文章总结出了判断向量线性相关和线性无关的八种方法。
The article sums up eight methods to judge the linearly dependent and the linearly independent of vectors.
应用这组线性无关的模态集构成坐标变换矩阵，推导出广义坐标下的部件动力学方程。
Using a coordinate transformation matrix, which is formed by these linearly independent mode set, the component equations of motion in generalized coordinates are derived.
提取出的成分具有线性无关的特点，对日负荷有较好的解释能力，且利于建模和预测。
The abstracted components, having the property of linearly independence, can be used to explain the daily load better and are more favorable for modeling and forecasting.
提取出的成分具有线性无关的特点，对地下水动态变化有较好的解释能力，利于建模和预测。
The abstracted components, having the property of linearly independence, can explain the groundwater dynamic characteristics better and are more favorable for modeling and forecasting.
文献 [1 ]讨论了在线性无关的约束规定下 ，用组合同伦内点法求解非线性规划的KT点问题。
The problem for getting K T point of nonlinear programming by combined homotopy interior point method under linearly independent constraint qualification is discussed at [1].
研究了线性无关的向量组在同一级幂零指数上的线性关系，得到幂零指数在线性空间的基向量上的分布规律。
In this paper, the author researches the linear relation defined by a same nilpotent index in the independent vectors, obtains the distribution rule of the nilpotent indices on an arbitrary basis.
Sequitur压缩算法是线性时间在线算法，为给定的字符串输入生成了一种与上下文无关的语法。
The Sequitur compression algorithm is a linear-time online algorithm that forms a context-free grammar for a given string input.
频率相对变化量与梁的厚度无关，增加频率的相对变化量也同时增加了输出信号的非线性度。
The non-linearity increases with the increase of the frequency change rate, which does not depend on the thickness of the resonant beam.
该算法在可控性矩阵中将输入矩阵用其列向量的极大线性无关组代替，并使用矩阵的行初等变换；
By using the elementary row transformation in the controllable matrix, the input matrix is replaced by the maximally linear independent set of its column vectors.
并且上方程的任二线性无关解至少有一零点收敛指数为无穷。
And for its arbitrary two linearly independent solutions , at least one is of infinite exponent of convergence of zeros.
特别地，用一个弱mfcq代替线性无关约束规格(LICQ)得到算法的全局收敛性。
Especially, the global convergence is obtained under a weak Mangasarian-Promovitz constraint qualification (MFCQ) instead of the linearly independent constraint qualification (LICQ).
研究发现与RGB颜色空间线性相关、分量无关的颜色空间对水印应用最适合。
Color Spaces with linear relation to RGB color space with uncorrelated components are found to be most suitable for watermarking applications.
测量结果表明，在极低速状态下，仪表齿轮齿面间的摩擦系数几乎与齿面间的作用力无关，但随齿面相对滑动速度的增加而线性增加。
Results show that the frictional factor almost has nothing to do with applied forces, but increases linearly with the sliding speed between the tooth faces.
耦合非线性模态的分叉既与调谐参数有关又与模态振幅有关，但与非耦合弹簧的非线性刚度无关。
The bifurcation behavior of the coupled nonlinear normal mode is associated with detuning parameter and mode amplitude, but not with the nonlinear stiffness of uncoupling spring.
介绍使用电力系统输入-输出反馈线性化模型的非线性励磁控制器的设计，该控制器的设计与运行点无关。
A design for nonlinear excitation controller using an input-output feedback linearized model of the power system is presented. The controller design is independent of operating points.
用极大代数意义下的线性系统理论提出了一种与系统矩阵维数无关的，模块网络迭代法。
By the linear theory in the max-algebra, it presents the block network iterative method which is independent of the dimension of system matrix.
导出了累量域电磁矢量传感器及其阵列线性无关虚拟导向矢量个数的上界和下界。
The upper bound and the lower bound for the number of linear independent steering vectors are both derived.
在传统基于线性光谱混合模型的光谱解译方法中，模型自身的不足以及在光谱解译过程中无关类别的参与都影响着解译效果。
In traditional spectral unmixing method based on linear spectral mixing model (LSMM), unmixing accuracy is deteriorated both by the deficiency of the model and the participation of unrelated classes.
文章利用方差分析方法，提出了一种与分布无关的线性分类算法。
This article USES the ideology of variance analysis and provides a linear classifying algorithm which is with-out the connection with distribution.
构造并证明了线性无关向量组的一个充分条件，给出了求极大无关组的一个简单可行的新方法。
The article constructed and proved the one sufficient condition of linearly independent vector group, also a new, simple, practical method to find maximum linearly independent vector group.
结果表明，虫害指数的高低与当年生枝条的长度、芽数、芽密度、粗纤维含量无关，而与当年生枝条韧皮部、木质部容重之间存在极显著的线性关系。
The result shows the amount of the index of harm has no connection with the length of branches growing in the very year, the quantity of buds, the density of buds and the content of raw fiber.
其中IVR过程与溶剂性质基本无关，由于受激发态富余振动能量大小的影响，在实验温度范围内随温度降低其时间常数呈线性增加。
The difference of the average vibrational energy of solute molecules in the ground state at different temperature is a possible reason that induces this IVR time constants temperature dependence.
构造并证明了线性无关向量组的一个充分条件，给出了求极大无关组的一个简单可行的新方法。
The article by several opposite examples illustrated the former method of finding vector groups maximum linearly independent vector group is imperfect, sometimes even lead to wrong results.
由于新的限与码的重量结构无关，因此可以方便地估计任何线性分组码的不可检错误概率。
Because new lower bounds are not relative to the weight structure of the codes, it is easy to estimate undetected error probability of various linear block codes.
研究了广义时滞线性定常系统的稳定性，由此提出了系统时滞无关稳定的条件，并给出了一个与系统时滞相关稳定的充分条件。
The stability of linear generalized system with time delay is studied. Based up on this, the sufficient conditions for delay independent stability of linear generalized system are proposed.
有多种MRI技术可用于获得人体组织的相对或绝对温度，其中基于水质子共振频率偏移（PRF）的方法由于其线性和组织无关性而最多被采用。
Among these, the method based on water proton resonance frequency (PRF) shift becomes the most promising way because of its linearity and tissue non-dependency.
当加光子相干态的平均光子数较大时，原子线性熵呈现崩塌与回复现象，其回复周期随加光子数的增加而增加，与原子的初态无关。
With the increasing of the mean photon number, the revival period increase. The atom collapses to a unique pure state regardless of the initial atomic conditions.
构造并证明了线性无关向量组的一个充分条件，给出了求极大无关组的一个简单可行的新方法。
The article constructed and proved the one sufficient condition of linearly independent vector group, also a new, simple, practical method to find maximum...
字典定义失明为“没有视觉”，但是失明实际分为很多级别。我们把这个矩阵的秩定义为它所包含的线性无关行的数目。
Dictionaries define blindness as "being without the sense of sign, " but there are many degrees of blindness.
构造并证明了线性无关向量组的一个充分条件，给出了求极大无关组的一个简单可行的新方法。
The article constructed and proved the one sufficient condition of linearly independent vector group, also a new, simple, practical method to find maximum linearly independent vector...
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