A new method to analyse the Peierls-Nabarro model of an edge dislocation in a rectangular plate

A new method is presented here to analyse the Peierls-Nabarro model of an edge dislocation in a rectangular plate. The analysis is based on the superposition scheme and series expansions of complex potentials. The stress field and dislocation density field on the slip plane can be expressed as the first and the second Chebyshev polynomial series respectively. Two sets of governing equations are obtained on the slip plane and outer boundary of the rectangular plate respectively. Three numerical methods are used to solve the governing equations.

Stereoselective inverse conjugate addition of nitrogen and carbon nucleophiles to allenyl phosphine oxide. Synthesis of α,β-unsaturated phosphine oxides

Issue in Honor of Prof. Paweł Kafarski

Analyse der Beifangreduktion durch Gitternetze in der kommerziellen Garnelenfischerei

Trials for the determination of the magnitude of bycatch reduction by sorting grids used in the commercial brown shrimp fishery were carried out from September to December 1997. Trawls with 9 m beam length were used on different fishing grounds in the estuary of the Elbe River near Cuxhaven. The sorting grids tested were made of stainless steel bars spaced at 18, 20, 22, 26 and 30 mm, built into a cylindrical stainless steel frame with a diameter of 65 cm at an angle of attack of 45 degrees. This frame was positioned between the forenet and codend. Simultaneous hauls were made with a trawl of equal construction but without a sorting grid, and the weighed catch components (fish, discard shrimps and commercial size shrimps) separated by means of a riddle were compared. The composition of the sorted out part of the catch of the sorting grid net could be calculated by comparise the corresponding catch components in both the standard trawl and the sorting grid trawl. According to this the total catch of the beam trawl with the sorting grid is reduced by 18 to 38 % depending on the space between the bars. 7 to 31 % of the sorted out part of the catch consists of fish. The use of the sorting grid, however, also leads to losses of 4 to 12 % in Oktober. Per hour of towing this means a loss of 10,3 % commerical size shrimps with a sorting grid of 18 mm space between the bars and of 12,4 % for a 26 mm grid.

Analyse der Beifangreduktion durch Trichternetze in der kommerziellen Garnelenfischerei

Trials for the determination of the magnitude of bycatch reduction by the sievenets used in the commercial brown shrimp fishery were carried out from September to December 1997. Trawls with 9 m beam length were the subjected to the investigation. They were used on different fishing grounds in the estuary of the Elbe near Cuxhaven. Sievenets with 50, 60 and 80 mm mesh opening were tested in 29 hauls and 31.6 h total duration. A trawl of equal construction without sievenets fished synchronously was used for comparison. The proportional catch composition in the codend was determined by weighing the catch components (fish, discard shrimps and commercial size shrimps) as separated by means of a riddle. The composition of the sorted out part of the catch could be calculated by comparison of the corresponding catch components both in standard trawl and sievenettrawl. According to this the total catch of a beam trawl with sievenet is diminished by 9 to 34 % depending on the mesh opening of the sievenet. 32 to 58 % of the sorted out part of the catch consists of fish. Use of a sievenet, however, also leads to a loss of 6 to 15 % of commercial size shrimps. Per hour of towing this means a loss of 8.7 kg commercial size shrimps with a sievenet of 60 mm mesh opening and of 1.8 kg for a mesh size of 80 mm.

Differenzierung roher und geräucherter Aale durch Protein- und DNA-Analyse

Raw or smoked eel was analysed by isoelectric focusing of sarcoplasmic proteins. For raw fish specific protein patterns were obtained for A. anguilla/A. rostrata, A. japonica and A. australis, but in case of smoked fish differentiation was only possible between Atlantic and Pacific species. Differentiation of raw or smoked eel was possible by PCR-SSCP, but patterns of ssDNA showed some intra-specific variability depending on the type of amplicon.

Fischartbestimmung von Caviar durch Protein- und DNA-Analyse

Deutscher Caviar, made from roe of lumpfish or capelin, gives species specific patterns in protein electrophoresis. The same techniques can be used to differentiate caviar from salmon and trout. The differentiation of sturgeon caviar (beluga, osietra, sevruga) is possible by isoelectric focusing, but not by SDS-PAGE. PCR-based methods of DNA-analysis for identification of the origin of sturgeon caviar are under development.

Noninterferometric measurement of lead zirconate titanate inverse piezoelectric extension

A noncontacting and noninterferometric depth discrimination technique, which is based on differential confocal microscopy, was used to measure the inverse piezoelectric extension of a piezoelectric ceramic lead zirconate titanate actuator. The response characteristics of the actuator with respect to the applied voltage, including displacement, linearity, and hysteresis, were obtained with nanometer measurement accuracy. Errors of the measurement have been analyzed. (C) 2001 Society of Photo-Optical Instrumentation Engineers.

Guiding and confining fast electrons by transient electric and magnetic fields with a plasma inverse cone

The fast electron propagation in an inverse cone target is investigated computationally and experimentally. Two-dimensional particle-in-cell simulation shows that fast electrons with substantial numbers are generated at the outer tip of an inverse cone target irradiated by a short intense laser pulse. These electrons are guided and confined to propagate along the inverse cone wall, forming a large surface current. The propagation induces strong transient electric and magnetic fields which guide and confine the surface electron current. The experiment qualitatively verifies the guiding and confinement of the strong electron current in the wall surface. The large surface current and induced strong fields are of importance for fast ignition related researches.

