有界函數論 的英文怎麼說

中文拼音 [yǒujièhánshǔlún]
有界函數論 英文
theory of bounded function
  • 有 : 有副詞[書面語] （表示整數之外再加零數）: 30 有 5 thirty-five; 10 有 5年 fifteen years
  • 界 : 名詞1 （相交的地方; 劃分的界限） boundary 2 （一定的范圍） scope; extent 3 （按職業、工作或性別等...
  • 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
  • 論 : 論名詞（記錄孔子及其門徒的言行的「論語」） the analects of confucius
  • 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. The article stated here will give some remarks to the following equation in two cases : for the case > 0, the equation expresses the eigenvalue of the laplacian while for the case = 0, it is the existence of nontriv - ial bounded harmonic functions on complete noncompact manifolds

    本文中我們主要分兩種情況來討論了關于laplace運算元的方程： u + u = 0 ， r ~ + { 0 }對應於0 ，是riemann流形上laplace運算元的特徵值問題，而對應于= 0則是完備非緊流形上非平凡的有界調和函數的存在性問題。
  2. Second, we discuss the influence of environmental referance potential temperture and thermal wind on mesoscale symmetric instability. we find the expression of disturbance stream function and criterion of symmetric instability by analytical method and conclude that change caused by environmental referance potential temperture with height and thermal wind make critical richardson number and disturbance critical half - wave length of symmetric instability larger, that is to say, they benefit the occurance of symmetric instability. third, we study nonlinear perturbation analysis of mesoscale vertical circulation and evolution equation by means of f - plane. non - hydrostatic balance and filiter model

    第二，討論了環境位溫與熱成風因子對中尺度對稱不穩定的影響。運用解析的方法求出了擾動流函數的表達式和對稱不穩定的判據，發現環境參考位溫隨高度的變化與熱成風因子使得對稱不穩定臨界理查遜數及擾動的臨界半波長都變大，這有利於對稱不穩定的發生。第三，採用f平面、非靜力平衡、濾聲波模式，討論了中尺度垂直環流非線性攝動分析及演變方程。
  3. By introducing proper stretchy variable and constructing boundary layer function, it concludes n - order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved

    通過引進適當的伸長變量，構造邊界層函數，得到了解的n階近似值，並利用微分不等式理論證明了解的漸近展開式的一致有效性。
  4. 2. using the property of the bilinear and trilinear form, a priori bound for solutions of a weak formulation is given

    利用雙線性函數和三線性函數的性質，論述了各子問題的有界性、強制性以及解的先驗估計。
  5. We make the following assumption for when 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of least squares estimate have been discussed in many documents. considered 2 is nonnegative definite matrix, this thesis derives best linear unbiased estimate of parameter matrix b and estimable parameter function kbl under the meaning of matrix nonnegative definite and the property of maximum probability of blue is investigated. next, we discuss some necessary and sufficient conditions of the equality of the lse and blue, then we derive the estimation of the deviation bet - ween the least squares and the best linear unbias estimators of the mean matrix, meanwhile a relative efficiency of lse ofb is proposed and its bound is given

    當0時，眾多文獻討論了回歸系數陣的各種估計及lse的有效性，本文考慮了當0的情形，給出了回歸系數陣b及其可估參數函數kbl的在矩陣非負定意義下的最優估計（ blue ） ，研究了它的一個最大概率性質，並且討論了最小二乘估計成為最佳線性無偏估計的充分必要條件，在此基礎上給出了均值矩陣的最小二乘估計與blue的偏差估計，定義了lse相對于blue的一個相對效率，並給出了它的界。
  6. Rs theory was proposed by pawlak in 1982. the focus of rs theory is on the ambiguity caused by limited discernibility of objects in domain of discourse. fuzzy set theory was proposed by zadeh in 1965 and hinges on the notion of a membership function on the domain of discourse, assigning to each object a grade of belongingness in order to represent an imprecise concept. the combination of fuzzy sets and rough sets are a new study and is very value in fact

    粗糙集理論是波蘭數學家z . pawlak於1982年提出來的兩種處理不確定和不精確數據的理論，是通過等價關系來研究對象之間的不可分辨關系;模糊集理論是美國控制論專家zadeh於1965年提出的一種處理非精確的現象的數學工具，是利用集合的特徵函數來處理邊界的不可定義性，在模糊集合中並沒有應用對象之間不可分辨性的概念。
  7. First, in virtual of identification of flaws is a typical of in - verse problems, proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation, the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given. second, the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon. finally, indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects, meanwhile, the proof of possibility for near - field measurements and nu - merical simulation are given

