recursive theory 中文意思是什麼

Thus chaos theory is, very generally, the study of forever changing complex systems based on mathematical concepts of recursion, whether in the form of a recursive process or a set of differential equations modeling a physical system

通常混沌理論是研究建立在數學遞歸概念基礎的上永遠改變復雜系統，無論以回歸過程形式或建立微分方程物理系統模型。

The thesis, applies the auto - adaptive theory to the arithmetic for mese ( maximum entropy spectral estimation ), and presents new lsll arithmetic for mese, which is based on method of the recursive least square with forgetting factor

將自適應理論引入最大熵譜估計的演算法研究中，提出帶遺忘因子的基於最小平方準則的最大熵譜估計lsll格梯型演算法。最大熵譜估計演算法的定階準則研究。

Professor prescott s contributions go well beyond macroeconomics. he is noted for his contribution to general equilibrium theory, in particular recursive competitive equilibrium and the extension of valuation equilibrium theory to an important class of environments with private information

普利斯克特教授的貢獻不限於宏觀經濟學。他以一般均衡理論著稱，特別是在遞回競爭性均衡的研究和將價值均衡理論伸展至私有資訊存在的情況。

Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered

本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識，並以頻譜理論作為主要研究工具，對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究，給出了廣半bent函數定義，並探討了廣半bent函數的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件；討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系，探討了它們的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法，並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上；利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法，還給出了從已有的p值k階擬廣義bent函數出發，遞歸構造變元個數更多的p值k階擬廣義bent函數的方法；初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用；給出了一類布爾函數walsh譜的分解式，並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造，特殊情形下為k階擬bent函數；利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵，並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。

The first algorithm uses an iterative self - organizing data analysis technique and fuzzy clustering analysis theory. it is fast, simple and easy for programming, but more suitable for small system. the second one is a recursive algorithm

首先採用模糊聚類分析中的迭代自組織數據分析技術（ iterativeself - organizingdataanalysistechniquea ） ，提出了改進isodata不良數據辨識法；其次，提出了遞推不良數據辨識法。

Study the spectral de - aliasing method of image restoration in frequency domain, and offer the improvement with block processing and recursive rstoration to some problems. at the same time, the biased estimate theory is applied in the restoration processing. these improved steps increase the value in the use of data and decrease the time of computation

2 、研究了基於頻率域的解頻譜混疊方法，針對該方法存在的問題，分別提出了分塊重建和循環重建，提高了重建的效率；並將有偏估計用於重建理論中，提高了影像數據的利用率。

This paper studies 3 kinds of algorithms : the viterbi algorithm, multiresolutional algorithm based on wavelet transformation and bayesian bootstrap algorithm. the viterbi algorithm is based on the hidden markov model theory and it is a kind of map estimation, this paper studies this algorithm and puts up an algorithm that suits for filtering in the presence of interference. multiresolutional algorithm takes full advantage of multiresolutional data, we can see it has a better filtering ability than the traditional filtering methods ; bootstrap algorithm is a recursive bayesian estimation, it describes the probability density function by the samples, so it can be used to nonlinear non - gaussion filtering, the simulation result of the two groundings is presented

Viterbi演算法以隱馬爾可夫理論為基礎，是一種最大后驗概率估計方法，本文對該演算法進行了研究，給出了一種適合於非高斯干擾條件下的濾波方法；多分辨分析方法充分利用到了多解析度測量數據所包含的信息，從模擬結果中可以看出，該方法的濾波精度要高於傳統的濾波演算法；自主濾波方法是一種遞推貝葉斯估計演算法，它利用采樣點來描述目標狀態的概率密度函數，因而適用於非線性、非高斯條件下的濾波，本文分別對這兩種情況下的濾波進行了模擬。

Then, using recursive arithmetic calculated reliability indices for directory tree, the method was realized by vb program ; the other is a method of reliability evaluation by interval arithmetic, which is the use of interval arithmetic to evaluate reliability, and the computation theory is also given. during the calculation, interval number replaced the component " s parameter and it takes into consideration the uncertainty of all of the parameters. in the study of power distribution system configuration, a new configuration model is set up which takes into account simultaneously the losses minimization and system reliability, then improved genetic arithmetic is described detail and of advantage for solving this problem

在配電網可靠性評估的研究中，提出了兩種實用的配電網可靠性評估方法：其一是利用網路分層和遞歸演算法理論，使用高級語言進行程序設計，提出了一種基於vb編程的配電網可靠性評估方法，該方法通過程序實現了網路拓撲結構的分層等效和可靠性指標的遞歸計算，使整個計算過程得到了簡化，並且界面窗口的可視化，使得評估過程便捷、形象；其二是提出了一種基於區間演算法的配電網可靠性評估方法，該方法是一種利用區間理論計算配電系統可靠性的不確定性評估方法；文章給出了區間運算的原理；討論了配電系統中區間數據的來源途徑，並用區間數代替元件的可靠性參數，對輻射形配電網進行了可靠性評估。

Under the comprehensive research and generalization of digital image processing, we got the general procedure about digital image processing. based on the general procedure, following the agile method and extreme programming, applying the recursive procedure composed by require analyze 、 framework design 、 coding, finally we got a experimental 、 stable 、 opened score platform. we checked the theory by practice

通過對數字圖像處理的全面研究和總結，得出數字圖像處理的一般過程，以此一般過程為基礎，按照敏捷思想和極限編程方法，通過需求分析，架構設計，編碼等幾個不斷迭代進行的階段，最終開發出一個具有實驗性質的、穩定的、開放的評估平臺，運用實踐來檢驗了理論。

In the research of the algorithms and theory of temporal difference learning, a new class of multi - step learning prediction algorithms based on linear function approximators and recursive least squares methods is proposed, which are called the rls - td ( t ) learning algorithm. the convergence with probability one of the rls - td ( t ) algorithm is proved for ergodic markov chains, and the conditions for convergence are analyzed

在時域差值學習（ temporaldifferencelearning ）學習演算法和理論方面，首次提出了一種基於線性值函數逼近的多步遞推最小二乘td （ ） （ rls - td （ ） ）學習演算法，並分析和證明了該演算法在求解遍歷markov鏈學習預測問題中的收斂條件和一致收斂性。

Based on the multi - level recursive analysis and the grey system theory, the forecast models on the safety assessment of the levee engineering are founded. and with the modern computer technique of software and hardware, the precautionary mode of the safety assessment of the levee engineering is designed

5 、利用回歸分析方法和灰色系統理論建立了堤防工程安全預報模型，初步設計了堤防工程安全預警系統模式，並開發研製了堤防安全監測實時評價軟體。