61 resultados para Zeros of orthogonal polynomials


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It is well known that the storage capacity may be large if all memory patterns are orthogonal to each other. In this paper, a clear description is given about the relation between the dimension N and the maximal number of orthogonal vectors with components +/-1, and also the conception of attractive index is proposed to estimate the basin of attraction. Theoretic analysis and computer simulation show that each memory pattern's basin of attraction contains at least one Hamming ball when the storage capacity is less than 0.33N which is better than usual 0.15 N.

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In this paper, the comparison of orthogonal descriptors and Leaps-and-Bounds regression analysis is performed. The results obtained by using orthogonal descriptors are better than that obtained by using Leaps-and-Bounds regression for the data set of nitrobenzenes used in this study. Leaps-and-Bounds regression can be used effectively for selection of variables in quantitative structure-activity/property relationship(QSAR/QSPR) studies. Consequently, orthogonalisation of descriptors is also a good method for variable selection for studies on QSAR/QSPR.

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The present work is first reporting the hemolytic activity of venom from jellyfish Rhopilema esculentum Kishinouye extracted by different phosphate buffer solutions and incubated at different temperature according to the orthogonal test L6(1) x 3(6). Of the seven controllable independent variables, incubated temperature and phenylmethylsulfonyl fluoride (PMSF) had strongest effect on the hemolytic activity. (c) 2006 Elsevier B.V. All rights reserved.

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The interaction of arbitrarily distributed penny-shaped cracks in three-dimensional solids is analyzed in this paper. Using oblate spheroidal coordinates and displacement functions, an analytic method is developed in which the opening and the sliding displacements on each crack surface are taken as the basic unknown functions. The basic unknown functions can be expanded in series of Legendre polynomials with unknown coefficients. Based on superposition technique, a set of governing equations for the unknown coefficients are formulated from the traction free conditions on each crack surface. The boundary collocation procedure and the average method for crack-surface tractions are used for solving the governing equations. The solution can be obtained for quite closely located cracks. Numerical examples are given for several crack problems. By comparing the present results with other existing results, one can conclude that the present method provides a direct and efficient approach to deal with three-dimensional solids containing multiple cracks.

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The model and analysis of the cantilever beam adhesion problem under the action of electrostatic force are given. Owing to the nonlinearity of electrostatic force, the analytical solution for this kind of problem is not available. In this paper, a systematic method of generating polynomials which are the exact beamsolutions of the loads with different distributions is provided. The polynomials are used to approximate the beam displacement due to electrostatic force. The equilibrium equation offers an answer to how the beam deforms but no information about the unstuck length. The derivative of the functional with respect to the unstuck length offers such information. But to compute the functional it is necessary to know the beam deformation. So the problem is iteratively solved until the results are converged. Galerkin and Newton-Raphson methods are used to solve this nonlinear problem. The effects of dielectric layer thickness and electrostatic voltage on the cantilever beamstiction are studied.The method provided in this paper exhibits good convergence. For the adhesion problem of cantilever beam without electrostatic voltage, the analytical solution is available and is also exactly matched by the computational results given by the method presented in this paper.

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We analyze mutual alignment errors due to wave-front aberrations. To solve the central obscured problem, we introduce modified Zernike polynomials, which are a set of complete orthogonal polynomials. It is found that different aberrations have different effects on mutual alignment errors. Some aberrations influence only the line of sight, while some aberrations influence both the line of sight and the intensity distributions. (c) 2005 Optical Society of America

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We present a class of indecomposable polynomials of non prime-power degree over the finite field of two elements which are permutation polynomials on infinitely many finite extensions of the field. The associated geometric monodromy groups are the simple ...

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The dynamic process of the ionic valence changing from Eu~(2+) to Eu~(3+) in EuF_2 at high temperature has been investigated by ESCA, high,temperature X-ray diffraction, high temperature spectrum, high temperature magnetic Isusceptibility and Mssbauer spectrum. It has been shown that the formed Eu~(3+) exists in different compounds when EuF_2 is heated to high temperature in different atmospheres. In air, Eu~(3+) exists in the form of hexagonal EuOF, in nitrogen, in the form of orthogonal EuF_3 and non-hexa...

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The generalized Shmuely Difference Algorithm (GSDA) is presented here to analyze the dynamic fracture performance of orthogonal-anisotropic composite materials, such as glass fibre reinforced phenolplast. The difference recurrence Formulae and boundary condition difference extrapolation formulae are derived and programmed. The dynamic stress intensity factors (DSIF) of the isotropic and anisotropic centrally cracked plates are computed respectively using GSDA and compared with that published previously. GSDA is proved effective and reliable. Copyright (C) 1996 Elsevier Science Ltd.

