algebraic difference 中文意思是什麼

algebraic difference 解釋
代數差
  • algebraic : adj. 代數的，代數學（上）的。adv. -ically 代數學上。
  • difference : n. 1. 差異，差別。2. 不和，爭論。3. 【數學】差，差額。4. 【邏輯學】特殊性。vt. 〈罕用語〉區別，使有差別。
  1. The classic difference scheme of euler is employed to solve the forward problem, and the truncated singular value decomposition is used to solve the ill - conditioned system of algebraic equation

    用古典歐拉差分格式求解正問題，用截斷奇異值分解法求解病態方程組。
  2. With the characteristic function method, necessary and sufficient algebraic criteria have been developed for a class of three - delay linear difference systems. the key of the criteria is to verify that the value of a trigonometric polynomial is less than one

    藉助特徵函數法，獲得了一類三時滯線性差分系統的充要代數準則，其核心是判定某三角多項式的值小於1 ，這一問題由繪圖法解決。
  3. In the procedure, the column is first divided into a finite number of small segments in equal length. the deflection - curvature relation of each segment is determined using the finite - difference method. the final nonlinear algebraic equations are then obtained by means of the equilibrium condition for each segment

    運用這種方法，先將長柱離散成若干等長的柱段，利用差分方法求得各柱段截面上的撓度與曲率的關系，再根據各截面上外力與抵抗力的平衡條件，得到一組關于荷載與變形關系的非線性代數方程組；本文對該方程組採用載荷增量法進行迭代求解。
  4. Difference from other algebraic structures which are introduced for some logic system, implication algebra is a abstraction of one logic connective, i. e. implicative operator, and other operators in it are all introduced by implicative operator. the main results of this paper is given as the following : 1

    特別值得提出的是，與其它為研究邏輯系統而引入的代數結構不同，蘊涵代數是對一個邏輯聯結詞，即蘊涵運算元（蘊涵邏輯聯結詞）抽象而得到的，其它運算元均是由蘊涵運算元誘導而得到。
  5. The study on the stability switches of functional differential difference equations is an important research branch of the stability theories, which of both the theory and its applications has broad prospects. the first part of this paper, chapter 2 and 3, deals with the stability switches for two classes of retarded differential difference systems, respectively. by analyzing the characteristic roots of characteristic equations, some algebraic criteria of stability switches are established, which are useful and easy to verify

    穩定性開關是泛函微分方程穩定性理論中的一個重要分支，無論是理論本身還是它的應用都有廣泛的前景，本文的第一部分（第2章、第3章）分別討論兩類二階滯后型微分差分系統的穩定性開關，通過分析特徵方程的特徵根，我們給出了存在穩定性開關現象的實用而又易於驗證的代數判據，並利用計算機模擬驗算了一個具體例子。
  6. By using the solutions of a new auxiliary elliptic equation, a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations. the main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation. therefore, the derived algebraic equations are greatly simplified. meanwhile, the obtained new solutions contain more parameters to be chosen. for some special cases, they give the previous known solutions. it is shown that some new exact periodic solutions of some nonlinear evolution equations are explicitly obtained with the aid of symbolic computation

    利用一個新的輔助橢圓方程將求解非線性發展方程精確解的問題轉化為一個代數方程組進行求解，與已有的輔助橢圓方程法的主要不同是，應用這一新的輔助橢圓方程后降低了平衡次數，減少了所得的代數方程組的個數和方程的項數，從而大大地簡化了代數方程組的求解.同時，由於輔助橢圓方程的解中包含了更多的可選參數，從而給出了非線性發展方程的更多形式的解.作為應用，藉助于計算機的符號計算，求得了一些非線性發展方程的新的精確周期解
  7. With the spectral theory of matrices, three sufficient algebraic criteria have been developed for the above multiple - delay linear difference systems. the key of the criteria is to verify that the sum of the spectrum or norm of system matrices is less than 1

    藉助矩陣的譜理論，獲得了上述多時滯線性差分系統的充分代數準則，其核心是判定系統矩陣的譜或范數之和小於1 。
  8. Based on the above knowledge, the core components s - boxes of the rijndael algorithm and the camellia algorithm, which are the only nonlinear components, are analyzed and compared in detail. eight algebraic properties of s - boxes such as balanceness, strict avalanche criterion, differential uniformance, algebraic order, and so on are calculated and proved. the reason that the s - boxes which are constructed by the inverse operation on finite field has the specialty of 4 - difference is analyzed

    在此之後，本論文分針對rijndael和camellia演算法的核心部件，也是唯一的非線性部件s盒進行了詳細的分析和比較，計算並證明了s盒的平衡性、嚴格雪崩準則、差分均勻度、代數次數等八種代數性質，特別給出了通過有限域上的取逆運算構造的s盒其差分特性為4的原因，最後計算了兩個演算法s盒的兩種代數結構，表明rijndael和camellia演算法的s盒均具有良好的代數性質和復雜的代數結構，為今後兩種演算法在各個領域的應用提供了理論保障。
  9. A brief introduction to the characteristic set method is given for solving algebraic equation systems and then the method is extended to algebraic difference systems. the method can be used to decompose the zero set for a difference polynomial set in general form to the union of difference polynomial sets in triangular form

    部分實現腦力勞動機械化使計算機具有某些智能行為，將為科學研究與技術創新提供有力工具使科研工作者擺脫繁瑣的甚至是人力難以達到的工作，將自己的聰明才智集中到更高層次的創新性研究。
  10. The convergences of p - mean symmetric difference metric about algebraic operations

    平均對稱度量關于代數運算的收斂問題
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