exponential solution 中文意思是什麼

exponential solution 解釋
指數解
  • exponential : adj 指數的，冪的。 exponential curve 指數曲線。 exponential function 指數函數。 exponential sum ...
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  1. In this dissertation, we firstly prove that any dirichlet problem is indeed equal to a voltages problem of networks. we give five solutions to dirichlet problem in two dimensions ; among these five solutions, we prove that the iteration solution and the solution of relaxations are exponential convergence, then we estimate their respective convergence rates ; secondly, we discuss random walks on general networks, prove that there is an one to one correspondence between networks and reversible ergodic markov chains ; thirdly, we give probabilistic interpretation of voltages for general networks : when a unit voltage is applied between a and b, making va = 1 and vb = 0, the voltage vx at any point x represents the probability that a walker starting from x will return to a before reaching b ; furthermore, we study the relationship between effective resistance and escape probability : starting at a, the probability that the walk reaches b before returning to a is the ratio of the effective conductance and the total conductance

    本文證明了任何邊值的dirichlet問題都可轉化為求解電路電壓的問題：給出了計算平面格點上dirichlet問題的5種方法：證明了迭代法和松馳法都是指數收斂的，並分別給出收斂速度的估計；討論了一般電路上的隨機徘徊，驗證了電路與可逆的遍歷markov鏈是一一對應的；給出了電路電壓的概率解釋：當把1伏電壓加於a ， b兩端，使得v _ a = 1 ， v _ b = 0時，則x點的電壓v _ x表示對應的markov鏈中，從x出發，到達b之前到達a的概率；進一步地，給出了逃離概率與有效電阻之間的關系：從a出發，在到達b之前到達a的概率為有效傳導率與通過a的總傳導率之比。
  2. The second section : under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of camassa - holm equations with dissipative. by using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth s olution, global attractor in h ~ ( 2 ), t ime p eriodic s olution or almost - periodic solution and the global exponential stability are proved

    第二部分：在非線性控制邊界條件之下，對于帶耗散項的camassa ? holm方程的初邊值問題，用壓縮映射不動點原理及先驗估計方法，證明了整體光滑解的存在性、整體解的指數穩定性、 h ~ 2空間中整體吸引子的存在性以及時間周期解和殆時間周期解的存在性。
  3. We first show that the solution operator s ( t ) is lipschitz continuous, then prove the discrete solution operator s _ ( * ) = 5 ( t _ ( * ) ) satisfy the squeezing property, finally, we get the existence of the exponential attractor m. whose fractal dimensionality is finite

    第四章，研究ginzburg - landau方程在三維空間的指數吸引子的存在性。首先證明解運算元s （ t ）是lipschitz連續的，然後證明離散解運算元s _ * = s （ t _ * ）滿足擠壓性，從而得到指數吸引子m的存在性。
  4. This dissertation investigates both existence of traveling wave solutions for delayed reaction diffusion systems and lattice differential equations, and global attractor of spatially discretized fitzhugh - nagumo equations with dirichlet or neumann boundary conditions. for delayed reaction diffusion systems, the existence of traveling wavefronts in diffusive and coorperative system with time delays is provided, firstly ; the monotone iteration scheme, together with upper - lower solution technique, is applied to establish the existence of traveling wavefronts of delayed reaction diffusion systems with some zero diffusive coefficients. secondly, schauder fixed point theorem is applied to some operators to prove the existence of traveling wave solutions in a properly subset equipped with exponential decay norm, which is obtained from a pair of upper and lower solutions for delayed reaction diffusion systems with non - quasimonotoiiicity

    對于時滯反應擴散方程，我們先利用吳建宏和鄒幸福[ j . dynam . diff . eqns2001 （ 3 ） ]中的主要定理來研究時滯競爭擴散lotka - volterra系統波前解的存在性，給出了這個定理在非線性項滿足弱擬單調條件（ qm * ）時在系統情況中的應用；並利用單調迭代方法和上、下解技術，對于具有部分零擴散系數的時滯反應擴散方程建立波前解的存在性定理，對于具有部分零擴散系數的時滯反應擴散方程建立波前解的存在性定理。
  5. Simple genetic algorithm gets local minimization too easily and converges slowly. to solve these problems, adaptive crossover rate that has reverse hyperbolic rel ation with the numbers of iteration is designed, and adaptive mutation rate that has reverse proportion to the distances of parents and reverse exponential relat ion to the numbers of iteration is put forward. the practical simulation results show that the adaptive ga has greater convergence speed and larger probability o f getting the best solution

    簡單遺傳演算法存在著收斂速度慢、易陷入局部極小等缺陷.針對這些缺陷，本文設計出隨相對遺傳代數呈雙曲線下降的自適應交換率，並提出與父串間的相對歐氏距離成反比、隨相對遺傳代數指數下降的自適應變異率.實例驗證表明，具有自適應交換率和變異率的遺傳演算法在收斂速度和獲得全局最優解的概率兩個方面都有很大的提高
  6. Firstly, the equilibrium solution is global asymptotic stability and exponential stability on l2 [ 0, l ] under neumann and dirichlet boundary control conditions, control inputs for choosing the boundary control is bounded in lx, the equilibrium solutions decay to zero and integrating the solution square in [ 0, 1 ], it decays to zero exponentially, by using nonlinear boundary control conditions and input feedback control method

