?eigenvalue

eigenvalue發(fā)音

英：['a?d??n?v?lju:]　　美：['a?d??n?v?lju:]

英：　　美：

eigenvalue中文意思翻譯

n. [數(shù)]特征值

eigenvalue常見例句

1 、Generalized eigenvalue problem (GEVP)───廣義特征值問題

2 、The existence and uniqueness of positive eigenfunction of some elliptic eigenvalue systems in Rn[J].J of Zhejiang University:Science Edition,2001,28(1):7-13.───Rn上橢圓型特征值問題正特征函數(shù)的存在性和惟一性[J].浙江大學學報:理學版,2001,28(1):7-13.

3 、The densities of electronic states (DOS) of quasi-one-dimensional disordered systems with three parallel chains are computed with thirty thousand sites based on the negative eigenvalue theory.───利用負本征值理論計算方法,重點計算出準一維平行三鏈無序系統(tǒng)的電子態(tài)密度,對比研究了一維單鏈、準一維雙鏈的情況。

4 、By using the method of eigenvalue analysis and nonlinear analysis,the structure stability was analyzed, and the critical load of straight pipe was,then,obtained.───并用非線性方法和特征值方法對結構穩(wěn)定性進行分析,得出直管段的穩(wěn)定臨界載荷。

5 、Skewness is an eigenvalue of symmetric distribution of the image.───偏斜度是一個能表征圖像是否對稱分布的特征量。

6 、The three classical eigenvalue differential equations of a Mindlin plate are reformulated to arrive at two new eigenvalue differential equations for the proposed theory.───從Mindlin板的三個經(jīng)典本征值微分方程出發(fā)，得到了與本文新理論所對應的兩個新本征值微分方程。

7 、Based on perturbation features of eigenvalue and eigenvector, the paper pointed outeigenvector of morbid eigenvalue may be perturbed to a great degree.───在特征值及特征向量的擾動分析基礎上，本文指出了病態(tài)特征值所對應的特征向量會受到較大擾動。由此，提出了不相關鑒別矢量集的優(yōu)化算法。

8 、ON ADDITIVE INVERSE EIGENVALUE PROBLEM───關于加法逆特征值問題

9 、Peak, peak time and zero-crossing time were chosen as the eigenvalue for quantitative evaluation of cracks, PEC was used to determine the length and depth of surface and subsurface cracks.───對表面和近表面裂紋的長度和深度進行了定量檢測,提出了辨別表面和近表面裂紋的公式。

10 、Wilkinson J H.Algebraic Eigenvalue Problem[M].Oxford;Oxford University Press.───盧開澄.計算機算法導引-設計與分析[M].北京:清華大學出版社,1996.

11 、In the given geometry original bug, there is a few difference between the result of eigenvalue buckling analysis and the result of geometry nonlinear buckling analysis.───在取定的初始幾何缺陷下,線性特征值屈曲分析和幾何非線性屈曲分析結果相差較小;

12 、generalised complex eigenvalue problem───廣義復特征值問題

13 、On the studying course of bottle structure flexure ,gain the loads and mode through extract the systematic eigenvalue,loads and placement-laods curves by relating to the non-linearity effects.───在研究瓶體結構屈曲過程中，通過提取系統(tǒng)的特征值獲得結構的載荷及模態(tài)。在計及非線性影響的情況下，得到載荷和位移-載荷曲線。

14 、As for computing the largest eigenvalue and its eigenvector of a higher-order real symmetric matrix in the algorithm, the power method is used.───對于算法中涉及的求高階實對稱陣的最大特征值及其特征向量，采用冪法加以實現(xiàn)。

15 、On Eigenvalue for a Class of Dissipative Mapping───一類耗散映象的固有值問題

16 、Then the principles of fault relaying based on travelling wave modes are presented.In the appendix, the general method of finding eigenvalue and eigenvector is stated for reference.───在附錄中還列出特征值與特征矢量的一般求法,以資與正文所述相對照。

17 、eigenvalue of ground carrying capacity───地基承載力特征值

18 、The method proposed in the paper is used to analyze IEEE 9-node system and FuJian power system and acquire eigenvalue's sensitivity of generator excition system.───在IEEE三機九節(jié)點電力系統(tǒng)和保留福州地區(qū)電網(wǎng)的等值福建電力系統(tǒng)中利用本文的方法進行了例題分析,獲得特征值對系統(tǒng)中各臺發(fā)電機勵磁系統(tǒng)的若干個參數(shù)的靈敏度。

19 、LARGEST EIGENVALUE OF A UNICYCLIC MIXED GRAPH───單圈混合圖的最大特征值

20 、Some applications of this method in the eigenvalue problems are demon-strated.───舉例說明了這方法在本征值問題中的應用。

