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This paper uses a conditional law of large numbers and a conditional central limit theorem to provide simplified asymptotic valuation formulas for credit derivatives on baskets, including synthetic and cash-flow CDOs. In particular, approximate pricing procedures are provided for synthetic and cash-flow CDOs. In the process, this paper also clarifies the relation between the "top-down" and "bottom-up" approaches for pricing credit derivatives.

This article establishes the mathematical model of automobile anti-lock braking system (ABS) in the Simulink environment and tracks the research and simulation of the ABS established mathematical model, which is based on the control module with the PID controller. From the simulation curve, we can verify automobile ABS with good braking performance and direction maneuverability.

The preparation process-dependent phase morphology of blends composed of nylon 6 and acrylonitrile-butadiene-styrene (ABS) over a composition range of 30-70 wt% using a styrene-maleic anhydride (SMA) copolymer as the compatibilizing agent with a constant content (5phr) was investigated. The results of the scanning electron microscope (SEM) observation revealed that compared with the binary blends of nylon 6 and ABS, the existence of SMA caused a composition shift of phase inversion to a higher weight fraction of nylon 6 when ABS was blended with the preblended nylon 6/SMA blend, while the co-continuous structures could be observed over a considerably narrower composition range when nylon 6 was blended with the pre-blended ABS/SMA blend. An examination through dynamic mechanical analysis (DMA) tests confirmed the results obtained with SEM. It is found that near the phase inversion region a remarkable change in the dynamic storage modulus (G′) and the loss tangent (tanδ) appears. Moreover, the influence of blending sequence on the size of dispersed particles has been probed for uncompatibilized and compatibilized blends of nylon 6 and ABS over a wide range of compositions below or beyond the phase inversion points. For the blends of ABS dispersed in a nylon 6 matrix, little discernible effects of blending sequence on particle size could be observed. Furthermore, there exists a significant difference in morphologies of the blends prepared by nylon 6 particles dispersing in a ABS matrix in cases of different blending sequences used. Some possible factors responsible for the above asymmetric behaviors have been proposed.

Polymer blends of a copolyester liquid crystalline polymer (LCP) and ABS were prepared by melt blending with a twin-screw extruder and the extrudate were obtained at different draw ratio. The morphology and mechanical properties of the extrudate were studied as functions of LCP content and draw ratio.

The mechanical properties (ultimate tensile strength and Young's modulus) of the LCP blends increased with both LCP content and the draw ratio, whereas those of the ABS extrudate was not influenced by draw ratio. It indicated that the mechanical property enhancement in the blends was due to the change of LCP structure. The morphology study revealed that at a given LCP concentration, the L/D ratio of the LCP fibrils increased with draw ratio. At higher LCP concentrations, the LCP fibril diameter increased at a given draw ratio, due to coalescence of LCP fibrils.

This study showed that hot drawing was an effective way to promote the LCP fibrillation in LCP-based polymer blends and extensional stress was responsible for the fibril formation.

To tackle the problem of inadequate rotor toughness in the event of a crash, scrapped rubber powder (NBR) was proposed for the modification and strengthening of Acrylonitrile butadiene styrene (ABS) resin. The results demonstrated that NBR colloidal particles increased the impact strength of ABS resin. In addition, CPE could be employed to improve the compatibilization of the composite system. The best proportion of the composite material was determined to be ABS:NBR:CPE=100:20:15, which satisfies the requirements of an integrally-formed elastic rotor material for elastic rotor guardrails.

Three Acrylonitrile-Butadiene-Styrene (ABS) resins with different marks used to manufacture ABS/MCPA6 copolymer alloys by in situ polymerization. The influence of reaction between MCPA6 and ABS and the contents of butadiene soft segment on MCPA6/ABS alloy's mechanical properties was also discussed. FTIR analysis indicates: By alkaline hydrolysis, Nitrile groupings existed in ABS plays a role in situ polymerization. Absorption peaks of the amide 6 groupings are obviously strengthened, and with the increase of the butadiene content, their characteristic absorption peaks gradually move to low waves. Mechanical properties analysis indicates that ABS enhances the MCPA6's toughness. When the contents of ABS749S, ABS750 and ABS757 are respectively 5%, 7.5% and 10%, namely when that of the butadiene soft segment is 0.9%, the alloys own the strongest impact strength, having 57.5%, 56.2% and 17.8% increase compared to the MCPA6, while all alloys' tensile strength decline.