數論泛函 的英文怎麼說

中文拼音 [shǔlúnfànhán]
數論泛函 英文
number-theoretic functional
  • 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
  • 泛 : Ⅰ動詞1 [書面語] （漂浮） float; drift 2 （透出; 冒出） be suffused with 3 （淹沒） inundate; floo...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  1. Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations

    第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。
  2. Also, the author ’ s design strategy and creativity has been given in this paper. specifically, it includes : based on the feasibility analysis of the fit selection of control parameters in the aeration process, the aeration process of wastewater treatment of the joint - constructional complete - mixed activated sludge process has been aimed at in this paper. then, the state equations of the aeration process have been proposed in this paper, which is on the base of dissolved oxygen concentration ( do ) and discharge quantity of sludge ( qw ) as control variables, the concentration of bod and sludge as state variables. based on the present study on optimization control of wastewater treatment, the multivariable optimal control model with restriction factor has been presented in the paper with introducing modern control theory and system analysis into the field of activated sludge wastewater treatment,

    具體包括:以完全混合、表面曝氣合建式活性污泥工藝的污水處理曝氣過程為研究對象，在闡述了曝氣過程式控制制參數選取可行性的基礎上，建立了以溶解氧濃度do和活性污泥排放量qw為控制變量，以曝氣池中有機物濃度s和微生物濃度x為狀態變量的活性污泥曝氣過程的基本狀態方程;運用現代控制理論的觀點和污水處理理論，在現有關于污水處理最優控制問題研究的基礎上，建立了有約束條件多變量能耗最小數學模型，該數學模型是以有機物排放總量和狀態變量的末值條件作為約束條件，曝氣過程的能耗最小作為目標泛函;採用增廣拉格朗日乘子法對最優控制問題進行轉化，並對應用極大值原理求解能耗最小這一最優控制問題進行了詳細的解析;引入約束運算元，應用具有控制約束的共軛梯度演算法對能耗最小這一最優控制問題進行求解，並進行模擬實驗驗證。
  3. Firstly, there is a full discuss of space aircraft thermal control. the background of the research for this paper is also presented here, in chapter 2, there is a complete discussing of fem realization in numerical heat transfer, including delaunay grids generation and display, two - dimension temperature field function eduction and collectivity compound

    首先全面論述了航天器熱控制和熱分析的基本內容，指出本課題產生的工程背景。在第二章中完整地論述了有限元數值計算方法在解決傳熱問題中的實現，包括delaunay網格的生成與顯示，二維溫度場泛函的推導和溫度場的總體合成等。
  4. Throughout the following of this section, e denotes a real banach space and p is a cone in e. in chapter, a new three - solution theorem is obtained. moreover, the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases, namely they are united. so they are improved. the main results can be stated as the following : let d be a nonempty bounded close convex subset in e, and nonnegative continuous functional on d. and is concave while is convex. suppose 0 < d and denote

    首先我們約定，在下文中， e是實banach空間， p是e中的錐。在第一章中，我們利用錐理論與不動點指數理論統一了著名的amann三解定理與leggett - williams三解定理。主要結論是：設d是e中的非空有界閉凸集， ，是d上的非負連續泛函，且是凹泛函，是凸泛函。
  5. 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。
  6. Professor guo dajun has summarized in his work [ 7 ]. such several important tasks and theirs application of nonlinear functional analysis as typical nonlinear operators, hammerstein integral operations, ordinarily and partially differential equations. the cone theory, the positive solutions of nonlinear operator equations, the number and the branch of solutions, and so on. reference [ 1 ] includes all levels of results of the domain such as nonlinear functional analysis

    郭大鈞先生在專著[ 7 ]中對非線性泛函分析的幾個重要課題及其應用，諸如典型的非線性運算元、 hammerstein積分方程、常、偏微分方程、遷移方程、錐理論及非線性運算元方程的正解、非線性運算元拓撲度和不動點定理以及固有值、解的個數與分支，都做了系統的概括和總結
  7. Existence, uniqueness and continuous dependence of c0 solutions for an iterative functional equation related to invariant curves of functional differential equations with piecewise constant arguments are given under weaker conditions than that known results of c1 solutions. symmetry is also considered so that some obtained results are generalized to rn

