nullity，英語單詞，主要用作名詞，作名詞時譯為“無效；無價值的事物或人；[數] 零度；退化階數”。
函式f在臨界點p的退化階數（nullity）就是黑塞矩陣的零空間的維數。簡介 退化階數是莫爾斯理論的一個概念。函式f在臨界點p的退化階數就是黑塞矩陣的零空間的維數。莫爾斯理論 莫爾斯理論是微分拓撲學中利用微分流形上僅具非退化臨界點的實值可微函式（稱為莫爾斯函式）研究所給流形性質的分支。它是H.M.莫爾斯在20...
零化度 零化度（nullity）是1993年公布的數學名詞。公布時間 1993年，經全國科學技術名詞審定委員會審定發布。出處 《數學名詞》第一版。
線上性代數中，秩-零化度定理給出了一個線性變換或一個矩陣的秩(rank)和零化度(nullity) 之間的關係。簡介 對一個元素在域F中的矩陣，有： 同樣的，對於一個從 F線性空間V射到 F線性空間W的線性變換T：T: V→ W， T的秩是它的象的維度，T的零化度是它的核（零空間）的維度。我們有： 也就是： ...
如果A是矩陣，它的零空間就是所有向量的空間的線性子空間。這個線性子空間的維度叫做A的零化度(nullity)。這可以計算為在矩陣A的行梯陣形式中不包含支點的縱列數。秩-零化度定理聲稱任何矩陣的秩加上它的零化度等於這個矩陣的縱列數。對應於零奇異值的A的右奇異向量形成了A的零空間的基。A的零空間可以用來找到...
叫作A的零化度(nullity)或補秩(corank)。它是從A中移除元素使得A成為獨立集的最小移除數量。E在擬陣M上的零化度叫做M的零化度或M的補秩。閉包運算元 Closure operators：設M是有限集E上的一個擬陣，其秩函式有上述定義。E的子集A的閉包cl(A)的定義如下：閉包運算元 擁有如下性質，其中 表示冪集。1. 對於...
一般地，矩陣的秩和其零空間的維數加起來等於矩陣的列數。一個矩陣的零空間的維數稱為矩陣的零度(nullity)。定理3(秩一零度定理) 若 為一m×n矩陣，則 的秩與 的零度的和為n。相關定理 定理4 兩個行等價的矩陣有相同的行空間。證明： 若 B 行等價於 A ，則 B 可由 A 經有限次行運算得到。因此，B ...
7.2 Properties for index and nullity 7.3 Solutions of operator equations 7.4 Multiple solutions for symmetric operator equations 7.5 Three solution theorems Chapter 8 Operator Equations（II）8.1 Index theory 8.2 P-index 8.3 Ekeland's type of index theory 8.4 Existence of solutions 8.5 ...
54. S.C. Li, On the nullity of graphs with pendent vertices, Linear Algebra Appl. 429 (7) (2008) 1619--1628. (SCI)55. S.C. Li, N.N. Li, On minimal energies of trees with given diameter. Electron. J. Linear Algebra 17 (2008) 414--425. (SCI)56. X.Y. Geng, S.C. Li,...
Wang, Wenjie,Liu, Ximin.Almost Kenmotsu 3-Manifolds Satisfying Some Generalized Nullity Conditions[J],FILOMAT,2018,32(1):197-206 Liu, Ximin,Zhang, Ning.Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times[J],ADVANCES IN MATHEMATICAL PHYSICS,2018 著作成果 複變函數 複變函數與...
The Nullity and Revocation of the Resolution of Shareholders Meeting under German Law and their Implications to ChinaTang Xiaolin Resolution of International Civil and Commercial Disputes On the Public Law Nature of investment ArbitrationYu Hai’ou Theory of Unbalanced Protection of Interests in ICSID ...
10. Guojun Li, Aimei Yu, A characterization of bicyclic signed graphs with nullity n-7, Journal of Mathematical Research and Exposition, 1(2015), 1-10.11. Aimei Yu ,Ordering trees by their spectral radii, Acta Mathematicae Applicatae Sinica (English Series), 30-4(2014)12. Aimei Yu , ...
1. Rula Sa, An Chang, and Jianxi Li, The nullity of bicyclic graphs in terms of their matching number, Mathematical Research with Applications, 36（6）631-642 2. Rula Sa, An Chang, and Yirong Zheng, The extremal graphs with respect to their nullity, Journal of Inequalities and Applications...
The Rank Plus Nullity Theorem Linear Transformations from Fn to Fm Change of Basis Matrices The Matrix of a Linear Transformation Change of Bases for Linear Transformations Equivalence of Matrices Similarity of Matrices Similarity of Operators Invariant Subspaces and Reducing Pairs Projection Operators Topol...
[30]Ma Xiaobin, Wong Dein,Tian Fenglei,Nullity of a graph in terms of the dimension of cycle space and the number of pendant vertices,Discrete Applied Mathematics,215(2016)171-176.（SCI）[31]Fenglei Tian, Dein Wong,RouJianling,Proof for four conjectures about the distance Laplacian and ...
7 Rank and the Rank-Nullity Theorem 8 Orthogonal complements and orthogonal projection 9 Row Echelon Form of a Matrix 10 Inhomogeneous systems 2 Analysis in Rn 1 Open and closed sets in Euclidean Space 2 Bolzano-Weierstrass, Limits and Continuity in Rn 3 Differentiability 4 Directional Derivatives,...
for nullity and such.For once to stop this buzzing and the lights inside my head.Can I please have truly nothing,once before I'm dead?There's a promise in the back room. See it written in the bathroom.You tell a little lie and then you try to get us in your bedroom.Yo...
227. Ming-Jing Zhao, Teng Ma, Tinggui Zhang, Shao-Ming Fei, Von Neumann Measurement-related Matrices and nullity condition for quantum correlation, Sci. China Phys. Mech. & Astron. 59 (2016) 120313.228. Shao-Ming Fei, Entanglement concentration of W-class states on nonlocal atoms using...