Analyse des Fluchtverhaltens von Fischen auf Schiffsgeräusche mit hydroakustischen Methoden

Investigations on the avoidance reactions of pelagic schooling fish (herring and sprat) released by an approaching fishery vessel were carried out during the 378th cruise of FRC "Solea" from 25 September to 3 October 1995 in the Arkona Sea, southern Baltic. An echosounder system EK 500/BI500 with a 38 kHz transducer mounted on a towed body as weIl as a 120 kHz hull mounted transducer were used. Fish densities were measured synchronously as well as under the ship as at a laterally distances from the ship by the transducer of the towed body. By these means the variation of fish densities up to a certain distance from the ship is possible. The advantage of using an echo integrating system for these measurements is, that it works also for not schooling fish and under conditions where schooling fish disperse (e.g. at night).

Projections in a normed linear space and a generalization of the pseudo-inverse

The concept of a "projection function" in a finite-dimensional real or complex normed linear space H (the function P_M which carries every element into the closest element of a given subspace M) is set forth and examined.

If dim M = dim H - 1, then P_M is linear. If P_N is linear for all k-dimensional subspaces N, where 1 ≤ k < dim M, then P_M is linear.

The projective bound Q, defined to be the supremum of the operator norm of P_M for all subspaces, is in the range 1 ≤ Q < 2, and these limits are the best possible. For norms with Q = 1, P_M is always linear, and a characterization of those norms is given.

If H also has an inner product (defined independently of the norm), so that a dual norm can be defined, then when P_M is linear its adjoint P_M^H is the projection on (kernel P_M)^⊥ by the dual norm. The projective bounds of a norm and its dual are equal.

The notion of a pseudo-inverse F⁺ of a linear transformation F is extended to non-Euclidean norms. The distance from F to the set of linear transformations G of lower rank (in the sense of the operator norm ∥F - G∥) is c/∥F⁺∥, where c = 1 if the range of F fills its space, and 1 ≤ c < Q otherwise. The norms on both domain and range spaces have Q = 1 if and only if (F⁺)⁺ = F for every F. This condition is also sufficient to prove that we have (F⁺)^H = (F^H)⁺, where the latter pseudo-inverse is taken using dual norms.

In all results, the real and complex cases are handled in a completely parallel fashion.

Differenzierung von Pangasius (Pangasius hypophthalmus) und Asiatischem Rotflossenwels (Hemibagrus wyckioides) durch Protein- und DNA-Analyse

In the last years farmed Pangasius (Tra-Pangasius, Pangasius hypophthalmus) from Vietnam has reached a considerable market share, whereas aquaculture of Asian Redtail Catfish (Hemibagrus wyckioides) is in its infancy. Recently it has been detected by food control authorities in Hamburg, that Pangasius fillets have been mislabelled and sold as fillets produced from Asian Redtail catfish. The necessity to improve the analytical methods for differentiation of Pangasius and Redtail Catfish prompted us to evaluate the suitability of isoelectric focusing (IEF) and DNA-analysis for identification of the two species. IEF of water soluble proteins was found to be a fast, reliable and economical method for differentiation of raw fillets of Pangasius and Redtail Catfish, as long as reference material is available. PCR-based DNA analysis was performed as follows: (i) amplification of a 464 bp segment of the cytochrome b gene; (ii) sequencing of the PCR product; (iii) comparison of the sequence with entries in GenBank using BLAST. The sequences of both species differed considerably, allowing the unequivocal differentiation between P. hypophthalmus and H. wyckioides. Kurzfassung Pangasius (Schlankwels, Tra-Pangasius, Pangasius hypophthalmus) hat sich innerhalb weniger Jahre zu einem bedeutenden Zuchtfisch entwickelt, während die Aquakultur des Asiatischen Rotflossenwelses (Hemibagrus wyckioides) in Vietnam noch in einem relativ kleinen Maßstab stattfindet. Kürzlich wurde von der Lebensmittelüberwachung in Hamburg nachgewiesen, dass im Handel erhältliche Filets mit der Deklaration „Rotflossenwels“ aus Pangasius hergestellt worden waren. Vor diesem Hintergrund wurden zwei Methoden auf ihre Eignung zur Differenzierung von Pangasius und Rotflossenwels geprüft. Es zeigte sich, dass sowohl die isoelektrische Fokussierung (IEF) wasserlöslicher Proteine als auch die PCR-basierte DNA-Analyse zur Unterscheidung beider Arten gut geeignet ist. Die IEF stellt eine schnelle und kostengünstige Untersuchungsmethode dar, die allerdings Referenzmaterial benötigt. Mit Hilfe der PCR (Polymerase-Kettenreaktion) wurde ein Abschnitt des Cytochrom b-Gens vervielfältigt und sequenziert. Die Sequenzen von P. hypophthalmus und H. wyckioides wiesen beträchtliche Unterschiede auf. Es wird diskutiert, wie sich durch Vergleich dieser Sequenzen mit Einträgen in Gendatenbanken unbekannte Proben beider Arten sicher zuordnen lassen.