fractal dimension theory 中文意思是什麼

fractal dimension theory 解釋
分數維理論
  • fractal : 分數維幾何
  • 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，...
  • theory : n. 1. 理論，學理，原理。2. 學說，論說 （opp. hypothesis）。3. 推測，揣度。4. 〈口語〉見解，意見。
  1. We describe the meaning of chaos > future idea of chaotic theory and influence on forecast ; introduce the character of chaotic time series, and point out the problem and shortage of the methods already existed computing character value which are fractal dimension and the largest lyapunov exponent and improve on it ; present the forecast principle of forecast method based on chaotic attractor, and point out the shortage of local field forecast method based on chaotic attractor and bring forward improved on methodo at the same time, we put forward a banausic algorithm and compare two models using practical example

    論述了混飩的含義與混淪理論的未來觀及其對預測的影響；介紹了。混飩時間序列的特徵，指出了己有的計算分形維及最大李雅譜諾夫指數這兩個特徵量的方法存在的問題與不足，並對此進行了改進；給出了基於混飩吸引子的預測方法的預測原理，指出了常用的基於混燉吸引子預測的局域法的不足並給出了改進方法，同時，給出了其實用演算法，並用實例進行了比較。
  2. The fourth chapter introduces the theory of fractional brown movement ( fbm ). the image texture of turning workpiece is analyzed using fbm model. after abstracting the texture character, the cutting tool wear status can be determined according to fractal dimension and average slope of the fitting curve of the logarithm power spectrum

    第四章採用分數布朗運動（ fbm ）的基本理論，對切削工件表面紋理的圖像進行分析，提取紋理特徵參數，根據分形維數和圖像上對數功率譜的擬合曲線的平均斜率來判斷刀具的磨損狀態。
  3. The fractal theory application to fault diagnosis is tried in order to overcome the defec t of wavelet transform to nonlinear signal analysis and complicated machine diagnosis, including the concept, function and application about fractal dimension and the process of applying it to analyze the libration signal of rolling bearing and engine burning

    針對小波變換分析復雜非線性機械繫統時表現出的力不從心，又嘗試探討了分形理論在故障診斷領域中的應用，討論了分形維數的概念、物理意義和應用，並通過滾動軸承和發動機燃燒振動信號的分析例示探討和展示了應用分形方法進行故障診斷的方法和過程。
  4. Based on the theory of the extended fractal dimension, this paper studied the attenuation level of self - similarity of various map objects with the variety of the map scale, and researched further the relationship between the scale level factor of map features and fractal attenuation

    以擴展分維作為理論基礎，從變維分析的角度出發，研究地圖目標的自相似程度隨比例尺變化而衰減的規律，進一步研究地圖目標的尺度指標與分形衰減之間的關系。
  5. In accordance with chaotic essence of speech signals, syllable segmentation in continuous speech is researched by fractal theory. an approach of syllable segmentation using variance fractal dimension is proposed, its performance is analyzed in detail. the method can discriminate between voiced and unvoiced, between surd and sonant, but it can hardly discriminate between sonant

    本文根據語音信號的混沌本質，利用分形理論研究了漢語連續語音中的音節分割問題，提出了基於方差分形維數的音節分割方法，並詳細分析了該方法的性能，它能很好地解決了無聲與有聲、濁音與清音間的分割問題，但很難解決濁音間的分割問題，當濁音相連且過渡段較短時，該方法無法實現它們之間的分割。
  6. In this paper, it has been studied based on the fractal theory, multi - fractal theory, calculation and analysis of each fractal dimension and general dimension being set as fault feature that fault diagnosis and identification of rotating model and steam - electric generating set

    本文基於分形理論、多重分形理論，通過對各分形維數的計算分析，把廣義分形維數作為故障特徵量，對旋轉機械模型及汽輪發電機組的故障診斷與識別進行了研究。
  7. On the basis of the theory of fractal geometry, the fractal dimension characters of ae signal at different tool wear states were analyzed, an algorithm was provided to decide the scale range which is necessary to calculate the dimension of non - fully - fractal form. the experiments showed that the fractal dimension of ae signal is slightly effected by the changes of cutting parameters ; the variance of the fractal dimensions, which reflects the geometric characters of ae signals, has the same tendency as that of the flank wear, the monitoring system, which takes the fractal dimension of the ae signal as the feature, can identify the different tool wear states more correctly under different cutting conditions

