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The information loss of the estimate and a limit theorem connected with the observed and expected Fisher informations are obtained in terms of the curvatures.


In this paper, we consider the evolution of a soliton when dissipative loss exists.


Efron and Amari presented a Riemannian geometric framework for curved exponential families and studied the information loss and the variance of the estimate using this framework.


In this paper,the variable cofficient KdV equation with dissipative loss and nonuniformity terms and the variable coefficient SG equation with nonuniformity term are studied.


By asing the nonclassical method of symmetry reductions, the exact solutions for general variablecoefficient KdV equation with dissipative loss and nonuniformity terms are obtained.

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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 the... 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.  Two types of optimalizing control systems are analyzed and compared under random interferences. By means of approximation, the expectation values of hunting loss are calculated.  本文利用近似法求出两种极值調节系統在随机干扰影响下搜索損耗的数学期望,因而可以在具体条件下比較两种調节器的优缺点。在正态平稳随机干扰下,相关搜索法对較强的輸入端干扰是适宜的;反之,在較弱的輸入端干扰时,一般步进搜索法比較有利。計算結果也給出了在各种干扰强度下步进法的最佳步长及相关法的最佳搜索信号振幅,这些都是調节器的重要参数。  The oxalate and calcium contents of 16 different eatables were determined. In spinach the oxalate was found principally in the leaves, being about 4 times that of the stem and 12 times that of the root. Pomegranate had a high content of oxalate and a very low content of calcium. Red amaranth and green tea (dry) were also high in oxalate but both had a much higher content of cakium than spinach. The previously reported high oxahte contents of bamboo shoots and water bamboo were confirmed. Ordinary boiling method... The oxalate and calcium contents of 16 different eatables were determined. In spinach the oxalate was found principally in the leaves, being about 4 times that of the stem and 12 times that of the root. Pomegranate had a high content of oxalate and a very low content of calcium. Red amaranth and green tea (dry) were also high in oxalate but both had a much higher content of cakium than spinach. The previously reported high oxahte contents of bamboo shoots and water bamboo were confirmed. Ordinary boiling method did not influence the oxalate content and the calcium content of the 4 vegetables studied. But in proportion more oxalate remained in the soup than in the cooked vegetable, while less calcium remained in soup than in the cooked vegetable. Ordinary method of frying of the 4 different vegetables caused a loss of about 12％(averaged value) of the oxalate with no change in calcium content: Hightemperature shorttime frying in oil (320℃) caused a loss of 22％ of oxalate in spinach.  菠荣中草酸的分佈,極大部分存在葉內,其含量比莖約高4倍,比根約高12倍。 紅莧菜(水分89％)及龍井綠茶(水分8.2％)的草酸含量,約舆菠菜(水分89.5％)相等,但鈣量則比菠菜約多3—4倍。薺菜和苜蓿含鈣甚高而草酸很低。石榴含草酸特高而鈣極低。其他水果如熟柿子、袖子、橘子、香蕉、蘋果合草酸均少。普通煑法對於所分析四種蔬菜中的草酸及鈣含量,無甚改變。草酸在菜湯中均比熟菜多,而鈣在菜湯內均比熟菜少。以上四種蔬菜經炒過後,對於鈣量並無影響,但草酸有顯著的減低,平均約損失12％左右。   << 更多相关文摘 
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