有界變分 的英文怎麼說
中文拼音 [yǒujièbiànfēn]
有界變分
英文
bounded variation-
Perfect pre - processing and post - processing function is one of the main factors to evaluate the vitality and market value of the finite element analysis system surveying today development of finite element analysis technology, most of which concentrate on establishing fine user interface, also has some limitation on application, and especially, the research on the visualization of arbitrary cut - plane is always in ascendants to realize the visual processing on cut - plane needs reprocessing the results of finite element analysis which have get, so the algorithm is two parts : seeking the physical value of cut - plane and drawing 2d contours, the former, based on the theory of stress on " arbitrary inclined plane " in physical mechanics, use the method of linear interpolation method to get the coordination and physical value of intersection between cut - plane and element arris ; the latter, based on the tables on elements, nodes, stress and strain, summarize a rapid algorithm of generating 2d contours based on the grid. this thesis synthesizes there two parts and get a visual processing program under fortran
縱觀有限元分析技術的發展，目前大多集中在建立良好的用戶界面上的研究仍存在許多應用上的局限性，其中對任意剖面上可視化的研究仍處于方興未艾的階段。要實現任意剖面上可視化處理，必須先將得到的有限元計算結果進行再處理，因此在演算法上分為兩部分：求任意剖面上物理量值的演算法及二維等值線演算法。前一部分以彈性力學中「任意斜截面的應力」為理論基礎，利用線性插值方法得到截面與單元棱邊的交點坐標及交點物理量值；在此基礎上；根據已得到的單元及節點序號表、應力應變物理量表，總結出一種基於有限元剖分網格的快速生成二維等值線的演算法。One of the nuclei at the micropylar pole becomes delimited by a small amount of cytoplasm.
珠孔端有一個核，因為帶有少量細胞質而變成界線分明。Moreover, when the parameter is chosen in a certain interval, it is proved that the generalized d - gap function g has bounded level sets for the strongly monotone vip. an error bound estimation of the algorithm is obtained, which partially gives an answer to the question raised by yamashita ( 1997 ) et al
更進一步，當廣義d -間隙函數g _ （ ）中的參數取值于某一區間時，證明了函數g _ （ ）對于強單調變分不等式而言，具有有界的水平集，同時，給出了演算法的一個誤差界估計，它部分回答了yamashita等人提出的一個問題。The paper does some discussions on the characteristic which the bounded variation sequence has. ft is found that the monotone sequence is colsely related to it, and very similar with the bounded variation functions, and reach the conclusion as follows : the class of bounded sequence ? the class of convergencal sequence ? the bounded variation sequence ? the hounded monotone sequence
本文主要對囿變數列的特徵作一些探討，我們發現；它與單調數列關系密切，而且與有界變差函數十分類似，並得出如下關系；有界數列類?收斂數列類?囿變數列?單調有界數列。Therefore it is started with the derivation of variational equation, full formulations including contact boundary conditions, internal forces of shell element are given, and the algorithms for contact - surfaces searching, contact - force computation, and even time integration for the response computation are listed as well
為此，文中從推導變分方程開始，給出了包括接觸邊界條件、殼單元內力計算在內的全部列式，並列出了識別接觸界面的搜索演算法，接觸力計算以及動力響應計算的時間積分演算法的有關公式等等。In this paper, we spread common abel and dirichlet test. on the point of bounded variation, we can conclude sevral results in infinite integration convegence
摘要推廣了一般形式的阿貝爾判別法和狄利克雷判別法，從有界變差的角度得到了判別無窮積分收斂的幾個結果。A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. the finite - difference of governing equations with fourth - order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations. the combination of global and local methods is implemented, and a new iterative formula is derived
