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Each eigenstate of an observable corresponds to an eigenvector of the operator, and the associated eigenvalue corresponds to the value of the observable in that eigenstate.

每个可见特征值符合操作者一特征向量,而相关的特征值符合特征值里的可见值。

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In the practical applications of highly nonnormal matrices, these theorems may be more useful than their generalized eigenvalue special cases and may provide more descriptive information.

在对正规矩阵的研究应用中,这些定理将比们的特例-广义特征值定理可靠,能提的信息。

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In the higher sea states, most characteristic values are reduced slightly due to the hydroelasticity and the quais-static results are a little bit conservative.

海况时,水弹性会使响应特征值略微减小,准静态法结果偏于保守。

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This paper discusses the structure, calculation of multiplication and power, eigenvalue and eigenvector, and diagonalizable problems of matrix of rank equal to 1.

摘要对秩等于1的矩阵的结构、乘法与乘幂运算、特征值与特征向量和对角化问题进行了讨论。

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One kind of inverse eigenvalue problems, whose solutions are required to be normal or diagonalizable matrices, is investigated in quaternionic quantum mechanics.

摘要本文研究了四元数量子力学中一类要求其解是正规或可对角化四元数矩阵的特征值反问题。

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科技 Crash Course

These experts can recognize different moths, so they not only record the feature values, but also label that data with the actual moth species.

些专家能够识别不同飞蛾, 因此他们不仅记录特征值,还会用实际飞蛾种来标注些数据。

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Big Biology

And if for your question, it's necessary to really compile these traits values into categories, then you can do that.

而且如果为了你问题, 确实需要将特征值你可以样做。

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Lex Fridman Podcast

But when I read how they described it to each other, talking about eigenvalues and

但当我读到他们彼此描述时,讨论特征值及各种数学术语,容变得有意义了。

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Linear algebra

If you actually try computing the eigen values of a rotation like this, notice what happens.

如果你试着计算像样旋转特征值 注意会发生什

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Linear algebra

And the way to interpret this is that all the basis vectors are eigenvectors, with the diagonal entries of this matrix being their eigen values.

解释方法是所有基向量都是特征向量 矩阵对角线元素是它们特征值

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Linear algebra

So finding the eigen vectors and their eigen values of the matrix A comes down to finding the values of V and lambda that make this expression true.

所以求出矩阵A特征向量和它们特征值归结为求出V和使表达式成立值。

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Linear algebra

A is the matrix representing some transformation with V as the icon vector, and lambda is a number, namely the corresponding eigen value.

A是表示以V为图标向量变换矩阵 lambda是一数字 即对应特征值

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Linear algebra

The only eigen value is two, but every vector in the plane gets to be an eigenvector with that eigen value.

唯一特征值是2 但是平面上向量都是具有特征值特征向量。

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Linear algebra

In this case, by the way, the corresponding eigen value would have to be one, since rotations never stretcher squish anything, so the length of the vector would remain the same.

顺便说一下 在种情况下 对应特征值必须是1 因为旋转不会拉伸压扁任何东西 所以向量长度保持不变。

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Linear algebra

For those of you wondering why we care about alternate coordinate systems, the next video on eigen vectors and eigen values, we'll give a really important example of this.

对于些想知道为什我们要关心交替坐标系人 下一集关于特征向量和特征值视频 我们会给出一很重要例子。

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Linear algebra

Confusion about agon stuffs usually has more to do with the shaky foundation in one of these topics than it does with eigenvectors and eigen values themselves.

对正交困惑通常更多是与些主题中不稳定基础有关 而不是与特征向量和特征值本身有关。

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Linear algebra

All of the vectors on the x axis are eigen vectors with eigen valued one, since they remain fixed in place.

x轴上所有向量都是特征值为1特征向量 因为它们保持固定。

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Linear algebra

Of course, there's nothing special about stretching versus squishing, or the fact that these eigen values happen to be positive.

当然 拉伸和挤压并没有什特别 或者说特征值恰好是正

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3G, 401(K), a,
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