variational problem 中文意思是什麼

variational problem 解釋
變分問題
  • variational : 變化的
  • problem : n. 1. 問題,課題;疑難問題;令人困惑的情況。2. 【數、物】習題;作圖題。3. (象棋的)布局問題。adj. 1. 成問題的;難處理的。2. 關于社會問題的。
  1. First, we reformulate the kkt systems of the constrained optimization problem and the symmetric variational inequality prpoblem into equivalent nonsrnooth equations by using the so called ncp functions

    本文研究求解約束最優化問題和對稱變分不等式kkt系統的bfgs演算法。首先利用ncp函數將問題的kkt系統轉化為等價的非光滑方程組。
  2. On the basis of complet ' : ly analyses about dual - m ( ) de phase shiftcrs, the finite - element formulation derives the variational principle for non - se1fadjoint electromagnetic problems which is microwave propagaticn in a aniso1ropic media loaded waveguide. then, the variatonal problem is approximated by a matrix eigenvalue problem

    在此基礎上,詳細討論了利用有限元分析法這一強有力的工具來分析波導中填充各向異性介質的問題,導出了基於變分原理的泛函和有限元方程。
  3. Variational analysis on therm - elastical stresses of plane strain problem of thermal barrier coating structure in laser radiate

    激光輻照熱障塗層中平面應變問題的熱彈性變分分析
  4. However, in existing global newton ' s methods a linearized variational inequality subproblem has to be solved at each iteration, whose computational cost is equivalent with a qp problem, and the local fast convergence is usually established theoretically incompletely

    通過應用fiseher一burmeister非線性互補問題函數, h . qi和l . qi在17 ]中對以前的qp一free演算法做了有效的改進,使得迭代矩陣的一致非奇異性得到保證。
  5. The governing equations of the problem are derived in hamiltonian form by using variable substitution and variational principle. then the methods of separation of variables and conjugate symplectic eigenfunction expansion are developed to solve the equations of plate bending problem. the result can be derived by analytical method

    在平面彈性問題中,由變量代換及變分原理,方程可導向哈密頓體系,從而通過分離變量法及共軛辛本徵函數向量展開法,以解析的方法來進行求解。
  6. A new waveguide made of changing a wide wall of a rectangular waveguide to a uniform curved wall is called conformal waveguide. a kind of expression of approximate solution for domain mode of the new waveguide, including symmetric, unsymmetric arc, parabolic arch, hyperbolic arch, elliptic arch, etc., is constructed by using boundary condition of mental waveguide, variational method and boundary element method. by using the equivalence principle, an approximate calculating formula for equivalent resonant conductance of a narrow longitudinal halfwavelength slot cut in the curved wall of the unsymmetric arcrectangular waveguide is derived, and the result is shown. although this solution is approximate, it can solve the problem in designing the slotted antenna of such conformal waveguide

    把矩形波導一個寬面外突成均勻曲面構成的新波導統稱為共形波導.利用金屬波導邊界條件、變分法、邊界元素法構造這種新波導中主模場的一種近似解表達式,包括曲面橫截線為對稱、非對稱圓弧,拋物線弧,雙曲線弧,橢圓弧等.然後根據等效原理,推導非對稱圓弧矩形波導曲面上窄的縱向半波長縫隙的等效諧振電導的近似計算公式,給出計算曲線.這種解雖然是近似的,但卻能解決這類共形波導縫隙天線的工程設計
  7. 4. the algorithm solving an optimal control problem governed by a semilinear parabolic equation with the control in the coefficients and source term is studied. the strong variational method which presented by mayne to solve the optimal control of lump parameter system is developed to semilinear parabolic optimal control problem

    4 、把由mayne等所提出的用於求解集中參數系統最優控制的強變分法,推廣應用於一類控制變量含于高階導數項系數與源項中半線性拋物型系統最優控制之中。
  8. Especially, the overbinding of he and the disagreement of interaction of he and be appears in the calculation, which in the variational calculation for he and e. the theoretical result for be presents overbinding problem with the aa potential of single gassian shape which gives a very good fit to the experimental, while that of he is lower than the experimental value with the aa potential fitting the experimental moreover the introduction of the three - body ann potential does n ' t reduce the inconsistency of the interaction

    特別是在a , he超核計算中出現過緊束縛問題,並且在從6he和; be的變分計算中,若採用擬合he結合能實驗數據所得的( ? )高斯勢,則理論計算a ? be結合能呈現束縛過緊;反之,採用擬合發be結合能實驗數據的aa三高斯勢,計算he的結合能又偏小。
  9. The generalized variational inequality problem in banach spaces

    空間中集值映射的廣義變分不等式問題
  10. For instance, it can be applied in game theory, mathematical economics, optimization theory, variational inequalities, differential equations, fixed - point theory, potential theory, section problem, etc.

