dimension of a vector space 中文意思是什麼

dimension of a vector space 解釋
向量空間的維數
  • dimension : n 1 尺寸。2 【數學】次元，度（數），維（數）。3 【物理學】因次，量網。4 〈pl 〉容積；面積；大小，...
  • of : OF ＝Old French 古法語。
  • a : an 用在以母音音素開始的詞前〉 indefinite art 1 〈普通可數名詞第一次提到時，冠以不定冠詞主要表示類...
  • vector : n 1 【數學】向量，矢量，動徑。2 【航空】飛機航線；航向指示。3 【天文學】幅，矢徑。4 【生物學】帶...
  • space : n 1 空間；太空。2 空隙，空地；場地；（火車輪船飛機中的）座位；餘地；篇幅。3 空白；間隔；距離。4 ...
  1. In this paper, we brought out the concept of “ ergodic matrix ”, and gave out the recursion formula ( ii ) which can construct the ergodic matrix q with n n dimensions using a vector with n dimension. that is, we can delegate n2 bits ergodic matrix q using n bits integer vector, at the same time save the complexity of space and time

    在此基礎上，本文對利用遍歷矩陣生成信息摘要以及利用它們實現一般數字簽名和具有仲裁方式的數字簽名的演算法及應用進行了相關的一些研究，對演算法的強度進行了分析，並用程序對演算法進行了驗證。
  2. On this basis, the color characteristic in this system we extract is : a 72 bit vector of one dimension by statistical color histogram in hsv space ; a set of color average of sub - images and a set of position of sub - images by dividing the original image and using statistic information of pixels " color ; a set of representative color of an image using a suitable cluster algorithm in the hsl space

    基於這方面的考慮，提取圖像的顏色特徵有：在hsv顏色模型空間中進行顏色直方圖統計得到一個72bit一維矢量；將圖像在縱橫方向進行平均分割，以各個分割快中像素的色彩平均值和分割塊在圖像中的位置作為圖像的像素坐標空間特徵；在hsl顏色模型空間，通過適當的聚類分析演算法提取出能夠代表圖像顏色特徵的代表色集。
  3. The linear algebra as a branch of mathematics is the science, which takes matrix theories as center and limited dimension vector space combining with matrix, namely the theories of the linear space and linear transformation, as the object

    線性代數是代數學的一個分支，它以矩陣理論為中心，以與矩陣結合的有限維向量空間即線性空間和線性變換的理論為對象的一門科學。
  4. What the practical problems is often gotten is a single variable time series which has a time interval of t, reflect by a lot of interactive physics factor, containing the mark of all variates participating in movement, traditional time series analysis is to analyse going from this array to the form directly it ' s time develops, one dimension analysis loses useful information, the characteristics of phase space reconstruction method is to construct one dimension scalar quantity to high dimension vector, prop the geometry space of the state, show all dynamical information of system in phase space. the characteristic that just constructs again according to the phase space in this text, analyse the time series of responding, use the relevant knowledge of symbol dynamics and reconstruct phase space, put forward a kind of relation degree analysis method of the systematic mathematics model which has theory basis, so reach the correction of calculation mathematics model, make it accord with the actual systematic state

    實際問題中常常得到的是一個時間間隔為t的單變量的時間序列，它是許多物理因子相互作用的綜合反映，蘊藏著參與運動的全部變量的痕跡，傳統的時序分析是直接從這個序列去形式地分析它的時間演變，一維分析必然喪失許多有用信息，相空間重構方法的特點是把一維標量數據構造成高維矢量，支起狀態的幾何空間，在相空間中展示系統全部動力信息。本文正是根據相空間重構的特點，對響應時間序列進行分析，利用符號動力學、重構相空間等方法，提出一種有理論依據的系統數學模型關聯度分析方法，從而達到修正計算數學模型，使其更符合實際系統狀態的目的。
  5. This article proves that primary transformation of line in a matrix is used to judge the dependence and equivalence of vector set as well as the linear representation of vector and to evaluate the radix and dimension of sum and intersection of vector space

    給出了利用矩陣的初等行變換，判斷向量組的相關性，向量組的等價及求向量子空間的和與交的基和維數的方法。
  6. But, such a vectorization will bring at least three potential problems : 1 ) structural or local contextual infor mation may be broken down ; 2 ) the higher the dimension of input pattern, the more me mory space are needed for the weight vector related to a classifier ; 3 ) when the dimension of a vector pattern is very high and while the sample size is small, it is easy to be overtrained

    如此轉換至少會帶來三個不足: 1 ）空間或結構信息可能會遭到破壞; 2 ）由於權向量的維數等於輸入模式的維數，當輸入模式維數很大時，權值的存儲空間相應的會很大; 3 ）對于大維數的向量模式，當樣本數不多的時候，利用線性分類器易導致過擬合。
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