formulation of equation 中文意思是什麼

formulation of equation 解釋
立出方程
  • formulation : 編制
  • of : OF ＝Old French 古法語。
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. In chapter 2, a schrodinger formulation for paraxial light beam propagation of the real and comprehensive refractive indexes is represented. the equation for the atom laser beam wave - function is also given by a schrodinger equation, which is similar to the equation of the time - dependent system. therefore, it is possible to investigate the propagation of an atom laser beam

    第二章：本章介紹了傍軸光束在實數折射率介質和復數折射率介質中傳輸的schrdinger形式理論，同時指出由於原子激光的傳輸滿足schrdinger方程，與含時量子系統的傳輸方程類似，故利用含時量子系統的schrdinger形式理論來研究原子激光的傳輸是可行的。
  2. The equation for the quasi - continuous atom laser beam wave - function is given by schrodinger equation, the beam width, divergence curvature radius and quality factor were introduced to represent the atom laser beam whose transverse potential could be separated. for the conservative quality factor system in some direction, we can ge t the propagator of abcd formulation

    本文在含時量子系統傳播子的abcd形式理論的基礎上，引入某一方向的束寬、發散角、曲率半徑和品質因子等光束傳輸參數來表徵橫向勢能滿足x和y分量相互獨立的原子激光的傳輸。
  3. The numerical algorithm of solving the adjoint equations for different design cases have been developed by using finite volume methodology which is usually used to solve the flow governed equation. it includes the some important aspects, such as flux formulation, wall and far - field boundary treatment methodology, dissipative term formulation, etc. after the solution of the adjoint equations is obtained, the derivatives of the cost function with respect to all the design variables can be evaluated with the same operation. this can yields a significant saving over the other gradient - based techniques when there are many design variables

    （ 3 ）進行了應用控制理論和三維歐拉方程的機翼氣動反設計研究，以及有升力約束情形下機翼跨音速減阻問題研究，分別推導了相應的共軛方程及邊界條件數學表達形式，研究與發展了三維共軛方程的有限體積數值求解方法，及相應梯度公式的數值求解方法，通過對計算網格生成、流場計算、共軛方程數值求解、梯度求解和優化演算法等多方面的有效結合，成功發展了三維機翼的氣動反設計和跨音速減阻優化設計程序，成功地進行了多個設計算例研究。
  4. In the tidal estuary, the current is complex, and the flow is oscillatory. some experiential formulation has presented to calculate the vertical turbulent mixing coefficient. on the base of analysis of the hydrodynamic in the estuary, the theoretical equation, which describes the distribution of the space and time of vertical turbulent exchange coefficient, has developed, the equation has applied to the practice

    潮汐河口水流呈往復振蕩運動，本文在分析潮汐河口水動力特性基礎上，考慮了慣性力及重力等項的影響，通過理論推導得到潮汐河口垂向紊動交換系數的空間分佈及時間分佈的計算公式，以及垂向平均紊動交換系數的時間分佈的計算公式，並將其應用於潮汐河口的實際計算中。
  5. The formulation for the flow model is given using the finite element / control volume ( fe / cv ) technique based on darcy ' s law of creeping flow through a porous media. the heat transfer model is based on the two - dimensional, transient heat conduction equation, including heat generation. the cure kinetics model is based on kamal ' s model, and the degree of the resin cure as a function of temperature and time

    樹脂流動階段的模擬是根據牛頓流體在多孔介質中的滲流理論，應用darcy定律並使用有限元/控制體技術建立起來的；熱傳遞模型是一個二維瞬態熱傳導方程，考慮樹脂反應放熱；樹脂的固化模型利用了kamal提出的固化動力學方程，將固化度取為時間和溫度的函數。
  6. In this paper, we expand eigenvalue of poisson equation using bilinear element, by the formulation of the error expanition, we can conclude that it is a upper bound. and by two numerical example, we computer the approximate eigenvalue of poisson equation in square and l - shape domains, then we analyses the approximate eigenvalue. we also extraplate the error expansion and enhance the accuracy of the eigenvalue form the second order to the forth order

