eigenvalue decomposition
特徵值分解
eigenvalue equation
特徵值方程
eigenvalue problem
特徵值問題
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.
每個可見特徵值符合操作者一特徵向量，而相關的特徵值符合特徵值裏的可見值。
This paper discusses the structure, calculation of multiplication and power, eigenvalue and eigenvector, and diagonalizable problems of matrix of rank equal to 1.
摘要對秩等於1的矩陣的結構、乘法與乘冪運算、特徵值與特徵向量和對角化問題進行了討論。
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數量子力學中一類要求其解是正規或可對角化四元數矩陣的特徵值反問題。
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.
在對高度非正規矩陣的研究應用中，這些定理將比它們的特例-廣義特徵值定理更可靠，能提供更多的信息。
The eigenvalues of the matrix can be calculated using specialized algorithms.
矩陣的特徵值可以使用專門的算法計算。
Eigenvalues play a crucial role in solving systems of linear equations.
特徵值在解線性方程組中起着至關重要的作用。
Finding the eigenvalues of a matrix involves solving a characteristic equation.
找到矩陣的特徵值涉及解特徵方程。
Eigenvalues are used in various fields such as physics, engineering, and computer science.
特徵值在物理學、工程學和計算機科學等領域中被廣泛應用。
The eigenvalues of a symmetric matrix are always real numbers.
對稱矩陣的特徵值始終是實數。
Eigenvalues provide information about the behavior of a linear transformation.
特徵值提供了關於線性變換行爲的信息。
Eigenvalues are often used in principal component analysis for dimensionality reduction.
特徵值在主成分分析中常用於降維。
The eigenvectors corresponding to distinct eigenvalues are linearly independent.
對應不同特徵值的特徵向量是線性無關的。
Eigenvalues and eigenvectors are fundamental concepts in linear algebra.
特徵值和特徵向量是線性代數中的基本概念。
The eigenvalues of a diagonal matrix are simply the diagonal entries.
對角矩陣的特徵值就是對角線上的元素。
eigenvalue decomposition
特徵值分解
eigenvalue equation
特徵值方程
eigenvalue problem
特徵值問題
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.
每個可見特徵值符合操作者一特徵向量，而相關的特徵值符合特徵值裏的可見值。
This paper discusses the structure, calculation of multiplication and power, eigenvalue and eigenvector, and diagonalizable problems of matrix of rank equal to 1.
摘要對秩等於1的矩陣的結構、乘法與乘冪運算、特徵值與特徵向量和對角化問題進行了討論。
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數量子力學中一類要求其解是正規或可對角化四元數矩陣的特徵值反問題。
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.
在對高度非正規矩陣的研究應用中，這些定理將比它們的特例-廣義特徵值定理更可靠，能提供更多的信息。
The eigenvalues of the matrix can be calculated using specialized algorithms.
矩陣的特徵值可以使用專門的算法計算。
Eigenvalues play a crucial role in solving systems of linear equations.
特徵值在解線性方程組中起着至關重要的作用。
Finding the eigenvalues of a matrix involves solving a characteristic equation.
找到矩陣的特徵值涉及解特徵方程。
Eigenvalues are used in various fields such as physics, engineering, and computer science.
特徵值在物理學、工程學和計算機科學等領域中被廣泛應用。
The eigenvalues of a symmetric matrix are always real numbers.
對稱矩陣的特徵值始終是實數。
Eigenvalues provide information about the behavior of a linear transformation.
特徵值提供了關於線性變換行爲的信息。
Eigenvalues are often used in principal component analysis for dimensionality reduction.
特徵值在主成分分析中常用於降維。
The eigenvectors corresponding to distinct eigenvalues are linearly independent.
對應不同特徵值的特徵向量是線性無關的。
Eigenvalues and eigenvectors are fundamental concepts in linear algebra.
特徵值和特徵向量是線性代數中的基本概念。
The eigenvalues of a diagonal matrix are simply the diagonal entries.
對角矩陣的特徵值就是對角線上的元素。
探索常見搜尋詞彙