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点邻域
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  small neighborhood
     An overview is given to the exact linearization theory, then the approximate linearization methods based on the equilibrium manifolds and the approximate linearization in a small neighborhood of the equilibrium are discussed. The input-output approximate linearization approaches can overcome some difficulties encountered in the designing problems for non-minimum phase or uncontrollable nonlinear systems.
     回顾了精确线性化方法及目前存在的主要问题,讨论了基于平衡流型和工作点邻域的状态方程近似线性化问题,研究了输入输出近似线性化在处理非最小相位或不可控非线性问题时的作用。
短句来源
  a small neighborhood
     An overview is given to the exact linearization theory, then the approximate linearization methods based on the equilibrium manifolds and the approximate linearization in a small neighborhood of the equilibrium are discussed. The input-output approximate linearization approaches can overcome some difficulties encountered in the designing problems for non-minimum phase or uncontrollable nonlinear systems.
     回顾了精确线性化方法及目前存在的主要问题,讨论了基于平衡流型和工作点邻域的状态方程近似线性化问题,研究了输入输出近似线性化在处理非最小相位或不可控非线性问题时的作用。
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  “点邻域”译为未确定词的双语例句
     Study and Application of Neighbourhood Shape of Points on Ring Surface
     环面点邻域形状的研究与应用
短句来源
     First, nonlinear stack filter is applied to estimate the maximum and minimum of noise-free image's gray scale value in a local region.
     首先非线性堆滤波器用于求出图象某象素点邻域内的灰度最大值与最小值的最优估计,然后以此两估计值之差代替原象素点灰度值。
短句来源
     The stability near the equilibrium point was discussed by solving the Floquet exponent and the critical condition is obtained by using Melnikov function.
     通过求Floquet指数讨论平衡点邻域的稳定性,用复变函数留数理论求出Melnikov函数,可得到该动力学系统发生混沌运动的临界条件.
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     We analyze the dynamics in the vicinity of a jump point of the slow manifold and consider the relationship between singular cycle and the limit cycles of systems as ρ→0.
     v′=ρ(2u-v)其中0<ρ<<1,(u,v)∈R~2。 的周期解,使用Dumortier和Roussarie创立的blow—up方法分析方程在慢流形跳跃点邻域内的情况,进而得到当ρ→0时此方程极限环与奇异周期轨线的关系。
短句来源
     An adaptive smooth filter is proposed for image processing. It has two characters:(1)The output of the filter is regarded as the cluster center of nearby data.
     提出了一种新的用于图像平滑处理的滤波器自适应聚类滤波.它具有以下特点:(1)滤波器对像素点邻域内的灰度进行聚类,将聚类中心作为滤波器的输出;
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  相似匹配句对
     The First Order Phase Transition of the Neighborhood of Homoclinic Tangency Point
     同宿相切邻域的一级相变
短句来源
     Discussion of Adjacent Area Between Point and Point Throngh Examples
     例说邻域
短句来源
     The problems about grain are paid more and more close attention to the Wholeworld.
     问题。
短句来源
     MATCH POINT
     满贯赛
短句来源
     NEIGHBORHOOD COMPLEIES OF TREES
     树的邻域复形
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  vertex neighborhood
To preserve the quadratic mesh structure, the vertex neighborhood is restricted to horizontal and vertical neighbors for interpolation.
      
  small neighborhood
The present case is distinguished by the structure of the free interaction region in a small neighborhood of the point of zero surface friction stress.
      
The relationship between the maximum relative body thickness and the rearend shape giving a local boundary layer - potential flow interaction zone in a small neighborhood of the rear end is found.
      
In a small neighborhood of this cross-section interaction between the boundary layer flow and the external irrotational stream develops.
      
For points in a sufficiently small neighborhood of a closed weakly convex subset in Hubert space, we prove that the metric projection on this set exists and is unique.
      
As a rule, the spectrum for such vortices is not a standard band spectrum and forms a set such that a forbidden energy value can be found in any small neighborhood of an allowed value, and vice versa.
      
