標量泛函 的英文怎麼說
中文拼音 [biāoliángfànhán]
標量泛函
英文
scalar-value functional-
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。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。Details are as follows : we deal with properties of bilevel linear programming and prove the equivalence of bilevel linear programming and optimization over the efficient set. a class of multi - objective tow level programming, i. e. the upper - level is single objective and the lower - level is linear multi - objective, is mainly discussed. it can be converted into the optimization over the efficient set with parameter and an algorithm is given with its finite termination being proved ; when the upper - level is linear function, an exact penalty function algorithm is given
分層（分級）遞階系統是社會組織管理的主要形式，多層規劃是研究這類系統優化問題的基本模型，其鮮明的實際背景和廣泛的應用前景引起了人們的廣泛關注，成為一個新興的活躍的研究領域，本論文研究了二層規劃中的若干問題，主要工作如下：討論了二層線性規劃的性質，並證明了它與零有效集上優化問題的等價性；對一類二層多目標規劃（上層為單目標規劃、下層為線性多目標規劃的問題）進行了探討，將其轉化為含參變量的有效集上的優化問題，進而給出了一種演算法，並證明了該演算法的有限終止性；當上層為線性單目標時，給出了一種罰函數方法The limiting distribution of test statistic under null hypothesis is proved to be the function of a standard brownian
在原假設下證明了統計量的極限分佈是標準brown運動的泛函。In connection with the researches carried out in our laboratory, the description is concentrated on the high accurate four - component relativistic density functional methods with relativistic effects taken into account strictly, and the two - component or scalar relativistic density functional methods with relativistic effects considered approximately, involving the zero - order regular approximation ( zora ) method and its improved variants, the singularity excluded approximate expansion ( seax ) method, and the jointed two component - scalar relativistic ( or non - relativistic ) approach applicable to the calculations of large systems locally containing heavy elements
結合本實驗室的研究工作，重點介紹嚴格處理相對論效應的四分量相對論密度泛函計算方法和近似處理相對論效應的兩分量和標量相對論密度泛函計算方法，包括零級規則展開近似（ zora ）方法及其改進和排除奇點的近似展開（ seax ）方法，以及適合處理局部包含重元素大體系的接合兩分量標量相對論（或非相對論）計算方法。The conclusion which, for a given non - extremal admissible control, another admissible control can be constructed such that the corresponding value of the objective functional decreases is proved, based on the result, an optimality condition is obtained and the strong variational method which solves optimal control problem is presented and the associated convergence result is proved also
證明了對任一非極值允許控制函數，均可構造另一允許控制函數，使最優控制問題相應的目標泛函值有一下降量。在此基礎上得到了最優控制問題最優性必要條件，並給出了求解該最優控制問題的強變分法及演算法的收斂性結果。Using lyapunov functional and linear matrix inequality ( lmi ) technique, and through the stability of subsystems decoupled in a single direction, we obtain an estimation formula of parameter ' s stability domain
再利用標量lyapnov泛函和線性矩陣不等式技術，由單向解耦子系統的穩定性得到線性時滯大系統和非線性大系統參數穩定域的估計公式。Where possible procedures and measurements used by existing national monitoring schemes are employed so that ecn provides an integrating function for the more extensive sectorial networks
在可能的情況下，應該應用現在國家或國際監控方案中的程序或測量標準，因而環境變化網路為更廣泛的區域網路提供綜合函數。分享友人