邊鏈電路 的英文怎麼說
中文拼音 [biānliàndiànlù]
邊鏈電路
英文
saide chain- 邊 : 邊Ⅰ名詞1 （幾何圖形上夾成角的直線或圍成多邊形的線段） side; section 2 （邊緣） edge; margin; oute...
- 鏈 : Ⅰ名詞1. （鏈子） chain Ⅱ動詞（用鏈栓住） chain; enchain Ⅲ量詞（計量海洋上距離的長度單位） cable length
- 電 : Ⅰ名詞1 （有電荷存在和電荷變化的現象） electricity 2 （電報） telegram; cable Ⅱ動詞1 （觸電） give...
- 路 : 1 （道路） road; way; path 2 （路程） journey; distance 3 （途徑; 門路） way; means 4 （條理） se...
- 邊鏈 : side chain
- 電路 : [訊] circuit （ckt）; electric circuit; electrocircuit電路板 circuit board; 電路保持 guard of a c...
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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。
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