對于曲線坐標系下的拋物化穩定性方程，文中發展了求解的高效數值方法:引進法向變換，使得在臨界層與壁面之間的擾動量變化最快的區域有更多的法向網格點;導出包含邊界鄰域在內的完全四階精度的法向有限差分格式，這對方程精確離散至關重要;採用全局法和局部法相結合的方法及其新的迭代公式，大大加速收斂並得到更精確的特徵值。Feminine beauty is emphasized by applying rouge from the eye sockets down, leaving the forehead, the nose bridge and the area around the mouth as they are
一般生旦化妝都是在白底彩上施以濃淡變化有致的胭脂，揉抹于眉心、眼眶、兩頰和下頦，獨留前額和鼻樑界線分明的光亮位，增強立體感。Furthermore, the fiber volume fraction of each inclined and horizontal unidirectional " lamina was assumed to be the same as that of the composites. three - dimensional stress - strain analysis was applied to each unidirectional lamina that was assumed to be transversely isotropical under on - axis coordinate system. carrying out the integration and averaging of stiffness yielded the effective elastic moduli of 3 - d braided structural composites
採用三維應力?應變分析，在單胞的長度方向積分和平均，在給定的應變邊界條件下，採用剛度體積平均的方法，預測三維編織結構復合材料的有效彈性模量；在空間多向應力的基礎上，通過對三維編織結構復合材料破壞機理的探討，摘要提出了適用於三維編織復合材料細觀強度失效準則，預測三維編織結構復合材料的強度性能。In chapter 2 there are four goals : the first is to investigate some geometric properties of h - caccioppoli sets, the second is to characterize the discontinuous set su and jump set ju of u bvh ( ), the third is to study pointwise behavior of u bvh ( ) and our effort is concentrated on showing approximate differentiability of u in the sense of pansu ' s, while the last and the most important is to show that dhu with u bvh ( ) as a radon measure can be split into three parts ( absolutely continuous part, jump part and cantor part, respectively ) just like the derivative of a bv function in the setting of euclidean space
第二章有四個目標：一是討論h - caccioppoli集的若干幾何性質，二是刻畫h -有界變差函數的近似不連續點集和跳躍點集的特徵，三是研究u bv _ h （ ）的逐點行為，我們集中討論u在pansu意義下的近似可微性，最後也是最重要的目標我們證明對u bv _ h （ ） ， d _ hu作為radon測度能夠分解成絕對連續部分、跳躍部分和cantor部分之和。Morphing is the continuous smooth and natural transformation of a source object into a target object, where the object can be a numerical image, curve, surface, mesh, etc. morphing has very wide use in many areas, such as computer graphics, animation design, industrial modeling, science computation visualization, film stunt, etc. this paper makes researches on the morph of compatible planar triangulations and that of planar polygons, and the main results are as follows : 1 ) morph of compatible planar triangulations : this paper presents a convexity - preserving method for morphing compatible planar triangulations with different convex boundaries
變形，是指從初始物體到目標物體的連續、光滑、自然的過渡（這里的物體可以是數字圖像、曲線、曲面、網格等） 。變形在許多領域有著十分廣泛的應用，如計算機圖形學、動畫設計、工業造型、科學計算可視化、電影特技等。本文對同構平面三角網格的變形和平面多邊形的變形進行了研究，主要的研究結果如下： 1 ）同構平面三角網格的變形：提出了具有不同凸邊界的同構平面三角網格的保凸變形方法。In order to make the objects more adaptable to the changes of environment, more easily to cope with and depict the relationship between objects and organize the objects to take part hi all kinds of affairs, and in order to make the programming design more suitable for the originally reality of the real world, we propose a new - type and more abstract programming language ? fact - oriented programming language. it is based on the logic structure of language and the real world that was expressed in tractatus logico - philosophicus ( the title is written in latin ) and philosophical investigations which were written by an austrian linguist and philosopher ( ludwig wittgenstein ). in real world, a certain object will display different features in different environments and scenes, for example some features will only appear in a given environment or scene while other features will not appear in the same environment or scene
