933 resultados para Pure spinor formalism


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Optimum conditions and experimental details for the formation of v-Fe203 from goethite have been worked out. In another method, a cheap complexing medium of starch was employed for precipitating acicular ferrous oxalate, which on decomposition in nitrogen and subsequent oxidation yielded acicular y-Fe203. On the basis of thermal decomposition in dry and moist nitrogen, DTA, XRD, GC and thermodynamic arguments, the mechanism of decomposition was elucidated. New materials obtained by doping ~'-Fe203 with 1-16 atomic percent magnesium, cobalt, nickel and copper, were synthesised and characterized

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Der Vielelektronen Aspekt wird in einteilchenartigen Formulierungen berücksichtigt, entweder in Hartree-Fock Näherung oder unter dem Einschluß der Elektron-Elektron Korrelationen durch die Dichtefunktional Theorie. Da die Physik elektronischer Systeme (Atome, Moleküle, Cluster, Kondensierte Materie, Plasmen) relativistisch ist, habe ich von Anfang an die relativistische 4 Spinor Dirac Theorie eingesetzt, in jüngster Zeit aber, und das wird der hauptfortschritt in den relativistischen Beschreibung durch meine Promotionsarbeit werden, eine ebenfalls voll relativistische, auf dem sogenannten Minimax Prinzip beruhende 2-Spinor Theorie umgesetzt. Im folgenden ist eine kurze Beschreibung meiner Dissertation: Ein wesentlicher Effizienzgewinn in der relativistischen 4-Spinor Dirac Rechnungen konnte durch neuartige singuläre Koordinatentransformationen erreicht werden, so daß sich auch noch für das superschwere Th2 179+ hächste Lösungsgenauigkeiten mit moderatem Computer Aufwand ergaben, und zu zwei weiteren interessanten Veröffentlichungen führten (Publikationsliste). Trotz der damit bereits ermöglichten sehr viel effizienteren relativistischen Berechnung von Molekülen und Clustern blieben diese Rechnungen Größenordnungen aufwendiger als entsprechende nicht-relativistische. Diese behandeln das tatsächliche (relativitische) Verhalten elektronischer Systeme nur näherungsweise richtig, um so besser jedoch, je leichter die beteiligten Atome sind (kleine Kernladungszahl Z). Deshalb habe ich nach einem neuen Formalismus gesucht, der dem möglichst gut Rechnung trägt und trotzdem die Physik richtig relativistisch beschreibt. Dies gelingt durch ein 2-Spinor basierendes Minimax Prinzip: Systeme mit leichten Atomen sind voll relativistisch nunmehr nahezu ähnlich effizient beschrieben wie nicht-relativistisch, was natürlich große Hoffnungen für genaue (d.h. relativistische) Berechnungen weckt. Es ergab sich eine erste grundlegende Veröffentlichung (Publikationsliste). Die Genauigkeit in stark relativistischen Systemen wie Th2 179+ ist ähnlich oder leicht besser als in 4-Spinor Dirac-Formulierung. Die Vorteile der neuen Formulierung gehen aber entscheidend weiter: A. Die neue Minimax Formulierung der Dirac-Gl. ist frei von spuriosen Zuständen und hat keine positronischen Kontaminationen. B. Der Aufwand ist weit reduziert, da nur ein 1/3 der Matrix Elemente gegenüber 4-Spinor noch zu berechnen ist, und alle Matrixdimensionen Faktor 2 kleiner sind. C. Numerisch verhält sich die neue Formulierung ähnlilch gut wie die nichtrelativistische Schrödinger Gleichung (Obwohl es eine exakte Formulierung und keine Näherung der Dirac-Gl. ist), und hat damit bessere Konvergenzeigenschaften als 4-Spinor. Insbesondere die Fehlerwichtung (singulärer und glatter Anteil) ist in 2-Spinor anders, und diese zeigt die guten Extrapolationseigenschaften wie bei der nichtrelativistischen Schrödinger Gleichung. Die Ausweitung des Anwendungsbereichs von (relativistischen) 2-Spinor ist bereits in FEM Dirac-Fock-Slater, mit zwei Beispielen CO und N2, erfolgreich gemacht. Weitere Erweiterungen sind nahezu möglich. Siehe Minmax LCAO Nährung.