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  a small neighborhood
The present case is distinguished by the structure of the free interaction region in a small neighborhood of the point of zero surface friction stress.
      
The relationship between the maximum relative body thickness and the rearend shape giving a local boundary layer - potential flow interaction zone in a small neighborhood of the rear end is found.
      
In a small neighborhood of this cross-section interaction between the boundary layer flow and the external irrotational stream develops.
      
Neutrino spin-up of the mantle can strongly affect the mechanism of further generation of the toroidal field, specifically, it can enhance the field in a small neighborhood of the rigid-body-rotating core of the progenitor star.
      
We studied an individual oscillator with dynamical traps located in a small neighborhood of the x axis of the phase plane {x, v = dx/dt}.
      
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A general program using finite-difference method is written to calculate the flow field of supersonic axisymmetric nose inlet. This program is suitable to the direct problem of aerodynamic design of inlets e. g. pitot-type, single-cone, bicone, triple-cone and isentropic cone etc. Since "seperation singularity" difference method and implicit-explicit difference scheme are adopted in the calculation of inviscid flow field in the inlet, results of calculation are obtained with second order accuracy at boundary...

A general program using finite-difference method is written to calculate the flow field of supersonic axisymmetric nose inlet. This program is suitable to the direct problem of aerodynamic design of inlets e. g. pitot-type, single-cone, bicone, triple-cone and isentropic cone etc. Since "seperation singularity" difference method and implicit-explicit difference scheme are adopted in the calculation of inviscid flow field in the inlet, results of calculation are obtained with second order accuracy at boundary points and internal points, as well as near singular points. This program can offer required internal and external flow characteristics of inlets.Numerical results for five examples are in satisfactory agreement with corresponding results obtained from the method of characteristics and experimental data.

为了计算超音速轴对称头部进气道的流场,采用有限差分法编制了一个通用计算程序。该程序适用于皮托式、单锥、双锥、三锥、等熵锥等各种进气道的正问题气动设计。由于在进气道无粘流场计算中,采用了分离奇性的差分方法及混合使用显、隐差分格式,所以在边界点和内点及奇点邻域,计算结果均达到二级精度。程序可瑜出所需要的进气道各内流特性及外流特性。 文中列生了五个计算实例,并与特征线法计算结果和实验结果作了比较。符合程度令人满意。

Using the generalized phase-integral approximation, a generalized ray solution, by which the sound fields in the neighbourhood of the caustics and turning-points may be calculated, is obtained. In this paper the theory is mainly used to investigate the turning-point convergence-zones in underwater sound channel. In Sec. 2 the ray structure in turning-point cenvergence-zones is dicussed and the theoretical analysis shows that there are commonly three caustics nearby each turning-point which is located at source...

Using the generalized phase-integral approximation, a generalized ray solution, by which the sound fields in the neighbourhood of the caustics and turning-points may be calculated, is obtained. In this paper the theory is mainly used to investigate the turning-point convergence-zones in underwater sound channel. In Sec. 2 the ray structure in turning-point cenvergence-zones is dicussed and the theoretical analysis shows that there are commonly three caustics nearby each turning-point which is located at source depth. The forms of caustics depend on the velocity profile and source position. In Sec. 3 the generalized ray solution for underwater sound channel is given. When the receiver is not near caustics, the sound intensity is given by

本文利用广义相积分近似给出一种声场的广义射线解,此解可用来计算焦散线以及反转点邻域的声场,而且具有物理图象清楚、计算方法比较简单的特点。文中较详细地分析了水下声道中反转点会聚区的焦散线结构以及声强分布规律,获得了形式比较简明、适用范围较宽的声强表式。计算表明,对于高频与窄带信号,在反转点会聚区接收的信号波形或者与发射信号相同、或是发射信号的Hilbert变换。

This paprv has given a new proof for thr Pfák's "Open mappiog theorem".The new proof scems easier than the old. Some mistakes of Husam's paper are discussed there. Indeed this paper is only an elemeutary exercise for a graduate student, but it is also an independent work.

