查询词典 linear independence

Aim To generate the concepts and properties of linear dependence and linear independence.

目的 推广线性相关与线性无关的定义与性质。

Results and Conclusion The concepts of strong linear dependence and weak linear independence are introduced, their some properties and distinguishing method are given, and some results of linear space are obtained.

结果／结论引入了强线性相关与弱线性无关的定义，给出了它们的性质和判别方法，并得到线性空间的一些结论。

In addition, the numerical linear independence theory is further discussed and the computation of the degree of linear independence is simplified.

文中进一步讨论了数值线性独立理论，并简化了新方法中线性独立度的计算。

The degree of numerical linear independence is proposed and discussed, Based on this linear independence theory, a modified limited memory BFGS method is developed.

提出了线性独立度的概念，并在此基础上建立了一个改进的有限储存BFGS法。

This thesis is devoted to study the properties of the solutions of some specialrefinable equations,such as properties of multi-refinable,global linear independence,local linear independence and local polynomial property,etc,by using fractal theory,measure theory and theory of generalized functions.

本文的主要目的是通过用分形几何中的一些想法以及测度论和广义函数中的一些知识来研究一些特殊的细分方程的解的一些性质，如多重可细分性、整体线性无关性、局部线性无关性和局部多项式性质等。

The supper-resolution of the PR method is pointed out for the first time and the uniqueness of the retrieved complex image is proved with the help of linear independence of given discrete system response.

通过实际信号分析得出由图象强度定义的对比度函数更适合于聚焦参数的最优化求解，解析得到对比度函数的梯度，能够应用FFT进行高效计算。

Kalman further invited me to co-author a paper with him considerably generalized the idea of linear independence in dynamic systems to the concept of "controllability" a fundamental idea in control.

Kalman的方法则在动态系统上使用了时域和微分方程模型，这在当时是非常离经叛道的，主流观点对此质疑很多。

Such as seeking the solution of inverse matrix and maximum unconcerned system of linear equations,and solution of matrix equation,proving equation of system of vectors,and judging the linear independence of system of vectors,etc.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

By imposing continuity conditions at the soil-pile interfaces and taking account of the linear independence of trigonometric function, analytical solution of the problemns were obtained.

数值算例对排桩后面的饱和土体的竖向位移振幅衰减进行了分析，探讨了入射波频率和桩土弹性模量比等参数对饱和土中排桩隔离效果的影响。

If deg f = n, then Rfc is an empty set. For all the functions of degree 2, Rf have at least 2n-1 vectors, when Rf is a linear subspace, the relationships between Rf and Lf are discussed . Boolean functions have no nonezero linear structure if and only if there are n linear independence vectors in f, the correlation of the vectors in ?

证明了，若degf=n，则R_f~c为空集，对于所有的二次布尔函数而言，均有R_f~c中的元素个数大于等于2~(n-1)，给出了R_f构成线性子空间时，R_f和L_f之间的关系，还给出布尔函数不含有非零线性结构的充分必要条件是ζ_f中含有n个线性无关的元素。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。