Entire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Bounds for spectral variations of pencils are derived. In particular, approximations of entire pencils by polynomial pencils are investigated. Our results are new even for polynomial pencils. © 2005 Elsevier Inc. All rights reserved.

Recent developments in cosmology indicate that every history having a nonzero probability is realized in infinitely many distinct regions of spacetime. Thus, it appears that the universe contains infinitely many civilizations exactly like our own, as well as infinitely many civilizations that differ from our own in any way permitted by physical laws. We explore the implications of this conclusi...

INTRODUCTION AND HYPOTHESIS We evaluated the anatomical success and complications of Perigee® with porcine dermis Graft in the repair of anterior vaginal wall prolapse (AVWP) MATERIALS AND METHODS: After Institutional Review Board (IRB) approval, the charts of all patients who underwent AVWP repair using the Perigee/InteXen® kit from July 2005 to July 2009 were reviewed. Patients who had less t...

Anselm’s Ontological Argument fails, but not for any of the various reasons commonly adduced. In particular, its failure has nothing to do with violating deep Kantian principles by treating ‘exists’ as a predicate or making reference to ‘Meinongian’ entities. Its one fatal flaw, so far from being metaphysically deep, is in fact logically shallow, deriving from a subtle scope ambiguity in Anselm...

We have implemented a translator that translates Carneades Argument Graphs as specified in the LKIF files of the Carneades editor to a database specification of the Argument Interchange Format and vice versa. In this paper the algorithms for this translation are presented.

An explicit construction of a geodesic flow-invariant distribution lying in the discrete series of weight 2k isotopic component is found, using techniques from representation theory of SL2(R). It is found that the distribution represents an AC measure on the unit tangent bundle of the hyperbolic plane minus an explicit singular set. Finally, via an averaging argument, a geodesic flow-invariant ...

the problem of the knowledge of human soul and its correlation to god's knowledge have been introduced between muslims of the beginning of islamic age and thought, using at correct traditions for ahl ul-bayt. muslim philosophers' affected by islamic teachings have studied in this respect and raised its problem as an islamic philosophical problem. they discussed this problem from two a...