We prove that the value of the quasi-trace on an idempotent element in a AW*-factor of type II1 is the same as the dimension of its left (or right) support. It is a long standing open problem (due to Kaplansky) to prove that an AW*factor of type II1 is in fact a von Neumann algebra. A remarkable answer, in the affirmative, was found by Haagerup ([Ha]), who proved that if an AW*-factor A is gene...

This paper presents experimental results on the noise performance of an ultra high quality factor (Q-factor) micromachined silicon Quad Mass Gyroscope (QMG). The device was vacuum sealed at below 0.1mTorr in an LCC package with activated getters, demonstrating the Q-factor better than 1.7 million, along the drive and sense modes, at the 1.6 kHz center frequency. A bias stability of 0.09 deg/hr ...

For any integer m let P (m) denote the greatest prime factor of m and let Q(m) denote the greatest square free factor of m with the convention that P (0) = P (±1) = 1 = Q(±1) = Q(0). Thus, if m = p1 1 · · · p hr r with p1, . . . , pr distinct primes and h1, . . . , hr positive integers, then Q(m) = p1 · · · pr. van der Poorten and Schlickewei [6] and Evertse [1] proved, by means of a p-adic ver...

JMBl Pig. 2. Plot of the qualily factor YS. nuiiiber of periods of the photonic cryslal surrounding the defect region (single removed hole). The lotal quality factor ofthe cavity mode is liibelled as Qn aiid an effective vertical (QI) and in-plane (Q, , ) Q have been defiued in term of power radiated in the vertical and in-plane dircclions, rcspeclively. For only a few periods ofphotonic crysta...

By using the theory of deformed quantum mechanics, we study the deformed light beam theoretically. The deformed beam quality factor M2 q is given explicitly under the case of deformed light in coherent state. When the deformation parameter q being a root of unity, the beam quality factor M2 q ≤ 1. PACS number(s): 42.60Jf, 42.65Jx, 03.65.-w Typeset using REVTEX ∗The project supported by the Nati...

We report ultra-compact surface-normal high-Q optical filters based on single- and double-layer stacked Fano resonance photonic crystal slabs on both Si and quartz substrates. A single layer photonic crystal filter was designed and a Q factor of 1,737 was obtained with 23 dB extinction ratio. With stacked double-layer photonic crystal configuration, the optical filter Q can increase to over 10,...

The pion electromagnetic form factor is often considered a good observable for studying the onset, with increasing energy, of the perturbative QCD regime for exclusive processes. It is believed that, because the pion is the lightest and simplest hadron, a perturbative description will be valid at lower energy scales than predictions for heavier and more complicated hadrons such as the nucleon [...

Classical molecular dynamics is applied to study the energy dissipation (the Q factor) of the cantilever-type beam oscillators of single wall and double-walled carbon nanotubes (CNTs). The study finds that the Q factor of the CNT beam oscillator varies with the temperature T following the 1/T(0.36) dependence. For single wall CNT, the Q factor drops from 2 x 10(5) at 0.05 K to 1.5 x 10(3) at 29...

Aaron K. Shrimplin is Head of Reference and Collection Services, Andy Revelle is Social Sciences Librarian, Susan Hurst is Business Librarian, and Kevin Messner is Life Sciences Librarian, all at Miami University Libraries; e-mail: [email protected], [email protected], [email protected], messnekr@muohio. edu. An earlier version of this manuscript was presented by Aaron K. Shrimplin and And...