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1.
Rafał Bocian Thorsten Holm Andrzej Skowroński 《Central European Journal of Mathematics》2004,2(1):67-75
Auslander’s representation dimension measures how far a finite dimensional algebra is away from being of finite representation
type. In [1], M. Auslander proved that a finite dimensional algebra A is of finite representation type if and only if the representation dimension of A is at most 2. Recently, R. Rouquier proved that there are finite dimensional algebras of an arbitrarily large finite representation
dimension. One of the exciting open problems is to show that all finite dimensional algebras of tame representation type have
representation dimension at most 3. We prove that this is true for all domestic weakly symmetric algebras over algebraically
closed fields having simply connected Galois coverings. 相似文献
2.
K. Holmåker 《Journal of Optimization Theory and Applications》1991,71(2):205-235
Some optimization problems concerning a substrate in a fluid are considered. The concentration of the substrate is affected by diffusion, convection, and elimination by enzymes, and the problem is to find the optimal distribution of enzymes. In this paper, the rate of elimination and the transmission coefficient are optimized. Mathematically, these problems are optimal control problems, and they are analyzed by means of Pontryagin's maximum principle. 相似文献
3.
Nanoparticles coated with single stranded DNA have been shown to efficiently hybridize to targets of complementary DNA. This property might be used to implement programmable (or algorithmic) self-assembly to build nanoparticle structures. However, we argue that a DNA coated nanoparticle by itself cannot be used as a programmable self-assembly building block since it does not have directed bonds. A general scheme for assembling and purifying nanoparticle eight-mers with eight geometrically well-directed bonds is presented together with some preliminary experimental work. 相似文献
4.
5.
The environmental contamination of transuranics following the Palomares accident in 1966 (Southern Spain) has been continuous monitored on land and scientific programs are still running. The study of the land to sea transfer of the contamination started in 1986, focussed on the depositional history recorded in marine sediments. At the continental shelf, south of the mouth of the Almanzora river, enhanced levels of plutonium and americium were found which could be related to the accident. Additional analysis of marine sediments, collected far from the impact point, showed the presence of a hot particle. The study of the chronology of this sediment core and the isotopic ratios are given in this paper to assess the origin and pathway of the particle. The route of this particle was found to be the aerial transfer at the time of the accident. 相似文献
6.
7.
E. Holm P. Roos A. Aarkrog A. Mitchell L.L. Vintro 《Journal of Radioanalytical and Nuclear Chemistry》2002,252(2):211-214
In nuclear reactors plutonium and transplutonium isotopes are produced by multiple neutron capture of uranium and plutonium and are important for the energy production and their composition reflects the core burnout. Under normal operation these elements are not released to the environment in significant amounts. There are accordingly very few areas or source terms where exotic transplutonium elements, such as curium isotopes, can be studied in the environment. The Chernobyl accident provided a complex spectrum of fission and activation products in fallout while the relative amounts, compared to the core inventory, of refractory elements such as transuranium and transplutonium elements were small. The major alpha-activity consisted of 242Cm (T
1/2 = 163 d) that would have decayed after a few years. In this study we have demonstrated the presence of so called supported 242Cm from the long-lived 242Amm (T
1/2 = 141 a) in environmental samples, following fallout from the Chernobyl accident. It has also been possible to assess the core burn up by using the data obtained for the Cm isotopes. The curium isotopes 243Cm (T
1/2 = 29.1 a) and 244Cm (T
1/2 = 18.1 a) cannot be resolved by conventional alpha-spectrometry. The assessment of these isotopes in environmental samples contaminated from the Chernobyl accident has been made by studying the effective half-life of the mixture of the isotopes. The data are compared with those previously obtained by high-resolution alpha-spectrometry and spectral deconvolution. 相似文献
8.
Holm T 《The Journal of organic chemistry》2000,65(4):1188-1192
Competition kinetics are useful for estimation of the reactivities of Grignard reagents if the reaction rates do not differ widely and if exact rates are not needed. If the rate of mixing is slower than the rate of reaction, the ratios between the rates of fast and slow reagents are found to be too small. This is concluded from experiments in which results obtained by competition kinetics are compared with results obtained directly by flow stream procedures. A clearer picture of the reactivity ratios is obtained when the highly reactive reagent is highly diluted with its competitor. A fast reagent may account for almost all the product even when present as only 1 part in 100 parts of the competing agent. In this way allylmagnesium bromide is estimated to react with acetone, benzophenone, benzaldehyde, and diethylacetaldehyde ca. 1.5 x 10(5) times faster than does butylmagnesium bromide. The rates found for the four substrates do not differ significantly, and it seems possible that there is a ceiling over the rate of reaction of this reagent, for example, caused by diffusion control. This may explain that competition kinetics using allylmagnesium bromide have failed to show kinetic isotope effects or effects of polar substituents with isotopically or otherwise substituted benzophenones. A recently reported alpha-deuterium secondary kinetic isotope effect for the reaction of benzaldehyde with allylmagnesium bromide was observed at -78 degrees C, but was absent at room temperature. It is suggested that the reaction of benzophenone and benzaldehyde with allylmagnesium bromide has a radical-concerted mechanism since no radical-type products are produced and since no color from an intermediate ketyl is observed even at -78 degrees C. 相似文献
9.