    譬如,它可應用於博弈論,數學經濟,最優化理論,變分不等式,微分方程,不動點理論,位勢論,截口問題等等。
  11. Along with the development of minimax theory, it had been applied in game theory, mathematical economics, optimization theory, variational inequalities, fixed - point theory, potential theory, section problem, etc

    隨著極大極小理論的發展,它已經應用於博弈論,數量經濟學,最優化理論,變分不等式,微分方程,不動點理論,位勢論,截面問題等諸多領域。
  12. This paper emphatically researched the problem how to calculate the intersection point between workpiece that rotated with variational angle velocity and milling cutter that moved with complicated track and rotated with high speed. furthermore it adopted the discrete curve surface method for every milling cutter, and treated image frame as the control parameter of position of milling cutter during the intersection calculation process, so the algorithm of intersection between workpiece and milling cutter was obtained. the paper also discussed further three - dimension graphic problem of manufacture process

    文中對做變角速度運動的工件和運動軌跡復雜的高速自轉中的銑刀求交問題進行了重點研究,採用將銑刀上的每個刀尖劃出的曲面離散化的方法,以圖像顯示的幀數作為求交計算過程的銑刀位置的控制參量,得出了銑刀與工件的求交演算法。
  13. Study of non - self - adjoint variational problem in low - frequency eddy current electromagnetic field

    低頻渦流電磁場非自伴變分問題的研究
  14. A class of singular nonlinear parabolic equations was considered, after linearing this equations, the corresponding variational problem was obtained, furthermore the existence and uniqueness of weak solution was proved

    摘要考慮一類奇異非線性拋物方程,通過對其右端線性化,得到一個與之相應的變分問題,進而證明其弱解的存在唯一性。
  15. Abstract : a method named multi - times optimization is presented to solve the multi - specification optimization problem, which is difficult to solve using the variational optimal theory. in the method several demands are reduced to some sub - tasks. in every subtask a demand that can not be transformed into bound condition is taken as performance specification for optimazation, and the other demands are taken as bound conditions. by means of the method, the arrival time, number of turn, turn angle of the aircraft in the terminal area are selected as performance specification separately, and the general character of optimal flight route in the terminal area is given

    文摘:為了給飛機提供一條能滿足多種指標要求的最優飛行軌跡,針對變分最優理論難以求解多指標優化問題,提出了命名為多次優化的方法,即將多要求的優化任務分成先後相繼的多次任務,每次任務中選取一種不能邊界轉化的要求作為最優性能指標,而其餘要求轉化為邊界條件.利用這一方法以時間、轉彎次數、轉彎角度為最優性能指標給出了終端區最優飛行軌跡的一般特徵
  16. It interprets image editing as a variational problem concerning the adaptive adjustments to the zero - and first - derivatives of the images which correspond to the color and gradient items

    模型將圖像編輯問題理解為同時考慮圖像的零階圖像的顏色和一階圖像的梯度變化的自適應調整問題。
  17. Complementary variational problem

    余變分問題
  18. As we know, fem is a method that transforms differential equations with boundary conditions into a variational problem, and then performs a numerical analysis to get the result. the thesis gives the realization of fem detailedly

    有限元是將微分方程轉化為變分問題后進行數值求解的數值方法,本文詳盡地給出了有限元的實現過程。
  19. The variational problem related to the coupled vector wave equations and boundary conditions of circular dielectric waveguide with arbitrary refractive index profile is solved using the finite element method ( fem )

    應用有限元方法求解了任意徑向非均勻折射率分佈圓柱對稱介質波導中縱向場耦合波動方程定解問題所對應的變分問題,該方法不受弱導或高斯模場分佈等限制。
  20. In this context a genetic algorithm ( ga ) was applied to the four - dimension ( 4 - d ) variational data assimilation, which provided a kind of new and effective method in the initial field optimization. the theoretical basis and detailed algorithm were introduced in this paper. at the same time, according to the property of the variational problem itself, we designed the rational genetic coding, operators and parameters

    本文將遺傳演算法應用於四維變分資料同化問題,提供了一種新的較為有效的nwp初始場優化方法,給出了相應的理論依據和詳細演算法,並結合變分問題本身的特點,設計了合理的遺傳編碼、遺傳操作和遺傳參數。
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