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     THE SPACE La(D,ф,dm)
     La(D,ф,dm)—空间
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     Growth of CeO_2:Bi_12SiO_20 Crystals in Multi-Position Furnace(Ⅱ)- Space Growth Experiment
     在多工位炉上CeO_2:Bi_(12)SiO_(20)单晶生长的研究(Ⅱ)——空间生长实验部分
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     A NOTE ON (LF) - SPACES OF TYPE (M0)
     关于(M_0)型(LF)—空间的注记
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     Thus a good exploration into Gittings' theorem on the inverse image of Mi-space(i= 1,2,3)is made by the author.
     从而对 Gittings 关于 Mi—空间(i=1,2,3)逆象定理作了探讨。
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     On the Seperability of S_i-Topological Spaces
     关于S_i—空间的分离性
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  相似匹配句对
     SPACE
     空间
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     Notes on Generalized Q Spaces
     推广的Q空间
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     STRONG S-CLOSED SPACES
     强S空间
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     n—Normed Spaces
     ~n赋范空间
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  - space
We consider actions of compact real Lie GroupsK on complex spacesX such that the associated reducedK-space admits a semistable quotient, e.g.X is a Stein space.
      
Sharp constants for function-space inequalities over a manifold encode information about the geometric structure of the manifold.
      
As a strengthening of the conjecture we show that for an f ∈ L2(?n) its Wigner distribution has a support of measure 0 or ∞ in any half-space of ?2n.
      
Spatial soliton solutions of a class of generalized nonlinear Schr?dinger equations in N-space are discussed analytically and numerically.
      
This achieved using a traveling wave method to formulate one-soliton solution and the P-R method is employed to the numerical solutions and the interactions between the solitons for the generalized nonlinear systems in 2-space.
      
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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 n-dimentional 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 n-dimentional 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 dif-ferential equations with integral quadratic functional criterion is investigated in detail.Further, in the second part the fundamental properties of isoloss regions, the rela-tions between the isoloss region and optimal control functions are indicated. As a direct result a partial differential equation determining the optimal loss-function 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 me-thods 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.

By using elementary methods of Riemannian Geometry the Friedmann universe can be derived under the following rive postulates: (1) The space-time is Riemannian. (2) Einstein's field equations hold. (3) Matter and radiation in the universe are in a state of thermal equilibrium. (4) The world lines of all 'nebulae converge toward the past. (5) The null geodesies are preserved unfler an infinitesimal transformation of space-time along the temporal axis. It is obvious that the isotropic and homogeneous properties...

By using elementary methods of Riemannian Geometry the Friedmann universe can be derived under the following rive postulates: (1) The space-time is Riemannian. (2) Einstein's field equations hold. (3) Matter and radiation in the universe are in a state of thermal equilibrium. (4) The world lines of all 'nebulae converge toward the past. (5) The null geodesies are preserved unfler an infinitesimal transformation of space-time along the temporal axis. It is obvious that the isotropic and homogeneous properties of space-time then follow as a necessary consequence.

根据五个假定,即(1)空时间为利曼四度空间,(2)安世坦的引力定律,(3)宇宙中的物质与辐身成一温度平衡状态,(4)所有空时间中旋转星云的世界线在过去曾相交叉,(5)空时间在时的方向经一无限小变换之后光子的零短程线仍为零短程线,本文用利曼几何的简易方法求得相对论宇宙论中的费烈特猛宇宙。

By replacing the fifth postulate in the preceding paper with the condition of spherical symmetry of space we again obtain the Friedmann universe in relativistic cosmology.

将前文中第五个假定改为“空间具球面的对称性”后我们仍遵出费烈特猛宇宙。

 
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