正泛函 的英文怎麼說

中文拼音 [zhēngfànhán]
正泛函 英文
positive functional
  • 正 : 正名詞（正月） the first month of the lunar year; the first moon
  • 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. The biorthogonality properties of the multiple vaector - valued wavelet packets in higher dimensions are investigated by virtue of functional analysis methods and fourier transform, and biorthogonality formulae regarding these wavelet packets are obtained

    運用泛函分析方法、傅立葉變換與積分變換，討論了它們的雙正交性，得到關于多元多重向量值小波包的雙正交公式。
  2. Based on the theories of hybrid / mixed finite element method, the generalized energy functional including stress, mechanical displacement, electric displacement, electric field and electric potential is used, with the electric - potential relations and the constitutive equations of piezoelectric materials constrained, hybrid energy functional including mechanical displacement, electric potential and stress is gained. moreover, splitting in - plane components and transverse components, the mixed energy functional in which mechanical displacement, transverse stresses and electric potential as basic variables is derived. with the use of surface stress parameters of sub - elements, the continuity of transverse stress at interfaces between layers is obtained

    在回顧雜交混合有限元理論的基礎上，從包括位移、應力、應變、電勢、電位移、電場強度六個未知量的廣義壓電材料能量泛函出發，通過約束電場強度?電勢關系、應力與應變及電場強度的關系，得到僅包括位移、電勢、應力三個未知量的雜交變分泛函，利用一般層合板的雜交混合變分原理，分離面內分量和橫向分量，導出以位移、橫向應力、電勢為未知量的壓電層合板的修正變分泛函，作為壓電層合板的雜交元列式的理論基礎。
  3. The thesis deduces the generating functional of proper vertexes and brst transformation of the system of matter field coupling to non - abel gauge field, gives noether conservation charge of brst transformation, shows up the model ' s brst transformation when the gauges are lorentz, coulomb and radiation gauges, respectively, finishes the brst quantization of ghost field in ( 1 + 2 ) dimensions model with non - abel chern - simons term coupling to the scalar field, achieves the lagrange density and hamilton density under brst transformation

    導出了物質場與非abel規范場耦合系統的brst變換以及此變換下的ward恆等式和正規頂角的生成泛函，給出了其brst變換下的noether守恆荷。針對lorentz規范、庫倫規范、輻射規范三種情況分別給出了此模型的brst變換，並得到了自洽的結果。完成了（ 1 + 2 ）維時空中非abelchern - simon項和標量場耦合系統中鬼場的brst量子化，得到了brst變換下的noether荷和其對應的拉氏量和哈密頓量。
  4. In the final part we concern with the convergence rates of ergodic limits and approximation for k - regularized resolvent families for a linear volterra integral equation. we give the ergodicty for k - regularized resolvent operator families at 0 and we also prove their basic properties by means of k - functional and relative completion. finally, we obtain some results of the convergence rates of ergodic limits and approximation for k - regularized resolvent families

    第四章我們主要研究了k -正則預解運算元族的遍歷極限的收斂率和逼近。藉助于k -泛函和相對完備化，給出了k -正則預解運算元族在0點的遍歷性，證明了一些基本性質。我們也證明了k -正則預解運算元族的遍歷極限的收斂率和逼近的一些結果。
  5. Positive linear functional

    正線性泛函
  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. 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。
  8. Functional inequalities for fractional powers of positive definite self - adjoint operators

    正定自伴運算元分數冪的泛函不等式
  9. 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。
  10. Next we study the logistic model with both state - dependent delays and continuous delays and feedback control. with the help of coincidence degree theory, some new results for the existence of the postive periodic solution of the system are obtained. also, by constructing suitable lyapunov functional, some sufficient criteria for the uniqueness and globally asymptotic stability of positive periodic solution are established

    第二部分研究同時具有狀態依賴時滯和連續時滯的反饋控制logistic增長模型，利用重合度理論研究其正周期解的存在性問題，得到了該系統周期正解存在的充分性條件；通過構造適當的lyapunov泛函得到保證該系統存在全局穩定周期解的充分性條件。
  11. 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。
  12. Existence of positive periodic solutions for a class of functional differential equations

    滯后型泛函微分方程正周期解的存在性
  13. The second part of this paper is concerned with the theory of retarded functional differential equations ( rfdes ) and applications to the existence of positive periodic solutions of rfdes

    本文的第二第二部分著重討論一類滯后型泛函微分方程（ rfdes ）正周期解的存在性。
  14. The first part is concerned with caristi ' s fixed point theorem, while the existence of positive periodic solutions of retarded functional differential equations is discussed in the second part

    第一部分研究集值型映射的caristi型不動點定理，第二部分討論滯后型泛函微分方程正周期解的存在性。
  15. The first part is concerned with the stability and hopf bifurcation from an equilibrium for two classes of retarded differential difference systems, while the second part deals with the existence of positive periodic solutions of retarded functional differential equations with infinite delay

    本文分兩個部分，第一部分研究兩類三維特殊的滯后型微分差分系統平衡點的穩定性和hopf分支，第二部分討論無窮時滯泛函微分方程正周期解的存在性。
  16. 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。
  17. 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。
  18. We use the leggett and williams fixed point theorem to discuss the existence of three positive solutions for the boundary value problem of second - order nonlinear functional differential equation

    3我們使用leggett和williams不動點定理討論了二階非線性泛函微分方程邊值問題的三個正解的存在性。
  19. Extension of yoshizawa periodic solution theorem is mentioned in the third part. nonautonomous three species predator - prey delay diffusion system with michaelis - menten response function is studied. we obtain not only existence of periodic solution of the system, but also sufficient condition of positive periodic solution

    由於許許多多現實問題往往都可歸結為尋求以微分方程（常微分方程、泛函微分方程）為數學模型的周期解、概周期解，因此本文在第三部分運用yoshizawa型周期解定理的推廣，研究了以下具有michaelis ? menten型反應函數的非自治三種群時滯擴散捕食系統的周期解的存在性，給出存在正周期解的充分性條件。
  20. Possible geometrical structures and relative stability of semiconductor microclusters ganpn ( n = 1 - 5 ) are studied by using density functional calculations with generalized gradient approximation ( b3lyp ). for the most stable isomers of ganpn ( n = 1 - 4 ) clusters, the electronic structures, vibrational properties, dipole moments, polarizability and ionization potential are analyzed using hf, mp2, cisd and b3lyp methods with different basis sets

    用梯度修正的密度泛函方法（ b3lyp 6 - 31g ）優化了ga _ np _ n （ n = 1 - 5 ）團簇的可能幾何構型，計算了各穩定構型的的振動光譜，並用不同方法（ hf 、 mp2 、 cisd等）研究了各穩定構型的電子結構、電離勢、偶極矩和極化率等性質。
分享友人
分享到 Line

分享到臉書