    由於缺陷的識別是一類典型的反問題，因而首先從時諧電磁maxwell方程和helmholz方程出發，具體地闡述了求解正散射問題的有關方法，包括各種（夾雜）邊界條件下的數值解法，就解的存在性唯一性給予了肯定的回答；隨后對逆散射問題的理論作了簡短的回顧，包括解的唯一性以及非線性不適定積分方程的處理等；然後對均勻介質和非均勻介質的逆散射問題建立了在各種邊界條件下的邊界識別的指示函數方法，鑒于近場數據獲得的重要性，對近場測試時邊界識別的方法給予了相應的證明，並且實現了數值模擬。
  8. The paper analyzes and discusses the law that the result precision of thermal stress is affected by the proportionments of element border length, border condition, form function and so on, and compares the method with displacement finite element method being used

    分析、討論單元邊長比、邊界條件以及插值函數形式等對熱應力結果精度的影響規律，並與現有的位移有限元方法進行比較、分析、評述。
  9. It builds a physical model according to hoisting capacity, lifting angle and structural stabiliy, theory, solves the problem of function relationships among lifting capacity, lifting angle, boom weight, boom dimension and deduces the natural boundary condition of design parameters, providing a new way to determine crane design parameters

    摘要將起重量和起吊幅度為基本設計依據，以壓桿穩定理論為分析基礎，結合專業知識，建立物理模型，解決了起重量、起吊幅度與吊臂質量、吊臂主要參數之間的函數關系的難題，首次確定出設計參數的自然邊界條件，為起重機設計者提供了確定設計參數的新方法和科學依據，具有開創意義。
  10. 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。
  11. Theoretical analysis and experimental results indicate that algorithm ecfpcg1 and algorithm ecfpcg2 es - tablished by specifying parameters are much more efficient than the imth method, and roughly speaking, the relative efficiency of the algorithms versus the imth method tends to + 00 at the asymptotic formula inn / in3 when n tends to + 00

    理論分析結果表明：這兩個演算法比imth方法具有更高的效率，而且，演算法ecfpcg1的效率高於演算法ecfpcg2的效率。進一步地，演算法ecfpcg2與imth方法的效率比分別為問題維數n和目標函數復雜性嚴格遞增函數，而且這個效率比的下界隨問題維數n的增大以ln （ n ） ln3的速率趨于無窮大。
  12. Equation ( 4 ) is said to belong to limit circle type if all solutions of equation ( 4 ) belong to l ~ ( 2 ) ( simply denoted by l. c. ) equation ( 4 ) is said to belong to lagrange stable if all solutions of equation ( 4 ) belong to ( simply denoted by l. s. ). in chapter 4, we study criteria for the linear nonhomogeneous differential equation belonging to the limit circle type

    方程（ 』 ）稱為極限圓型的，若方程（ 』 ）的所有解都屬于護[ a ， co ） （簡記為l . c . ） ;方程（ 』 ）稱為拉格拉日穩定，若方程（ 』 ）的所有解均屬于lco [ a ， co ） （簡記為l . s . ） .由於方程（ 』 ）解的平方可積性及有界性的研究在微分運算元理論、按微分方程的特徵函數展開理論以及無界區間上受控系統的最佳控制理論等方面具有重要應用
  13. The main contributions of this dissertation are listed as the followings : l ) deducing and proving the " three in one " theory of natural monopoly, that is, from the angles of economies of scale, economies of scope and economies of network, giving an explanation of natural monopoly ; 2 ) putting forward the concept of " strict superadditivity " and proving that total value function and total revenue function of network economy have strict superadditivity ; 3 ) summarizing the emerging characteristics in the market definition of natural monopoly, that is, in the monopoly industry, " market " tends to be more and more smaller than " industry " ; 4 ) expounding that the objective patterns of regulatory reforms of the railway industry in china are explicit regulation with partly characteristics of implicit regulation ; 5 ) proving the idea that the structural reforms of the railway industry in china should be hierarchical ; 6 ) demonstrating the theoretical bases for whether infrastructure management should be separated from transpo rt operation ; 7 ) expounding and proving that the interior of the railway industry in china should implement the differential property rights reform pattern

    本文的研究特點在於： （ 1 ）在規模經濟、范圍經濟的基礎上進一步推導並證明了網路經濟與自然壟斷的關系，即自然壟斷可以從規模經濟、范圍經濟、網路經濟三個角度來解釋論述； （ 2 ）明確提出了一個與鮑莫爾、潘澤與威利格等人提出的「成本劣加性」相類似的概念? ?價值優加性，並證明了網路經濟的總價值函數和總收益函數具有嚴格優加性； （ 3 ）概括了自然壟斷市場界定中所出現的新特徵，即在壟斷產業中， 「市場」正越來越小於「產業」 ； （ 4 ）進一步論證了中國鐵路產業規制創新的目標模式是兼有部分內生規制特點的外生規制； （ 5 ）在中國鐵路產業的結構改革中應體現分層次的思想； （ 6 ）明確論述了內容提要鐵路路網公司等自然壟斷環節是否分割的理論基礎; （ 7 ）提出並進一步證明了中國鐵路產業內部應實行差異化的產權改革模式。
  14. Then i consider a correlative problem : where m, > 0, s is a bounded domain with smooth boundary in ; v is outward normal vector on ; f ( s ) is continuous function and satisfies some increasing conditions ; u0 ( x ) is a positive function satisfying some compatibility conditions, to obtain the blow - up conditions of the positive solution using the method of subsolution and supersolution, extend the result of song and zheng