A potentiometric method for the determination of organophosphorus insecticides based on the inhibition of cholinesterase is presented. The acetic acid formed by hydrolysis of acetylcholine is sensed by a glass electrode in a weakly buffered system. The insecticide is incubated with cholinesterase for 1 h at 25°C or 37°C before addition to the substrate. The effects of incubation time and temperature are discussed. The method is applied to the insecticides bromophos and dichlorvos. The detection limits are 2 × 10-5 M (7 ppb) for bromophos and 1 × 10-7 M (22 ppb) for dichlorvos. The initial rates of hydrolysis decrease linearly up to 2 × 10-7 M and 1 × 10-6 M, respectively. 相似文献
10.
R. Holm und S. Storp 《Fresenius' Journal of Analytical Chemistry》1978,290(4):273-288
Zusammenfassung ESCA (nach Siegbahn: Electron Spectroscopy for Chemical Analysis) beruht auf dem Photoeffekt an inneren Atomorbitalen und ist auf alle Substanzen anwendbar. Die Routineuntersuchungen werden überwiegend an Festkörpern durchgeführt. Informationsträger sind Photo- und Augerelektronen, die verlustfrei von der Festkörperoberfläche emittiert werden. Auf Grund der Oberflächenempfindlichkeit gehört ESCA zu den mikrochemischen Verfahren. Die erfaßte Schichtdicke ist gegeben durch die Austrittstiefe der Photo- und Augerelektronen. Sie beträgt einige Monolagen, maximal 100 Å. Man kann davon ausgehen, daß bei einer untersuchten Fläche von 0,5 cm2 und homogener Verteilung eines Elementes in den obersten 100 Å eine Konzentration von 1 % noch sicher nachgewiesen wird. Die Empfindlichkeitsunterschiede von Element zu Element liegen innerhalb eines Faktors 10. Matrixeffekte sind noch wesentlich geringer. Deshalb sind gute Voraussetzungen für eine quantitative Analyse gegeben. ESCA ist zwar nicht direkt ein Verfahren zur Spurenanalyse, wohl aber nach geeigneter Anreicherung. Der besondere Vorteil von ESCA liegt darin, daß man nicht nur Elemente nachweist, sondern an Hand von chemischen Verschiebungen, Linienaufspaltungen und Shake-up-Satelliten zuverlässige Aussagen über ihren Bindungszustand erhält. Weiterhin kann innerhalb des Bereiches der Austrittstiefe der Photoelektronen differenziert werden; dadurch ergeben sich Möglichkeiten zur zerstörungsfreien Aufnahme von Tiefenverteilungen von Elementen und Verbindungen. Zum Vordringen in tiefere Schichten kann ESCA mit abbauenden Verfahren gekoppelt werden. Nach Ionenbeschußabbau ist wegen ioneninduzierter Reaktionen in der Regel jedoch kein Verbindungsnachweis mehr möglich.
ESCA: A method for the determination of elements and their valence states in the surfaces of solids
Summary ESCA — or Electron Spectroscopy for Chemical Analysis (the term used by its inventor, Siegbahn)-is based on the effects of X-rays on the inner orbitals of atoms and is applicable to all substances. Routine ESCA investigations are carried out chiefly on solids. The information is provided by photo- and Auger electrons, which are emitted from the surfaces of solids without energy losses. Because of its surface sensitivity ESCA may be regarded as a microchemical method. The comprehended layer thickness is given by the escape depths of the photo- and Auger electrons. The range is from a few monolayers to 100 Å. As a rule, an element that is distributed homogeneously in the uppermost 100 Å of an area of 0.5 cm2 can still be detected reliably at a concentration of 1%. The differences in sensitivity from element to element are within a factor of ten. Matrix effects are considerably smaller still. ESCA is therefore well suited for quantitative analysis. Though not directly suitable for trace analysis, ESCA can be used for that purpose after appropriate enrichment techniques have been applied. The special advantage of ESCA is that, in addition to detecting elements, it provides reliable information on their valence states by means of chemical shifts, line splitting and shake-up satellites. Apart from this, ESCA permits in-depth discrimination within the range of the escape depths of the photo electrons; it therefore provides opportunities for the non-destructive recording of the depth distributions of elements and compounds. For investigation of lower layers, ESCA can be combined with methods which involve the removal of outer layers. After removal of layers by ion bombardment, however, ion-induced reactions generally prevent the detection of compounds.
Hauptvortrag auf dem Internationalen Symposium für mikrochemische Arbeitsmethoden (ISM) Davos, Mai 1977 相似文献