隨機幾何學 的英文怎麼說
中文拼音 [suíjījīhéxué]
隨機幾何學
英文
random geometry-
The water, which is the source of life, has a close relation with the growing of the human beings and the development of the city. the shore of river, ocean and lake is the cradle of humankind civilization. there is the original city in drainage areas of some rivers. the waterfront which has internal permanent attraction for humankind is the most sensitive area in urban environment and culture. however, at present days of the industrial civilization, with accelerating of urbanization and fastly enlarging of city size, some problems, such as the pollution of the environment, the lack of resource, the expanding of population, the traffic confusion, the unbalance of culture and the ecosphere crisis, have arised. these problems have badly influnced the development of urban waterfront. the whole world has know the importance of ecosphere crisis and the protection of environment but, how to treat the urban waterfront which is the typical environment of human living ? this article try to study the protection and utilization of resource, the development of economy and culture and the shaping of space landscape about the urban waterfront with the aspect of sustainablity development
但是在工業文明日益發達的今天，隨著城市化進程的加快和城市規模的飛速擴大所帶來的環境污染、資源衰竭、人口膨脹、交通混亂、文化失衡和生態危機等問題，嚴重地影響了城市濱水區的發展。生態危機和環境保護已經引起了全球的重視，而城市濱水區作為人類聚居的一個典型環境，該何去何從呢?本文試圖以生態學理論為基礎，用可持續發展的觀點從生態持續、經濟持續和社會文化持續等幾個方面對城市濱水區的資源保護和利用、經濟、文化的發展和空間景觀的塑造進行研究。Besides, this paper adopts the random finite element method, uses geometric and physical mechanical parameters that are relevant to lining weight of surrounding rock, coefficient of lateral pressure, height or buried depth of vertical loading, elastic resistance coefficients of surrounding rock, elastic modulus of support structure, unit weight of concrete, thickness of the structure as well as torsional strength and compression strength of concrete and etc., as random variables, applies the monte - carlo method to sampling by computer, preliminarily evaluates the reliability of bearing capacity and stability of molded concrete lining of the xuefeng mountain tunnel, and obtains the related displacement of the lining, mean value and variance of internal force, and computed the reliability index of lining structures
此外，本文採用隨機有限元方法，將圍巖容重、側壓力系數、垂直荷載高度或埋深、圍巖的彈性抗力系數、支護結構的彈性模量、混凝土容重、結構的厚度以及混凝土的抗扭與抗壓強度等與襯砌結構有關的幾何與物理力學參數作為隨機變量，應用蒙特卡洛理論進行計算機隨機取樣，對雪峰山隧道模注混凝土襯砌的承載力與穩定性的可靠度進行了初步評估，得出了襯砌的相關位移與內力的均值和方差，並計算出了相應的襯砌結構可靠指標。Nowadays, along with the development in computer graphics, more and more applications other science fields require analysis and display of 3d geometric models
隨著計算機圖形學的發展，越來越多的科學應用都需要對三維幾何模型進行分析和顯示。In this paper, several mathematical definitions of self - similarity are given, and some of their properties are described. the method of justifying a self - similar process and getting its autocorrelation coefficient ( or self - similar parameter ) are also discussed. achievements which are achieved by scientific research of predecessors are summarized
本文給出了自相似的幾種常見定義，描述了該隨機過程在數學和物理上的一些特徵，並討論了如何識別一個序列是否是自相似或長相關的以及如何定量分析其相關性強弱的問題。The models of the stock price fluctuation is a mathematics model discribing the fluctuation of the stock price, it is all along the question financial scholars research over a long period of time, the models existing at present are mainly the model of randonm walk and the model of lognormal distribution etc. economists analyse the two models by authentic proof, which indicates that this two models do not fully qualify the actual stock market. in view of the above - mentioned facts, at the time some scholar have studied a new model of the stock price that even conforms to the actual stock market - that is the model of lognormal distribution
