隨機數學概論 的英文怎麼說

中文拼音 [suíjīshǔxuégàilún]
隨機數學概論 英文
introduction to mathematics of randomness
  • 隨 : Ⅰ動詞1 （跟; 跟隨） follow 2 （順從） comply with; adapt to 3 （任憑; 由著） let （sb do as he li...
  • 機 : machineengine
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 學 : Ⅰ動詞1 （學習） study; learn 2 （模仿） imitate; mimic Ⅱ名詞1 （學問） learning; knowledge 2 （學...
  • 概 : Ⅰ名詞1 （大略） general outline 2 （神氣） manner of carrying and conducting oneself; deportment ...
  • 論 : 論名詞（記錄孔子及其門徒的言行的「論語」） the analects of confucius
  • 隨機 : random stochasticrandom
  • 數學 : mathematics
  • 概論 : （多用於書名: 概括的論述） outline; introduction; survey: 《化學概論》 an introduction to chemistry
  1. Based on consider hereinbefore, this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows : ( 1 ) reviewed entirely the origin and evolvement of the concept " sustainable development ", stated and commented the study status in queue on " sustainable development " around national and international range, thorough discussed the science connotation about the concept " sustainable development " ; ( 2 ) looked back and commented across - the aboard some furthest basic concept and proposition related to groundwater resources, put forward self opinions on a few existent mistake points of view and chaos understandings ; ( 3 ) expatiated entirely on the content and meaning of the theory of changeable groundwater resources system, contrast with the traditional methods of groundwater resources calculation and evaluation, combined example to show the application of this theory ; ( 4 ) thorough analyzed the difficult and complexity to forecast the groundwater resources, fully stated the traditional methods of groundwater resources forecasting, pointed out the characteristic and applying condition of these forecasting method, introduced the main ideas and methods of wavelet analysis developed recently, and the matlab software be known as the fifths era computer language, and its accessory wavelet analysis toolbox, applied these methods and tools to analyze the groundwater dynamic curve, adopted the b - j method and morte - carlo method, combined with the theory of changeable groundwater resources system, discussed the new view on the forecast of groundwater resources ; ( 5 ) synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model, combined mathematical programming mathematical statistics random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater, emphasized how to make the model more nicety, more simple, more practicality ; ( 6 ) analyzed the inside condition and outside condition to assure the sustainable and optimum exploi tation of groundwater resources, the inside conditions are the follows : correct resources idea, scientific methods of resources calculation and evaluation, credible forecast methods of resources, exercisable measures of resources management, the outside conditions are the follows : the development idea of high layer, the transform of manage system, the matched policy and rule of law, the adjusted of economy lever, the improve of cultural diathesis, the boosting up of water - saving consciousness and detail measures, the control of population rising, the prevention and cure of water pollute, the renew and rebuild of ecology ; ( 7 ) scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy, earth system science, and philosophy ; lint out the more directions on groundwater resources

    基於以上考慮，論文主要從以下幾方面對地下水資源可持續開發問題進行了比較深入的探討：全面回顧了「可持續發展」概念的由來與演變，對國內外「可持續發展」的研究現狀進行了述評，並對「可持續發展」概念的科學內涵進行了深入探討；對涉及地下水資源的一些最基本的概念和命題進行了全面的回顧和評述，對目前仍然存在的一些錯誤觀點和混亂認識提出了自己的見解；全面闡述了地下水資源變值系統理論的內容和意義，並與傳統的地下水資源計算評價方法進行了對比分析，結合實例具體說明了方法的應用；深入分析了地下水資源預測預報工作的極端重要性和復雜性，對傳統的地下水資源動態預測方法進行了全面的評述，指出了各類預測預報方法的特點及適用條件，對最近二十多年剛發展起來的小波分析技術的主要思想和方法及其應用范圍，以及號稱第五代計算機語言的matlab軟體和附帶的小波分析工具箱進行了介紹，並應用於地下水動態過程線的分析，採用時間序列中的b ? j法，蒙特卡羅方法，與地下水資源變值系統理論相結合，探討了地下水動態資料分析和地下水資源預測預報的新思路；綜合分析了現今各類地下水管理模型的特點及缺陷，將數學規劃、數理統計、隨機過程等與地下水變值系統理論相結合進行地表水地下水或多水源的聯合優化調度，使模型更準確、更實用；對保證地下水資源可持續開發的內部條件和外部條件進行了分析，內部河海人學博卜學位論文前言、摘要、目錄條件主要是正確的資源觀，科學的資源計算與評價方法，可靠的資源預測預報技術，可操作的資源管理措施，外部條件主要是高層發展思路、管理體制的變革、配套的政策法規、經濟杠桿的調節、人文素質的提高、節水意識的增強及具體節水措施、人口增長的控制、水體污染的防治、生態的恢復和重建等;從宇宙科學、地球系統科學及哲學的高度審視地下水資源的可持續開發;指出了地下水資源可持續開發的進一步研究方向。
  2. This paper reviews the history of research of long - range dependence and self - similarity in data network traffic, introduces the related concepts and discusses the physical interpretation of long - range dependence and self - similarity along with fractional brownian motion. finally, a method for generating fractional brownian motion random series is analyzed

