正則隨機過程 的英文怎麼說
中文拼音 [zhēngzésuíjīguòchéng]
正則隨機過程
英文
regular random process- 正 : 正名詞(正月) the first month of the lunar year; the first moon
- 則 : Ⅰ名詞1 (規范) standard; norm; criterion 2 (規則) regulation; rule; law 3 (姓氏) a surname Ⅱ...
- 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
- 過 : 過Ⅰ動詞[口語] (超越) go beyond the limit; undue; excessiveⅡ名詞(姓氏) a surname
- 程 : 名詞1 (規章; 法式) rule; regulation 2 (進度; 程序) order; procedure 3 (路途; 一段路) journe...
- 正則 : holomorphic
- 隨機 : random stochasticrandom
- 過程 : process; procedure; transversion; plication; course
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Sequentially, the author discussed the technologies of medical image 3d visualization according to the clinical applications. with the development of computer, 3d visualization and computer graphics, the 3d visualization of medical images has progressed from fourier transform and convolve inverse projection to mpr ( multi - planar reformation, mpr ) and mtp ( maximum intensity projection, mtp ), nowadays, the real 3d reconstruction method, surface and volume rendering has risen. the image registering, image segmentation, pixel data set construction and 3d special interpolation are the key technologies in medical images 3d reconstruction
隨著計算機技術、三維可視化理論和計算機圖形學的發展,醫學圖像的三維可視化技術也從傅立葉變換、卷積反投影等基本圖像處理演算法,發展到真正的三維重建演算法:面繪制和體繪制;醫學圖像的三維可視化技術的應用也從三維醫學成像發展到虛擬內窺鏡,以及今天的虛擬可視化人體研究;而圖像的配準、圖像分割、體數據集的構建、三維空間插值則是醫學圖像三維可視化實現過程中的關鍵技術環節。In the visual 3 - dimensional phase space, the reconstructed attractor of the reverberation exhibits round structure, which contradicts to the irregular distribution of noise and is comparable to the regular circle of periodic wave
在可視的三維相空間中,混響重構吸引子的相圖呈環形結構,其結構特點介於純隨機過程的均勻無規則散布與確定性正弦周期信號的規則圓形之間。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。But in more situations the random variables generating counting processes may not independent identically distributed, and in all kinds of dependent relations, negative association ( na ) and positive association ( pa ) are commonly seen. the research and apply in this aspect are rather valuable. in chap 2 we prove wald inequalities and fundamental renewal theorems of renewal counting processes generated by na sequences and pa sequences ; in chap 3 we are enlightened by cheng and wang [ 8 ], extend some results in gut and steinebach [ 7 ], obtain the precise asymptotics for renewal counting processes and depict the convergence rate and limit value of renewal counting processes precisely ; at last, in the study of na sequences, su, zhao and wang ( 1996 ) [ 9 ], lin ( 1997 ) [ 10 ] have proved the weak convergence for partial sums of stong stationary na sequences. however product sums are the generalization of partial sums and also the special condition of more general u - statistic
但在更多的場合中,構成計數過程的隨機變量未必相互獨立,而在各種相依關系中,負相協( na )和正相協( pa )是頗為常見的關系,這方面的研究和應用也是頗有價值的,本文的第二章證明了na列和pa列構成的更新計數過程的wald不等式和基本更新定理的一些初步結果;本文的第三章則是受到cheng和wang [ 8 ]的啟發,推廣了gut和steinebach [ 7 ] )中的一些結論,從而得到了更新計數過程在一般吸引場下的精緻漸近性,對更新計數過程的收斂速度及極限狀態進行精緻的刻畫;最後,在有關na列的研究中,蘇淳,趙林成和王岳寶( 1996 ) 》 [ 9 ] ,林正炎( 1997 ) [ 10 ]已經證明了強平穩na列的部分和過程的弱收斂性,而乘積和是部分和的一般化,也是更一般的u統計量的特況,它與部分和有許多密切的聯系又有一些實質性的區別,因此,本文的第四章就將討論強平穩na列的乘積和過程的弱收斂性,因為計數過程也是一種部分和,也可以構成乘積和,這個結果為研究計數過程的弱收斂性作了一些準備。Extreme value property of regular double - random parametric process
正則重隨機參變過程的極值性質The forming - nucleus drive power could form numerous little crystal nucleus under natural melting temperature. the formation of tic particles in the melt could be divided into two phases which was forming - nucleus and growth. the forming mechanism of tic was : melting ti first surrounded c, then ti melting in the alloy and c formed a complicated reaction mesosphere on the carbon surface
根據熱力學及動力學分析,認為在碳顆粒界面處tic的形核率很高,形核驅動力足以在正常的熔煉溫度下形成眾多的小晶核;熔體中tic顆粒的合成可分為形核與長大兩個階段,其形核機制為:首先活性ti原子包圍c ,溶入合金中的ti與c在碳表面形成一復雜反應中間層,隨著反應進行, ti和c顆粒不斷減少,生成的tic不斷彌散分佈於熔體中;其長大過程伴隨著tic顆粒的相互堆砌、聚集和形態規則化。Regular random process
正則隨機過程The results show that saastamoinen / niell model can remove the most of the tropospheric delay and then significantly improve the kinematic positioning solutions ; the ionosphere which is modeled on random walk process can also improve the kinematic positioning solutions ; however, the troposphere which is modeled on random walk process will bias the kinematic positioning solutions
結果表明,對流層模型改正可以大大改善定位結果的精度,不過仍存在未模型化的對流層延遲誤差。將電離層延遲作為隨機過程來處理,可以提高定位精度;而將對流層延遲作為隨機過程來處理,則會影響定位精度。At first, ploygon aggregate structure of concrete is randomly generated in two - dimensional plane with monte carlo method on the meso - level. then, the growth process of a crack of concrete 3 - point bending beam specimen is analyzed by fem, according to the criterion of maximum circumferential tensile stress. and the path of crack to spread in mortar, aggregate and interfaces of them is gained by the ultimate fracture criteria in construction standard that the width of crack should not be more than 0. 2mm
首先,在細觀層次上,根據蒙特卡羅隨機抽樣原理,在二維平面上建立了混凝土多邊形隨機骨料結構模型,然後採用有限元計算方法,根據最大周向正應力準則,對三點彎曲梁構件進行了開裂過程的模擬,並以建築規范中構件裂縫小於0 . 2mm的要求為最終破壞標準,得出了裂紋在基質、骨料及界面的擴展路徑。In continuous - lime framework, assuming that asset price follows stochastic diffusion process, it introduces parametric uncertainty, and applies stochastic dynamic programming to derive the closed - form solution of optimal portfolio choice, which maximizes the expected power utility of investor ' s terminal wealth ; in discrete - time framework, continuous compounding monthly returns of risky asset are assumed to be normal i. 1. d., it applies the rule of bayesian learning to do empirical study about two different sample of shanghai exchange composite index
在連續時間下假設資產的價格服從隨機擴散過程,引入參數不確定性,利用隨機動態規劃方法推導出風險資產最優配置的封閉解,使投資者的終期財富期望冪效用最大;在離散時間下假設風險資產的連續復合月收益率服從獨立同分佈的正態分佈,通過貝葉斯學習準則,以上證綜合指數不同區間段的兩個樣本做實證研究。分享友人