The non-steady flow in a magnetohydrodynamic shock-wave generator of finite length

Zusammenfassung Durch geeignete Transformationen der diese Vorgänge beschreibenden Grundgleichungen in differentieller Form, Impulssatz, Kontinuitätsgleichung und Energiesatz, können sogenannte Verträglichkeitsbedingungen erhalten werden. Diese gelten entlang den Charakteristiken beziehungsweise den Lebenslinien. Letzteres System von gewöhnlichen, nichtlinearen Differentialgleichungen darf linearisiert werden, sofern die elektromagnetischen Wechselwirkungen mit der Strömung schwach sind. Elementare Integrationen führen dann zu relativ übersichtlichen und einfachen Resultaten. Insbesondere sind die unbekannten Funktionen an drei ausgezeichneten Stellen des -t-Feldes explizite zu bestimmen und die Funktionswerte im übrigen Strömungsfeld lassen sich leicht graphisch ermitteln. Die stromaufwärts reflektierten Druckschwankungen, verursacht durch die elektromagnetische Wechselwirkung im Generator, können nach einer von den Betriebsbedingungen abhängigen Anlaufstrecke zu einem Stoss auflaufen. Die exakte Bestimmung dieser Anlaufstrecke ist im Rahmen der Linearisierung auch möglich. Es ist erstaunlich, wie rasch, gemessen an der Zeit, die die Stosswelle zum Durchlaufen des Generators braucht, die Strömung im Generator stationär wird.     

Analysis of force-frequency effect of piezoelectric circular resonators strained by edge angular-sector stresses

Summary A theoretical analysis of force-frequency effect of two opposite loads distributed over an angular part of the crystal edge is performed in the case of a piezoelectric resonator or sensor. Stresses are determined at the centre of the crystal and the subsequent frequency shift is calculated. Applying the obtained results, the location and angular width of holders are determined for an AT-cut. To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.     

掺Yb钒酸盐晶体激光振荡中的光学双稳态现象研究

研究了三种掺Yb钒酸盐晶体Yb:LuVO4,Yb:YVO4和Yb:GdVO4的激光振荡中所呈现的光学双稳态效应.以晶体所吸收的抽运功率表征的双稳区宽度ΔPabs可超过1W,在双稳区高功率一侧的边界,即激光振荡的上阈值点,出现激光输出功率的不连续变化或跃变,同时发生亚毫秒时间尺度上的大幅度强度涨落.谐振腔的输出耦合透过率、晶体长度、晶体中的热效应等对双稳态效应均具有重要影响.     

Neural expression and post-transcriptional dosage compensation of the steroid metabolic enzyme 17β-HSD type 4

Background  

Steroids affect many tissues, including the brain. In the zebra finch, the estrogenic steroid estradiol (E₂) is especially effective at promoting growth of the neural circuit specialized for song. In this species, only the males sing and they have a much larger and more interconnected song circuit than females. Thus, it was surprising that the gene for 17β-hydroxysteroid dehydrogenase type 4 (HSD17B4), an enzyme that converts E₂ to a less potent estrogen, had been mapped to the Z sex chromosome. As a consequence, it was likely that HSD17B4 was differentially expressed in males (ZZ) and females (ZW) because dosage compensation of Z chromosome genes is incomplete in birds. If a higher abundance of HSD17B4 mRNA in males than females was translated into functional enzyme in the brain, then contrary to expectation, males could produce less E₂ in their brains than females.     

Extensions by Means of Expansions and Selections

We provide proper mapping-characterizations of some embedding-like properties weaker than -embedding. For instance, we show that a subset A of a space X is -embedded in X if and only if for every continuous map g: A → Y into a Banach space Y of weight w(Y) ⩽ λ, there exists a continuous set-valued mapping φ of X into the nonempty compact subsets of Y such that g is a selection for φ∣A (i.e., g(x) ∈ φ(x) for every x ∈ A). On the other hand, we show that a subset A is C*-embedded in X if and only if for every continuous set-valued mapping φ of X into the non-empty compact subsets of a Banach space Y, every continuous selection g: A → Y for φ∣A is continuously extendable to the whole of X. Combining both results we get the well-known mapping-characterization of -embedding which makes more transparent the relation ‘’. Other weak components of -embedding are described in terms of expansions and selections, possible applications are demonstrated as well.     

Dynamics of sequential decision making

We suggest a new paradigm for intelligent decision-making suitable for dynamical sequential activity of animals or artificial autonomous devices that depends on the characteristics of the internal and external world. To do it we introduce a new class of dynamical models that are described by ordinary differential equations with a finite number of possibilities at the decision points, and also include rules solving this uncertainty. Our approach is based on the competition between possible cognitive states using their stable transient dynamics. The model controls the order of choosing successive steps of a sequential activity according to the environment and decision-making criteria. Two strategies (high-risk and risk-aversion conditions) that move the system out of an erratic environment are analyzed.     

Microwave-assisted three-component synthesis of 7-aryl-2-alkylthio-4,7-dihydro-1,2,4-triazolo[1,5-a]-pyrimidine-6-carboxamides and their selective reduction

Multicomponent reactions (MCRs) and microwave-assisted organic synthesis (MAOS) have been used as key methods for the synthesis of fused dihydropyrimidine derivatives. The three-component condensation of 3-amino-5-alkylthio-1,2,4-triazoles with aromatic aldehydes and acetoacetamides under microwave irradiation was developed as a rapid and efficient solution-phase method for the high-yielding preparation of 7-aryl-2-alkylthio-4,7-dihydro-1,2,4-triazolo[1,5-a]pyrimidine-6-carboxamide libraries. In addition, the selective reduction of the formed dihydrotriazolopyrimidines to trans-trans-2-alkylthio-7-aryl-4,5,6,7-tetrahydro-1,2,4-triazolo[1,5-a]pyrimidine-6-carboxamides was established. The described synthetic protocols provide rapid access to novel and diversely substituted dihydroazolopyrimidine libraries.     

Electronic structure, ionization potential, and electron affinity of the enzyme cofactor (6R)-5,6,7,8-tetrahydrobiopterin in the gas phase, solution, and protein environments

(6R)-5,6,7,8-Tetrahydrobiopterin (BH(4)) is a key cofactor involved in the electron transfer to the P(450) heme of nitric oxide synthase. We calculated the electronic structure of the neutral, cationic, and anionic forms of BH(4) in the gas phase, in solution (both dielectric and explicit water), and in the protein environment using density functional theory (B3LYP/6-31+G(d,p)). Subsequently, we derived the ionization potential (IP) and electron affinity (EA) of the cofactor in these chemical environments. We found that the electronic structure of BH(4) is susceptible to the presence of an external electric field and that conformational changes in the structure of BH(4) alone do not affect its electronic structure significantly. In the gas phase, water, and protein environments neutral BH(4) is the most stable species, while in the dielectric environment the anion becomes the most stable species. The IP of BH(4) in the protein environment is about half of that in the gas phase, and its EA is about 5 times smaller than that in the gas phase. Our results indicate that changes in the external electric field created by moving charged amino acid residues around BH(4) may lead to configurations that have the BH(4) ion as stable as or more stable than the neutral form, thus facilitating the electron transfer.