    ）上的單位外法向； u _ 0 （ x ）是正的函數且滿足一定的相容性條件：討論m 1的情況時，在何種條件下使得問題的正解整體存在或是在有限時刻爆破。主要採用上下解的方法來得到結論。隨后考慮相關問題：其中m ， 0 ，為r ~ n （ n 1 ）中的有界域，具有適當光滑的邊界（
  15. This paper introduces the fractional integrals and the fractional maximal functions on ( r ( superscript n ) ), and discusses their boundedness. the obtained results accord with the doubling measure relative results

    摘要在非二倍測度條件下引入分數次積分和分數次極大函數，並討論了它們的有界性，其結果與二倍測度相應結果一致。
  16. 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。
  17. Space - time wave has a far greater and wider significance than particle wave vibration. no matter what mechanical vibration, electromagnetic surge or vocal wave, they are all manifestation of space - time vibration or a certain wave in special scope, all of which are general phenomena in nature of both macrocosm and microcosm, and can be expressed by stwf

    時空波動比粒子振動或波動有更廣泛深刻的含義，凡有空間有物質存在的地方都存在著時空波動，無論是機械振動電磁振蕩聲音振動等均是時空波動的某種表現形式，或是在某個特定時空范圍的波動，這種自然界的普遍現象在宏觀或微觀世界都可用時空波函數表達出來。
  18. With the using of microsoft visual basic 6. 0, a multimedia computer - aided design system of small type pumping irrigation district is developed in this paper. provided with the live multimedia messages as well as a good man - machine conversation mechanism, this system can help the user to finish the planning of an pumping irrigated area such as the layout of canal system, the selection of pump models, the establishment of the irrigation program, the calculating of canals " parameters, the estimate of the project magnitude, the selection of the field constructions, the economic analysis of the project, the output of results, etc, a new oo ( object oriented ) programming method is adopted in this system, various softwares are integrated in this systems as well by the " automation " technic provided by vb, in addition, the multimedia technic is applied to this system for the first time, it makes the system easy to ope rate. as for the optimization of the canals " section, a new optimization method is adopted based on the existing theories about the canals " section, and in this way, with the purpose of minimizing the project ' s investment as well as a stalized canal, limited by the longituding slope, the canals " best feasible parameters can be deduced. furthermore, a integral method to reckon the earth work is developed in this paper, by this way, the estimate precision of the earthwork is enhanced notably. this paper includes the particular illumination for the developing procedure of each systems " segment, and in the end, the directions of the system are demonstrated in a sample area which lies in the zhaija village, taizhou city, jiangsu province, the running results showed that the initial purposes are achieved effectively, and it has a preferable practicability

    在渠道縱橫斷面優化方面，本文在利用已經比較成熟的縱橫斷面優化理論的基礎上，提出以工程總費用最小為目標函數，以渠道縱坡i為控制變量，以渠道不沖不淤流速及灌區允許地面比降為約束條件，通過縱橫斷面聯動優化的方法得到渠道的最佳工程可行的斷面參數。另外，針對部分地區的取土困難的狀況，本文採用積分法計算渠道工程土方量，從而大大提高了土方量的估算精度，有助於準確控制工程投資規模及資金投向。本文詳細闡述了該系統所採用的編程方法、系統構成、系統各組成模塊的開發過程以及灌區規劃所採用的優化方法及原理，最後應用本系統對泰州市翟家村機電灌區進行規劃設計，運行結果證明其操作比較簡便，界面友好，運行速度快，規劃成果合理，基本達到了系統預定的要求，具備較強的實用性。
  19. The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem

    （ ? ， ? ）為r ~ n中內積， | ? |為對應范數。 f [ 0 ， t ] r ~ n r連續， ? f （ t ， x ）存在且連續， h l ~ 1 （ 0 ， t ； r ~ n ） 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性，把非線性項和位勢函數放寬到一類無界函數，推廣了這方面工作的一些已有結果；利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解，取掉了泛函的常定要求；最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。
  20. The second problem is the comparison principle on the full space. for the viscosity supsolution and subsolution v and u, we have the result u < u on the condition that lim finally, we investigate the compar - iaon principle for unbounded functions on the full space. when the equation ' s subsolution and supsolution u and v satisfy c is constant ) and the proper assumptions of the equation and the measure, we proved the comparison principle

    第二個問題是全空間上的比較原理，對這類方程的上下解v和u ，只要，也有比較結果u v ，最後討論全空間上無界函數的比較原理，當方程的上、下解低於一次增長，在對方程和測度的適當假設下，證明了粘性解的比較原理。
分享友人
分享到 Line

分享到臉書