本文作了以下一些工作: (1) 设(E,ξ)与(F,η)是扑拓性线间空,u是E中原点的一个邻域基,t:E→F是线性照映,J.L.Kelley曾经在假定F分离的情形下,论证了t的图象G(t)=={(x,tx)|x∈E)是F×F中闭集的壳要条件是={0}。作者则在无须假定F分离的情形下论证了同一结果。并且指出F的分离性不过是G(t)闭的当然推论,同时,由此推广了T.Husain的如下两个引理: 引理1.设E是可距离化的拓扑线性空间,{U·|n∈N)是E中原点的可数邻域基,F是分离的扑拓性线空间。若f:F→F是线性,连续,几乎开映照,则有={0}。引理2.设F是分离的扑拓性线空间,E是可距离化的扑拓线性空间,{V_n|n∈N}是E中原点的邻域基。若f:F→E是线性,几乎连续,闭图象,1—1映照,则有={0}。 (2) 由T.Husain介绍的一个Bauach的开映照定理是: 若E是可距离化的完备的拓扑线性空间,F是分离的拓扑线性空间,f:E→F是线性,映上,闭图象映照,若f几乎开,则f是开映照。作者则将它作了如下改进: 设E是可半距离化的完备的拓扑线性空间,F是拓扑线性空间,f:E→F是线性,闭图象映照,若f几乎开...

本文作了以下一些工作: (1) 设(E,ξ)与(F,η)是扑拓性线间空,u是E中原点的一个邻域基,t:E→F是线性照映,J.L.Kelley曾经在假定F分离的情形下,论证了t的图象G(t)=={(x,tx)|x∈E)是F×F中闭集的壳要条件是={0}。作者则在无须假定F分离的情形下论证了同一结果。并且指出F的分离性不过是G(t)闭的当然推论,同时,由此推广了T.Husain的如下两个引理: 引理1.设E是可距离化的拓扑线性空间,{U·|n∈N)是E中原点的可数邻域基,F是分离的扑拓性线空间。若f:F→F是线性,连续,几乎开映照,则有={0}。引理2.设F是分离的扑拓性线空间,E是可距离化的扑拓线性空间,{V_n|n∈N}是E中原点的邻域基。若f:F→E是线性,几乎连续,闭图象,1—1映照,则有={0}。 (2) 由T.Husain介绍的一个Bauach的开映照定理是: 若E是可距离化的完备的拓扑线性空间,F是分离的拓扑线性空间,f:E→F是线性,映上,闭图象映照,若f几乎开,则f是开映照。作者则将它作了如下改进: 设E是可半距离化的完备的拓扑线性空间,F是拓扑线性空间,f:E→F是线性,闭图象映照,若f几乎开,则f是开映照。 (3) 作者论证了如下一个关于“连续开线性映照”的定理: 设E,F,G是拓扑线性空间,x:E→F是连续,开的线性映照,h:F→G是线性映照,t=hoπ,则有: (a) t连续h连续, (b) t开h开, (c) t几乎开h几乎开, (b) G(t)闭G(h)闭, (e) 着t几乎连续,则h几乎连续。从而推广了前人的一些结果。 (4) 作者给出了一个Pfak闭图象定理的新证明,此证明完全不同于Pfak的最初证明,不仅大大简于原证明,而且在方法上比较新颍。同时,作者还给出几个略有变化的关于Br-完备空间的等价定义。 (5) 作者简化了V.Pfak对下面一个定理的证明。若E是Br-完备空间,E_0是E的闭子空间,则E_0在相对拓扑下是Br-完备的。 (6) 作者给出了几个略有变化的关于Br-完备空间的等价定义。 (7) 作者简化民T.Husain对下面一个定理的证明。若E是B-完备空间,F是分离的凸空间,t:E→F是映上,线性,连续,几乎开映照,则F是B-完备的。 (8) 作者指出了T.Husain一篇论文中的一个失误,他误把目前还未能解决的一个难题,不加证明地当作已有结果,从而推出了一些不能认可的命题。

 
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