為了使對象能夠更好地自動適應環境的變化，更好地處理和描述面向對象系統中對象與對象之間的關系，更好地組織和管理面向對象系統中的各種對象，並使程序設計更加符合客觀世界的本來面貌，本文把奧地利語言哲學家路德維格?維特根斯坦（ ludwigwittgenstein ）在《邏輯哲學論》 （ tractatuslogico - philosophicus ，注：拉丁文）和《哲學研究》 （ philosophicalinvestigations ）中關於世界和語言邏輯結構的哲學論述應用到程序設計中，並結合現實世界中對象能自動適應環境（事實或場景）變化的特性（即對象在不同的環境中會表現出不同的屬性和行為，有一部分屬性和行為只有在某些特定的事實中才會表現出來，而有一部分屬性和行為在某些特定的事實中一定不會表現出來） ，提出了一種新的程序設計語言? ?面向事實程序設計（ fact - orientedprogramming ? ? fop ） 。But it is also better that even some portion of the world population uses this power. it s already very, very uplifting for our earth. otherwise, it would become hell
不過當世界上有一部分人使用這個力量時，就已經好多了，對地球就已經很有提升作用，否則這個世界將會變成地獄。The soils and sediments organic matter ( som ) are highly heterogeneous and comprise various complex organic macromolecules such as humus, kerogen, black carbon ( bc ), etc. the relative abundance, characteristics and structure of these som play a important role on the global carbon cycles, global change, transformation and fate of the organic and inorganic pollutants, the soil fertility
土壤和沉積物有機質是高度非均質的，包括許多復雜的有機高分子聚合物如腐殖質、乾酪根、碳黑等。這些有機質的相對含量，性質和結構對全球碳循環，全球氣候變化，有機和無機污染物在自然界的遷移、轉化和歸宿，土壤的肥力等有非常重要的影響。Finite difference time - domain method is used to calculate the reflection for these probes and absorbing boundary condition is used to deal with the singularity in the axis of the coaxial - line in the simulation. by comparing the reflection of different probes, the best probe has been selected according to sensitive requirement. the influence of parameters : such as thickness of protective film, length of protruding inner conductor of the coaxial - line probe to the measurement has been studied
通過時域有限差分法進行數值模擬分析，並採用吸收邊界處理同軸線軸心奇異點，計算出各種探頭測量相同溶液的反射系數，根據其測量的靈敏度，選出最優設計；並通過分析所選探頭的各種設計參數，如薄膜厚度、內導體伸出長度等的變化對測量結果的影響，找出該探頭各參數的最佳范圍，使其具有高度靈敏性，以適用於測量化學反應溶液的介電常數。In the first chapter, we obtained weighted norm inequality on the commutators, by proving a variant of sharp function estimates ; j. orobitg and c. perez introduced ap weights for nondoubing measures and proved weighted norm inequality of c - z singular integrals. in the second chapter, we obtained weighted inequalities of fractional integral and its maximal function with ap ( u ) weights for nondoubing measure ; e. sawyer obtained a weak type double weights inequality for fractional integrals in [ 13 ]. in the third chapter, we generalized the sawyer ' s result for non - doubling measures
本文第一章通過證明一個變形的sharp估計，從而得到奇異積分交換子的加權有界性； j . orobitg和c . p rez在文[ 10 ]中引入了非倍測度的a _ p權理論並證明了c - z奇異積分的加權有界性，本文第二章得到了分數次積分運算元和分數次極大函數在非倍測度下a _ p （ ）權的加權估計； e . sawyer在文[ 13 ]中得到了分數次積分的一個雙權弱型不等式，本文第三章把e . sawyer的結果推廣到非倍測度的情形。Abstract : the method to determine the shape of solidification shell in the process of continuous casting of steel is studied. by establishing the model of stable temperature field, with the observation of first and second boundary value on the exterior of the ingot, the algorithm method to identify the shape of solidification shell is given with boundary variation in existing observation condition. numerical test shows that the method is valid
文摘:討論了鋼鐵工業連鑄過程中結晶器內連鑄坯凝殼形狀的確定方法.通過建立穩定溫度場模型，在現有觀測條件下，用邊界變分方法給出了確定鑄坯凝殼形狀的辨識演算法.實驗數據顯示此方法是有效的Function of bounded variation
有界變分函數Stability of bounded variation solutions to homogeneous linear ordinary differential equations
齊次線性常微分方程有界變差解的穩定性In chapter 3 we first show some important distributional characteristics of weak derivatives of bvh and sbvh functions as radon measures and we also give some sufficient and necessary conditions that a bvh function becomes a sbvh function
第三章我們先討論heisenberg群h ~ n上有界變差函數和特殊有界變差函數的弱導數作為radon測度的若干重要分佈特徵。分享友人