Nonoscillatory solutions of linear differential equations with deviating arguments

Summary The equation to be considered is of the form (1) x(ⁿ)(t)+p(t)x(g(t))=0 (t>a), where =±1, p(t) > 0 for ta and g(t) as t. It is well- known that a nonoscillatory solution x(t) of (1) satisfies (2) x(t)x(ⁱ)(t)>0 (0il), (–1)^i–lx(t)x(ⁱ)(t)>0 (lin) for some integer l, 0ln, (–1)^n–l–1=1. In this paper, for a given l such that 0n–l–1=1, necessary conditions and sufficient conditions are found for (1) to have a solution x(t) which satisfies (2), and a necessary and sufficient condition is established in order that for every >0 the equation x(ⁿ)(t)+p(t)x(g(t))=0 (t>a) has a solution x(t) which satisfies (2). Related results are also contained.     

QUANTUM EFFICIENCY FOR THE PHOTOCONVERSION OF BACTERIORHODOPSIN AT VERY LOW TEMPERATURES

Abstract— Quantum efficiencies for photoconversion of bacteriorhodopsin (trans-bR) to a bathochromic product (batho-bR^t) and its photoreversion in purple membrane at 77 and 9 K were investigated with low temperature spectrophotometry. The kinetics of the photoconversion and its photoreversion cannot be expressed by a single exponential curve. The photoconversions at 77 and 9 K showed the same slope in the early stage. The kinetics of the photoreversions were identical at the two temperatures. These results indicate that the quantum efficiencies for the conversion of trans-bR to batho-bR^t or for its photoreversion are identical at the two temperatures.
The fact that the photoreversion cannot be expressed by a single exponential curve suggests the existence of several conformational states of batho-bR^t due to the trimer structure of the purple membrane.     

Quasi-elastic scattering of the proton drip line nucleus 17F on 12C at 60 MeV

The quasi-elastic scattering angular distribution of the proton drip line nucleus ¹⁷F on a ¹²C target was measured at 60 MeV. The experimental data have been compared with the theoretical analysis based onto optical model and continuum discretized coupled channels (CDCC). The couplings between breakup and elastic scattering channels, and between inelastic and elastic scattering channels resulted very weak. In order to explore the breakup effects the total reaction cross-section was deduced from the angular distribution of the quasi-elastic scattering data, and then compared with the existing data for the other weakly and tightly bound nuclei on ¹²C target using a universal function. From this comparison, we concluded that the breakup effect is not important for weakly bound projectiles on the light target as obtained also with the CDCC analysis.     

In vivo multispectral imaging of the absorption and scattering properties of exposed brain using a digital red–green–blue camera

Optical Review - To evaluate multi-spectral images of the absorption and scattering properties in the cerebral cortex of rat brain, we investigated spectral reflectance images estimated by the...     

Electroorganic synthesis in oil-in-water (O/W) nanoemulsion: TEMPO-mediated electrooxidation of amphiphilic alcohols in water

Oil-in-water nanoemulsion which consisted of TEMPO, amphiphilic alcohols, and water offered unique reaction environments for electrooxidation of the alcohols to give the corresponding carboxylic acids in good to excellent yields.     

Rapid Separation of Hydrophobic Compounds by UPLC: in Case of Bisindolylmaleimides, Indolocarbazoles or Fullerene C60 Derivatives

Rapid separation of hydrophobic compounds such as bisindolylmaleimides, indolocarbazoles or fullerene C₆₀ derivatives by ultra performance liquid chromatography was developed. Bisindolylmaleimides and indolocarbazoles were separated within 7 and 5 min, respectively. The linear ranges for the determination of bisindolylmaleimides and indolocarbazoles were 1.25?500 pmol and 0.5?50 pmol per injection (r > 0.99), respectively. Fullerene C₆₀ derivatives were separated within 9 min, and the linear range for the determination of fullerene C₆₀ derivatives was 0.1?10 pmol per injection (r > 0.99).     

An improvement of discrete Tardos fingerprinting codes

It has been proven that the code lengths of Tardos’s collusion-secure fingerprinting codes are of theoretically minimal order with respect to the number of adversarial users (pirates). However, the code lengths can be further reduced as some preceding studies have revealed. In this article we improve a recent discrete variant of Tardos’s codes, and give a security proof of our codes under an assumption weaker than the original Marking Assumption. Our analysis shows that our codes have significantly shorter lengths than Tardos’s codes. For example, when c = 8, our code length is about 4.94% of Tardos’s code in a practical setting and about 4.62% in a certain limit case. Our code lengths for large c are asymptotically about 5.35% of Tardos’s codes. A part of this work was presented at 17th Applied Algebra, Algebraic Algorithms, and Error Correcting Codes (AAECC-17), Bangalore, India, December 16–20, 2007.     

Masking effect of potassium iodide on the interferences in the atomic-absorption spectrophotometric determination of antimony utilizing stibine generation by sodium borohydride tablet reduction

Summary The masking effect of potassium iodide with or without hydroxylamine on the interferences in the atomic-absorption spectrophotometric determination of antimony via its hydride by sodium borohydride tablet reduction has been studied. It has been well known in the conventional colorimetric method [21] that both potassium iodide and stannous chloride completely suppress the evolution of stibine. However, in this sodium borohydride tablet reduction, potassium iodide plays a role in masking the interferences of not only stannous chloride but also other numerous ions. By the procedure established here, the calibration curve was linear up to a concentration of 0.04g/ml of antimony with the coefficient of variation of 2.4 %. The method was successfully applied to the determination of antimony in a river sediment.

---

Maskierende Wirkung von Kaliumiodid auf Störungen bei der AAS-Bestimmung von Antimon durch Stibinerzeugung mit Hilfe der Natriumborhydridreduktion

Zusammenfassung Es ist bekannt, daß bei der colorimetrischen Bestimmungsmethode [21] sowohl KI als auch SnCl₂ die Entwicklung von Stibin vollständig verhindern. Bei der hier beschriebenen Reduktion mit Hilfe einer NaBH₄-Tablette maskiert jedoch KI (mit oder ohne Hydroxylaminzusatz) Störungen durch SnCl₂ sowie durch zahlreiche andere Ionen. Die Eichkurve verläuft bis zu 0,04 g Sb/ml linear. Der Variationskoeffizient beträgt 2,4 %. Als Anwendungsbeispiel wird die Antimonbestimmung in Flußsedimenten erwähnt.