21 、The eigenvalue equations of tile pined-pined column and the fixed-free column are given.───以兩端鉸支和一端固定、一端自由的含裂紋壓桿為例，結合其具體的邊界條件，導出相應的特征方程。

22 、Dirac Operator Eigenvalue's Trace Identity───Dirac算子特征值的跡公式

23 、For the adaptive eigenvalue decomposition (AED) time delay estimation algorithm, a new version combined with LMS time delay estimation is proposed, which converges more quickly to the new time delay value.───對于自適應特征值分解時延估計,結合LMS時延估計的新方法能夠更快地收斂到新的時延。

24 、The Solutions of eigenvalue and eigenfunction for three non-self-adjont situation are summrized.───對三種非自共軛情形下的本征值和本征函數(shù)的求解方法進行了歸納總結。

25 、This paper mainly improved the secant method t on eigenvalue of transfer matrix.The result shows that the method given can make error smaller and its credibility became better also.───將求傳遞矩陣特征值的割線法進行改進，使得計算結果的誤差變得較小，計算結果的可靠性增強。

26 、left and right inverse eigenvalue problems───奇異值分解

27 、Liao A P, Xie D X.Least-squares slolution of a class of inverse eigenvalue problems for bisymmetric nonnegative definite matrices [J ].Mathematica Numerica Sinica, 2001,23 (2): 209-218.───[8]廖安平,謝冬秀.雙對稱非負定陣一類逆特征值問題的最小二乘解[J].計算數(shù)學,2001,23(2):209-218.

28 、On the Eigenvalue of Two Kinds of Matrix───關于兩類矩陣的特征值

29 、Evaluates how the water resource were exploited in the littoral cities of Liaoning province in a fuzzy mode.The results show that the eigenvalue of exploitation level is 1. 7632, i. e.───利用模糊模式對遼寧省濱海城市水資源開發(fā)程度進行了識別評價,得出其級別特征值為1.7632,開發(fā)程度處于一級和二級之間,接近水資源的承載能力;

30 、On these grounds, the sensitivity of semisimple multiple eigenvalues of generalized eigenvalue problems is defined, and the sensitive elements of matrix pairs can be determined.───以所得結論為基礎，定義了廣義特征值問題半單重特征值的靈敏度，給出了確定矩陣對中敏感元素的方法。

31 、numerical method of generalized eigenvalue problem───廣義特征值問題數(shù)值解法

32 、ESB (Eigenspace-based) beamforming algorithm is introduced and an improved algorithm based on the largest eigenvalue is proposed on the base of it.───在深入研究基于特征空間(ESB: Eigenspace-based)波束形成算法性能的基礎上,提出了基于最大特征值的ESB 波束形成算法。

33 、Dirac Eigenvalue Problem in a Finite Interval───常型Dirac特征值問題

34 、Using the characteristics of pulse echo singal during the probe adjustment, a relation model between angle of incidence and time-domain eigenvalue of reflect wave signals was proposed.───分析了探頭調(diào)整時脈沖回波信號的變化特點,在實驗的基礎上構建了聲束入射角與表面波時域特征值間的關系模型。

35 、As applications of majorizing inequality of convex function of several variables, some majorizing inequalities of eigenvalue and singular value of matrix are obtained.───作為多元凸函數(shù)的控制不等式在矩陣方面的初步應用,獲得了矩陣特征值和奇異值的簡潔的控制不等式。

36 、The cumulative contributions of 3 .EGA(PCR)s selected according to eigenvalue were 63.8%, 84.3% and 96.0%, respectively.───對白榆全分布區(qū)20個群體的樣點6維環(huán)境因子PCA求算的EGA(PC_r),取r=1,2,3,建立3個生態(tài)梯度軸,累計貢獻率依次為63.8%,84.3%和96.0%,都能較好的代表環(huán)境因子。

37 、The Hermite polynomials are obtained from the eigenvalue problem by means of plausible reasoning.───從厄米本征值問題出發(fā)，經(jīng)過合情推理，歸納出厄米多項式的遞推公式，并猜想出通項公式。

38 、An Inversion and Eigenvalue Problem of a Matrix───一類矩陣的逆矩陣和特征值問題

39 、eigenvalue problem of elastic stability───彈性穩(wěn)定性的本征值問題

40 、The scalar is then called the eigenvalue associated with the eigenvector.───參見矩陣的特征值與特征向量的幾何意義。

41 、To this end we shall first consider the following eigenvalue problem.───為此目的,我們將首先考慮下列的本征值問題。

42 、As an application, we precisely expressed the expantion theorem and the eigenvalue s trace identity of the Sturm-Liouville problem under periodic boundary condition.───作為應用,給出了與此問題相關的特征展開定理及特征值的跡公式的精確表述。

