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When a function does not belong to such a space, the sampling series may converge, not to the object function but to an "alias" of it, and an aliasing error is said to occur.


This work is motivated from and useful in objectbased video coding, where a segmented moving object may have arbitrary shape and block transform coding of this object is needed.


Therefore, it should be an important step in developing a system for automated perspectiveindependent object recognition.


Our object in this article is to describe the Galerkin scheme and nonlinear Galerkin scheme for the approximation of nonlinear evolution equations, and to study the stability of these schemes.


The new optimality condition doesn't use Luderer's regularity assumption and its Lagrangian multipliers don't depend on the particular elements in the superdifferentials of the object function and constraint functions.

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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.  In this paper the logical structure of contactless telemechanical system for distributed objects is discussed. A simple method of variable system structure for transmitting and receiving telemechanical information is adopted. The idea is that the information occurred in every controlled point (station) and the information of some of those objects,which frequently change their states, are transmitted continually and cyclically, while for other objects their information is transmitted only after... In this paper the logical structure of contactless telemechanical system for distributed objects is discussed. A simple method of variable system structure for transmitting and receiving telemechanical information is adopted. The idea is that the information occurred in every controlled point (station) and the information of some of those objects,which frequently change their states, are transmitted continually and cyclically, while for other objects their information is transmitted only after any change in their states. Thus,the speed of operation will be increased, and also the error probability of system synchronization will be decreased. For the realization of the variable logical system structure, several blocks are used repetitively. For example, two commutators and one simple logical unit are used to construct a simple automatic sequential encoder, and at the same time, the two commutators are used also to operate as a matrix commutator for receiving telesignalling information etc. Therefore the system is comparatively simplified and attains a higher degree of "minimization".  本文研究了无触点集中分散目标远动系统的逻辑结构.文中提出了采用简单的系统变结构来发送和接收信息的逻辑结构方式.对被控制点及一部分比较重要或变化比较频繁的被控制目标的信息,保留了循环传送,而对大部分变化比较慢的被控制目标则采用目标有变化时才传送信号的方式,这样就提高了系统的平均动作速度,同时也减小系统的失步概率.文中采用环节的复合利用及简化的逻辑单元线路来实现这种系统的逻辑结构.例如用两个分配器和一个简单的逻辑单元“和”线路组成了很简化的选点自动程序编码器,同时这两个分配器又复合利用兼组成目标信号接收矩阵式分配器等,因而可以使得这种系统同时又具有较高的极简化度.  The principal object of this paper is to present a direct method of finding the elevation of the exposuae station and conseqently the tilt and the swing, if desired, of an aerial photograph. Since the elevation of the exposure station is found, the plumbline coordinate system can, in the sense of numerical calculation, be established however. The determination of the plumbline coordinate system, relating to three ground control points and their cooresponding images on the photograph, means a determination... The principal object of this paper is to present a direct method of finding the elevation of the exposuae station and conseqently the tilt and the swing, if desired, of an aerial photograph. Since the elevation of the exposure station is found, the plumbline coordinate system can, in the sense of numerical calculation, be established however. The determination of the plumbline coordinate system, relating to three ground control points and their cooresponding images on the photograph, means a determination of the position of the photograph in space. As can be seen the plumbline coordinate system is definitely independent of the swing of an aerial photograph, the swing is not necessary in solving the space resection problem as the classical procedure done.The treetment in this problem involves only simple computations and produces exceptionally accurate results, as indecated in a numerical calculation during the preparation of this paper. Owing to the impossibility of publishing the numerical example in whole length, only the final results are referred here for comparing:  本文的目的,在於推導出一直接的算學方法,以求空中攝影的高度,進而求出其像片的倾角;如有必須時也求出像片的旋角來,但在本文的理論推導過程中,過去一般認為要先解决旋角的問題,而後才能解決空間定位問题的歷史看法,已經完全修正;旋角並不是解决空間定位問題所必須的。因為攝影高度既經决定,我們可以建立一垂綫坐標系,與像片在空間的轉動無關。每一像點在此垂綫坐標系上的關係完全可以藉攝影高度的得知而決定;此種關係的決定即相當於像片在攝影瞬間的空間位置的决定。這對於無論是像片的糾正、製圖、交會定點都是非常有幫助的。本文所論的方法,經數字計算的結果,表明精度是很高的,而計算手續也是簡便的。由於避免篇幅過長故未將全部計算例引出,只在此地列出一結果以相比較:   << 更多相关文摘 
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