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酸化油是油脂工业中以皂脚、油脚经酸化处理得到的产品。它的主要成分是游离脂肪酸及中性油,是生产脂肪酸的重要原料,但生产过程中有水解废水的产生,若将其直接排放,既污染了环境又浪费了资源。生物柴油的主要成分是脂肪酸甲酯(fatty acid methyl ester,FAME)。它具有原料丰富而且可再生、可生物降解、无毒、不含芳香烃、二氧化硫等污染物、燃烧排放低、闪点高、运输储存安全等特点。作为石化柴油的潜在替代能源,生物柴油因其独特的优越性和现实的需求越来越受到关注。利用酸化油生产生物柴油不仅可以缓解生物柴油原料不足问题,还可解决酸化油所带来的环境问题。


The convertion of acid oil to biodiesel by use of immobilized Candida lipase absorbed on textile cloth was studied in a fixed bed reactor, which can not only reduce the environmental pollution of acid oil, but also produce a substitute for petroleum diesel. The acid oil mixed with methanol was pumped into three fixed bed reactors in series, and the methanol was added with the molar flow rate same as the acid oil in each reactor. The effects of enzyme content, solvent content, water content, flow rate of reactant and temperature on the enzymatic reaction were analyzed. The result of orthogonal experiments indicates that the optimal transesterification can be performed under the following conditions: immobilized lipase content in acid oil, 20% ; hexane content in acid oil, 10% ; water content in acid oil, 10%, reaction temperature, 50 ℃ ; and flow rate of reactant, 0.08 g/rain. Under these conditions, the FAME content of 90.18% in the product is obtained. The immobilized lipase can be reused with relatively stable activity after glycerol being removed from the surface. By refining, most of the chemical and physical properties of biodiesel will meet the American and Germany biodiesel standards and exceed the Chinese standard of 0^# petroleum diesel except for carbon residue, density and kinematic viscosity.

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Baeyer-Villiger氧化反应是一种很重要的化学反应,产生的许多中间体或产物可以被用来生产多种化学产品和药物。此反应具有多功能性,可以氧化多种羰基化合物,但是化学方法中的必需反应物——氧化剂在生产、储存、运输、反应的过程中都存在很多的不安全因素,反应的立体选择性也不强,而生物转化则具有底物选择性、立构选择性、化学选择性、对映选择性等一般化学反应中不具备的优点,在精细化工中占有很大的优势。在工业生物催化中有很好的应用前景。 为了研究生物催化的Baeyer-Villiger反应,我们从本实验室保藏菌种中分离筛选出一株能够以环己酮作为唯一碳源的菌株,进行初步研究并对其产物进行GC/MS定性,探讨了pH,装液量,底物浓度,培养时间,温度以及转速等条件对细菌生长的影响,并进一步研究了细菌的底物广谱性。 此菌株经鉴定属于邻单胞菌属Plesiomonas sp.), 根据正交试验,确定了菌的最佳生长条件:底物浓度为1mL/L,底物浓度过高对菌株生长有抑制作用,转速为150 rpm ,温度为30℃ ,pH为7.0; 此菌株转化环己酮的产物通过GC/MS检测含有内酯,表明此菌株能够催化Baeyer-Villiger氧化反应;此菌株还能够以与环己酮有相似结构的环己烷,环戊酮等作为唯一碳源生长,说明此菌株底物利用范围比较广,用途比较广泛。 Baeyer-Villiger oxidation is an important chemical conversion, its products and intermediates can be used to produce a lot of medicine and fine chemicals. Its success is largely due to its versatility: a variety of carbonyl compounds can be oxidized, a large number of functional groups are tolerated, the regiochemistry is highly predictable and so on, but the oxidants that the traditional chemistry way needs have a number of problem in their production, storage, transportation and reaction, Chemistry way has not a high stereochemistry yet. However, biotransformations have many attractive characters, such as substrate-, stereo-, chemo- and enantioselectivity, so it has a great advantage in the fine chemical industry and has a bright prospect in the industrial biological catalysis. In order to study Baeyer-Villiger oxidation, we isolated a strain which can utilize cyclohexanone as sole carbon source and had a primary research on it. Its product was identified by GC/MS. Effects of pH, volume, concentration of cyclohexanone, cultivating time, temperature and rotate speed on the growth of bacteria were discussed, and the other organic substrates were also studied. The strain was identified as Plesiomonas sp.. The result of orthogonal test made it sure that the best growth condition of the strain is: rotate speed 150 rpm, temperature 30℃, pH7.0, concentration of cyclohexanone1ml/L. There is caprolactone in the product of the fermentation with cyclohexanone as substrate by GC/MS,which indicated that the strain can catalyse Baeyer-Villiger oxidation.In addition,the strain can utilize other organic substrates having the similar structure with cyclohexanone such as cyclohexane, cyclopentanone, Swertiamarin as sole carbon source.So the strain can be applied extentively.

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在旱棚控制条件下 ,用五因素五水平二次回归正交旋转组合设计 ,研究了水肥施用分配 ,补水量 ,施N量 ,施K量 ,有机肥施用量的综合作用效应 .结果表明 ,五因素对肥料N利用率的作用顺序为施N量 >补水量>水肥施用分配 >有机肥施用量 >施K量 .水肥施用分配相对于不同水、化肥 (N、K )、有机肥量的选择 ,可以大大地提高肥料N利用率 ;量少应重前施用 ,量多重后施或均施为好 .补水量与施N量的耦合规律为 :高水高肥效果最佳 ,肥料N利用率可达 5 7 83 % ,中水中N及低水低N次之 ,为 2 9 17%~ 40 99% ;高水低N或低水高N导致最低的利用率 ,为 2 2 87%或 2 2 5 1%

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为了实现定位抓取任务,提出基于网络的直角坐标机器人视觉控制系统。针对机器人运动控制的非线性与强耦合特性,采用神经网络控制器,构建了图像偏差与运动控制量之间的对应关系。通过对图像增强、边缘提取、特征提取等图像处理方法的综合分析,提出了一套优化组合图像处理法。在计算机网络环境下,采用自定义协议实现图像处理器与运动控制器协调控制,并将远程监控应用到机器人控制中。实验结果表明,该系统能够在视野范围内自动实现定位抓取动作。