43 、Generalized Eigenvalue Decomposition (GEVD)───廣義特征值分解（GEVD）

44 、To overcome the shortcomings of the methods to subjectively or objectively determine the weight of indexes, the group eigenvalue method combining with the variation coefficient method was adopted.───為解決用主觀賦權法和客觀賦權法確定指標權重存在的問題，?用群組決策特徵根法和變異系數(shù)法相結合的方法。

45 、In this thesis, we employ the meshless local Multiquadric Differential Quadrature method (LMQDQ method) to deal with the Poisson, Helmholtz eigenvalue and cavity flow problems.───在這篇論文中，我們應用區(qū)域多元二次微分積分法求解卜易松、赫姆霍茲特徵值與穴室流場問題。

46 、It is proved that the unit matrix is a power sequence limit of A,if A is a unitary matrix, and that a complex matrix has a power sequence limit,iff r(A)───并證明了矩陣 A 有一冪序列極限的充要條件是 A 的譜半徑 r(A)

47 、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(guī)矩陣的研究應用中，這些定理將比它們的特例-廣義特征值定理更可靠，能提供更多的信息。

48 、left and right inverse eigenvalue problem───左右逆特征值問題

49 、The Eigenvalue Problem of a Type of Matrixes───一類矩陣族的特征值問題

50 、Third, made the table of statistical mean eigenvalue in fluctuant range and built the matrix of weighted eigenvalues.───在此基礎上，建立對應指標的統(tǒng)計均值波動區(qū)間的值域表，并確定各指標的權重和建立權重系數(shù)矩陣。

51 、the first eigenvalue of the Laplacian───Laplace算子的第一特征值

52 、A sparsity-based critical eigenvalue technique in small signal stability analysis of large power systems is presented.───2. 提出了一種基于稀疏技術的關鍵特征值求解方法。

53 、The analysis results show that non-linear buckle analysis get smaller value than eigenvalue.So, if we just adopt eigenvalue, we will not get the true buckle strength of structure.───分析結果顯示，執(zhí)行非線性挫曲分析后所得之結果均較挫曲特徵值小，因此若僅僅求解挫曲特徵值將會高估整體結構之挫曲強度。

54 、Right, give me the eigenvalue of that particle factoring in spectral decomp.─── 好吧 把那個粒子的特征值 進行光譜分解

55 、An eigenvalue on the New England test power systems validates effectiveness of the method and the robustness of the resulted PSS parameters against the variations of system operating mode.───在新英格蘭典型系統(tǒng)上的特征值分析表明，該方法是一種有效的PSS優(yōu)化方法，所得的參數(shù)對系統(tǒng)運行方式的變化具有良好的魯棒性。

56 、parameter dependent eigenvalue problem───帶參數(shù)的特征值問題

57 、Its discrete [[eigenvalue]]s are called [[potential energy surface]]s and the corresponding [[eigenstate]]s the electronic states of the molecule.───分子的電子哈密頓量的本征值構成分子的勢能面，相應的本征態(tài)（函數(shù)）稱為分子的電子態(tài)。

58 、We researched the subspace eigenvalue decomposition and weighted subspace fitting techniques in the beamspace.───在波束空間內(nèi)，研究了相干信源子空間分解技術和加權子空間擬合技術。

59 、The Problem of Eigenvalue for States System───具有四個狀態(tài)的系統(tǒng)特征值的存在性

60 、eigenvalue of structural stiffness───剛度特征值

61 、Perron-Frobenius eigenvalue(PFE)───Perron-Frobenius特征值

62 、Moreover, taking quadrupolar-shaped microcavity as example, it deduces the eigenvalue equation which contains the propagation constant.───并以四極子狀微腔截面為例,推導了含有傳播常數(shù)的本征方程。

63 、Second, as a reference, the eigenvalues of one printer were extracted to make the sequence of relative difference of eigenvalue and to build database.───再選定一種機型為參照，對各種機型相同字上述指標測量值及其幾種組合的計算值，形成相對差值指標序列，建立信息數(shù)據(jù)庫。

64 、D.X.Xie, L.Zhang and X.Y.Hu, Least-square solutions of inverse eigenvalue probem of bisymmetric matrices, Math. Numer Sinica, 1(1999) 62-72.───廖安平,謝冬秀,雙對稱非負定矩陣一類逆特征值問題的最小二乘解,計算數(shù)學,23:2(2001)209-218

65 、In this paper, an analysis method of eigenvalue buckling of bottom-hole assembly is proposed based on finite element analysis, and some cases are analyzedand calculated.───以有限元分析為基礎,對不同組合的下部鉆具建立了特征值屈曲分析分法,在此基礎上進行了實例計算。

