隨機函數方程 的英文怎麼說

中文拼音 [suíjīhánshǔfāngchéng]
隨機函數方程 英文
stochastic functional equation
  • 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
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 隨機 : random stochasticrandom
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  1. They are expanding model of the bomb body, bursting model of the bomb body and motion model of the fragments. according to the models, the paper gives a detailed algorithm for the whole process of the bomb explosion. ( 7 ) based on the explosion mechanism and the stochastic characteristic of the shell, the paper advances some reasonable hypotheses and supposes that the explosion process of the shell is a markov process, thus constitutes two explosion models of the shell : the imitation model an

    （刀從爆炸的機理出發，利用合理的假設，將殼體的爆炸過程處理為馬爾可夫過程，把爆炸的機理同爆炸的隨機性聯系在一起，建立了殼體爆炸的兩種模型:模擬模型和簡化模型，提出了破裂程度的倍密度函數和破裂方向的倍密度函數兩個概念，得到了基於半邊結構的虛擬殼體爆炸過程中任一條邊出現裂縫的概率公式。
  2. The inconsistent excitation can be decomposed into a series of irregular incident waves in terms of the spectral decomposition scheme of the hermitian matrix, with which the coherency function of the ground motions under the inconsistent excitation can be obtained numerical results are given to show its stability and rationality

    該方法將隨機輸入下的波動分析問題轉換為多個虛擬激勵下的確定性波動分析組合問題，從而可以方便地獲得場地波動觀測量之間的譜密度矩陣，進而計算給出工程場地的地震動相干函數本文還用數值模擬的辦法對所提出方法的合理性和穩定性進行了探討。
  3. If the covariance stationary processes are one dimension, for given data, covariance function and spectral density function can be estimated, and there is no need to select kernel function and its parameters

    如果協方差平穩隨機過程的狀態是一維的，對給定的樣本點，給出了協方差函數的估計和其對應譜（密度）函數估計，而不必選擇核函數及其參數。
  4. The control of beam halo - chaos becomes a critical problem in the development of high intensity accelerator. efforts to remove the halo by collimation have been largely unsuccessful since the halos almost always regenerate. the mechanisms of halos are complex, such as nonlinear resonances and chaotic behavior etc. considering this, professor fang jin - qing who works in china institute of atomic energy pointed out that the theory of chaos control can be used to control beam halos. he presented the method to control halos by using nonlinear functions, which means nonlinear function g is added to the right of ion radial self - edlctric force equation and some nonlinear function are selected to control beam halos in simulations. in paper [ 69 ], controllerg = - 0. 15sin ( rmax - am ) 2 was used and the halo intensity was decreased to 0. 1078, the halos are removed partly

    束暈?混沌的控制是新一代強流加速器研製的關鍵問題，隨著強流離子束應用前景的日趨廣闊而日益成為研究的熱點。傳統機械限束器因無法解決束暈的再生而收效甚微，因為束暈的形成有著其內在動力學機制?非線性共振以及混沌等。基於此，中國原子能科學院研究員方錦清將混沌控制的理論和方法開創性的運用於束暈?混沌的控制上，提出了控制束暈?混沌的非線性控制策略，即在粒子徑向所受束自生場力方程的右邊加上非線性控制函數g ：並選取一些非線性函數如等進行了控制的模擬研究，將束暈強度控制在0 . 1078左右，取得了初步的控制效果。
  5. In rsdm, binary patterns are replaced by real - valued patterns, accordingly avoiding the coding process ; the outer learning rule is replaced by regression rule, therefore the model has not only the ability of pattern recognition but the ability of function approximation. the prearrangement of the address array bases on the distribution of patterns. if the distribution of patterns is uniform. then the address array is prearranged randomly, otherwise predisposed with the theory of genetic algorithm and the pruneing measure so as to indicate the distribution of patterns and improve the network performance. non - linear function approximation, time - series prediction and handwritten numeral recognition show that the modified model is effective and feasible

    在rsdm中，以實值模式代替二值模式，避免了實值到二值的編碼過程：以回歸學習規則代替外積法，使該模型在具有識別能力的同時具有了對函數的逼近能力；地址矩陣的預置根據樣本的分佈採取不同方法，若樣本均勻分佈，則隨機預置，否則利用遺傳演算法的原理和消減措施來預置地址矩陣，使之反映樣本的分佈，改善網路的性能。
  6. We develop some methods for evaluating the security of lsb steganography using randomness test and two - dimension self - correlation function. 4 ) evaluation of the statistical visibility of information hiding algorithms

    提出了基於二維自相關函數徑向譜和隨機性檢驗（包括順序檢驗、遊程檢驗和一維自相關檢驗）的lsb信息隱藏安全性評估方法。
  7. Where commodity prices satisfy a sde and the payoff function is a general payoff function with stopping time