    本章首先討論了與逐段常時滯泛函微分方程不變曲線有關的一類迭代函數方程的連續解的存在唯一性和連續依賴性，不但弱化了已有結果的c ~ 1光滑性的條件，還討論了連續解的對稱性，並根據對稱性將一些結果推進到高維。
  8. In chapter l, we introduce the relative background on this paper and give some simple expressions of the work which have been studied. in chapter 2, in virtue of the notion of likelihood ratio the limit properties of the sequences of dependent nonnegative continuous random variables are studied, and a class of strong limit theorems represented by inequalities are obtained. the bounds given by these theorems depend on positive constant c. in chapter 3, by means of the notion of log likelihood ratio, a kind random strong deviation theorem are obtained, and the bounds given by these theorems depend on r ( )

    第一章，介紹本論文的選題背景，對已有的工作進行扼要的介紹；第二章，利用似然比的概念研究相依連續型非負隨機變量序列的極限性質，得到一類強偏差定理，其偏差界依賴于正常數c ；第三章，利用對數似然比的概念得到一類隨機偏差定理，其偏差界依賴于r （ ） ，證明中引進了尾概率和尾概率的laplace變換的概念；第四章，利用對數似然比的概念，得到了一類關于任意連續型隨機變量序列的泛函的強偏差定理。
  9. 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。
  10. According to the dirac constrain theory and the extended condition, we deduce the gauge generators, show the brst transformation of ( 1 + 1 ) dimension o ( 3 ) non - linear model under the new general condition. we first gain the new general commutation relations of ghost field, deduce the brst charge from gauge generator, complete the general brst quantization of the model, get green function, connecting green function and generating functional, gain three kinds of ward identities. at last, we complete the brst quantization of o ( 3 ) non - linear model with topological term in ( 1 + 1 ) dimensions space - time

    最後依據dirac約束規范理論和推廣的條件，導出了規范生成元，推導出了1 + 1維o （ 3 ）非線性模型的新的一般條件下的brst變換，給出了其brst變換與dirac規范變換的等價性，首次得到了鬼場的一般對易關系，且其一般參數為零時就回到通常的鬼場的對易關系，第一次由規范生成元導出了brst荷，進而完成了此模型的一般的brst量子化，並在此基礎上進一步導出了此系統的green函數、連通green函數生成泛函和正規頂角生成泛函，獲得了三種不同的ward恆等式。
  11. Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows : 1. the optimization model of parameter identification of three - dimensional geologic history numerical simulation, algorithm and its application geologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil - bearing basin. according to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porosity ' s non - linear parabolic partial differential equation has been established

    本文應用現代最優化及最優控制理論，對如下一些問題進行了研究： 1 、三維地史數值模擬的參數辨識優化模型、演算法及應用地史模擬是盆地數值模擬的一個基礎性的研究內容，地層孔隙度是含油氣盆地地史演化發育過程中的重要參數，根據地層沉積埋藏機理和石油地質的物理化學原理，通過引入數學物理方程概念，建立了泥巖三維孔隙度場方程，根據問題的特點，給出了方程的定解條件，對方程的動邊界也給出了處理方法，並且證明了解的存在性與惟一性，在此基礎上建立了以當今實測數據為擬合準則的三維地史數值模擬的參數辨識優化模型，這是一個含有二階偏微分方程約束的泛函極值問題。
  12. Several examples and numerical simulations are shown to illustrate and reinforce our theory. in chapter 3, we firstly give both the definition of the discrete lyapunov functional and the proof of some properties of it for the dde with local positive or negative feedback in the delay term. secondly, we introduce the definition of the global attractor

    A6s藝fae藝在本文的第三章中，首先給出了對於一類時滯微分方程的用改變符號次數來定義的離散lyapunov泛函，並給出了其有關性質的理論證明，進而說明在時滯項具有局部正反饋或者局部負反饋條件下的時滯微分方程這樣定義lyapunov泛函的合理性，這是對前人在時滯項具有全局負反饋或者正反饋條件下的lyapunov泛函的推廣。
  13. This is due to the incompatibility of helium with the matrix atoms. but on the whole, the trend of helium distri bution by the determination was similar to that by calculation. and the depth which helium - 3 could reach in both samples were 350 microns and 500 microns respectively

