eigenspace
特徵空間
eigenspectrum
特徵譜
eigenstate
特徵態
eigenfunction
特徵函數
eigenvalue
特徵值
eigenvector
特徵向量
eigensystem
特徵系統
eigendecomposition
特徵分解
eigenproblem
特徵問題
eigenmode
特徵模式
the eigens of this symmetric matrix are all real numbers, which simplifies the analysis significantly.
此對稱矩陣的特徵值都是實數，這大大簡化了分析。
engineers compute the eigens to determine the natural frequencies of the structural system.
工程師計算特徵值以確定結構系統的自然頻率。
the dominant eigens control the long-term behavior of this dynamical system.
主導特徵值控制此動態系統的長期行為。
quantum mechanics relies on the eigens of hermitian operators to predict measurable quantities.
量子力學依賴於厄米算子的特徵值來預測可測量的量。
numerical methods help find the eigens of large sparse matrices efficiently.
數值方法有助於高效地找到大型稀疏矩陣的特徵值。
the spectral theorem guarantees that the eigens of a normal matrix form a complete basis.
譜定理保證正規矩陣的特徵值形成一個完整的基底。
repeated eigens indicate that the matrix is defective and requires special handling.
重複的特徵值表示矩陣是缺陷矩陣，需要特殊處理。
positive eigens correspond to expanding modes in the system.
正特徵值對應系統中的擴張模式。
the characteristic polynomial reveals all possible eigens of the transformation.
特徵多項式揭示了變換的所有可能特徵值。
when computing eigens, numerical stability becomes crucial for accuracy.
在計算特徵值時，數值穩定性對於準確性至關重要。
complex eigens appear when the system exhibits oscillatory behavior without damping.
當系統表現出無阻尼的振盪行為時，會出現複數特徵值。
the algebraic multiplicity of these eigens determines the size of the jordan blocks.
這些特徵值的代數重數決定了約當塊的大小。
finding the smallest eigens helps locate the ground state energy in quantum systems.
找到最小的特徵值有助於確定量子系統的基態能量。
eigenspace
特徵空間
eigenspectrum
特徵譜
eigenstate
特徵態
eigenfunction
特徵函數
eigenvalue
特徵值
eigenvector
特徵向量
eigensystem
特徵系統
eigendecomposition
特徵分解
eigenproblem
特徵問題
eigenmode
特徵模式
the eigens of this symmetric matrix are all real numbers, which simplifies the analysis significantly.
此對稱矩陣的特徵值都是實數，這大大簡化了分析。
engineers compute the eigens to determine the natural frequencies of the structural system.
工程師計算特徵值以確定結構系統的自然頻率。
the dominant eigens control the long-term behavior of this dynamical system.
主導特徵值控制此動態系統的長期行為。
quantum mechanics relies on the eigens of hermitian operators to predict measurable quantities.
量子力學依賴於厄米算子的特徵值來預測可測量的量。
numerical methods help find the eigens of large sparse matrices efficiently.
數值方法有助於高效地找到大型稀疏矩陣的特徵值。
the spectral theorem guarantees that the eigens of a normal matrix form a complete basis.
譜定理保證正規矩陣的特徵值形成一個完整的基底。
repeated eigens indicate that the matrix is defective and requires special handling.
重複的特徵值表示矩陣是缺陷矩陣，需要特殊處理。
positive eigens correspond to expanding modes in the system.
正特徵值對應系統中的擴張模式。
the characteristic polynomial reveals all possible eigens of the transformation.
特徵多項式揭示了變換的所有可能特徵值。
when computing eigens, numerical stability becomes crucial for accuracy.
在計算特徵值時，數值穩定性對於準確性至關重要。
complex eigens appear when the system exhibits oscillatory behavior without damping.
當系統表現出無阻尼的振盪行為時，會出現複數特徵值。
the algebraic multiplicity of these eigens determines the size of the jordan blocks.
這些特徵值的代數重數決定了約當塊的大小。
finding the smallest eigens helps locate the ground state energy in quantum systems.
找到最小的特徵值有助於確定量子系統的基態能量。
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