模泛函 的英文怎麼說

中文拼音 [mófànhán]
模泛函 英文
modular functional
  • 模 : 模名詞1. （模子） mould; pattern; matrix 2. （姓氏） a surname
  • 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. In chapter 3, two nonlinear modified gilpin - ayala models with distributive delay and continuous diffusion are studied. some simple sufficient conditions for globally asymptotically stable and asymptotically stable of the unique positive equilibrium point are established by constructing lyapunov functional

    在第二章中，我們研究的擴散行為是離散的，而在第三章中，我們研究兩類含連續擴散行為的非線性時滯gilpin - ayala模型（反應擴散方程） ，通過構造lyapunov泛函獲得其平衡態全局漸近穩定、漸近穩定的一些充分條件。
  2. The molecules we studied are a series of trans - stilbene derivatives. first, we applied dft method optimized the new synthesis molecule 4, 4 ' - bis ( dimethylamino ) stilbene ' s structure, and used few states model calculated its tpa cross section. the results agree well with the experiment data

    首先，我們在密度泛函理論（ densityfunctiontheory ）的水平上對最近合成的分子材料4 ， 4 -二甲氨基二苯乙烯的結構進行了優化，然後採用少態模型方法計算了分子的雙光子吸收截面，得到了與實驗符合很好的結果。
  3. The existence and uniqueness of global solutions in a functional differential equation model of biological population

    一個有關生物種群的泛函微分方程模型整體解的存在性和唯一性
  4. Then, an ideal elastic stress - strain relation model is debated to buildup the equivalent load from the development deformation. the potential energy fonctionelle is built with the structural displacements introduced. the optimization equations are built by making the variation of the potential energy fonctionelle be zero

    根據有限元方法，引入網格結點結構位移，建立了以單元結點lagrange位移和結構位移表達的變形位能泛函，利用變分法理論建立了使變形位能取極小值的優化模型。
  5. 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。
  6. In the third chapter, connected with the cube lattice model, we present the steps of the renormalization group and indicate the corresponding relationship between the fixed points of the renormalization group and the critical points

    在第三章中結合立方晶格模型介紹了基於泛函積分的重整化群方法的幾個步驟以及重整化群中的固定點和臨界點的對應關系。
  7. 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。
  8. The vibrations of ru - terminal ligands q - mode and intra - bridged ligand 6a mode as well as their combination in the mixed valence taube ion are studied by using density functional theory method under the borh - oppenheimer approximation. it is found that these three vibrations all are harmonic vibrations. and q - vibration causes the charges on ru1 and ru2 atoms to be asymmetrical distribution. the charge transfer between ru and terminal nh

    在borh - oppenheimer近似下，應用量子化學的密度泛函理論方法研究了混合價taube離子中金屬與配體之間的振動q -振動模式橋配體內的振動6a振動模式以及這兩種振動的組合。發現這三種振動模式都可以看成簡諧振動。
  9. 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。
  10. Based on the linear superposition theory in quantum mechanics, a kind of multi - mode functional superposition state light field which is made up of distinct unsymmetry five different multi - mode functional coherent states is developed

    摘要依據量子力學中態的疊加原理，構造了由5個多模泛函相干態的線性疊加所組成的一種五態疊加多模泛函疊加態光場。
  11. Secondly, the nonlinear optical properties with pna molecule in different solvents are studied through using the polarized continuum model and few states approach on the base of time dependent density functional theory, and the first order nonlinear hyperpolarizabilities in second harmonic generation process are computed

    然後在含時密度泛函理論基礎上採用極化連續模型和少態方法研究了不同溶劑中pna分子的非線性光學性質，計算了二次諧波振蕩過程的一階非線性超極化率，並討論了pna分子的非線性光學性質與溶劑極性之間的關系。
  12. After geometry optimization, their energy band structure, densities of states were calculated and analysised. we also calculated the model of doping cr, which can change the energy band structure of cdgeas2, the result is valuable for decreasing optical absorption. through the energy analysised, it was suggested that a germanium - on - arsenic anti - site defect was the most possible defect which may be associated with the 5. 5 micron absorption, the result of analysis are agreement with the research of epr, so the calculates are accurate

    運用密度泛函理論計算，建立純砷化鍺鎘晶體的結構模型並對之進行結構優化，使理論模型更加接近真實結構，從而研究純砷化鍺鎘晶體的能帶結構和態密度、光學性質;分別建立砷空位模型（ vas - cdgeas2 ） ，鍺占砷位模型（ ge / as - cdgeas2 ） ，分別計算它們的能帶結構、態密度、光學性質。
  13. Computational simulation in nano size metal cluster in chapter 2, we use dft to calculate equilibrium geometries and electronic properties of cun ( n = 2 - 13 ) clusters and construct potential function with parameters fitted to potential energy surfaces, use a global minima " basin - hopping " algorithm to obtain minimum - energy structures of cu clusters for n = 13 ~ 410. the results show in good agreement with experiments and other calculations

    納米金屬團簇的計算模擬利用密度泛函方法對小cu簇（ n = 2 13 ）進行計算並構造了銅原子簇原子間相互作用多體勢，用全局優化模擬了中等和大的銅團簇的結構與穩定性，結果證實了銅團簇具有五次對稱性和幻數現象。
  14. In the article, the mechanism of temperature field has been researched and the math model of 3d unsteady temperature field is established according to analyze the cracking reason, produce mechanism of temperature crack, the specialty of crack in mass concrete. the thermal conduction equations are converted into extremum of functional analysis through calculas of variations

    本文通過對大體積混凝土裂縫的成因，溫度裂縫的產生機理，溫度裂縫的特點，研究了大體積混凝土溫度場機理，建立了數學模型，並用變分原理將三維瞬態溫度場的熱傳導方程問題轉化為泛函的極小值問題。
  15. 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。
  16. The polarized continuum model is used to simulate the influence of the solvent environment on the solute molecule. in the first place, the geometry optimization of pna molecule in each solvent is redo by using the polarized continuum model on the base of density functional theory

    首先，在密度泛函理論基礎上採用極化連續模型重新優化了pna分子在每種溶劑中的幾何結構，研究了不同溶劑對pna分子的幾何結構的影響。
  17. 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。
  18. 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。
  19. The vibrational modes of batio3 and pbtio3 in different crystalline phases have been investigated by means of density functional theory pseudopotential method

    採用密度泛函贗勢的方法，研究了不同晶相的鈦酸鉛和鈦酸鋇的振動模式。
  20. Besides, we show the method and result in the research of the heart rate variability. it is proved that the nonlinear analysis is much more effective in the clinical diagnoses of heart disease. by the end of this dissertation, we list some problems for our future works including chaos in discrete time ~ varying systems, srb measures of the chaotic map in the sense of marotto, complex dynamics of both h. h. model and cou - pled integrate - and - fire models, strange attractors in h6non systems with classical parameters

    在本文的第五章中，我們給出了一類一維時滯泛函微分方程穩定性的判別法，而這一方程本身可以用來刻畫連續的具有動態閾值的神經元模型；此外，我們介紹了非線性指標在心律變異中的具體應用與部分的分析結果，以進一步說明非線性分析在心律變異研究中的有效性和實用性
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