查询词典 piecewise differentiable function

In this paper,we study the oscillation properties of solutions to the following problems of three classes of delay parabolic equations of neutral type.where Ω is a bounded domain in R~n with a piecewise smooth boundary ?

本文研究了三类中立型时滞抛物方程：解的振动性。其中G=Ω×(0，+∞)，Γ=Ω×0，+∞，ΩR~n是有界域，边界Ω逐片光滑，Δ是拉普拉斯算子，？

The cartoon component is described by piecewise smooth functions (Mumford-Shah model, or M-S model), while the texture is characterized by oscillating functions in G space.

其中结构成分用分段光滑的函数（即Mumford-Shah模型）刻画，纹理部分用振荡函数来描述。

The vertex within control mesh of fitting subdivision surface was located by iterative modification and local adaptive subdivision. This method makes it feasible to avoid the solution of linear equation system. The size of control mesh, which is corresponding to the fitting Loop subdivision surface, is smaller. The surface is reconstructed according to the given precision. It can represent detail characteristics of original model, and is piecewise smooth (C^2 continuous everywhere except at extraordinary vertices where they are C^1 continuous).

系统通过对控制网格顶点的循环修正和局部自适应细分来求解最终拟合细分曲面控制网格，避免了求解线性方程组，提高了拟合曲面的质量，实现了在给定精度下用较少的控制网格反映物体细节特征的分片光滑（片内除奇异点C^1，外其余C^2连续）的Loop细分曲面重建。

The unified discrete iterative map model of peak current and valley current controlled buck, boost, and buck-boost converters is established, and the unified piecewise smooth iterative map and their corresponding characteristics equations are also derived.

本文建立了峰值电流和谷值电流控制Buck，Boost，及Buck-Boost变换器的统一离散迭代映射模型，并导出了统一的分段光滑迭代映射方程及特征值方程，通过数值仿真得到了占空比变化时的正、逆分岔图和Lyapunov指数谱。

The paper proposed an approach for linear piecewise interpolation algorithm based on gray integral projection in light of the vectorization of record curve on plotting paper.

孔令旺，硕士，主研领域：图像处理与模式识别，网格技术针对坐标图纸记录曲线矢量化，提出了一种基于灰度积分投影的分段线性插值算法。

In this paper,we introduce a novel blending approach for both 2D and 3D curves with the discrete Poisson equation defined on piecewise linear curves as the theoretical foundation.

以定义在分段线性曲线上的离散Poisson方程为理论基础，提出了一种同时适用于平面和空间曲线形状渐变的方法。

A new kind of weight functions is given with piecewise polynomial triangular representation.

在以往的研究中，仅解决了k=1以及在一定条件下的k=2时的补曲面生成问题。

A Piecewise Polynomial Representation based similarity search approach for time series data in coal well gas monitoring was proposed.

研究基于时间序列相似搜索技术的煤矿瓦斯涌出分析新途径，提出基于PPR的煤矿瓦斯监测数据相似搜索方法。

Aimed at some shortages in the existing methods based on piecewise polynomial representation, such as sensitive to noise awl lower computational efficiency, a robust method of optimal segmenting time series is proposed.

针对分段多项式回归方法存在计算效率低和对噪声较敏感等缺点，提出了具有稳健性的最优分割方法，以解决时间序列数据相似搜索及知识发现处理中的长时间序列分割问题。

In the computational methods of TPBVP, in order to reduce some difficulties involved in solving a TPBVP via adjoint variables, we discuss a direct method in which state and control variables are indirectly parameterized, The method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables, thus converting the optimal control problem into a nonlinear programming problem, which can be solved numerically.

在数值解法中，为了减少解决两点边值问题共轭变量带来的困难，主要讨论了将状态变量和控制变量进行参数化的一种直接方法，这种方法采用了近段发展起来的使用分段的多项式来代替状态和控制变量的直接优化方法，然后最优控制问题就转化成可以用数值方法解决的非线性规划问题，使得迭代初值更加容易选取。

My father is over 60 years old, and he lifts weights every day.

我爸爸六十多岁了，他每天都练习举重。

Then in a serious tone she declared:"It doesn't pay, dear boy, to look like a ninny with one's wife the first night."

两眼湿润了，她把身子蜷得很小，这样似乎可以更好地闻闻自己。