查询词典 linearly independent

By means of the curcuit mapping transformation developed in electrical network analysis, it is proved that the total reaction forces and moments are not independent but ran be linearly represented by two sets of independent ones, namely, cotree forces and cotree moments, respectively.

本文根据研究内容不同分成两篇，第一篇提出了一种基于网络分析方法的平面连杆机构运动学和静力学理论研究体系，侧重探讨和揭示了机构运动和力分析数学模型的内在联系，研究了机构组成的计算机辅助识别原理、策略、方法及软件设计技术。

You must remember that torque is independent of motor speed and that load horsepower increases linearly with rpm.

你必须记住，扭矩是独立的电机转速和负荷马力线性增加，与每分钟转速。

Of the fundamental matrix in (2) satisfies the differential equation =A , it follows that the matrix = itself satisfies the matrix differential equation Because its column vectors are linearly independent, it also follows that the fundamental matrix is nonsingular, and therefore has inverse matrix .

基本矩阵的求解由于（2）中的基本矩阵的列向量满足微分方程A，进而这个矩阵本身就满足矩阵微分方程。

Deduce that the columns of a square matrix are linearly independent if and only if the rows are.

推导若且唯若一方阵的列向量为线性无关，则其行向量为线性无关。

In section 2,we characterize the minimal ideals of finite dimensional symmetricself-dual Lie algebras over the complex field and gives an optimistic lower bound for thedimension of the space of invariant symmetric bilinear forms on a symmetric self-dualLie algebra by means of the number of linearly independent minimal ideals.

在第二节中，我们完全刻划了有限维对称自对偶李代数的极小理想；用线性无关极小理想的个数给出了一个对称自对偶李代数上由不变对称双线性型构成的线性空间维数的最好下界

When fiber Bragg grating is pressed by local transverse force, the reflection spectra are independent of the applied length. The wavelength of split point is periodical and linearly proportinal to the applied force. And the reflectivity of split point is approximately hyperbolically tangential versus the applied position.

研究表明，当FBG局部横向受力时，受压长度对反射光谱无影响，反射光谱分裂点的波长与横向作用力呈线性正比关系并具有周期性，分裂点反射率与受力位置的关系为近似双曲正切关系。

However, by giving different linearly independent vectors to the Gram-Schmidt process, the resulting class-label vectors will be different and so do the corresponding discriminants. That is, the solution of multi-class MSE is not unique and may not be the optimal.

但是，给予不同的线性独立向量，多类别最小平方误差区别会解出不同的类别标签向量，因而所求出的区别向量也会不同，此方法所求出的解可能并不是最佳解。

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。