We construct traversable wormholes with anti-de Sitter asymptotics supported by a phantom field. These are massless and symmetric respect to reflection of the radial coordinate $\eta \to - \eta$. Their circumferential radius decreases monotonically from infinity their single throat. Analogous asymptotically flat counterparts, these possess an unstable mode.

Ellis et al. (l), Li and Papkoff (2) and Ellis (3) have reported changes in biological activity and electrophoretic behavior after treatment of growth hormone with acidic and alkaline buffers, and Lazo-Wasem and Graham (4) have studied the stability of growth hormone prepared by different procedures. Recently, it has been shown (5) that highly purified preparations of growth hormone are contami...

Requests for reprints should be addressed to N. Ellis, School of Psychology, University of Wales, Bangor, Gwynedd, Wales, LL57 2DG, UK. We thank Martin Wilson for help with administering the experiment and Gordon Brown and Ernest Lee for useful discussions. This work was assisted by grant R000236099 from the Economic and Social Research Council (UK) to the Žrst author. A preliminary report of s...

By S T E F A N E L L A B O A T T O1,2† AND R A Y M O N D T. P I E R R E H U M B E R T 1 James Franck Institute, University of Chicago, 5640 S. Ellis Ave., Chicago, IL 60637, USA 2 Computational and Applied Mathematical Center, Department of Mathematics, University of Chicago, 5734 S. University Ave, Chicago, IL 60637, USA 3 Department of Geophysical Sciences, University of Chicago, 5734 S. Elli...

Marcela Carena, Patrick Draper, Sven Heinemeyer, Tao Liu, Carlos E.M. Wagner, and Georg Weiglein Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510, USA Enrico Fermi Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637, USA Instituto de Fı́sica de Cantabria (CSIC-UC), E-39005 Santander, Spain Department of Physics, University of California,...

Under 5 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,582 5.8 5 to 9 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,514 5.5 10 to 14 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,814 6.6 15 to 19 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2,706 9.8 20 to 24 years . . . . . . . . . . . . . . . . ....

Let G be a finite p-group of order pn with |G′| = pk, and let M(G) denote its Schur multiplier. A classical result of Green states that |M(G)| ≤ p 1 2 n(n−1) . In 2009, Niroomand, improving Green’s and other bounds on |M(G)| for a non-abelian p-group G, proved that |M(G)| ≤ p 2 (n−k−1)(n+k−2)+1. In this paper, we prove that a bound, obtained earlier by Ellis and Wiegold, is stronger than that o...