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支集     
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  support set
     Using the methord of analysis and the notion of platform type fuzzy number, show that the closed set U whose support set is fuzzy uniformly bounded in ( E 1,d Δ p ) is a compact set if and only if U is a compact set in ( E 1,D p ),give a tool for further discussing the approximation property of fuzzy numbers.
     利用分析的方法结合台型模糊数的概念,证明了在模糊度量空间 E1 中,支集模糊一致有界的关于 p 平均对称差度量 d Δp 的闭集 U 为紧集的充分必要条件: U 关于 Lp 度量 Dp 为紧集,为进一步讨论模糊数的逼近理论提供了一种工具
短句来源
     The support set of equilibrium distributions is determined by the mean velocity and internal energy.
     而平衡分布函数的支集却相对集中 ,使模型得以简化。
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     For the so-called quadratic family , it is proved that, there exists a positive Lebesgue mea- sure set E in the parameter space such that the corresponding map has a dense critical orbit in the support set of the invariant - measure for all parameters in E;
     证明了对于实二次族在参数空间存在正Lebesgue测度集合E,使得E中几乎所有的参数,相应的映射在不变测度的支集上具有稠密的临界轨道;
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     In this paper, the tensor product of a scale function with compact support set is introduced to be used a base function for a artificial neural network. Based on the wavelet neural network static and dynamic, discrete-time, nonlinear systems are identified and it is proved that the identification error converge to zero according to the given law.
     本文用具紧支集的尺度函数之张量乘积构成人工神经网络的基函数,再由这个小波神经网络辨识静态与动态的离散线性系统,并且证明了依所给的方法产生的模型是收敛的.
短句来源
  branch set
     In order to make better use of power line to perform carrier communication,on the basis of noise model and attenuation model of power line channel,the wavelet function with various branch set lengths are selected,and the simulation on data communication using power line channel model,which adopts the multi-carrier modulation method based on complex wavelet packet,is conducted. The effect on simulation result by selecting various wavelet function is also analyzed.
     为了更有效地利用电力线进行载波通信,在建立了电力线信道噪声模型及衰减模型的基础上,选取不同支集长度的小波基函数,采用复数全小波包多载波调制方法对电力线信道模型的数据通信进行了仿真,分析了选择不同的小波基函数对仿真结果的影响。
短句来源
     The simulation result indicates that multi-carrier modulation technique based on wavelet is more suitable for power line communication than that based on Fourier transformation. Meanwhile,selection of the wavelet function with different branch set lengths can affect the error rate of communication.
     仿真结果表明,基于小波的多载波技术要比现行的基于傅里叶变换的多载波技术更加适合载波通信,同时,选取不同支集长度的小波基函数会对通信误码率产生影响。
短句来源
  supported wavelets
     Instantaneous attribute analysis based on orthogonal basis of compact supported wavelets
     基于紧支集正交小波基的瞬时属性分析
短句来源
     Research on the biorthogonal compactly supported wavelets
     双正交紧支集小波的理论研究
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     The instantaneous attribute analysis method based on orthogonal basis of compact supported wavelets, which uses characteristic of orthogonal basis of Daubechies' compact supported wavelets, expresses both Hilbert operator and oneorder differential operator in multi-resolution space, so that it analyses the instantaneous attributes of seismic traces in multi-resolution space.
     本文介绍的基于紧支集正交小波基的瞬时属性分析,是利用Daubechies紧支集正交小波基的特性,它可以将Hilbert算子和一阶微分算子在多分辨空间中进行表示,从而可以进行多分辨分析空间中的地震道的瞬时属性分析。
短句来源
     It is a further reform of the research on the biorthogonal compactly supported wavelets.
     对双正交紧支集小波特性的研究有着重要的意义 .
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  “支集”译为未确定词的双语例句
     Suppose that Φ(x)∈L 2(R) with compact support and V= span{Φ(x-k)|k∈Z}.
     假设Φ(x) ∈L2 (R)且具有紧支集。 令V =span{Φ(x-k)|k∈Z}。
短句来源
     For any stopping time T, we define A(T) = {stopping time S: S≤T, and S0}}, U(T)=ess sup A(T), and denote by D(T) the predictaole support of Let V(T) be the debut of D(T).
     对任意停时T,定义A(T)={停时S:S≤T,在{T>0}上S支集,V(T)为D(T)的初遇.
短句来源
     For any stopping time T, we define A(T)={stopping time S: S≤T, and S0}}, U(T)=ess sup A(T), and denote by D(T) the predictaole support of [[T]]. Let V(T) be the debut of D(T).
     对任意停时T,定义A(T)={停时S:S≤T,在{T>O}上S支集,V(T)为D(T)的初遇。
短句来源
     With orthogonality and constringency, the original signal is decomposed into 5 levels selecting Wavelet 'Sym8', and distinct characteristic time-frequency signal is obtained.
     选取具有正交和紧支集程度较高Sym8小波对原始信号进行5层分解,得到具有明显特征时域和频域信号.
短句来源
     In this paper,we obtain the asymptotic order of Fourier transform of continous funtions with compact support on SL(2,R),and an better asymptotic order of Fourier transform of Cck(SL(2,R)) is also presented.
     文章得到了SL(2,R)上具有紧支集的连续函数的Fourier变换在无穷远处下降的性质,并由此得到了Cck(SL(2,R))上Fourier变换更好的渐近阶.
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  support set
A wavelet set is the support set of the Fourier transform of an MSF wavelet.
      
