1,722,365 research outputs found

    Development of a Hanguel LISP

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    Quasi-definiteness of generalized Uvarov transforms of moment functionals

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    When σ is a quasi-definite moment functional with themonic orthogonal polynomial system {Pn (x)}n=0=0, we consider a point masses perturbation τ of σ given by τ: = σ + λ Σ l=1 Σk=0 ((- 1)ulk/k!) δ (x-cl), where λ, ulk, and cl areconstants with ci ≠ cj for i ≠ j. That is, τ is a generalized Uvarov transform of σ satisfying A (x) τ = A (x) σ, where A (x) = ∏ l = 1 (x - cl)1. We find necessary and sufficient conditions for τ to be quasi-definite. We also discuss various properties of monic orthogonal polynomial system {Rn (x)}n=0 relative to τ including two examples

    In-situ IR studies of surface species during the selective catalytic reduction (SCR) of NO by propene over Cu-ZSM-5 zeolites

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    The intermediate formed during the SCR of NO by propene over Cu-ZSM-5 were identified and their activities were measured using FTIR. The band at 1624 cm(-1) assigned to NO2 species adsorbed on Cu(II) was observed after exposing Cu-ZSM-5 to NO or NO and O-2 at 350 degrees C. The band al 2250 cm(-1) assigned to -CN and/or -NCO species was observed during the SCR at 350 degrees C. The NO2 species adsorbed on Cu ions was reduced to produce Nz by the reaction with propene. When -NCO was exposed to NO and O-2 at 400 degrees C, the rate of formation of the band at 1624 cm(-1) was much faster than that of decrease of the band at 2250 cm(-1), indicating that the site for NO2 formation is different from the site occupied by -NCO. The -NCO identified by the band at 2250 cm(-1) was involved in the slow catalytic cycle, while the NO2 species was involved in the fast catalytic cycle

    Smooth boundary topology optimisation applied to an electrostatic actuator

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    Smooth boundary topology optimisation in conjunction with the continuum design sensitivity analysis avoids many of the problems encountered by conventional cell-based systems coupled with material homogenisation or the density method. Shape optimisation becomes part of topology optimisation. The effectiveness of the proposed method is demonstrated through the design of an electrostatic MEMS actuator to generate maximum torque for a predefined maximum size (area)
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