    在金屬鋁中氦行為的理論研究中，基於密度泛函理論、廣義梯度近似、贗勢平面波方法，計算了單個he原子在金屬鋁中的各種能量數據，包括各種he原子-缺陷的形成能、遷移能、束縛能以及離解能數據。
  14. 4. using the bielecki ' s norm and the index theory of fixed points in a cone, we study the existence of positive solutions of boundary value problems for second order functional differential equations on infinite intervals

    利用bieleck ' s范數和錐上的不動點指標理論，我們研究了無窮區間上二階泛函微分方程邊值問題的正解的存在性。
  15. The study on the stability switches of functional differential difference equations is an important research branch of the stability theories, which of both the theory and its applications has broad prospects. the first part of this paper, chapter 2 and 3, deals with the stability switches for two classes of retarded differential difference systems, respectively. by analyzing the characteristic roots of characteristic equations, some algebraic criteria of stability switches are established, which are useful and easy to verify

    穩定性開關是泛函微分方程穩定性理論中的一個重要分支，無論是理論本身還是它的應用都有廣泛的前景，本文的第一部分（第2章、第3章）分別討論兩類二階滯后型微分差分系統的穩定性開關，通過分析特徵方程的特徵根，我們給出了存在穩定性開關現象的實用而又易於驗證的代數判據，並利用計算機模擬驗算了一個具體例子。
  16. After a minimal primer on functional differentiation, we obtain the general form of the regularized solution as a weighted sum of kernel functions centered at the data points

    我們會利用這理論來獲得正規化解法的一般形式，例如，如何于泛函數微分之後取得數據中核心函式的加權和。
  17. In this thesis, the solution of kolmogorov backward differential equations in birth and death process theory has been proved to be well - posedness by using the theories and methods of linear operator co semigroup in functional analysis. and the existence of superior eigenvalue of the coefficient matrix of the equations has been studied by using the theories of positive operator and conjugate operator

    論文主要用泛函分析中的線性運算元c _ 0半群理論研究生滅過程理論中柯爾莫哥洛夫向後微分方程組解的適定性，及用正運算元和共軛運算元的理論和一些結論研究了該方程組系數矩陣運算元的占優本徵值的存在性問題。
  18. The major tasks include : ( 1 ) expand the schema theorem for ga. the schema theorem with binary coding advanced by professor holland is expanded to limited integer, letter, floating point numbers the number of which value is limited, and their hybrid coding. ( 2 ) put forward replacing by the excellent chromosome ga ( recga ), superiority colony first ga ( scfga ) and improve the ga ; ( 3 ) make probability convergence analysis of recga using the theory of markov chain, random process ; ( 4 ) make convergence analysis of scfga using the principle of contractive mapping in functional analysis theory ; ( 5 ) design the test programs ( cap ) to resolve np problems ( course arrangement ) with gas ; based on recga, modify the arithmetic and then conduct tests

    主要有以下幾方面工作： （ 1 ）將二進制編碼遺傳演算法的模式定理擴展到由有限整數、字母或取值個數有限的浮點數編碼，或它們混合編碼的遺傳演算法范圍； （ 2 ）提出最佳個體替換策略遺傳演算法（ recga ） 、優勢群體優先策略遺傳演算法（ scfga ） ，對遺傳演算法進行改進； （ 3 ）使用隨機過程理論markov鏈對recga進行了收斂性分析； （ 4 ）使用泛函分析理論壓縮映射原理對scfga進行了收斂性分析； （ 5 ）使用遺傳演算法設計了解決np類問題（排課問題）的測試程序（ cap ） ，並根據recga對演算法進行改進並進行測試。
  19. Abstract : this paper discusses the conditional problem of the higher order derivatives depending on more than one function, sovles conditional problem of variation of definite integral constraint by using lagrange ' s method of multipliers, and studies the conditional problem of variation of more than one definite integral constrains

    文摘:討論依賴于多個函數的高階導函數的泛函的變分問題，並且利用拉格朗日乘子法討論此類泛函的一種書有定積分約束的條件變分問題的解法.最後討論有多個定積分約束的條件變分問題
  20. This paper discusses the conditional problem of the higher order derivatives depending on more than one function, sovles conditional problem of variation of definite integral constraint by using lagranges method of multipliers, and studies the conditional problem of variation of more than one definite integral constrains

    討論依賴于多個函數的高階導函數的泛函的變分問題，並且利用拉格朗日乘子法討論此類泛函的一種書有定積分約束的條件變分問題的解法.最後討論有多個定積分約束的條件變分問題
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