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(wèn)題都可轉(zhuǎn)化為求解電路電壓的問(wèn)題：給出了計(jì)算平面格點(diǎn)上dirichlet問(wèn)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(jì)；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?duì)應(yīng)的；給出了電路電壓的概率解釋?zhuān)寒?dāng)把1伏電壓加于a，b兩端，使得v_a=1，v_b=0時(shí)，則x點(diǎn)的電壓v_x表示對(duì)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(guò)a的總傳導(dǎo)率之比。
2. It's difficult to find probabilistic interpretation in a sentence. 用probabilistic interpretation造句挺難的