难以渐近(递归)函数(算法分析)(difficult asymptotic(recurrence) function (algorithm analysis))
我被困在这一个,我不知道如何解决它,无论我尝试我只是无法找到一种方式来玩这个功能,所以我可以用一种方式来表示它,让我可以找到ag (n),使得g(n)是T(n)∈Θ(g(n))
我遇到麻烦的功能是:
$
T(n)=4n^4T(\sqrt n) +(n^6lgn+3lg^7n)(2n^2lgn+lg^3n)
$另外,如果你可以 - 请你检查我是否在正确的道路上:
$
T(n)=T(n-1)+\frac{1}{n}+\frac{1}{n^2}
$解决它我尝试使用:$
T(n)-T(n-1)=\frac{1}{n}+\frac{1}{n^2}
$ iff $(T(n)-T(n-1))+(T(n-1)-T(n-2))+\ldots+(T(2)-T(1))=\frac{1}{n}+\frac{1}{n-1}+...+\frac{1}{n^2}+\frac{1}{\left(n-1\right)^2}+....
$ iff $(T(n)-T(n-1))+(T(n-1)-T(n-2))+\ldots+(T(2)-T(1))=T(n)=T(1)+\sum_{k=2}^n\frac{1}{n}+\sum_{k=2}^n\frac{1}{n^2}
$然后使用谐波级数公式。 但是我不知道如何继续并完成它并找到解决它的渐近边界我希望在第二个我正确的道路上。 但是我不知道如何解决第一个问题。 如果我犯了什么错误,请告诉我正确的方法,以便改善我的错误。
非常感谢您的帮助
对不起,由于某种原因,数学在这里显示不正确
i am stuck on this one and i don't know how to solve it, no matter what i try i just can't find a way to play with the function so i can represent it in a way that will allow me to find a g(n), so that g(n) is T(n)∈Θ(g(n))
the function i am having trouble with is:
$
T(n)=4n^4T(\sqrt n) +(n^6lgn+3lg^7n)(2n^2lgn+lg^3n)
$additionally, if you can - could you please check if i am on the right path with:
$
T(n)=T(n-1)+\frac{1}{n}+\frac{1}{n^2}
$to solve it i tried to use: $
T(n)-T(n-1)=\frac{1}{n}+\frac{1}{n^2}
$ iff $(T(n)-T(n-1))+(T(n-1)-T(n-2))+\ldots+(T(2)-T(1))=\frac{1}{n}+\frac{1}{n-1}+...+\frac{1}{n^2}+\frac{1}{\left(n-1\right)^2}+....
$ iff $(T(n)-T(n-1))+(T(n-1)-T(n-2))+\ldots+(T(2)-T(1))=T(n)=T(1)+\sum_{k=2}^n\frac{1}{n}+\sum_{k=2}^n\frac{1}{n^2}
$ and then using the harmonic series formula. however i don't know how to continue and finish it and find the asymptotic boundaries to solve iti hope that on the second i am on the right path. however i don't know how to solve the first one at all. if i've done any mistakes, please show me the right way so i can improve my mistakes.
thank you very much for your help
sorry that for some reason math doesn't show correctly here
原文:https://stackoverflow.com/questions/49990600
最满意答案
在第二行GetFileByServerRelativeUrl方法中,它需要文件的相对url,请查看下面的工作演示:
ClientContext context = new ClientContext(@"http://sp2016/sites/test"); Microsoft.SharePoint.Client.File file = context.Web.GetFileByServerRelativeUrl(@"/sites/test/Documents1/folder2/test.txt"); ListItem lstitem = file.ListItemAllFields; context.Load(lstitem); context.ExecuteQuery(); lstitem["Title"] = "Mercedes"; lstitem.Update(); context.ExecuteQuery();
In Line two GetFileByServerRelativeUrl method, it needs the file relative url, please check the working demo below:
ClientContext context = new ClientContext(@"http://sp2016/sites/test"); Microsoft.SharePoint.Client.File file = context.Web.GetFileByServerRelativeUrl(@"/sites/test/Documents1/folder2/test.txt"); ListItem lstitem = file.ListItemAllFields; context.Load(lstitem); context.ExecuteQuery(); lstitem["Title"] = "Mercedes"; lstitem.Update(); context.ExecuteQuery();
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