66 、If only the eigenvalue of A and not the eigenfunctions are desired, it is not necessary, according to Section 3. 3, to obtain the transformation matrix S.───假如僅需求出A的本征值而不要求出本征函數(shù),那么按照本章第3.3節(jié),就不必求出變換矩陣S。

67 、The results show that the different development stages of mixing layer is closely related with its nonlinear eigenvalue.───發(fā)現(xiàn)混合層發(fā)展的不同階段與其系統(tǒng)的非線性特征值密切相關。

68 、Wind-induced vibration,Parameter vibration,Viscous material,Complex eigenvalue method,Vibration-controlled aim,Design tiptop temperature,Available shear area.───01風致振動,參數(shù)振動,粘性材料,復特征值法,制振目標,設計最高溫度,有效剪切面積

69 、In order to investigate and develop numerical calculation method for Schr odinger equation,we apply the finite difference method to eigenvalue problems in quantum mechanics.───為研究和發(fā)展薛定諤方程的數(shù)值計算方法,本文將有限差分法應用到量子力學求解薛定諤方程本征值問題。

70 、left and fight inverse eigenvalue───左右逆特征值

71 、the largest eigenvalue of a graph───不可約圖

72 、When A is a nonnegative definite matrix with finite maximum eigenvalue, the strong convergence of random quadratic forms is established under finite fourth moment.───當A為非負定矩陣且其最大特征根有限,隨機變量存在有限的四階矩情形下,獲得了二次型的強收斂。

73 、Threshold conditions of a diode laser array(DLA)phase-locked in an external cavity have been obtained by using the eigenvalue of the coupled-mode matrix.───利用耦合矩陣本征值求得了外腔鎖相二極管激光列陣的各階超模所應滿足的閾值條件 ,研究了激光器前端面剩余反射和外腔長度對各階超模閾值增益的影響。

74 、We prove that 0 is the eigenvalue of the system's host operator, and finally we give the eigenvector of the eigenvalue 0.───并證明了0是系統(tǒng)主算子的本征值，給出了0本征值對應的本征向量。

75 、In this paper,based on the grey relational degree and relational discr epency degree,by combining with eigenvalue of grade variable,a new model of gre ymode identification is established.───在灰色關聯(lián)度的基礎上，以定義的關聯(lián)差異度為測度，并結合級別變量特征值，構造了一種新的灰色模式識別理論模型。

76 、Kurtosis is an eigenvalue of normal distribution of the image.───峰度是一個能表征圖像是否呈正態(tài)分布的特征值。

77 、Thus, eigenvalue buckling analysis often yields unconservative results, and should generally not be used in actual day-to-day engineering analyses.───即特征值穩(wěn)定分析是非保守的，不應該用于日常的工程分析中，應該采用非線性屈曲分析。

78 、The sparse finite element is considered for solving eigenvalue problems. Based on an interpolation postprocessing, superconvergence estimates of both eigenfunction and eigenvalue are obtained.───應用稀有限元方法討論特征值問題的求解，通過**值后處理，得到了特征值和特征函數(shù)的超收斂結果。

79 、The characteristics of the eigenvalue problem of general viscoelastic structure are analyzed and its modal analysis method is put forward in this paper.───分析了一般粘彈結構特征值問題的特點，建立了一般粘彈結構的模態(tài)分析方法。

80 、D.X.Xie,L.Zhang and X.Y.Hu,Least-square solutions of inverse eigenvalue probem of bisymmetric matrices,Math.Numer Sinica,1(1999) 62-72.───廖安平,謝冬秀,雙對稱非負定矩陣一類逆特征值問題的最小二乘解,計算數(shù)學,23:2(2001)209-218.

81 、Francis QR method is efficient way to calculate the complex eigenvalue of matrix.───雙步QR法是求解一般矩陣特征值問題的有效方法,但在實際應用過程中存在一些不足。

應力矩陣的特征值？

特征值是線性代數(shù)中的一個重要概念。在數(shù)學、物理學、化學、計算機等領域有著廣泛的應用。

設 A 是n階方陣，如果存在數(shù)m和非零n維列向量x，使得 Ax=mx 成立，則稱 m 是A的一個特征值（characteristic value)或本征值（eigenvalue)。

非零n維列向量x稱為矩陣A的屬于（對應于）特征值m的特征向量或本征向量，簡稱A的特征向量或A的本征向量

矩陣的特征值與特征量？

設 A 是n階方陣，如果存在數(shù)m和非零n維列向量 x，使得 Ax=mx 成立，則稱 m 是矩陣A的一個特征值（characteristic value)或本征值（eigenvalue)。