continued fraction 連分數。
連分數。 “continue“ 中文翻譯： vi. 1.連續，繼續；延伸。 2.仍舊，依舊，留。 短 ...“fraction“ 中文翻譯： n. 1.小部分，碎片，片斷。 2.一些，一點兒。 3. ...“continued fraction approximation“ 中文翻譯： 連分式逼近“continued fraction expansion“ 中文翻譯： 連分式展開式“continued fraction method“ 中文翻譯： 連續分數法“continued-fraction approximation“ 中文翻譯： 連分式逼近; 連分數近似“continued-fraction expansion“ 中文翻譯： 連分式展開式“continued-fraction method“ 中文翻譯： 連續分數法“continued-fraction statement“ 中文翻譯： 連續語句“convergent continued fraction“ 中文翻譯： 收斂連分數“corresponding continued fraction“ 中文翻譯： 對應連分式“diagonal continued fraction“ 中文翻譯： 對角連分數“expansion into continued fraction“ 中文翻譯： 連分式展開式“finite continued fraction“ 中文翻譯： 有限連分數“infinite continued fraction“ 中文翻譯： 無限連分數“infinite regular continued fraction“ 中文翻譯： 無限正則連分數“kettenbruch continued fraction“ 中文翻譯： 連分數“non-terminating continued fraction“ 中文翻譯： 無盡連分數“normal continued fraction“ 中文翻譯： 正規連分數“periodic continued fraction“ 中文翻譯： 循環連分數“pure recurring continued fraction“ 中文翻譯： 純循環連分數“recurring continued fraction“ 中文翻譯： 循環連分數“regular continued fraction“ 中文翻譯： 正則連分數“simple continued fraction“ 中文翻譯： 簡單連分數; 正則連分數“simple continued fraction expansion“ 中文翻譯： 簡單連分數展開
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In this thesis , a semi - classical model of the force on an atom is used to describe the motion of a two - level atom interacting with a standing wave laser field . the velocity dependent force and momentum diffusion are derived through optical bloch equations by using the matrix form of the continued fraction technique . by investigating the dynamic properties of atoms in laser field , we can control and manipulate the mechanical motion of an atom 本文利用半經典理論，從二能級原子在激光駐波場中所滿足的運動方程出發，推導出密度矩陣元所滿足的遞推關系，利用矩陣連分數方法求解出密度矩陣元，從而求出依賴于原子運動速度的光壓力與動量擴散系數，通過討論原子在激光場中的動力學行為，為原子在激光場中被囚禁、形成原子列陣以及可控制的量子態，從而為量子信息處理提供理論基礎。 |
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There are a lot of methods of 2d object metamorphosis . the current algorithms have advantages and disadvantages . whether the shape morphing algorithms or image morphing algorithms are concerned , most of them deal with the morphing between two objects . in this thesis , an algorithm of the morphing among multiple 2d objects is presented with the aid of theory of continued fractions 二維物體漸變技術實現方法多種多樣，目前提出的算法各有優缺點，無論是形狀漸變算法，還是圖象漸變算法，它們中的大多數都是處理兩個物體之間的漸變。在本文中，利用連分式理論，提出了一種在多個二維物體之間進行漸變的算法。 |
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With the review of digital image properties and continued fractions theory , this dissertation focuses on the study of the image interpolation and image reconstruction ; the main contributions are as fallows : first of all , the methods of solving the problem of inverse difference being infinite are successfully found while constructing the thiele - type continued fractions . in this case it is proposed to reorder the set of interpolating points and then construct a thiele - newton blending continued fraction 本文的主要工作可歸納如下：首先，在以圖像像素為插值節點集，構造連分式插值函數過程中出現逆差商為無窮大的情況，給出了合理的解決辦法，提出了重新調整插值節點集的節點順序、構造thiele - newton型混合有理的插值方法。 |
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And in this part , the algorithm of polygons is emphasized . the second part is focused on image morphing . after expatiating its principal algorithms and mature methods , a method among multiple images is presented and analysed in detail . second , in the second chapter of this thesis , the basic theories and methods are systematically discussed , especially thiele continued fractions , because it is the main interpolation tool in the experiments . and finally , the processes and results of experiments in the application of continued fractions to 2d object metamorphosis are given , and detailed analyzing and discussing are made . the experiments show that the results are good . this demonstrates that it is successful for continued fractions to be applied in the processes of 2d object metamorphosis 其次，在本文的第二章，系統地論述了連分式的基本原理和應用方法，尤其是對thiele型連分式插值函數作了具體的討論，因為，它是在實驗中所用到的主要的插值工具。最后，本文的結尾，給出連分式應用于二維物體漸變的實驗過程和結果，并對其進行了仔細的分析和討論。實驗表明，把連分式用在二維物體的漸變過程中，取得了不錯的效果，是成功的。 |
