linear independence 中文意思是什麼

linear independence 解釋
線性獨立
  • linear : adj. 1. 線的，直線的。2. 長度的。3. 【數學】一次的，線性的。4. 【動、植】線狀的；細長的。5. 由線條組成的，以線條為主的，強調線條的。
  • independence : n. 1. 獨立，自主，自立 （of; on）。2. 足夠維持閉居生活的收入。3. 獨立心，自恃心。
  1. Linear independence of the integer trans - lates of compactly supported distribu - tions and refinable vectors

    緊支集分佈和可加細向量的整平移的線性相關性
  2. In particular, as another important contribution, in the third algorithm the strong linear independence condition is slacked to a much milder assumption, by which the wachter - biegler phenomenon can be significantly avoided, and however all desirable convergence properties remain uneffected

    在這種情況下，病態wachier一biegler現象（參見[ 4 ）就會在演算法中發生。 tits等最近在2 ]中提出了一種雙重內點演算法，在保證收斂性質不受影響的前提下，該演算法大大減弱了以上線性無關條件。
  3. The independence of two d - dimensional random vectors is tested by employing the linear rank statistics based on depth function

    利用基於深度函數的線性秩統計量檢驗兩d維隨機向量的獨立性。
  4. This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices

    此課程提供了對線性代數嚴謹的處理，包括向量空間、線性方程組、基底、線性獨立、矩陣、行列式、特徵值、內積、二次式、和矩陣的標準型式。
  5. In this paper, the general structure of block cipher together with its related properties is firstly discussed, then the main non - linear component of s - boxes in block cipher is analyzed. as to the boolean function in binary field, we studied its non - linearity, linearity structure, output bit independence criterion ( big ), balance, completeness, strict avalanche criterion, propagation criterion, correlation immunity, linear approximation table and xor distribution table. we also discussed the pile - up lama used to compute the combination linear probability and showed an instance of its application

    本文首先討論了分組密碼的一般結構及其相關特性，此外還有分組密碼主要的非線性組成部分s盒。對於二元域上的布爾函數主要討論了其非線性性、線性結構、比特獨立準則、平衡性、完整性、雪崩準則、傳播準則、相關免疫性、線性分佈表及異或分佈表等特性。對計算組合線性概率的迭加定理我們也進行了具體的討論，並給出了運用事例。
  6. Equality condition of retaining the independence of normal random variables under linear transformation

    正態隨機向量線性變換獨立不變性的充要條件
  7. 2 ) by analyzing the information and conditional information description mechanism of system states, the problem of stochastic model reduction is investigated based on state aggregation. the information loss and conditional information loss between the full - and reduced - order models are measured by entropy, while the independence and conditional independence within me components of aggregated state are measured by kullback - leibler information distance. several model reduction methods for stable and unstable linear systems are derived by employing two criteria to get aggregation matrices : the minimal information loss and the maximal independence

    2 ）分析了隨機系統狀態空間模型中的信息和條件信息描述機制，以shannon熵為手段描述線性系統模型降階過程中的信息和條件信息損失，以kullback - leibler信息作為衡量降階模型狀態向量各分量之間統計獨立性的測度，針對穩定和不穩定系統研究基於狀態集聚的模型降階問題：分別運用最小信息損失準則和最大獨立性原則，得出幾種狀態集聚的信息論方法，並討論降階模型的性質、階次的確定、系統噪聲分佈特性等問題。
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