The internal and surface cracks in rolls were detected with magnet as exciting source. Quantitative detection of cracks was realized by the establishment of mathematical model according to magneton theory and quantitative analysis of crack signals based on the piecewise cyclic approximation of neural network.

1、

Piecewise average approximation is used to reduce dimensionality and slipping window combined with MBR to implement subsequence matching. R+-tree is taken as multi-dimen-sional structure to improve indexing efficiency.

通过采用序列分段平均值技术降维，结合滑动窗口和MBR方法实现子序列相似查询，并利用R+-树作为多维索引结构提高检索效率。

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2、

PAA ( Piecewise Aggregate Approximation) is a method for representing time series by sliding an equal-width window on the data and dividing the data into segments.

滑动聚集平均近似PAA（Piecewise Aggregate Approximation）是一种表示时间序列的方法，它通过时间序列上滑动一个等宽的滑动窗口将时间序列分成小的区段。

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3、

The Property of Piecewise Smoothness of Moreau-Yosida Approximation for a Piecewise C~ 2 Convex Function

分片C~2凸函数Moreau-Yosida逼近的分片光滑性质

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4、

The amplifier realizes a piecewise approximation to an exact logarithmic response.

这种放大器实现了对数响应的分段近似，同时作为信号解调的一部分。

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5、

A Piecewise Linear Approximation Based on Vector Slope

基于矢量斜率的分段线性拟合

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6、

Propose an envelope lower-bounding algorithm based on piecewise aggregate approximation.

提出了基于分段聚合近似的包络线下界算法。

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7、

Piecewise approximation state space models of distributed parameter liquid pipes

分布参数液体管道的分段近似状态空间模型

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8、

This result can be combined with subdivision method to obtain a piecewise interval polynomial approximation for a rational surface.

这一结果可以与细分技术相结合，得到有理曲面的分片区间多项式的逼近。

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9、

Simulation results show that with complexity greatly reduced, piecewise linear approximation algorithm achieve a performance very close to that of the BP algorithm.

仿真结果表明，曲线折线化算法在复杂度大幅度降低的情况下性能接近BP算法。

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10、

Piecewise polynomial Approximation of Rational Curves and Surfaces

有理曲线和曲面的分片多项式逼近

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C ￣ k shape preserving piecewise polynomial of degree 2k+ 1 interpolation

C~k连续的保形2k＋1次分段多项式插值

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12、

The reproducing kernel function is constructed by the form of piecewise polynomial, which can simplify the calculation process.

文中所用到的再生核函数是以分段多项式形式给出的，这种形式的再生核函数大大简化了计算过程。

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13、

Methods It is discussed by nonparametric piecewise polynomial estimation and least squares estimation.

方法利用非参数分段多项式估计和最小二乘法进行讨论。

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14、

Data Analysis for Spectroscopic Ellipsometry with Piecewise Polynomial Method

椭圆偏振光谱数据处理的分段多项式法

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15、

A Piecewise Polynomial Method for Calculating Electromagnetic Field

求解电磁场的分片多项式方法

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16、

Toeplitz Operators with Piecewise Continuous Symbols of Bounded Multi-connected Domain

有界多连通域的具分段连续符号的Toeplitz算子

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17、

Piecewise continuous differentiable function

分段连续可微分函数

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18、

The objective function of the model is piecewise continuous function. The model was solved by the iterative linear program.

模型的目标函数为分段线性函数，文章采用迭代线性规划对模型进行了求解。

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19、

Direct digital frequency synthesis based on piecewise continuous nonlinear function to approximate

基于分段非线性函数近似的直接数字频率合成器有理函数逼近[近似]（式）对不连续函数的近似解

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20、

A special kicked rotor moving in a piecewise continuous force field is suggested and studied.

建议研究一类特殊的分段连续力场中的受击转子。

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