數值不等式 的英文怎麼說

中文拼音 [shǔzhíbùděngshì]
數值不等式 英文
numerical inequality
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 不 : 名詞[書面語] （剁物所用的木墩） a block of wood
  • 等 : Ⅰ量詞1 （等級） class; grade; rank 2 （種; 類） kind; sort; type Ⅱ形容詞（程度或數量上相同） equa...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 數值 : numerical value; numerial number; figure; magnitude; value數值表 numerical tabular; 數值天氣預報 ...
  • 等式 : [數學] equation; equality等式約束 equality constraint; 等式組 equality system
  1. 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。
  2. 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。
  3. Then the application of cauchy - inequality is illustrated by proving a proposition or an inequation, solving a triangle, and finding a solution to an equation or the maximum value & minimum value of a function

    然後給出了柯西不等式在命題證明、不等式證明、求解三角形問題、函數最值、解方程等方面的應用。
  4. In the higher mathematics category, routine methods to work out the proof of an inequation are a flexible use of mathematical knowledge like monotonicity of functions, extremum values, maximum and minimum values, convexity function, medium value theorem, taylor equation, holder inequation, schwarz inequation, and the analysis, formation and transformation of inequation problems as well

    摘要在高等數學?疇中，靈活運用函數的單調性、極值、最值、凸性函數、以及中值定理與泰勒公式、赫爾德不等式、施瓦茲不等式等數學知識，對不等式問題進行分析、構造與轉化，是解決不等式的證明問題的常用方法。
  5. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  6. Chapter 6, consider a coupled generalized kdv - burgers equation. in section 6. 2, we study the initial - boundary value problem in the semi - unbounded domain, the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time. in section 6. 3, the cauchy problem by using the weighted space, the existence of the global attractors for a coupled generalized kdv - burgers in an semi - unbounded domain is proved

    第六章，考慮了一類廣義耦合的kdv - burgers方程，在第二節中討論了半無界區域上的初邊值問題，證明了整體光滑解和整體吸引子的存在性；在第三節中討論了cauchy問題，利用加權函數和加權空間上的插值8不等式，證明了半無界區域上整體吸引子的存在性。
  7. Similar to the famous von - mise condition on the extreme value theory of 1 - max style, the judge condition that absolutely continuous distribution function is in the domain of attraction of p - max style distribution function is given. at the same time, the error inequality between samples and true values is obtained, and almost sure convergence theorems on the extreme value theory of p - max style are also given

    類似於l - max型極值理論中著名的von - mise條件，本文給出了絕對連續分佈函數f落在p - max型極值分佈函數的吸收域中的判斷條件，給出了樣本與真值的誤差不等式，並給出了關于p - max型極值理論的幾乎處處收斂定理。
  8. 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。
  9. By means of linear matrix inequalities, a sufficient con dition is given for uncertain discrete singular system to be generalized quadratically stable and strictly passive, based on which, a sufficient condition is given for the existence of a state feedback controller, such that the resulting closed - loop system is both generalized quadratically stable and strictly passive for all the admissible uncertainties, all conclusions carry with them corresponding examples to prove the effectiveness, and the corresponding controllers are also presented

    利用線性矩陣不等式，給出不確定離散廣義系統廣義二次穩定且嚴格無源的充分條件，並在此基礎上給出存在狀態反饋控制器，使得閉環系統廣義二次穩定且嚴格無源的充分條件。每一節均給出數值算例來說明結論的有效性，同時給出相應的控制器構造。
  10. This paper proposes a new signature scheme which is verified by an inequality and is the extended form of the equality verification. the new scheme is secure in theory and is suitable for some practice

    本文提出了一個新的數字簽名方案，它通過判定驗證值是否滿足一個不等式的方式來驗證簽名的合法性，實質是等式驗證的進一步推廣.新方案在理論分析上是安全的，並具有較大的實用價值
  11. The subject is related and has applications to many different branches of pure and applied science such as operator theory, functional analysis, c " - algebras, banach algebras, matrix norms, inequalities, numerical analysis, perturbation theory, matrix polynomials, systems theory, quantum physics, etc. in recent years, the quadratic numerical range, one of the most important generalizations of the numerical range, was put forward in the course of people studying the spectral theory of the block operator matrix to the need of the development of some branches mentioned above

