近似可微性 的英文怎麼說
中文拼音 [jìnsìkěwéixìng]
近似可微性
英文
approximate differentiability-
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。We can show the existence of solutions to the differential inclusions problem by baire category method, and so the formal problem. the main steps of using baire category method are as follows. first we construct a complete metric space v. then with the help of the likelihood functional, we obtain a series of open and dense subset vs in v. finally, by baire category theorem, we know that the subset vs is dense in v
本文指出在適當的條件下，可以將原問題轉化為一個微分包含問題：對於此微分包含問題運用baire稠密性方法，構造一個完備的度量空間，也就是容許函數空間，再利用似然泛函構造出它的一列稠密開子集（實際上是逼近解集） ，從而由baire稠密性定理可以得到解的存在性。This work gives amsotropy surfaces of three collision systems he - hf, he - hcl, he - hbr. comparing theoretical results with experimental ones has carried out the discussion on feasibility of adapted potential model. all differential cross sections ( dcs ), partial wave cross sections ( pcs ) and total scattering cross sections ( tcs ) have been achieved by using close - coupling approximation method to calculate the three systems, and results above have also been discussed and analyzed
首先，具體介紹了理論計算方法? ?密耦近似方法，接著討論了各種勢能模型的優缺點，利用孫桂華改進的勢能模型? ? ms勢，分別給出了he - hf 、 he - hcl 、 he - hbr三個碰撞體系的各向異性勢能面，並結合計算結果與實驗結果的比較，對所採用的勢能模型的可行性展開了討論；用密耦近似方法對he - hf 、 he - hcl和he - hbr三個碰撞體系進行計算，得出了各種微分散射截面、分波截面和總散射截面，並將計算結果進行討論和分析。With the method of the lie group transformation, the symmetry of the equation governing one dimensional finite strain consolidation is discussed and, from the point of the symmetry, the feasibility to obtain the analytical solution of these nonlinear partial differential equations is discussed. where - after exact or approximate analytical solutions focused on different consolidation problems are obtained, these including : under some assumptions of relations of the void ratio with coefficient of permeability and effective stress, the method of lie group transformation is applied to solve the non - linear partial differential equation of large strain consolidation of homogenous saturated clay soil in semi - infinite domain with the consideration of the material and geometrical nonlinearity during consolidation procession. the implicit exact solution without considering the effect of self - weight of soil is obtained
運用lie群變換方法討論了一維大應變非線性固結方程的對稱性，以及在該對稱性的意義下求解這類非線性偏微分方程解析解答的可能性，並就大應變非線性固結問題的多種情況求得了其完整的或者近似的解析解答，具體包括：基於有效應力與孔隙比以及滲透系數與孔隙比之間的關系的一些假定，採用李群變換求解考慮材料非線性和幾何非線性的半無限均質土體大變形固結非線性偏微分方程，得到了一個不考慮自重固結的完全解析解。This feature reflects the physical phenomenon of breaking of waves and development of shock waves. in the fields of fulid dynamics, ( 0. 2. 1 ) is an approximation of small visvosity phenomenon. if viscosity ( or the diffusion term, two derivatives ) are added to ( 0. 2. 1 ), it can be researched in the classical way which say that the solutions become very smooth immediately even for coarse inital data because of the diffusion of viscosity. a natural idea ( method of regularity ) is obtained as follows : solutions of the viscous convection - diffusion pr oblem approachs to the solutions of ( 0. 2. 1 ) when the viscosity goes to zeros. another method is numerical method such as difference methods, finite element method, spectrum method or finite volume method etc. numerical solutions which is constructed from the numerical scheme approximate to the solutions of the hyperbolic con - ervation laws ( 0. 2. 1 ) as the discretation parameter goes to zero. the aim of these two methods is to construct approximate solutions and then to conside the stability of approximate so - lutions ( i, e. the upper bound of approximate solutions in the suitable norms, especally for that independent of the approximate parameters ). using the compactness framework ( such as bv compactness, l1 compactness and compensated compactness etc ) and the fact that the truncation is small, the approximate function consquence approch to a function which is exactly the solutions of ( 0. 2. 1 ) in some sense of definiton
當考慮粘性后，即在數學上反映為（ 0 . 1 . 1 ）中多了擴散項（二階導數項） ，即使很粗糙的初始數據，解在瞬間內變的很光滑，這由於流體的粘性擴散引起，這種對流-擴散問題可用古典的微分方程來研究。自然的想法就是當粘性趨于零時，帶粘性的對流-擴散問題的解在某意義下趨于無粘性問題（ 0 . 1 . 1 ）的解，這就是正則化方法。另一辦法從離散（數值）角度上研究僅有對流項的守恆律（ 0 . 1 . 1 ） ，如構造它的差分格式，甚至更一般的有限體積格式，有限元及譜方法等，從這些格式構造近似解（常表現為分片多項式）來逼近原守恆律的解。In this paper, 85 strains of endophytic fungi were isolated from ginkgo biloba. they were identified as colletotrichum sp., sphaerosis sp.,
植物內生真菌是近年深受重視的一類重要微生物資源，一般認為它們可產生與宿主植物相同或相似的生物活性物質。Similar to 3 - acids polishing, flashing light on aluminum surface. slightly etch to semi - sand plane
與酸性拋光的效果近似，鋁件可得光面的效果兼具微蝕刻功效。分享友人