    其中商品價格滿足一隨機微分方程，收益函數為帶停時的一般收益函數。
  8. In chapter 2, using correlated conclusions of the optimal control, we formulate a stochastic control model about the optimal producing scheme, which includes a state equation, a payoff equation and so on

    第二章，利用最優控制的相關結論，建立最優生產計劃的隨機控制模型，此模型包括狀態方程、收益函數等。
  9. In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied

    首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。
  10. The main achievements are as follows : it is verified that there is an unique mean square solution to the stochastic surge model ; the formulas for probability density function of head loss and the maximum relative surge level were deduced ; the joint probability density function for solving surge process and the mean head process of simple hydraulic system were also derived

    主要研究成果有：證明了調壓室涌浪隨機模型存在唯一的均方解；推導出了水頭損失和最大相對涌浪值的密度函數計算公式；求解了調壓室涌浪解過程的聯合密度函數和簡單水力系統的水頭均值過程等。
  11. Based on the study of strength degradation of material in the fatigue process, a strength degradation model is proposed. a stochastic differential equation, which controls strength degradation, is obtained from the model randomized by markov process. by using the theory of stochastic, the distributions of residual strength at any given lifetime and lifetime of any given residual strength are attained. under a few suitable hypotheses, inverse gaussian distribution of fatigue life is derived, and verified by means of experimental data. the result shows that the model and the method are reasonable

    在研究疲勞過程中材料強度退化規律的基礎上，建立了一個強度退化模型.對其進行隨機化處理，得到控制強度退化過程的隨機微分方程.在一定假設條件下，獲得了剩餘強度概率密度函數的封閉解，並推導出疲勞壽命的反高斯分佈形式.給出一種考慮損傷狀態對隨機漲落影響的近似處理方法.與試驗數據的比較結果表明，本文的模型和方法是合理的
  12. Secondly, the mathematical radiation extinction model of nonspherical particle is developed based on t - matrix method, and a computer program is designed to calculate the extinction cross section, scattering cross section, absorption cross section and scattering phase function of fixed or randomly oriented axially symmetric particle

    然後根據t矩陣方法，採用回轉體微粒消光特性的計算模型編制出的相應程序，對固定取向和隨機取向的非球形回轉體微粒的消光截面、散射截面、吸收截面及散射相函數進行了計算。
  13. In this paper, the repairable queuing system with police is studied. some important queuing quantities and reliability quantities are in detail discussed as follows : ( 1 ) using the renewal process theory and the method of stochastic decomposition, both the transient and equilibrium distributions of the queue length from any state are discussed, and the recursion expression of the equilibrium distribution is given by furthermore, the generating function of equilibrium queuing length distribution is given by ( 2 ) the distribution of waiting time is discussed, and the mean waiting time is given by ( 3 ) the departure of the system is discussed, and the mean value of departure customers when is given by

    具體如下： （ 1 ）利用更新過程理論和隨機分解方法，討論了從任意初始狀態出發隊長分佈的瞬態解和穩態解，得到了隊長平穩分佈的遞推公式：並進一步求得了系統的穩態隊長分佈的母函數（ 2 ）討論了穩態等待時間分佈，求得了平均等待時間： （ 3 ）討論了系統的輸出過程，求得了長期單位時間內離去顧客的平均數： （ 4 ）討論了服務臺的不可用度，得到了穩態不可用度: （ 5 ）討論了內服務臺平均故障次數，求得了長期單位時間內的平均故障次數
  14. In 6. 635, topics covered include : special relativity, electrodynamics of moving media, waves in dispersive media, microstrip integrated circuits, quantum optics, remote sensing, radiative transfer theory, scattering by rough surfaces, effective permittivities, random media, green ' s functions for planarly layered media, integral equations in electromagnetics, method of moments, time domain method of moments, em waves in periodic structures : photonic crystals and negative refraction

    本課程所覆蓋的論題包括：狹義相對論、運動媒質的電動力學、色散媒質中的波、微帶集成電路、量子光學、遙感、輻射傳輸理論、粗糙表面上的散射、有效介電系數、隨機媒質、平面層狀媒質的格林函數、電磁學中的積分方程、矩量法、時域矩量法、周期結構中的電磁波：光子晶體和負折射率。
  15. By means of trigonometrical progression method and the mainline track spectrum, the sample function of the chinese mainline railway track random geometric irregularity is simulated. with the data obtained from track geometry inspection car on qinhuangdao - shenyang special line for passenger transport and arma time series model, the sample function of high - speed railway track random geometric irregularity are simulated. based on existing literature, the artificial bogie crawl waves at various different speeds are randomly simulated