    本論文對poisson方程的特徵值採用雙線性元進行展開，得到了誤差展開式，通過誤差展開式，我們能得到特徵值是上界。通過數值算例，計算方形與l形區域上的poisson方程的近似特徵值，並對數據進行分析，驗證了理論的正確性，然後通過對誤差展開式外推，收斂級數可以從二階提高到四階，得到了高精度的解。
  7. First of all, the nonlinear equation of structure is presented in this paper based on virtual work principle. it is thought that the updated lagrangian formulation ( u. l. formulation ) is more adapt for nonlinear analysis computer program for arch bridge

    首先，本文基於虛功原理，推導了結構幾何非線性方程，指出更新的拉格朗日列士法（ u . l列士）更適用於橋梁結構非線性分析程序的編制。
  8. The program of data processing in determination of percent released of pharmaceutical preparation was developed ; two modules included in this program are connected but independence each other, one module calculate percent released, one module regress equation ; determination of percent released of pharmaceutical preparation, comparison of released curve in one reference frame and modeling mathematics model were realized by running this program. the program of formulation optimization based on artificial neural network was compiled to solve the nonlinear problem in formulation optimization. provided parameters were used to predict the released amount of a set of formulations

    簡便，其計算結果與現有其他程序計算結果基本一致：開發固體制劑體外溶出試驗數據處理程序，程序運行時分為計算累積釋放百分率和優選最佳數學模型兩個相互連接又各自獨立的環節，實現了累積釋放百分率的自動計算，同一坐標系下釋放曲線的直觀比較，常用數學模型的擬合；開發基於人工神經網路的處方優化系統，解訣處方優化這一多目標、非線性優化問題，利用符合擬合精度的訓練結果預測給定處方的釋放度，預測結果與實驗結果基本相近。
  9. In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples

    第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。
  10. According to the definition of stream function and vorticity, this article theoretically derives a formulation of definite solution problems for resolving two dimensional flow, which is different from the usual formulation, from the stream function - vorticity n - s equation

    摘要從定常二維平面流動的流函數渦量型n - s方程出發，從理論上推導出一種不同於通常提法的二維平面流動的定解提法。
  11. The paper uses a high order method to solve incompressible viscous complex flows based on a domain decomposition and matched method, the primitive variable and pressure poisson equation formulation are employed for the numerical solutions of the incompressible navier - stokes equations, in tensor forms, on non - staggered grids

    本文採用了一種基於分塊耦合求解粘性不可壓縮復雜流場的高精度計算方法。計算模塊採用原始變量和壓力poisson方程方法，差分方程為張量形式的粘性不可壓縮navier - stokes方程組在非交錯網格上離散。
  12. Study on formulation and application of fatigue equation for lean concrete

    貧混凝土疲勞方程的建立及其應用研究
  13. We expand the eigenvalue of possion equation using wilson nonconforming element. by the formulation of the error expanition, we can not conclude whether it is a upper bound or a lowr bound. but we guess it is a lower bound, and by two numerical example, we find thatwe are right. we also extraplate the error expansion and enhance the accuracy of the eigenvalue from second order to third order

    通過數值算例，計算方行與l行區域上的poisson方程的近似特徵值，並對數據進行分析，驗證了我們的推測是正確的，然後通過對誤差展開式外推，收斂階數可以從二階提高到三階，得到了高精度的解。
  14. According to the rate of increase form of the equation of the income, money supply rate of increase which as monetary policy intermediate objective mainly is decided by the economic growth rate, rate of price rises and rate of change of speed of the monetary velocity. therefore, through the study on monetary velocity, we can analyze the actual effect of the monetary policy more deeply, and play a certain reference arriving role to the formulation and implementation of the monetary policy