    對它們的研究涉及到了基礎數學及應用數學許多不同的分支，諸如運算元理論，泛函分析， c ~ * -代數， banach代數，矩陣范數，不等式，數值分析，擾動性理論，矩陣多項式，系統論，量子物理等等，並且在這些分支上面得到了廣泛的應用。近年來，為了上述某些數學分支發展的需要，人們在研究分塊運算元矩陣譜理論的過程中引入了數值域的一個重要推廣：二次數值域。
  12. 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。
  13. This thesis is concerned with fault detection and isolation problem for dynamic systems such as norm - bounded uncertain systems, state - delayed uncertain systems, linear parameter - varying systems with time delays, time - delay systems with markovian jump parameters and nonlinear systems by using fault detection filter, threshold selection method and linear matrix inequalities

    本論文研究了動態系統的魯棒故障檢測與分離問題，基於故障檢測濾波器和閾值邏輯方法，採用線性矩陣不等式技術，研究了范數有界不確定系統、時滯不確定系統、時滯lpv系統、時滯馬爾可夫跳躍系統、非線性系統的魯棒故障檢測與分離問題。
  14. Fist, the problem of robust stability for the uncertain linear discrete - time systems is studied where the uncertain matrixes are unstructured, highly structured, norm bounded and matrix polytope structured. the relevant conditions that the systems is robust stability are obtained using the characteristic value method, lyapunov function method and linear matrix inequality method. then we give some examples to prove

    分別針對具有非結構不確定性、強結構不確定性、矩陣多胞形結構不確定性和范數有界不確定性等線性離散系統，利用特徵值方法、 lyapunov函數方法和線性矩陣不等式方法等進行討論，給出了相應系統的魯棒穩定性判別條件，並通過算例進行了驗證。
  15. One is, based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping. two is to consider the convexity, closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions

    研究分有三個方面：一是藉助于偏序理論在有限維歐氏空間中解決了上述公開問題，在此基礎上利用集值映射的-預解運算元，研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性，並提出了一類變參數三步迭代演算法；二是藉助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性；三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性並提出了一類求解廣義集值變分包含問題的直接變參數三步迭代演算法。
  16. This paper at first generalize the classic doob ' s inequality which can be applied into more general functions

    本文首先推廣了古典的doob不等式，使其適用於更廣泛的一類函數值，並在此基礎上重新定義了一組鞅空間。
  17. By introducing the concepts of constraints measure and feasible degree, the extent to which the decision variables subject to the inequality constraints and equality constraints is described and then the self - adaptive penalty function is constructed, whose values are adaptively changed with the constraints feasible degree

    該策略通過引入約束可行測度、可行度等概念來描述決策變量服從于不等式約束和等式約束的程度，並以此構造處理約束條件的自適應懲罰函數，懲罰值隨著約束可行度的變化而動態自適應地改變。
  18. We apply these dual algorithms to solve a large number of nonlinear optimization problems with relative small scale, including inequality constrained optimization problems, unconstrained minimax problems and general constrained optimization problems

    用這些演算法計算大量的規模不是很大的不等式約束優化問題，無約束極大極小問題，一般約束優化問題，數值結果表明它們是有效的
  19. The proof is based on rosenthal type maximal inequality, rosenthal type inequality, several lemmas and properties of slowly varying function

    定理的證明基於rosenthal型最大值不等式， rosenthal型不等式，幾個引理及緩變函數的性質。
  20. However, after a hdjek - renyi type inequality is obtained, the proof of the slln becomes an obvious problem

    然而一旦得到h jek - r nyi型的極大值不等式，強大數定律的證明就變得顯而易見。
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