    首先，採用非線性邊界條件輸入反饋控制方法，研究得到該類方程在neumann和dirichlet邊界控制條件下的平衡解在l _ 2 [ 0 ， 1 ]上是全局漸近穩定和指數穩定的、在所選邊界控制下控制輸入是l _有界的、平衡解隨時間衰減到零以及平衡解的平方在[ 0 ， 1 ]上的積分按指數方式衰減到零。
  7. Based on priestley ' s evolutionary spectrum theory, an evolutionary process modulated by decline composite exponential function, is investigated as one kind of non - stationary excitation commonly encountered in engineering, the analytical solution of the response properties is gained due to proper simplification

    基於priestley的演變譜密度理論，對于工程中常用到的衰減指數函數調制的演變過程激勵，可以通過對結構響應的合理簡化，得到響應特徵的解析形式。
  8. 3 elastic exponential progression solution which is widely recognized by the field of civil engineering are applied to analysis of the pcc pile under lateral load, and the results are compared with that of finite elment method. accordingly, the validation of program is once more proved

    3 、應用樁身撓曲彈性微分方程冪級數解析法對本文中的pcc樁算例進行了分析，並將分析計算結果與有限元計算結果進行了對比，進一步驗證了本文有限元數值演算法運用於pcc樁水平承載計算的正確性和有效性。
  9. The solution of system has different properties when the exponential satisfied different conditions

    由此得到，當反應項和擴散項的指數滿足不同條件時，方程組的解具有不同的性質。
  10. The optimized parameters of high - frequency in bacillus thuringiensis plasmid - free mutant bmb171 by electroporation was studied. it showed that a highest electro - transformation frequency could be obtained, when sg solution was used as the buffer, and a 10. 0 kv / cm of field strength, one time of pulse as well as a growth phase of recipient cells at the exponential phase ( od650nm value was 0. 2 - 0. 3 ) were selected

    對用電脈沖法轉化蘇雲金芽胞桿菌受體菌bmb171優化條件的研究結果表明，採用sg溶液作電脈沖緩沖液，用10 . 0kv cm的脈沖場強和1次電脈沖（ 4 . 6ms ） ，以及採用對數前期（ od _ （ 650 ）約0 . 2 0 . 3 ）收獲的受體菌，可以達到最高轉化頻率。
  11. In section 3, 4, 5, we respectively prove the existence and uniqueness of equilibrium, periodic solution and almost periodic solution and the global exponential stability

    第三部分為周期解的存在唯一性及全局指數穩定性。第四部分為平衡點的存在唯一性及全局指數穩定性。
  12. In this paper, based on the method of variable replacement, real parameters di > 0 ( i = 1, 2, . ., n ) which can be adjusted, are introduced ingeniously. we establish some new sufficient conditions for the existence, uniqueness and global exponential stability of the equilibrium, periodic solution and almost periodic solution of neural networks with time - varying delays by means of the method of variation of parameters, fixed point theorem and some analysis techniques

    本文巧妙地引入可調實參數d _ i 0 （ i = 1 ， 2 ， … ， n ） ，藉助常數變易法、變量替換、不動點定理和一些分析技巧，對具可變時滯的神經網路的平衡點、周期解、概周期解的存在性和全局指數穩定性建立了一些新的充分條件。
  13. Nowadays, the pcc pile have been widely used for soft ground improvement and application of foundation engineering. the behavior of pcc pile, that subjected to lateral load has been studied in this paper. the behavior of the pcc pile has involved moment and horizontal displacement and load of pcc pile. they are studied by in the physical model experimen, field test finite element numerical analysis, and exponential progression solution. in additional, the comparatively computal analysis are carried out among pcc pile, cast - in - situ concrete circular pile, prefabricate concrete square pile, and obtain some signification conclusion

    本文主要圍繞現澆混凝土薄壁管樁（以下簡稱pcc樁）這一新型的樁基結構型式的水平承載性狀展開研究，通過室內模型試驗、現場試驗、有限元數值模擬分析試驗及彈性冪級數解析法分析等手段，對pcc樁水平承載的樁身受力性狀，樁身撓曲位移，樁身彎距分佈，樁與樁周土相互作用的地基反力等幾方面進行了初步的探討和研究，最後將pcc樁與目前工程中的兩種常用於承受水平荷載的樁型進行對比計算分析，得到有意義的結論。
  14. A criterion for generalized exponential dichotomy and existence of bounded solution

    廣義指數型二分性一個判別法和有界解存在性
  15. This method can guarantee the solution matrix of sylvester equation to be inverse and the sum of the input gain norm and the observer gain norm is the minimum. for the linear systems with unknown parameters, we identify the parameters using hopfield network, then design the observers using the identified parameters, the exponential convergence of adaptive observer is also proved. for the linear time - varying systems, a new network to solve the time - varying sylvester equation is proposed, we analysis it ' s convergence and robustness, then, deign the linear time - varying observer using this network model, and we discuss the convergence of the observer and ruboustness to unknown match parameters

    同時保證了sylvester方程的解矩陣的可逆性和觀測器的增益矩陣與輸入矩陣范數的和最小；在設計線性時不變自適應觀測器時，首先利用系統的輸入、輸出數據設計一個hopfield網路參數估計器，進一步設計狀態觀測器，證明了參數估計器和狀態觀測器的指數收斂性；為了仍然從神經優化計算的角度設計線性時變系統的狀態觀測器，最後介紹了一種求解時變sylvester矩陣方程的神經網路模型，分析了它的收斂性和魯棒性，然後利用該網路設計時變狀態觀測器，進一步討論該觀測器的在系統存在未建模不確定和外部噪聲時的魯棒性；最後給出了一種基於分離性原理和hopfield網路觀測器的狀態反饋閉環系統的結構，分析了該閉環系統的特點；對于每一種設計方法都給出了相應的數值模擬例子來進一步表明所提方法的可行性和有效性。
分享友人
分享到 Line

分享到臉書