    根據收入方程式的增長率形式，作為貨幣政策中間目標的貨幣供應量增長率，主要取決于經濟增長率、物價上漲率和貨幣流通速度變化率。因而，通過對貨幣流通速度的研究，能夠更加深入地分析貨幣政策的實際效果，並對貨幣政策的制定和實施起到一定的參考作用。
  15. Using the formulized approach to the su ( 1, 1 ) h ( 4 ) time - dependent system, which is derived from the combination of the formulation of the time - dependent bogoliubov transformation and the evolution equation of the system, we obtain the time evolution operator, state function and heisenberg uncertainty relation of the parametric oscillator with cavity losses under the weak coupling approximation. we also discuss the squeezing property of the system

    本文利用含時波戈留波夫變換與時間演化方程相結合得到的求解su （ 1 ， 1 ） ? h （ 4 ）量子系統的時間演化算符和演化態的普遍公式，我們導出了帶腔損耗的參數振子在弱耦合近似下的演化算符，態函數和不確定乘積，並討論了系統的壓縮特性。
  16. In this article, we consider the methods for solving nonlinear complementarity problems from two aspects : one is the equivalent formulation of minimization, the other is the equivalence formulation of equation. to the former, we give a new derivative - free descent algorithm based on constrained minimization formulation. to the later, we construct a new homotopy equation and give its algorithm

    在本篇論文中，我們從兩個方面考慮非線性互補問題的解決方法，一個是利用原始問題的極小化等價變形，給出了求解約束極小化問題的derivative - free下降演算法；另一個是利用方程形式等價變形，構造了新的同倫方程並給出了相應的演算法。
  17. Some basic methods about the slot ' s electromagnetic scattering are studied and analyzed in this thesis. these methods include the quasi - static approximation formulation applied in 2 - d infinite long slot, the 2 - d slot scattering analysis based on integral equation and the method of moments, a physical basis formulation for a finite - length trough, and a quasi - static approximation combined with travel wave ' s scattering calculated scattering from a 3 - d crack. through many examples, these methods " characteristics are discussed

    本文通過不同的模型研究分析了縫隙電磁散射的多種基本演算法，包括二維無限長窄縫的準靜態公式、基於積分方程和矩量法的二維縫隙的散射分析、有限長直縫散射計算的物理基公式及準靜態近似結合行波散射計算三維縫隙的散射等，並通過算例，討論了這些演算法的特點。
  18. Important missing aspects are : turbulent flow, numerical discretization techniques specially the relevant and difficult topic of numerical treatment of advection and related numerical methods of solution, variable property fluids, boundary layers, stability, etc. rather, it focuses on more primitive and fundamental issues of numerical treatment of advective equation and proper formulation of initial boundary value ( ib vp ). numerical problems associated with advective dominated transport include spurious oscillation, numerical dispersion, peak clipping, and grid oriention. however, the key of numerical solution of three - dimensional advective problem is searching for a high - precision interpolating function, which can keep the computational stability and low damping

    3 、針對三維純對流方程提出了實用的擬協調單元模式，並與線性插值模式和協調單元模式比較后表明，在物理量大梯度變化的情況下，線性插值模式會產生較大的數值阻尼，導致解的失真；協調單元模式具有極高的計算精度和良好的計算穩定性，還可較好地克服數值阻尼，但由於計及物理量的二階導數項，計算工作量大，邊界條件給定尚存在一定的困難；而擬協調單元模式不僅具有協調單元模式計算精度高的優點，還避免了物理量的二階導數項，可大大地減少計算工作量。
  19. In chapter 3, we discuss the method for solving nonlinear complementarity problems with the equivalent formulation of equation

    第三章，我們考慮了利用原始問題方程形式的等價變形，來解決非線性互補問題的方法。
  20. Finally the paper emphatically introduces the mlfma ( multilevel fast multipole algorithm ). based on hybrid field integral equation the formulation of computation for the electromagnetic scattering of three - dimensional object is derivated. then the optimization of invariant terms and the expression of every child cube is analyzed during the electromagnetic scattering calculation when using the mlfma

    文章最後引入多層快速多極子法，從混合場的積分方程出發，推導出多層快速多極子法計算三維物體電磁散射的公式，分析了多層快速多極子法計算三維物體電磁散射過程中不變項計算的優化和編程時每個小立方體的表示方法。
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