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The Complex Frequency Image Method which estimates the positions of poles by the positions of maximums of the negative second order derivative in complex plane is presented, and on its basis the Complex Frequency Trap Method is given.

提出了由复平面上负二阶导数的极大值的位置来估计极点位置的复频图象法,并在它的基础上给出了复频陷波法。

The linear matrix inequalities directly guarantee the negativeness of the time derivative of the Lyapunov functional, and reduce the conservativeness of the controller design.

所得线性矩阵不等式直接保证Lyapunov泛函对时间的导数为负,降低了控制器设计的保守性。

Using the quartic rational spline function, we can construct a net of feature curves passing through the four corner points P_ which situate at the rows (U-direction) and columns (V-direction) of a m×n rectangular control mesh.

本文构造了3/1型插值有理样条即分子、分母分别为三次、一次多项式的插值函数,该样条函数不仅可通过导数参数的选取,使得插值函数保单调,还可使得插值函数保凸。

The nonparametric estimation of conditional functional and its derivatives are studied.

证明了条件泛函及其导数的非参数估计达到最优一致收敛速度。

In the last part of this dissertation, we discuss how to model an image is discussed and how to segment an image by EDEK.Zero-Cross principle is a classical concept in signal processing. We generalize the concept to be zero normal curvature after the geometry frame built. Furthermore, we present the explanation to choose the dual parameters in SPMVIF. And we research why the Laplacian gradient superior to edge gradient.

梯度方向二阶导数过零原理是信号处理中的经典结论,在运用微分几何的知识建立SPMVIF的几何框架的同时,将这个结论推广到零-法曲率的形式;另外我们对SPMVIF的双参数选取规则进行了讨论并给出它们的几何意义,并且对SPMVIF中法向矢量选取时拉普拉斯梯度优于边缘图像梯度的结论给予统计信息熵的解释。

The spectra, which were pretreated with the method of first derivative combined standard normal variate, were analyzed by principal component analysis.

将经一阶导数结合标准归一化处理后的光谱进行PCA降维,以前20个主成份(含原始光谱86.09%的特征信息)为输入变量,建立杂交稻种纯度鉴定的BP-ANN模型。

The recent progresses in the study on the fluorescence of rare earth complexes and application for the determination of the rare earth elements and organic compounds, as fluorescent probes for bioactive materials analysis and as detection means in separation technology were reviewed in detail. In chapter two, the absorption spectra of the 4f electron transitions of the complexes of the neodymium, praseodymium, holmium and erbium with fleroxacin in the presence of CPC have been studies by normal and derivative spectrophotometry.

本文以稀土元素配位化学为基础,以导数吸收光谱技术和荧光光谱技术为研究手段,利用新一代喹诺酮类抗菌药物,抗凝血类杀鼠药物的化学结构特点和大环化合物冠醚与金属离子突出的配位能力,以分析应用为目标,系统研究了这些化合物同稀土元素形成的配合物的光吸收和荧光特性,通过对体系实验条件的优化,使体系的稳定性、选择性和灵敏度得到显著改善。

First derivative combined with standard normal variate was used to pretreat spectra, and calibration model for ginsenosides had been built by partial least squares regression method.

标准正则变换结合一阶导数对光谱进行预处理后,采用偏最小二乘回归算法建立在线测量总皂苷浓度的近红外光谱校正模型。

The artificial neural network models of original spectrum and two pretreated spectra (firstderivative and standard normal variate, respectively) of osthol and imperatorin were established.

分别利用萃取物的原始光谱和两种预处理光谱建立了网络的数学校正模型,并把所得结果进行了比较,确定用一阶导数光谱所建立的模型为最佳网络模型。

The study showed that spectra information can be extracted thoroughly by the pretreatment method of first derivative combined with standard normal variate, with the SEC of 0.002 5, SEP of 0.006 6, and determination coefficients of 0.988 4 and 0.922 7 respectively.

分析表明采用一阶导数结合标准归一化处理能最有效地提取光谱信息,此时PLS模型校正集决定系数与检验集决定系数分别为0.988 4与0.922 7,校正标准误差与预测标准误差分别为0.002 5与

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