    本文將介紹長程依賴和自相似在計算機網路研究中的歷史狀況，相關數學概念，給出了基於分數布朗運動的計算機網路業務流呈現長程依賴和自相似屬性的數學和物理解釋，討論分析分數布朗運動隨機序列生成方法。
  3. Focused on the technique, interaction and result of visualization, the system for transitional state visualization is put forward, which effectively promotes the transfer, analysis and synthesis course of transitional information with better visualizability, figurativeness and maneuverability. the main work of this dissertation is as follows : the main characteristics of transitional state, such as fuzziness, randomness, fractal and chaos, are concluded. based on the combination of the fuzzy mathematics, stochastic process, fractal and chaotic theory, the feature description model of transitional state is put forward to make itself the foundation of following visualization methods and applications

    論文的主要工作包括：系統地提出了過渡狀態的特徵刻畫模型，概括了過渡狀態的模糊性、隨機性以及分形性與混沌性等主要特性，結合模糊數學理論、隨機過程理論以及分形理論與混沌理論等，以過渡率、過渡集合等作為特徵刻畫模型的主要內容，以過渡映射作為特徵刻畫的形成過程，有效地描述了過渡特徵的漸變過程，為可視化方法與應用的具體實現奠定了理論基礎。
  4. Monte carlo is a method that approximately solves mathematic or physical problems by statistical sampling theory. when comes to bayesian classification, it firstly gets the conditional probability distribution of the unlabelled classes based on the known prior probability. then, it uses some kind of sampler to get the stochastic data that satisfy the distribution as noted just before one by one

    蒙特卡羅是一種採用統計抽樣理論近似求解數學或物理問題的方法，它在用於解決貝葉斯分類時，首先根據已知的先驗概率獲得各個類標號未知類的條件概率分佈，然後利用某種抽樣器，分別得到滿足這些條件分佈的隨機數據，最後統計這些隨機數據，就可以得到各個類標號未知類的后驗概率分佈。
  5. Abstract : the concepts of the random matter elements, the matter element models of the random events and the concepts of extension events and extension probability in extension mathematics are introduce. also, we consider the fundamental properties of extension probability and prove that classical probability is a special case of extension probability

    文摘:引入了隨機物元的概念，建立了隨機事件的物元模型，提出了可拓數學中可拓事件與可拓概率的概念.初步討論了可拓概率的基本性質，證明了經典概率是可拓概率的特例
  6. Stochastics ; probability theory, common fundamental concepts of mathematical and of descriptive statistics ; concepts, signs and symbols

    隨機學.概率論.數理統計學和敘述統計學的通用基本概
  7. The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p - polynomials, as well as the permutation theory over finite field : the new definition of chrestenson linear spectrum is given and the relation between the new chrestenson linear spectrum and the chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field ; the distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field gf ( 2 ) and prime field fp ; the relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed ; using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized bent functions over its prime field ; the existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p - polynomials over finite field

