百科问答小站 logo
百科问答小站 font logo



请问这个多重积分的极限怎么求? 第1页

  

user avatar   a-tuan-14 网友的相关建议: 
      

Let's take into account the generalized condition.

Let , is a continuous function, then, for any fixed , there holds

Proof:

Assuming a set of continuous random variables which are mutually independent follow an uniform distribution on the interval Owing to is continued for , therefore are also reciprocally independent random variables sequence for any fixed positive integer

Thus

Next, we will get the following formula via the Khinchin's law of large numbers

Hence

After that, according to the Lebesgue's Dominated Convergence Theorem, we have

Whereupon, we finally obtain

As for this question, let , we instantly get




  

相关话题

  为什么房价的涨幅不可能长期超过“GDP涨幅+通货膨胀”? 
  数学上积分结果的本质是什么? 
  如何通俗地解释泰勒公式? 
  最速降线为什么处处可导,有没有什么直观的解释? 
  有没有什么可以让自己对数学感兴趣的书? 
  下图问题如何解? 
  格林公式为什么不对称啊? 
  为何可以用不动点法求数列通项公式,可不可以解释一下? 
  如何确定下面三角恒等式中的系数? 
  请问 这道微积分题怎么做? 

前一个讨论
《老子》(《道德经》)和《庄子》哪部作品对中华文明的影响更大?
下一个讨论
如何证明(x^y+y^x)(1/x+1/y)≥4?





© 2025-05-30 - tinynew.org. All Rights Reserved.
© 2025-05-30 - tinynew.org. 保留所有权利