例句與造句

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(zhuǎn)化為求解電路電壓的問題：給出了計算平面格點(diǎn)上dirichlet問題的5種方法：證明了迭代法和松馳法都是指數(shù)收斂的，并分別給出收斂速度的估計；討論了一般電路上的隨機(jī)徘徊，驗(yàn)證了電路與可逆的遍歷markov鏈?zhǔn)且灰粚?yīng)的；給出了電路電壓的概率解釋：當(dāng)把1伏電壓加于a ， b兩端，使得v _ a = 1 ， v _ b = 0時，則x點(diǎn)的電壓v _ x表示對應(yīng)的markov鏈中，從x出發(fā)，到達(dá)b之前到達(dá)a的概率；進(jìn)一步地，給出了逃離概率與有效電阻之間的關(guān)系：從a出發(fā)，在到達(dá)b之前到達(dá)a的概率為有效傳導(dǎo)率與通過a的總傳導(dǎo)率之比。
2. It's difficult to find unit voltage in a sentence. 用unit voltage造句挺難的