    根據我國干線鐵路軌道譜，採用三角級數法模擬出干線鐵路和準高速鐵路軌道不平順的樣本函數；根據秦沈客運專線高速試驗段軌檢車資料，採用arma時間序列模型模擬了高速鐵路軌道不平順隨機樣本函數；在既有研究資料的基礎上模擬出各種速度客車構架人工蛇行波；用隨機變量描述道床橫向剛度，並進行了隨機模擬；將振動理論和穩定理論結合建立系統的分析模型和運動方程；根據monte ? carlo法編制了車輛?軌道耦合系統隨機振動分析程序，進行了無縫線路隨機動力響應分析，通過試驗對計算模型、計算方法進行了驗證。
  16. In the 3rd section we introduce how to use mathematical model to study financial problems, whose assets running on mixed jump - diffusion process, first we get the famous non - linear feynman - kac formula by fbsde, then let the solution of the bsde be a investor ' s utility function, and it ' s the so - called recurse utility function. second, we can prove that this utility function is a continue viscosity solution of the variation inequality which we get above, and we get the comparison theory. third we can use the result to financial market to study the optimal consumption and portfolio problem or evaluate the american option

    第三章介紹了利用金融資產價格運行基於復合跳躍? ?擴散過程的數理模型來研究金融經濟問題，通過結合運用正倒向隨機微分方程，推導得到著名的非線性feynman - - kac公式，並且將相應的倒向隨機微分方程的解記為投資者的值函數，這也就是通常所說的效用值函數；接著我們可以證明此效用值函數為某一偏微積分變差不等式的連續粘性解，並且得到了比較原則；這些結果可以應用到金融領域用於消費投資組合的選擇或是美式期權的估值。
  17. From langevin equation, the stochastic resonance characteristics of bistable system were investigated, including the probability density function and other character numbers

    通過朗之萬（ langevin ）方程，本文詳細研究了雙穩態系統的隨機共振特性，得出系統穩態輸出的概率密度分佈函數及其數字特徵。
  18. Underlying the assumption that the stock price accords with the model of the stock price fluctuating sources, by comprehensivily applying the stochasitic differential theory and no - arbitriagc thcory, this paper, under the conditions that the risk - free rate r is constant or ito stochasitic process, successively works out the option pricing about the stock price model with that the short - term profit function is piecewise lecture function arid that one with that the short - term profit function is possion jump process, derivats counterpart partial differential equation of option pricing. the outcome states : 1. when the short - term profit function is unusual flunctuating sources bring out a piecewise lecture function, this amendment on the lognormal distribution model does not improve the option price, because this partial differential equation of option pricing is the same one underlying the lognormal distribution model ( see equation 2. 14 )

    本文基於股價符合波動源模型的假設，綜合運用隨機微分理論等數學原理和無套利理論等金融理論，依此對短期收益率函數為分段階梯函數和possion跳躍過程的股價波動源模型分別在無風險利率是常數和隨機過程的條件下作了期權定價，推導出了相應的期權定價偏微分方程，結果表明： 1 、由異常波動源帶來的短期收益率函數是分段階梯函數時，這種對股價對數正態分佈模型的修正不能改善期權價格，因為基於這種模型的期權定價偏微分方程與基於股價對數正態分佈模型的期權定價偏微分方程完全相同（見方程2 . 14 ） 。
  19. Abstract : based on the study of strength degradation of material in the fatigue process, a strength degradation model is proposed. a stochastic differential equation, which controls strength degradation, is obtained from the model randomized by markov process. by using the theory of stochastic, the distributions of residual strength at any given lifetime and lifetime of any given residual strength are attained. under a few suitable hypotheses, inverse gaussian distribution of fatigue life is derived, and verified by means of experimental data. the result shows that the model and the method are reasonable

    文摘:在研究疲勞過程中材料強度退化規律的基礎上，建立了一個強度退化模型.對其進行隨機化處理，得到控制強度退化過程的隨機微分方程.在一定假設條件下，獲得了剩餘強度概率密度函數的封閉解，並推導出疲勞壽命的反高斯分佈形式.給出一種考慮損傷狀態對隨機漲落影響的近似處理方法.與試驗數據的比較結果表明，本文的模型和方法是合理的
  20. This paper study the character and application of the solution of bsde, the main results include : for the second kind of bsde, the existence and uniqueness of the solution under non - lipschitz condition, comparison theorem and stability are established, under weaker condition, the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given ; for the first kind of bsde, under weaker condition, the existence of minimal and maximal solution. stability, comparison theorem and application to utility function are proved

    本文研究倒向隨機微分方程解的性質及其應用，主要結果有：針對第二類方程，討論了在非lipschitz條件下倒向隨機微分方程解的存在唯一性，比較定理及穩定性等，在更弱條件下，得到了倒向隨機微分方程的最大解和最小解的存在性，在此基礎之上，給出了在隨機控制及效用函數方面的應用；針對第一類方程，同樣在較弱條件下，證明了方程最大、最小解的存在性、穩定性、比較定理及其在效用函數的應用。
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