    重新定義了有限域上邏輯函數的chrestenson線性譜，考察了新定義的chrestenson線性譜和原來的chrestenson循環譜的關系，並利用一組對偶基給出了有限域上邏輯函數的反演公式；給出了有限域上隨機變量聯合分佈的分解式，並利用隨機變量聯合分佈的分解式對有限域上邏輯函數的密碼性質進行了研究；給出了有限域上邏輯函數與相應素域上向量邏輯函數的關系，探討了它們之間密碼性質的聯系，如平衡性，相關免疫性，擴散性，線性結構以及非線性度等；討論了有限域上邏輯函數各類線性結構之間的關系，並給出了任意點都是線性結構的邏輯函數的全部構造，由此引出了有限域上的「泛仿射函數」的概念；考察了有限域上邏輯函數的退化性與線性結構的關系、退化性與chrestenson譜支集的關系；給出了有限域邏輯函數非線性度的定義，利用有限域上邏輯函數的非線性度與相應素域上向量邏輯函數非線性度的關系，考察了有限域上邏輯函數的非線性度與線性結構的關系；利用有限域上邏輯函數與相信息工程大學博士學位論文應素域上向量邏輯函數的關系，揭示了有限域上的廣義bent函數與相應素域上的廣義bent函數的關系，以及有限域上的完全非線性函數與相應素域上向量廣義bent函數之間的關系;給出了任意有限域上任意。
  8. Risk theory is a hot topic in the present actuarial science and mathematics research. it helps to construct the risk model in the light of the instrument of stochastic processes and to study the problems of ruin probability and adjustment coefficient

    風險理論是當前精算界和數學界研究的熱門課題，最初主要藉助隨機過程理論來構造保險經營中的余額過程，並研究其破產概率、調節系數等問題
  9. Probability and statistics have abstract, strict and deductive features of pure mathematics and their own random, flexible and experimental features, etc

    摘要概率論與數理統計既有純粹數學的抽象性、嚴格性和演繹性等共性，又有自身的隨機性、靈活性和實驗性等特徵。
  10. The algorithm of strapdown inertial navigation system is also discussed and then use the flight - track generator to give a simulation, since a closed loop feedback integrated navigation system is designed in this paper, and the output of the filter must feed back to the strapdown inertial navigation system, the analysis of the algorithm in strapdown inertial navigation system is important. the scheme to design the trajectory of gps and the simulation of gps constellation are then studied, the simulation of gps constellation is given from the calculation of vernal equinox base on the principle of celestial mechanics, this method of different from other methods given by other paper and is useful to the research of satellite navigation system. a new method to abstract noise modal in integrated navigation system is proved to be useful in practice, this method, which is given by use the principles of stochastic processes, statistics, time series analysis, and system identification, is suitable for the kalman filter in integrated navigation system

    如航跡產生器的設計，該航跡產生器是研究組合導航問題的前提，從國外一些研究組合導航系統的文獻中可以看出，設計這樣一個航跡產生器是非常必要的，所以本文自行設計了這樣一個系統；還討論了捷聯慣性導航系統中捷聯解算的方法，並進行了模擬研究，由於在本文設計的閉環反饋式組合導航系統中，對捷聯慣導系統的平臺誤差進行閉環控制，需要將濾波器輸出的校正量反饋到捷聯解算內部，所以必須對捷聯解算進行深入的研究和分析，更何況捷聯解算問題本身也是導航界的一個熱門研究課題；另外，本文還介紹了gps軌道及其星座模擬的設計思想和方案，與以往gps軌道和星座模擬不同的是本文從天體力學中計算春分點開始，逐步進行gps軌道及其星座模擬，這樣的設計方法對從事衛星導航的研究工作是有價值的；還對組合導航中誤差建模方法進行了研究，綜合運用隨機過程、概率統計、時序分析及系統辯識等方面的理論提出了一套適合組合導航卡爾曼濾波的誤差建模方法，並運用實際研究工作中的測量數據對該方法進行了驗證。
  11. Based on the theories of nonlinear finite element monte - carlo stimulation techniques, mathematical methods for generating uniformly distributed n ( 0, 1 ) random numbers are described. a comprehensive evaluation method for uniformly distributed random number is presented. some good seeds have been selected out that can be used to generate uniformly distributed random sequences with better performance

    本文以非線性有限元理論和蒙特卡洛隨機模擬理論為基礎，描述了均勻分佈的n （ 0 ， 1 ）隨機數產生的數學方法，並編制了計算機程序，對由軟體產生的均勻分佈序列的隨機數性能進行各種檢驗，檢驗成果是良好的，可用於產生各種概率分佈的隨機變量值。
  12. Ph. d. in mathematics, stanford university （ 1990 ） ； m. s. ( 1985 ) and b. s. ( 1982 ) in mathematics, nanjing university. professor, georgia institute of technology. research and teaching : probability, stochastic processes ii, statistics, etc

