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In the early 1960s research into radar signal synthesis produced important formulas describing the action of the twodimensional Fourier transform on auto and crossambiguity surfaces.


Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion


The Design and Synthesis of a Novel, Orally Active, Selective ETA Antagonist


Synthesis and Cytotoxic Activity of 6(SubstitutedPhenyl)Amino5,8Quinazolinediones


Design, Synthesis and Growth Inhibition Activity of BisEpoxyethyl Derivatives of Stallimycin Modified on the Amidino Moiety

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 In this paper the general synthesis problem of optimal control systems with the criterion of transient responses as a positive integral functional (3) is discussed.In the first part it is assumed that the motion of controlled object is described by a system of ordinary differential equations and that the final states of the system form a bounded and closed convex region in ndimentional euclidian phase space. A method is proposed for finding all optimal control functions which lead any starting state into... In this paper the general synthesis problem of optimal control systems with the criterion of transient responses as a positive integral functional (3) is discussed.In the first part it is assumed that the motion of controlled object is described by a system of ordinary differential equations and that the final states of the system form a bounded and closed convex region in ndimentional euclidian phase space. A method is proposed for finding all optimal control functions which lead any starting state into the given final region of states. Some conclusions are obtained from the maximum principle by using transversal conditions of optimal trajectories in terminal points, and the particular properties of the stated problem are pointed out. The case of linear differential equations with integral quadratic functional criterion is investigated in detail.Further, in the second part the fundamental properties of isoloss regions, the relations between the isoloss region and optimal control functions are indicated. As a direct result a partial differential equation determining the optimal lossfunction J (x) is found and the connection between function J (x)and optimal vector control function u (x) is also stated. The methods proposed are practically the extension of the methods used by us for designing time optimal control systems as seen in [5, 6 ,7].Finally, an example is illustrated with optimal trajectories shown in phase plane.The necessary numerical data is calculated by an analog computer with high accuracy.  文中研究了具有公式(3)表示的一般正积分泛函的最优控制系统的综合问题.在第一部分中研究了具有控制参数的一阶微分方程组.控制系统的终点状态为n维相空间内的某一逐段光滑边界的闭性区域Ω.文中指出了根据极大值原理和轨道终点的横截条件寻找引到Ω的所有最优轨迹的方法.这里详细地研究了具有二次泛函和被积函数中不明显含有控制参数的质量指标泛函的线性方程情况.在文中第二部分研究了等损耗区的主要特性.指出了等损耗区与最优控制函数之间的关系.导出了求算最优损耗函数J(x)的偏微分方程,以及这一函数与最优控制函数u(x)的关系.上述方法是我们曾在文献[5,6,7]中用过的最优快速系统的综合方法的推广.文章最后举有例证.  A newly developed synthesis of Xray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μsummation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its... A newly developed synthesis of Xray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μsummation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two component structures. The crystal NaCl is next studied, using the actual experimental data. It is shown that on the basis of exactly the same experimental data the inormation given by the two types of syntheses are entirely different. Conclusions about the method drawn in the previous articles are then discussed in the light of the new studies and approved once more.  作者曾在英国自然界发表渠所建立之棋式X光综合新法之大意。一时引起欧美同行兴趣及讨论。其中有表兴趣者,有对此新法是否比通用之符礼式综合法更为有用致疑。本文即将新旧二法应用於自然及理想晶体。比较其结果之优劣。此外并对新法之三种数学特性加以介绍。  A new method for the synthesis of polyene acids has been described.This consists of the condensation of crotonic ester or sorbic ester with suitable alde hydes,followed by hydrolysis.Thus a C4 or C6 side chain with conjugated double bonds can be introduced in a single step.Condensation of methyl cro tonate with benzaldehyde and with furfural in the presence of alcoholfree sodium methoxide gives,after hydrolysis,cisδphenyl△~(αγ)pentadienoic acid(m.p.137.5 138°)and cis δ2furan△~(αγ)pentadienoic... A new method for the synthesis of polyene acids has been described.This consists of the condensation of crotonic ester or sorbic ester with suitable alde hydes,followed by hydrolysis.Thus a C4 or C6 side chain with conjugated double bonds can be introduced in a single step.Condensation of methyl cro tonate with benzaldehyde and with furfural in the presence of alcoholfree sodium methoxide gives,after hydrolysis,cisδphenyl△~(αγ)pentadienoic acid(m.p.137.5 138°)and cis δ2furan△~(αγ)pentadienoic acid(m.p.109111°)respectively;while condensation of methyl crotonate with anisaldehyde under the same conditions gives a mixture which has been separated into two components:cisδpmethoxy phenyl△~(αγ)pentadienoic acid(m.p.115118°)and its transisomer(m.p.180°, to liquid crystals and 220221°,to clear liquid).All the above cisacids have been converted without difficulty into the corresponding transacids. Condensation of sorbic ester with benzaldehyde in the presence of alcohol free potassium methoxide gives,after hydrolysis,7phenylheptatrienoic acid(m. p.189190°,to liquid crystals and 199°,to clear liquid).  本文叙述了一种综合多烯酸的方法:将α丁烯酸酯或α,γ己间二烯酸酯与适当的醛缩合,再进行水解。这样,仅用一个步骤便可引进四个或六个碳原子的共轭双键的侧链。丁烯酸甲酯与苯甲醛或糠醛在去醇的甲氧基钠影响下缩合,得到顺δ苯基戊间二烯酸(熔点137.5—138°)或顺δ2呋喃α,γ戊间二烯酸(熔点109—111°);同样情形,α丁烯酸甲酯与对甲氧基苯甲醛缩合时得出顺δ对甲氧基苯α,γ戊间二烯酸(熔点115—118°)及其反式的几何异构体(熔点:180°熔为液晶,220—221°熔为透明液体)。所有上述的顺式酸用汞弧光灯照射后,可全部转变为其相应的反式酸。α,γ己间二烯酸甲酯与苯甲醛在去醇的甲氧基钾影响下缩合,水解后得到7苯基庚间三烯酸(熔点:189—190°熔为液晶,199°熔为透明液体)。   << 更多相关文摘 
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