It is proved that infinite normal forms are universal representation formulas whereas finite normal forms are universal approximation formulas for any L-valued function where L is a support set of any complete BL-algebra.
      
A subset S of the attributes (or variables) of such a data set is called a support set if the positive and negative examples can be distinguished by using only the attributes in S.
      
In 2004 the Department of Health in collaboration with Macmillan Cancer Support set up service development projects to pilot the integration of genetics in mainstream medicine in the area of cancer genetics.
      
The set of stereotypes is the support set of the structure and the operations defined therein may be supplied with adequate semantics which allow for the selection of the stereotype.
      
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  branch set
We prove that Stein surfaces with boundary coincide up to orientation preserving diffeomorphisms with simple branched coverings of B4 whose branch set is a positive braided surface.
      
We give an example of a $\mathcal{C}^{3-\epsilon}$-smooth quasiregular mapping in 3-space with nonempty branch set.
      
Moreover, we show that the branch set of an arbitrary quasiregular mapping in n-space has Hausdorff dimension quantitatively bounded away from n.
      
For each n≥5 we construct a C1+ε(n)-smooth quasiregular map in Rn with nonempty branch set.
      
We recommend the Branch set up a team development program to provide ongoing life skills training to all staff.
      
  supported wavelets
This article is concerned with constructions of biorthogonal basis of compactly supported wavelets in Sobolev spaces of integer order.
      
Compactly Supported Wavelets Through the Classical Umbral Calculus
      
Biorthogonal Locally Supported Wavelets on the Sphere Based on Zonal Kernel Functions
      
This sequence arises in the construction of modified compactly supported wavelets that, in contrast to classical Daubechies wavelets, preserve localization with the growth of smoothness.
      
A refined computational scheme for the orthogonalization of spaces with compactly supported wavelets is given.
      
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In this paper, the classes of initial value functions broader than those in [1] are considered. The geometric feature of the shock waves which stand as a row of "trees" spreading to the infinity, is clearly exhibited. The asymptotes in various cases are formulated. Particularly the C~∞ initial value functions with compact suppcrts are considered and an exact estimate about the support lengths of the solutions is obtained. C~∞ periodic initial value functions with arbitrary means are investigated, and an exact...

In this paper, the classes of initial value functions broader than those in [1] are considered. The geometric feature of the shock waves which stand as a row of "trees" spreading to the infinity, is clearly exhibited. The asymptotes in various cases are formulated. Particularly the C~∞ initial value functions with compact suppcrts are considered and an exact estimate about the support lengths of the solutions is obtained. C~∞ periodic initial value functions with arbitrary means are investigated, and an exact estimate for the decay of solutions is done. Further, the generic properties of any classes of initial data which appear in this paper are also studied.

本文考虑了比文献[1]更广的初值函数类, 激波的几何图象被清晰地揭示,它们象一排伸向无穷远的“树”。种种情况下的渐近线被求出,我们还特别考虑了紧支集的C~∞初值,得到了解的支集长度的精确估计,具有任意平均值的周期初值亦被研究,并得到了关于解的衰减的一个精确估计,对文中各类初值的一般性质亦作了研究。

In the paper,We show that if function f(x) satisfy:(1) f(x)∈L_M~*(G) andthe support of the function f(x) strictly belong to G,(2) for each variable x_i(i=1,…,n),f(x) has non-mixed generalized partial derivative D_i~tf(x)∈L_M~*(G) andthe Support of D_i~tf(x) strictly belong to G.then the function f(x) has.all mixedgeneralized partial derivatives of order l in L_M~*(G) and we also obtain the corre-sponding estimate.Where denote by L_M~*(G) the Orlicz space for N-function M(u)On the domain G and l is positive integer....

In the paper,We show that if function f(x) satisfy:(1) f(x)∈L_M~*(G) andthe support of the function f(x) strictly belong to G,(2) for each variable x_i(i=1,…,n),f(x) has non-mixed generalized partial derivative D_i~tf(x)∈L_M~*(G) andthe Support of D_i~tf(x) strictly belong to G.then the function f(x) has.all mixedgeneralized partial derivatives of order l in L_M~*(G) and we also obtain the corre-sponding estimate.Where denote by L_M~*(G) the Orlicz space for N-function M(u)On the domain G and l is positive integer.

本文证明了,如果函数f(x)满足:(1)f(x)∈L(?)_M(G)而且f(x)的支集严格属于G,(2)对每一个变量x_1(i=1,…,n)f(x)有非混合阶广义导致D_1(?)f(x)∈L(?)_M(G)而且D_1(?)f(x)的支集也严格属于G,则f(x)的所有l 阶混合广义导数D~af(x)在L(?)_M(G)中存在并得出了相应的估计。其中L(?)_H(G)表示由N(?)函数M(u)在区域G 上生成的Orlica 空间,而l 是正整数。

We subdivide non-uniformly a rectangle into sub-rectangles and join four vertices of each subectangle and inner point chosen arbitrarily in same subrectangle,respectively.We refer to the resulting partition as type-3 triangulation.In this paper,we give some existence theorem of spline functions with

在不均匀矩形网剖分中的每一矩形上任取一内点,并将内点与该矩形的诸顶点相联,构成一个三角剖分,为有别于[4] 、[5] 、[6] 中介绍的两类三角剖分,我们称此种三角剖分为第三型三角剖分。本文考虑了第三型三角剖分下具有最小矩形局部支集的样条函数的存在问题,给出了若干存在定理及某些 B 样条函数的表达式。

 
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