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He weighed the possible evidences for and against ritual murder : the incitation of the hierarchy , the superstition of the populace , the propagation of rumour in continued fraction of veridicity , the envy of opulence , the influence of retaliation , the sporadic reappearance of atavistic delinquency , the mitigating circumstances of fanaticism , hypnotic suggestion and somnambulism 他在衡量著贊成和反對殺人祭神的可能的證據：神職人員的煽動以及民眾的迷信隨著謠言的傳播，致使真實性逐漸減少。對財富的嫉妒，復仇的影響，隔代遺傳造成的不法行為的突發性再犯。有量情余地的狂信，催眠術的暗示和夢游病癥狀。 |
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In recent years , nonlinear methods have attracted more and more attention and there have been some successful cases , such as median filter , mathematical morphology , etc . as a preferred way to inverstigate nonlinear numerical problems , the continued fractions method can effectively express the gradually changing data or abrupt data , so it is meaningful to study image processing by means of the continued fractions theory and algorithms 近年來在圖像處理領域，利用非線性方法進行圖像處理取得較好效果的有中值濾波、數學形態學等，非線性方法已引起越來越多研究者的重視。作為研究非線性數值問題的首選方法?連分式方法，不僅能反映數據的漸變性，也能反映數據的突變性。鑒于這些原因，本文將連分式插值和逼近引入到數字圖像處理領域，開展了圖像插值、圖像重建等方面的研究。 |
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In chapter 3 , the degree - preserving polynomials on r ~ ( 2 ) are discussed . with aid of computer algebraic systems , conditions are given to classify polynomials which are degree - preserved . in chapter 4 , the dynamical system in continued fractions , modeled by iteration , and related results on periodicity and chaos are summarized 在本文的第四章中綜述了連分數中的動力系統的一些成果，連分數通過迭代可化為一個動力系統模型，通過對該模型的研究，可以進一步認識迭代的復雜性，尤其是蘊藏在其中的周期行為和混沌。 |
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Our algorithm significantly outperforms the classical bilinear and bicubic interpolation methods in terms of edge sharpness and artifact reduction . 4 . the applications of the continued fractions are extended , which will further push forward the study of the continued fractions 而本文的方法是基于用非線性方法進行邊緣處理，該方法將newton線性插值方法和連分式有理插值方法進行有機的結合，提高了圖像的插值速度和效果。 |
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In the thesis , the fundamental formula of ffd method derives from the square root that is approximated by a continued fraction expansion in the one - way wave equation . optimizations of the parameters of the finite - difference operator improve the validity of the method 本論文用連分式近似單程波波動方程中的平方根導出ffd算法的基本公式，并對ffd算法中的有限差分算子進行了系數優化，進一步提高了計算的有效性。 |
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Though the rational fractions based on one - variable ( vector valued ) continued fractions have been used in other engineering fields , its application in the field of digital image processing has n ' t yet been reported in the literature so far . 2 基于一元(向量)連分式形式的有理分式已應用于其它工程領域，但基于矩形網格和三角網格上的混合有理插值在數字圖像處理領域目前還沒看到這方面的報道。 |
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This algorithm avoid using branched continued fractions . finally , its validity and flexibility are demonstrated by some examples 所得算法的特點是避免了使用分叉連分式，最后用數值例子說明了這種算法的有效性和靈活性。 |
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( vector valued ) continued fractions are adopted for the first time to process digital images 本文首次將(向量值)連分式方法用于數字圖像處理領域。 |
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Application of continued fraction approximation method to slope probabilistic analysis 函數連分式漸近法在斜坡穩定性概率評價中的應用 |
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Regular continued fraction 正則連分數 |
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Continued fraction expansion 連分式展開式 |
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Continued fraction approximation 連分式逼近 |
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A kind of accelerating convergence factors for limit periodic continued fraction 一類極限循環連分式的加速收斂因子 |
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Convergence criteria for vector valued continued fractions based on samelson inverse 逆的向量值連分式的收斂準則 |
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Continued fractions and linear recurring sequence synthesis over galois rings 環上的連分式與線性遞歸序列綜合 |