    以分形幾何理論為基礎，對刀具不同磨損階段聲發射信號的分形特徵進行分析.提出了計算非完全分形體信號波形的關聯維數時尺度范圍的確定方法，分析了聲發射信號在刀具磨損過程中分形維數的變化特性.刀具磨損切削實驗數據表明，聲發射信號的分形維數受切削參數變化影響較小；分形維數反映了聲發射信號的幾何特徵，其大小能較好地反映刀具的不同磨損狀態.實驗結果表明，該方法能正確地實時在線監測刀具的不同磨損狀態
  8. Taking the land consolidation project of yizheng city in jiangsu province as an example, patch extension index, fractal dimension, diversity index, evenness index, dominance index, fragmentation index, corridor density, etc wee selected to analyze the characteristics of the landscape pattern before and after the land consolidation with the landscape ecology theory

    摘要運用景觀生態學理論方法，以江蘇省儀征市某土地整理項目為例，選取斑塊伸長指數、分維數、多樣性指數、均勻度指數、優勢度指數、破碎度指數、廊道密度等景觀指標，對項目區整理前後景觀格局特徵進行分析。
  9. Based on the fractal geometry theory, this paper constructed the fractal geometry of road network, and applied the hausdorff dimension to the overall evaluation of road network

    摘要基於分形幾何學理論，構建了公路網的分維數概念，並將其應用於公路網規劃整體性評價。
  10. Electrorheological fluids based on metal and silica particles dispersed in silicone oil respectively are observed by means of an optic microscope. the fractal theory is adopted to characterize phase separation of electrorheological fluids and the fractal dimension ( df ) of an electrorheological fluid of 10 % particles in silicone oil is determined as 1. 78

    模擬結果表明，電流變體的電致成鏈過程可分為三個階中文摘要段，即快速生長階段，緩慢生長階段和穩定階段；在成鏈過程中，小尺寸的微粒鏈和大尺寸的微粒鏈分別是流體的結構和其穩定性的重要決定因素。
  11. The theory of chaos and fractal have are widely applied on economics and finance field since the 70 ' s last century. talking about our country ' s studies on this way, as whole, these studies as followed have been doing, recognizing of system chaos, looking for chaos attractors, researching fractal structure to time series curve, prediction and control to chaos system etc. all those studies need deal with the estimation of the fractal - dimension

    分形與混沌作為非線性科學中兩個重要組成部分，從上世紀七十年代起在經濟、金融研究中得到廣泛應用，就目前我國在這個領域的研究現狀看，其應用研究主要集中在系統的混沌識別，混沌吸引子是否存在，時間序列曲線分形結構的分析，混沌系統短期預測與控制等問題上。
  12. This paper introduces principle of fractal and the mandelbrot fractal theory. it analyze the fractal character and study the mltifractal for the clutter tracking. in according to the rage which follow the q on point fractal dimension and region fractal exponent. we confirm the prepreerence multifractal high moment, combining the clutter feature of pd radar and novel multifractal approach, the mainlobe clutter tracking come true

    以單點分形維數和區域分形指數隨q值的變化程度為標準，確定了多重分形最優高階矩數，結合pd雷達的雜波特性和多重分形演算法，實現了主瓣雜波跟蹤;研究了貪婪snake方法在雜波跟蹤中的應用，介紹了snake基本模型的能量函數，並分析幾種常用的snake模型的離散能量函數。
  13. In the end, the theory of fractal geometry is applied to the waves propagation and scattering in atmospheric turbulence, and the first and second order moments of the scattering fields are derived by considering the effects of the fractal atmospheric turbulence. the normalized back - scattering radar cross section of a perfectly conducting disk is calculated. the influence of fractal dimension of atmospheric turbulence on the radar cross section is analyzed

    本文最後將分形理論引入到湍流大氣中的波傳播和散射領域，導出了分形大氣湍流中光滑導體目標散射場的一階矩和二階矩，以光滑導體圓盤為例研究了湍流大氣的分維對導體目標後向散射截面的影響。
  14. Taking suspension bridge anchor of runyang highway bridge as project background in this paper, considering undulating angle of rock mass structural plane, angle of mean square root slope method is established by exerting fractal geometry theory. fractal dimension of profile of rock mass structural plane is calculated by above method. and roughness degree is described quantitatively, furthermore correlativity between fractal dimension and roughness coefficient ( jrc ) is analyzed

