(N)-bundles over S with the help of the Grothendieck splitting theorem. For N = 2, 3 we obtain this description in an explicit form as well as the estimates for the corresponding monopole masses. This gives a possibility to adduce some reasonings in favour of existence of both a f...

After a brief introduction to the black hole stability problem, we outline our recent proof of the linear stability of the non-extreme Kerr geometry.

The following report is the result of an investigation made at-the request of the Supervising Architect of the Treasury, through the United States Geological Survey, the writer spending four days in the field during the latter part of December, 1908. Arrangements made by Mr. John G. Kerr, of Bowie, Ariz., the manager of the properties examined, served greatly to facilitate field movements and a...

Stefano Nativi⁎, Paolo Mazzetti, Hannu Saarenmaa, Jeremy Kerr, Éamonn Ó Tuama a Italian National Research Council (CNR)-IMAA, C.da S. Loja, Zona industriale-Tito Scalo, 85050 Italy Finnish Museum of Natural History, 00014 University of Helsinki, Finland Canadian Facility for Ecoinformatics Research, Department of Biology, University of Ottawa, Box 450, Station A, Ottawa, ON, Canada K1N6N5 Globa...