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A second order accurate, high resolution scheme, called WSUC scheme, has been proposed. This scheme is total variation bounded and unconditionally stable in the sense of convective numeral stability.

提出了一种具有二阶空间精度的WSUC格式，对它的精度、总变差有界性和对流的数值稳定性进行了分析。

The problem of paths with bounded length, being a variation and a generalization of Menger's theorem, is of very important significance in the design and analysis of real-time or fault-tolerant interconnection networks.

设给出了h，ψ-η限长路径问题是图论中的Menger定理的变形和推广，在实时容错网络设计和分析中有重要意义。

Furthermore, it avoids solving nonlinear partial differential equation numerically comparing with the energy minimization denoising model of bounded variation, and so it never leads to local minimum in general.

与基于压缩比和奇异值分解的降噪方法相比，由于该算法避免了图像压缩比函数及其拐点的计算，因此具有快速去噪和简单可行的优点。

Our investigations subsume the case of functions of bounded variation as special case and improve Guo and Khan\'s result[12]by giving a better asympotic estimate.

本章结果拓展了Guo和Khan[12]的研究工作，使之适用于更广泛的函数类，而且给出了一个更好的渐进估计。

In this paper, we study the rate of convergence of Durrmeyer-Bézier Operaters for functions of bounded variation f and obtain a accurate estimation of coefficient. Our result improves the result of Zeng by making use of probable property of basic functions.

在Zeng等人对有界变差函数f的Durrmeyer-Bézier算子在区间(0，1)上收敛于 1/(a+1f+a/(a+1f 的收敛阶进行研究的基础上，利用基函数的概率性质等方法，对其所给的Durrmeyer-Bézier算子收敛阶估计结果作进一步的改进，得到其收敛阶的精确估计。

Piecewise linear function space is chosen as finite element space. The scheme is total variation bounded and is formally second order accurate in space and time.

理论分析表明，格式具有总变差有界的性质，而且空间和时间离散形式上具有二阶精度。

At the same time, the variational stability of bounded variation solutions at the effect of perturbation and non-perturbation for the impulsive differential system are discussed, the Ljapunov type theorems for variational stability and asymptotically variational stability for impulsive differential systems are established.

同时，讨论了在无扰动和有扰动的情况下，这类固定时刻脉冲微分方程有界变差解的变筹稳定性，建立了此类微分系统有界变差解变差稳定性和渐近变界稳定性的两个Ljapunov型定理。

In order to effectively abstract the texture and denoise but not damage the edge and other important details of image, Meyer (2001) proposed using elements of BV space and G space to characterize cartoon and details of image respectively. The authors present PDE of minimizing energy on the basis of Meyer's work, After the model is discretizated. projection algorithm and the method for ROF model are applied. Thus an image is decomposed into two parts, bounded variation component u and texture with noise υ.

为有效地提取纹理和去噪而不损坏图像的边缘及其他重要细节，Meyer(2001)提出了分别用BV空间和G空间刻画图像的主体和细节部分，笔者在Meyer的图像分解模型基础上，建立能量最小化PDE方程，将模型离散化后，利用投影算法和ROF模型的求解方法，将图像分解为有界变差部分u和包含纹理和噪声的部分υ。

The cartoon component of an image is modeled by a bounded variation function;the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.

图像的卡通部分是由一个有界变差函数来刻画，相应的将BV罚项合并到变分泛函中需要解偏微分方程。

After the model is discretizated,projection algorithm and the method for ROF model are applied.Thus an image is decomposed into two parts,bounded variation component u and texture with noise v.The numer...

数值实验表明，此方法仅用共40次迭代就能达到很好的分解效果，且去噪的信噪比比ROF模型提高了29.95%，而且除能有效地提取纹理和去噪外本方法对图像的边缘及其他重要细节损坏较小。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。