    本文以潤揚大橋懸索橋錨碇摩阻力研究為工程背景，運用分形幾何理論，從巖體結構面起伏角的角度出發，建立了均方根坡度角法測算巖體結構面剖面輪廓線的分維數，定量描述其粗糙程度，並分析了分維數與粗糙度系數jrc之間的相關關系。
  15. As the yardstick changes of crack face is following self - similarity physics law, this paper prosecuted several deep researches on the crack face in rock mass as follows : 1 ) the fractal geometry theory is used to study the characteristic of crack face number in rock mass and a research method about three - dimension fractal distribution to crack face in rock mass was brought forward. we calculate the number of crack when the position of the crack face distribution is random and the crack face ' s slant angle and azimuth angle is certain by numeral experiment, and verify that the crack face number in rock mass comforming three - dimension fractal distribution law is correct

    1 ）應用分形幾何學理論對裂縫面數量分形分佈進行了研究，提出了巖體裂縫面數量的三維分形分佈研究方法；在巖體裂縫面隨機分佈和裂縫面分組的情況下，用數值試驗方法，分別計算各種剖面不同尺度裂縫跡線條數，證明了「巖體裂縫面數量服從三維分形分佈規律」這一巖體力學的重要物理結論。
  16. Similar to percolation, the critical rock fracture model is established by renormalization group theory approach, and the relation between the fracture rules and the critical probability, and the fractal dimension, and the critical exponents is studied

    類似與滲流模型，就巖裂模型我們提出巖裂規則系數的概念。在此基礎上，對該模型進行了研究。得到一些有趣的結論。
  17. The simulation experiment had indicated this method in the accurate rate and the diagnosis speed in the fault diagnosis compares the traditional method to have the further enhancement. based on fractal theory, fractal diagnosis method is developed through characteristic parameter of calculating dimension of signal fractal. based on the principles of fuzzy theory and neural network as well as the conception of fractal dimension subordinating degree, fractal fuzzy neural network, input to which is fractal dimension subordinating degree, is constructed

    同時，本論文基於分形理論，以信號分形計算維數為特徵量，建立分形診斷方法;基於模糊理論和神經網路原理，基於分形維數隸屬度的概念，將不同采樣周期對應的計算維數按照模糊化處理，以一個固定的采樣周期時段的分形維數隸屬度為輸入，構成了分形模糊神經網路的診斷方法，提出了一種非線性模擬系統的故障識別方法，並利用模擬實驗驗證診斷演算法的有效性。
  18. Zno nanowhiskers synthesized by oxidizing zn vapor at low pressure show different morphology in this study. according to fractal dimension theory, fractal dimension calculation program ( fdcp ) has been developed to calculate the fractal dimensions of zno nanowhiskers

    本文用高頻感應加熱的方法在低真空氣氛中制備出不同形態的納米zno晶須，使用tem和xrd來分析其結構和形貌，並利用fdcp程序來計算它們的分形維數。
  19. Thirdly, two location data sets of rain - gauge networks have been analyzed by fractal theory. the results show that the increase in the measuring capability of a network must occur through its enlargement resulting in the fractal dimension increase

    第二部分用分形理論討論了雨量站分佈的不規則性，並對雷達回波的分維數計算進行了初步探討。
  20. The main works are described as follows : ( 1 ) we have summarized the latest research achievements and development of fractal theory and the applications in image processing domain and discussed and studied the definition, principle and algorithm of fractal and fractal dimension ; ( 2 ) aiming at the disadvantages of dfbr based edge detection method, an algorithm based on fractal intercept feature was put forward ; moreover, aiming at the bad anti - noise performance of traditional methods, a edge evaluation method was introduced to evaluate the performance of the algorithm and that of sobel - based algorithm quantificationally ; ( 3 ) furthermore, we proposed a novel method based on slope feature and intercept feature, then compared the performance with that of intercept - based method

    通過對近年來國內外學術界對分形理論及其在圖像處理領域相關應用問題的研究成果和最新進展的搜集、整理和總結，對分形及分形維數的定義、原理、演算法以及在圖像處理上的應用進行了較為系統的研究和探討； 2針對基於dfbr場邊緣檢測典型演算法的缺點，採用了一種基於分形截距特徵的圖像邊緣檢測演算法，取得了較為滿意的結果；並針對傳統方法抗噪性能差的缺點，引入一種基於參照圖的邊緣評價方法，並對此演算法性能與傳統sobel演算法進行定量分析對比，實驗證明該演算法是有效的； 3
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