    南京大學數學學士（ 1982 ） 、碩士（ 1985 ） ，美國斯坦福大學數學博士（ 1990 ） 。現任教於美國喬治亞理工學院工業工程與系統工程系。主要研究和教學領域：概率論、隨機過程、統計學等。
  13. And they ca n ' t take into account distributing of crops and water requirement and water content of soil. aiming at the limitations of this irrigation system, a expressions about design flow of pipe networks is set up by the probability methods. a model of stochastic non - linear programming by random irrigating is presented to optimize network of micro - irrigation

    論文針對這種灌溉制度的缺點，引入管網流量設計保證率、概率約束等理論，用概率論的方法推求了隨機灌水條件下管網設計流量的計算公式，並建立了隨機取水條件下微灌系統管網優化設計隨機非線性規劃數學模型。
  14. In the view of stochastic resonance ( sr ) and signal processing, parameter - turning sr ( psr ) theory and method is proposed and the characteristics of bistable systems are studied. the applications of psr in multi - frequency analog signal processing, digital baseband pulse - amplitude modulation signal transmission and digital carrier modulation signal transmission are investigated. this thesis has also introduced the concepts of parameter - adaptive sr and array - induced sr

    本文主要從隨機共振物理力學機理與信號處理的角度，研究了非線性雙穩態系統的數字特徵，提出了參數調節隨機共振（ psr ）理論和方法，並將這一理論應用到多頻模擬信號處理、數字基帶信號傳輸和數字載波調制信號傳輸中，引入了參數自適應隨機共振和陣列隨機共振系統的概念。
  15. The author uses black - scholes, cox, ross, rubinstein, trapezoidal fuzzy numbers, probability and stochastic calculus etc. real option provides a new thought - way and probability of venture capital value appraisal

    其中運用到了black ? scholes期權定價模型， cox 、 ross和rubinstein二項式模型，模糊數學中梯形模糊數字集合、概率論以及隨機微分過程等方法。
  16. This thesis establishes three models for a single - unit markov repairable system, and derives some reliability indexes by the method of stochastic process and probability. the thesis is based on the practice problems of maintenance and the idea of ion - channel. some numerical examples done by the mathematical software maple are given to illustrate the results at the end

    本文基於維修理論的實際問題，並藉助離子通道中的一些理論思想，運用隨機過程與概率論的方法研究了可靠性工程中單部件馬爾可夫可修系統的建模及在模型建立之後系統的一些可靠性指標的推導與證明，並運用數學軟體maple對推導出的結論進行了核實與分析，同時給出了數值示例。
  17. This research randomly choose a key high school, a common high school and a urban high school in guilin, and the purpose is to explore the influence of school in function concept learning and the processing mechanism of function concept schema

    本實證研究隨機選取桂林市重點中學、普通中學以及農村中學各一所，探究圖式在函數概念學習中的影響以及函數概念圖式的加工機制。主要結論： （ l ）圖式是一種高級的學習策略。
  18. In the paper, i employ the theory of finite element of steel frames and monte carlo method, describe the production method of the random variable of the average - distribution n ( 0, 1 ) and write program with fortran 90. the random numbers is tested in many ways for its quality ; the result is good. they can produce random with all kinds of probability distribution

    本文以半剛性連接的鋼框架的有限元理論和蒙特卡洛隨機模擬理論為基礎，描述了均勻分佈的n （ 0 ， 1 ）隨機數的產生數學分法，並編制了計算機程序，對由軟體產生的均勻分佈序列的隨機數性能進行各種檢驗，檢驗成果是良好的，可用於產生各種概率分佈的隨機變量。
  19. So, it is very necessary to construct uncertain parameters transportation models and solve it. this thesis based on the uncertainty theory : probability, fuzziness, rough set, from the appearance of uncertainty - - - randomness, fuzziness, roughness, together with the uncertain programming technique, and then systematically and roundly researched on the math ideology, math model, character of model and arithmetic of the uncertain multi - objective transportation problem

    論文基於不確定性理論:概率論、模糊數學、粗糙集理論，從不確定性的表現形式? ?隨機性、模糊性、粗糙性出發，採用不確定性規劃技術，較為系統和全面的研究了不確定性多目標運輸問題的目標規劃建模思想、數學模型、模型特性和模型求解演算法。
  20. The theory of probability is a mathematical discipline devoted to the study of the regularities of random or stochastic events, which developed since the middle of the 17th century

    概率論是研究偶然、隨機現象的規律性的數學理論，產生於17世紀中葉。它不僅有自己獨立的研究問題，還在現實世界中有著意想不到的應用。
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