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设 f是Rn 中的单位球面Ωn(n 2 )上的可积函数 , F :={ ψ :| ψ|单调趋于零 ∑∞k=1(Δλψ(k) )kλ- 1logk<∞ } Lψ(Ωn) :={ f∈L(Ωn) : φ∈L(Ωn) ,SF-L(φ) (x) =∑∞k =11ψ(k) Yk(f) (x) }其中SF-L(φ)表示 φ∈L(Ωn)且 φ具有零平均 (记作 φ∈L0 (Ωn) )的Fourier Laplace级数。得到了若 ψ ∈F ,则 f∈Lψ ,有 :f =Y0 (f) + φ Dψ 其中 φ ∈L0 (Ωn) ,∑∞k =1ψ(k)cn ,kPnk(ξ·η)是Dψ(ξ·η) ∈L(Ωn) ,且SF-L(φ)表示 φ ∈L(Ωn) ,φ具有零平均的Fourier Laplace级数。 相似文献
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Following the work on gas lift reactor (Pachuca tank) for gas-liquid-suspended solid 3-phase reaction,multideck gas lift reactors have been developed.This type of reactor has many unique advantages suchas realization of counter-current operation between gas and slurry,reduction of gas consumption and lower-ing of the amount of volatile components of the liquid which has to be recovered from the exit gas.The stability of the overflow tube of the reactor was studied.A semiempirical equation was derived tocalculate the flooding point of the reactor.The operating range of the overflow tube was also deter-mined.This multideck reactor has been operated successfully in a pilot plant of ammonia leaching of copperore.Results agree reasonably well with those predicted from small scale batch experiments.The extractionof vanadium from soda roasted steel slag in a 5-deck reactor with carbon dioxide in the gas phase wasalso satisfactory.Experimental results obtained from the continuous flow 5-deck reactor and those calcu-lated from batch experimental data with CSTR model were in agreement. 相似文献
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加细方程在小波的构造中起着非常重要的作用。本文基于定义在二维平面上的矩阵加细方程及二维伸缩与平移算子理论构造出有限区域上的多分辨分析及二维多小波基。最后给出构造算例。 相似文献
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本文就单细胞蛋白生产技术的现状作一简要的介绍,包括原料来源、生产规模、使用的微生物、产品的产量及质量管理等,并对现行的生产工艺流程及主体设备作了介绍。 相似文献
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The characteristics of a staged bubble column can be described by a multi-stage backmixing model,provided: (1) Each stage can be considered as a perfect mixing reactor,and (2) The backmixing coeffi-cients do not vary with time and reactant concentrations.Experimental results indicate that the first conditionis approached under certain conditions,while the second assumption is correct.Studies were made using steady state chemical tracer method to determine the backmixing coefficientsof each plate between stages.The fluid flow through the holes of perforatcd plates is a stochastic process.From the statistical point,the experimental data could be correlated by semicmpirical equation developed.This equation can also be used to correlate the data reported by Nishiwaki for bubble column with plateshaving high percentage of opening area and large size holes between stages.Continuous oxidation of unsaturated sulfur compounds (mainly in the form of thiosulfatc and also somein polythionate form) in nickel ammonium carbonate solution were carried out in bubble columns with heightof 3400mm and diameters of 36 mm and 100mm respectively.The oxidation has to be taken in a multistagebubble column for high degree of oxidation.The axial concentration of unsaturated sulfur compoundsalong a multi-stage bubble column can be calculated from the backmixing model and the kinetic equationof oxidation.Results of calculation agree with the data taken along the column height.Equation was alsodeveloped to calculate the optimum temperatures of oxidation which agree favorably with the experimentalresults. 相似文献