股票價格波動模型是用於描述股票價格波動的數學模型，一直是金融學者們長期研究的問題。目前存在的模型主要有隨機遊走模型、對數正態模型等，鑒于股價波動的隨機遊走模型和對數正態模型均經過實證分析，表明不完全符合現實的股票市場，目前理論研究者提出一種更符合實際股票市場的股價模型-股價波動源模型（文[ 5 ]的作者將股價異常變化帶來的短期收益率函數附加在幾何brown運動上，推廣了對數正態模型）及研究出了另一種混合形式下（見文[ 15 ] ）的期權定價方程。Another 20 kinds of non - designed contact points are given for the first time. contact determining algorithm of all the above contact types is given using z - buffer algorithm for 3 - d observation, and simulation results show high accordance with results of vector - associated method. simulation for non - designed contact mode with random initial conditions has been done too, and statistics from the simulation indicates that it is important to predict non - designed contact points in practical rvd efforts
全文的工作包括以下幾個方面的內容: 1 .建立了周邊式對接機構的復雜幾何外形的數學描述，描述了對接初始條件范圍內，兩對接機構相互接近、捕獲過程中可能出現的20種設計接觸模式，並針對初始接觸點首次提出20種非設計接觸模式;利用計算機圖形學中可見面判別的z -緩沖演算法原理，給出了所有接觸模式的檢測演算法，該演算法的模擬結果與輔助向量法高度一致，驗證了演算法的有效性;進行了300組確定首次接觸點的隨機模擬，統計結果表明，在飛船上實時進行非設計接觸模式的預測是非常重要的。Kinematic analysis : by denavit - hartenberg method, space geometry relationship of each pole relative to fixed reference frame can be described with equal index transform, also do space relationship of two adjacent poles with 4x4 equal index. so equivalent equal index transform matrix can be deduced from them. when sportive equations and sportive coordinate frame of workpiece exercise point are set up, the coordinate values of exercise point can be got, the pose and situation of two manipulators are analysed, in the end each joint valiable and its velocity, acceleration are worked o ut
運動學分析：利用denavit ? hartenberg法，用齊次變換描述各個桿件相對于固定參考系的空間幾何關系，用一4 4的齊次變換矩陣描述機鄰兩桿的空間關系，從而推導出等價齊次變換矩陣，建立兩機械手運動方程，確定工件作業點隨動坐標系，求出作業點坐標，對兩機械手的位姿進行解析，求出兩機械手的各關節變量及其速度、加速度值。In this paper, various previous brdf models, which include empirical models, geometrical optics models and theory models, are summarized and their merits and demerits are analysed. both shadowing function and facet distribution function as statistical characters of rough surface are discussed besides simpled fresnel reflectance function
本文首先總結了前人提出的各種目標表面brdf模型? ?經驗模型、幾何光學模型、理論模型等，分析了這些模型的優缺點，論述了隨機粗糙表面幾何光學統計特性? ?遮蔽函數、小面元分佈函數，簡化了菲涅爾反射函數。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。Along with the great progress in 3d data measurement device and the popularization of complex surface modeling, recursive subdivision has been a research focus in the world over the past 20 years in computer aided geometric design and computer graphics
近二十年來，隨著三維數據采樣設備的長足進步與復雜拓撲結構的曲面造型日益普及，細分曲面已成為計算機輔助幾何設計（ cagd ）和計算機圖形學（ cg ）領域內的一個國際性研究熱點。The problem has been studied from two sides, firstly, from the viewpoint of applicability, based on the development strategic objectives of the oil company, with the aim to unify the exploration and extraction decisions of the resources in an integrated framework, and integrate the macro economic and technical objectives with micro economic and technical models of an oil well, an integrated non - linear dynamic optimal control model has been constructed, the objective is the benefit maximum of the exploration and extraction of the resources, and the optimal strategies are obtained by changing the problem into a non - linear mathematical programming problem, on the other hand, from the more macro level, based on the analysis of the characteristics of the exploration and extraction activities of oil and gas resources, a conclusion is easily deduced that the procedure is full of randomicity, then discovering procedure of oil deposit is proved to be a poisson process, and the reserves process is a supermartingale process, so the model of exploration discovery rate and the reserves model could be constructed
本文從兩個側面對此問題進行了研究，首先從實用性出發，以公司層次的戰略性規劃目標為基礎，將勘探階段與開發階段的工程技術及經濟方面的決策整合在一個模型框架內，同時將宏觀層次的經濟技術目標與單個油氣井生產的微觀技術經濟模型相結合，以油氣資源勘探與開發的經營效益最大化為目標，建立了一個非線性確定型綜合動態優化模型，通過將原非線性最優控制問題轉化為一非線性數學規劃問題進行了求解。其次從相對更宏觀的層次上，通過對油氣資源勘探與開發的特點分析，認為具有很強的隨機性，證明了勘探活動發現油氣藏的過程為一泊松過程，所發現的油氣藏儲量為一上鞅過程，在此基礎上，建立了油氣藏勘探發現率模型及儲量模型，在油氣價格服從幾何布朗運動條件下，以油氣開採收益最大化為目標，建立了一個油氣資源勘探與開發的隨機最優控制模型，採用動態規劃方法得到了值函數的hjb方程，並針對方程的特點，以及方程及其變量所對應的經濟學意義，對最優策略的求解進行了一些討論。分享友人