What is the translation of " EIGENVALUE " in Chinese?

• 特征值
• 本征值

Examples of using Eigenvalue in English and their translations into Chinese

Spectrum and eigenvalues.
谱和特征值.

The left Cauchy-Green deformation tensor also has the principal stretches as eigenvalues.
左柯西-格林变形张量也具有主伸长率作为特征值。

What will happen when eigenvalues are roughly equal?
当特征值大致相等时会发生什么？?

Since the red vector was neither stretched nor compressed, its eigenvalue is 1.
因为红色向量既没有被拉伸又没有被压缩，其特征值为1。

It is easy to see that the eigenvalues lie in the approximate point spectrum.
容易看出特征值属于近似点谱。

The CI procedure leads to a general matrix eigenvalue equation:.
CI程序导致了一个广义矩阵本征值方程:.

We say that λ is an eigenvalue of matrix A, and x is an eigenvector associated with λ.
则称λ是矩阵A的特征值，x是A属于特征值λ的特征向量。

This is in the form of generalized eigenvalue problem.
这个方程叫Generalizedeigenvalueproblem。

Any element with an eigenvalue≥ 1 discusses more difference than a single observed variable.
具有特征值≥1的任何因子解释比单个观测变量更多的方差。

Not every matrix can be decomposed into eigenvalues and eigenvectors.
不是每个矩阵都可以分解成特征值和特征向量。

The eigenvalue is a measure of how much of the variance of the observed variables a factor explains.
特征值是一个因素解释观测变量的多少方差的量度。

(It is a limiting case of type VI, where one eigenvalue becomes zero.).
它是VI型的极限情形，其中一个本征值变成零。

Indeed,''C'' has one eigenvalue(namely zero) and this eigenvalue has algebraic multiplicity 2 and geometric multiplicity 1.
实际上，C有一个特征值(就是零)而这个特征值有代数重次2和几何重次1。

Reduction to Hessenberg form(the first step in many eigenvalue algorithms).
化为海森伯格矩阵形式（许多特征值算法的第一步）.

This happens when at least one eigenvalue of the hessian matrix is negative and the rest of eigenvalues are positive.
当Hessian矩阵的特征值至少有一个是负值而其余的特征值是正值时就会发生这种情况。

But a matrix is positive definite when and only when all its eigenvalues are positive.
矩阵是正定的当且仅当其特征值都是正数。

Where c is the coefficient vector, e is the eigenvalue matrix, and the elements of the hamiltonian and overlap matrices are, respectively.
在这里c是系数矢量,e是本征值矩阵，哈密顿函数和叠代矩阵的原理分别如下.

If T is a compact operator, then it can be shown that any nonzero λ in the spectrum is an eigenvalue.
如果T是一个紧算子，则可以证明谱中任意非零λ是特征值。

By Heisenberg's uncertainty relation this means that the angular momentum and the energy(eigenvalue of the Hamiltonian) can be measured at the same time.
由海森堡不确定原理，这意味着角动量和能量（哈密顿的本征值）可以同时进行测量。

The eigenvalue problem has since been solved and here we explore the“hearing” part of the question by considering some interesting physical effects.
特征值问题已经解决了，在这里，我们通过考虑一些有趣的物理效应，探索这个问题中“听”的部分。

A seismic analysis is performed to generate equivalent seismic loads for each eigenvalue and direction.
这里进行地震分析为了生成每个特征值和方向上的等效地震荷载。

As the researchers have painstakingly introduced in their reports, not every eigenvalue can effectively predict factual accuracy or political bias.
正如研究人员在他们的报告中煞费苦心的介绍所示，并不是每一个特征值都能有效预测事实准确性或政治偏见。

The inverse statement is not true: the operator T- λ I{\displaystyle T-\lambda I} may not have an inverse, even if λ{\displaystyle\lambda} is not an eigenvalue.
但否命题是不对的：即使λ{\displaystyle\lambda}不是特征值,算子T-λI{\displaystyleT-\lambdaI}可能也没有逆。

The random matrix theory tells us that, for a large Gaussian random matrix, the probability for any eigenvalue to be positive or negative is 0.5[1].
随机矩阵理论告诉我们，对于一个大的高斯随机矩阵来说，任一特征值是正或者是负的概率都是0.5[1]。

However, non-convex problems can have much more complicated landscapes that involve degenerate saddle points- points whose Hessian is positive semidefinite and have 0 eigenvalues.
然而，非凸问题的外形更加复杂，含有退化鞍点（degeneratesaddlepoints）--Hessian矩阵是半正定的，有0特征值。

Normally, physicists describe quantum systems using highly symmetric mathematical matrices whose solutions, or“eigenvalues,” correspond to the system's energy levels.
通常，物理学家使用高度对称的数学矩阵来描述量子系统，其解或“特征值”对应于系统的能级。

The conjugate gradient method can be derived from several different perspectives, including specialization of the conjugate direction method for optimization, and variation of the Arnoldi/Lanczos iteration for eigenvalue problems.
共轭梯度法可以从不同的角度推导而得，包括作为求解最优化问题的共轭方向法的特例，以及作为求解特征值问题的Arnoldi/Lanczos迭代的变种。

In RF‑STABILITY, you can perform stability analyses according to four different eigenvalue methods.
在RF-STABILITY中，您可以根据四种不同的特征值方法执行稳定性分析。