Large-scale nonlocality in “doubly special relativity” with an energy-dependent speed of light

There are two major alternatives for violating the (usual) Lorentz invariance at large (Planckian) energies or momenta—either not all inertial frames (in the Planck regime) are equivalent (e.g., there is an effectively preferred frame) or the transformations from one frame to another are (nonlinearly) deformed (“doubly special relativity”). We demonstrate that the natural (and reasonable) assumption of an energy-dependent speed of light in the latter method goes along with violations of locality/separability (and even translational invariance) on macroscopic scales.     

Entwicklungs -Beschleunigungen

Zusammenfassung Eine Reihe von äußerlich recht verschiedenen Reaktionen bei der photographischen Entwicklung, die zu einer Beschleunigung des Vorganges führen, läßt sich auf ein gemeinsames kolloidchemisches Prinzip zurückführen. In allen beschriebenen Fällen wird, vermittelt durch Adsorptionen am Bromsilber bzw. durch Zwischenlagerung von Oxydationsprodukten gewisser Entwickler bzw. auch in bestimmten Fällen durch Schutzhüllen von Schwermetallverbindungen, die Dispersität der Silberkeime und damit die Geschwindigkeit des Reduktionsvorganges erhöht.     

A theory of spin fluctuations in the refractory compounds VN and NbN

We calculate the spin fluctuation spectra of VN and NbN in the relevant frequency- and wave vector regime. Significant quantitative differences between the dynamical spin susceptibilities of both substances are found. While in the case of VN their amplitudes are large, especially towards the Brillouin zone boundary and for frequencies below 1 eV, enhancement effects in NbN are of minor importance.     

Pattern forming precipitation in gels due to coupling of chemical reactions with diffusion

Precipitate-forming chemical reactions have been studied in chemically cross-linked poly(vinyl alcohol) gel medium. One of the reactive components was incorporated into the gel, the other was allowed to diffuse into it. Depending on the experimental conditions the reaction-diffusion process often results in patterns of different type. Experiments performed in tubes and in thin layers were carried out in order to investigate the effects of various factors (cross-linking density, swelling degree as well as the concentrations of the outer and inner electrolytes) on the morphologies of the precipitate patterns. It was found that precipitation occurs not only in the Liesegang bands, but also between bands. Beside Liesegang-type structures, tree-like patterns have been observed, showing a characteristic periodicity in the density profile obtained by digitalized image analyses.     

乙醇增敏光泽精－H_2O_2－Pb（Ⅱ）化学发光体系的研究及应用

本文研究了Ｈ＿２Ｏ＿２氧化光泽精发光反应及乙醇的敏化作用，发现加入乙醇可使铅催化Ｈ＿２Ｏ＿２，氧化光泽精的发光强度有较大幅度的增强；铅量在３×１０￣（－７）～８×１０￣（－５）ｇ／ｍＬ。范围内与发光强度成正比．方法检出限为０．１０μｇ／ｍＬ；对含４μｇ／ｍＬＰｂ（Ⅱ）１１次重复测定，其ＲＳＤ为２．３％．对３２种常见的阴阳离子进行了干扰实验，表明方法具有较好的选择性。本法应用于水样及沉积物标样中痕量铅的测定，结果良好。     

Siderophore Transport in Mycobacteria Analyzed by Mössbauer Spectroscopy: Possible Routes to Novel Antibiotics against These Organisms?

Iron uptake of the ⁵⁷Fe-siderophores ferricrocin, rhizoferrin and citrate in M. smegmatis was analyzed by in situ Mössbauer spectroscopy. Siderophore dependent uptake and metabolic utilization patterns of ⁵⁷Fe were found. Rhizoferrin is accumulated in the organism and, therefore, represents a suitable candidate for the synthesis of novel siderophore-antibiotics conjugates.     

Solving stochastic programs with integer recourse by enumeration: A framework using Gröbner basis

In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properties of the expected integer recourse function, we prove that under mild conditions an optimal solution is contained in a finite set. Furthermore, we present a basic scheme to enumerate this set and suggest improvements to reduce the number of function evaluations needed.