Expanded Quantum Cryptographic Entangling Probe

The paper [Howard E. Brandt, "Quantum Cryptographic Entangling Probe," Phys. Rev. A 71, 042312 (2005)] is generalized to include the full range of error rates for the projectively measured quantum cryptographic entangling probe.Comment: 4 page

The Raman Spectrum of Arsenic Trifluoride and the Molecular Constants of AsF3, AsCl3 and PCl3

The Raman spectrum of AsF3 was found to consist of four lines with the frequencies omega1(1), 707; omega2(1), 341; omega3(2), 644; and omega4(2), 274 cm^—1. The selection rules require a pyramidal molecule. Electron diffraction data for AsF3, AsCl3 and PCl3 are used to establish the bond angles. The entropies of the three trihalides were calculated, and the standard free energies of formation of AsCl3(l) and AsCl3(g) were determined to be —65,190 cal. and —62,718 cal., respectively, at 25°

Estimability and efficiency in nearly orthogonal 2[m1] x 3[m2] deletion designs

This article considers single replicate factorial experiments in incomplete blocks. A single replicate 2^m1 x 3^m2 deletion design in 3 incomplete blocks is obtained from a single replicate 3^m, where m = m_1 + m_2, preliminary design by deleting all runs (or treatment combinations) with the first m_1 factors at the level two. A systematic method for determining the unbiasedly estimable (u.e.) and not unbiasedly estimable (n.u.e.) factorial effects is provided. It is shown that for m_2 > 0 all factorial effects of the type F( α_1 · · · α_m_1 , α_(m_1 +1) · · · α_m), where α_i; = 0, l for i = 1, · · ·, m_1, α_i; = 0, 1, 2 for i = m_(1+1), · · ·, m, with (α_1 · · · α_m) != (0 · · · 0), and (α_m,+l · · · _m) != α(l · · · 1) for a= 1, 2, are u.e. and the remaining factorial effects are n.u.e. It is noted that (2^m_1 - 1) factorial effects of 2^m_1 factorial experiments and (3^m_2) factorial effects of 3^m, factorial experiments, which are embedded in 2^m_1 x 3^m, factorial experiments, are u. e. The 2 x 3m-l deletion designs were considered in the work of Voss (1986). Defining factorial effects of a 2^m_1 x 3^m, factorial experiment in a form different than in Voss (1986), we develop a simple representation of u.e. and n. u. e. factorial effects. In this representation, there are (2^(m_1 + 1) + 1) n. u. e. factorial effects of the type F( α_1 · · · α_m_1, α· · · α). This number is smaller than the corresponding number of n. u. e. factorial effects in the representation of Voss (1986). The relative efficiency expressions, and their bounds, in the estimation of factorial effects of 2^m_1 x 3^m_2 deletion designs are also given

Spitzer spectroscopy of circumstellar disks in the 5 Myr old upper Scorpius OB association

We present mid-infrared spectra between 5.2 and 38 μm for 26 disk-bearing members of the ~5 Myr old Upper Scorpius OB association obtained with the Infrared Spectrograph (IRS) onboard the Spitzer Space Telescope. We find clear evidence for changes in the spectral characteristics of dust emission between the early-type (B+A) and late-type (K+M) infrared excess stars. The early-type members exhibit featureless continuum excesses that become apparent redward of ~8 μm. In contrast, 10 and 20 μm silicate features or polycyclic aromatic hydrocarbon emission are present in all but one of the late-type excess members of Upper Scorpius. The strength of silicate emission among late-type Upper Scorpius members is spectral-type dependent, with the most prominent features being associated with K5-M2-type stars. By fitting the spectral energy distributions (SED) of a representative sample of low-mass stars with accretion disk models, we find that the SEDs are consistent with models having inner disk radii ranging from ~0.2 to 1.2 AU. Complementary high-resolution (R ~ 33,000) optical (λλ4800-9200) spectra for the Upper Scorpius excess stars were examined for signatures of gaseous accretion. Of the 35 infrared excess stars identified in Upper Scorpius, only seven (all late-type) exhibit definitive signatures of accretion. Mass-accretion rates (M) for these stars were estimated to range from 10^–11 to 10^–8.9 M⊙ yr^–1. Compared to Class II sources in Taurus-Auriga, the disk population in Upper Scorpius exhibits reduced levels of near- and mid-infrared excess emission and an order of magnitude lower mass-accretion rates. These results suggest that the disk structure has changed significantly over the 2-4 Myr in age separating these two stellar populations. The ubiquity of depleted inner disks in the Upper Scorpius excess sample implies that such disks are a common evolutionary pathway that persists for some time

Claremont I and II - Were They Rightly Decided, and Where Have They Left Us?

[Excerpt] “Our children embody the enduring wonder of life. They hold our hopes for the future. We want them to be happy, to succeed in whatever they do both in work and in play. We want them to contribute to our country and the world in constructive ways. But for these hopes to be realized our children must be educated-they must possess the requisite skills and knowledge to function well in this ever changing world. Yet, are we, as a society, meeting our responsibility to educate our children? What do we expect of our public schools? How important are these schools to us? Is a public education fit for the times guaranteed as a constitutional matter? These questions loomed large in the New Hampshire Supreme Court\u27s decisions in Claremont I and Claremont II, issued respectively in 1993 and 1997. Constituting New Hampshire\u27s core education rulings, they are among the Court\u27s most controversial exercises of constitutional jurisprudence. […] This article concludes that the New Hampshire Supreme Court correctly determined in Claremont I that Article 83 established enforceable positive constitutional rights for the provision and funding of an adequate public education. The Court acted properly in recognizing that the judiciary had an important role to play to assure these important constitutional rights. Claremont I properly upheld the State\u27s constitutional obligation to accord the State\u27s public school children with access to an education that would at all times enable them to be good citizens productive in their work. The decision also reflected proper regard for the prerogatives of the elected branches by leaving to them, at least initially, the development of an operational definition of adequacy in education, along with the responsibility to fashion the appropriate means to provide for it. The Claremont II decision, however, does not earn like approbation. It fails to stand up strongly as a tax ruling. It does not constitute a good appellate review of the other Superior Court rulings against the petitioners. The Court majority, after issuing its decision, deferred to the elected branches to give them time to fashion a remedy. Its decision, however, was not well received, or easily accepted, by many in the Legislature. Only after much resistance and much delay did the elected branches manage to put in place certain educational adequacy /funding reforms. Whatever their merits or flaws, this article sees these two decisions as having importantly and positively impacted New Hampshire\u27s public education system. The decisions had a good deal to do with ushering in needed reforms, so that the education system now operates with a specific definition for a constitutionally adequate education, regular assessment and accountability tools, and a costing out of adequacy linked to associated funding. The decisions have thus better positioned the public education system to meet the challenges of the future.

Robust option replication for a Black-Scholes model extended with nondeterministic trends

Statistical analysis on various stocks reveals long range dependence behavior of the stock prices that is not consistent with the classical Black and Scholes model. This memory or nondeterministic trend behavior is often seen as a reflection of market sentiments and causes that the historical volatility estimator becomes unreliable in practice. We propose an extension of the Black and Scholes model by adding a term to the original Wiener term involving a smoother process which accounts for these effects. The problem of arbitrage will be discussed. Using a generalized stochastic integration theory [8], we show that it is possible to construct a self financing replicating portfolio for a European option without any further knowledge of the extension and that, as a consequence, the classical concept of volatility needs to be re-interpreted. AMS subject classifications: 60H05, 60H10, 90A09