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In comparison with mixed forest stands, the cultivation of pure plantations in Vietnam entails serious ecological consequences such as loss of biodiversity and higher rate of soil erosion. The economic evaluation is elaborated between pure plantations and mixed forests where the fast-growing tree species are mixed with slow growing tree species which are planted in stripes separating the segments with fast-growing tree species (Acacia sp.). For the evaluation, the input values were used from local costs of goods, services and labour. The results show that the internal rate of return is the highest in the case of pure plantation in comparison with mixed forests – 86% to 77%(first planting pattern: Acacia sp. + noble hardwood species) and 54% (second planting pattern: Acacia + Dipterocarpus sp. + Sindora sp.). The average profit per hectare and year is almost five times higher in the case of mixed stands. The first planting pattern reaches 2,650 $, the second planting pattern 2,280 $ and the pure acacia plantation only 460 $. From an economic point of view, the cultivation of mixed forests that corresponds to the principles of sustainable forestry generates a good economical profit while maintaining habitat complexity and biodiversity.

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Este libro desarrolla los conocimientos básicos de matemáticas para aprobar los exámenes de Edexcel IGCSE nivel de enseñanza secundaria. Los temas del libro son : índices y funciones logarítmicas (reglas de índices, escribir una expresión como logaritmo, leyes de los logaritmos), la función al cuadrado ( resolviendo ecuaciones al cuadrado), igualdades y desigualdades (dividiendo un polinomio), gráficos y funciones (usando gráficos de funciones para resolver ecuaciones, dibujando las curvas de las funciones) series (sumando los términos de una secuencia aritmética), usando vectores para describir la posición de un punto, cálculo, trigonometría (usando las reglas del seno y el coseno).

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The structural relaxation of pure amorphous silicon (a-Si) and hydrogenated amorphous silicon (a-Si:H) materials, that occurs during thermal annealing experiments, has been analyzed by Raman spectroscopy and differential scanning calorimetry. Unlike a-Si, the heat evolved from a-Si:H cannot be explained by relaxation of the Si-Si network strain but it reveals a derelaxation of the bond angle strain. Since the state of relaxation after annealing is very similar for pure and hydrogenated materials, our results give strong experimental support to the predicted configurational gap between a-Si and crystalline silicon

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This study investigates the relation between physical measurements of pure-tones, third-octave bands of noise and third-octave bands of speech and subjective judgments of auditory threshold, most-comfortable listening level (MCL) and uncomfortable-listening level (UCL) for three normally hearing listeners.

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This paper reviews a study to determine the relationship between a self-perceived hearing handicap index, pure-tone average and Articulation Index scores in an elderly population.

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This dissertation investigates discrimination between pure tones. Three questions were investigated: can listeners integrate frequency and duration information in the discrimination of pure tones; how does the discriminability of duration-frequency compounds relate to the discriminability of the changes in the individual dimensions; and how is the integration of these two dimensions affected by the parameters of the stimuli in which the changes in duration and frequency are introduced.

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Despite the potentially important role that water dimers may play in the Earth’s energy balance, there is still a lack of firm evidence for absorption of radiation by dimers in near-atmospheric conditions. We present results of the first high-resolution laboratory measurements of the water vapor continuum absorption within the 3100–4400 cm1 spectral region at a range of near-room temperatures. The analysis indicates a large contribution of dimer absorption to the water vapor continuum, significantly in excess of that predicted by other modern representations of the continuum. The temperature dependence agrees well with that expected for dimers.

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A series of in vitro studies was, conducted to determine the effects of adding a commercial enzyme product on the hydrolysis and fermentation of cellulose, xylan, and a mixture (1:1 wt/wt) of both. The enzyme product (Liquicell 2500, Specialty Enzymes and Biochemicals, Fresno, CA) was derived from Trichoderma reesei and contained mainly xylanase and cellulase activities. Addition of enzyme (0.5, 2.55 and 5.1 muL/g of DM) in the absence of ruminal fluid increased (P < 0.001) the release of reducing sugars from xylan and the mixture after 20 h of incubation at 20degreesC. Incubations with ruminal fluid showed that enzyme (0.5 and 2.55 muL/g of DM) increased (P < 0.05) the initial (up to 6 h) xylanase, endoglucanase, and beta-D-glucosidase activities in the liquid fraction by an average of 85%. Xylanase and endoglucanase activities in the solid fraction also were increased (P < 0.05) by enzyme addition, indicating an increase in fibrolytic activity due to ruminal microbes. Gas production over 96 h of incubation was determined using a gas pressure measurement technique. Incremental levels of enzyme increased (P < 0.05) the rate of gas production of all substrates, suggesting that fermentation of cellulose and xylan was enzyme-limited. However, adding the enzyme at levels higher than 2.55 muL/g of DM failed to further increase the rate of gas production, indicating that the maximal level of stimulation was already achieved at lower enzyme concentrations. It was concluded that enzymes enhanced the fermentation of cellulose and xylan by a combination of pre- and postincubation effects (i.e., an increase in the release of reducing sugars during the pretreatment phase and an increase in the hydrolytic activity of the liquid and solid fractions of the ruminal fluid), which was reflected in a higher rate of fermentation.