7 – reference field option limit “changing the explanation”

Hello I am using the reference field option limit module in D7 and I want to change the explanation text that says : No options are available for the current form values ..and I want to put instead: please select a value below. I tried hook form alter but the new phrase is appearing even when there is an option selected in the matching field, which is not what I want. So any idea which hook function should I use?
Ps: I don’t want to change that from the module core.

lo.logic – What is the strength of the second-order statement ‘an uncountable closed set in $mathbb{R}$ has a limit point’?

Perhaps surprisingly, we work in the language of second-order arithmetic. I was wondering if the strength of the following statement LP was known:

An uncountable closed set in $mathbb{R}$ has a limit point.

For reference, the perfect set theorem (equivalent to ATR$_0$) implies LP, while LP implies ACA$_0$ (using Specker sequences). Hence we have

ATR$_0 rightarrow$ LP $rightarrow$ ACA$_0$.

Do any of these reverse?

real analysis – Proving the limit exists when point tends to the cluster point of a set

Let c be a cluster point of A $subset mathbb{R}$ and $f: A rightarrow mathbb{R}$ be a function. Suppose that for every sequence in {$x_{n}$} in A, such that $lim x_{n} = c$, the sequence ${f(x_{n})}_{0}^{infty}$ is Cauchy. Prove that $lim _{xrightarrow c}f(x)$ exists.

I did not know how to approach this question, but I found a skeleton answer here:

Why do I need to show uniqueness?

I still don’t understand how we show that the limit exists though.

SharePoint 5000 List View Threshold Limit Issue in CSOM

I have an issue with Sharepoint CSOM when I am trying to get subfolder with the following code

public void LoadFolders(Folder folder, SharePointFolder sharePointFolder)
{
  Context.Load(folder.Folders);
  Context.ExecuteQuery();

  foreach (var subFolder in folder.Folders)
  {
    var subRootFolder = new SharePointFolder(sharePointFolder, subFolder);
    sharePointFolder.SubFolders.Add(subRootFolder);
  }
}

I get the error below when trying to load subfolders of a folder that has an itemCount of more than 5000.

Microsoft.SharePoint.Client.ServerException
  HResult=0x80131500
  Message=The attempted operation is prohibited because it exceeds the list view threshold enforced by the administrator.
  Source=Microsoft.SharePoint.Client.Runtime
  StackTrace:
   at Microsoft.SharePoint.Client.ClientRequest.ProcessResponseStream(Stream responseStream)
   at Microsoft.SharePoint.Client.ClientRequest.ProcessResponse()
   at Microsoft.SharePoint.Client.ClientRequest.ExecuteQueryToServer(ChunkStringBuilder sb)
   at Microsoft.SharePoint.Client.ClientContext.ExecuteQuery()
   at ..SharePointApi.SharepointSdkAccessMethod.LoadFolders(Folder folder, SharePointFolder sharePointFolder) in ....SharePointApiSharepointSdkAccessMethod.cs:line 435
   at ..SharePoint.ViewModels.SharePointFoldersViewModel.<>c__DisplayClass30_0.<GetFolderAsync>b__0() in ....ViewModelsSharePointFoldersViewModel.cs:line 183
   at System.Threading.Tasks.Task.InnerInvoke()
   at System.Threading.Tasks.Task.Execute()

Is there a way to resolve this issue or a CamlQuery that can give the same result as my function above?

probability – Showing that $S_n/n$ converge in probablity to a limit.

I have been struggling with the practice problem below for the past week. Could you help me how to solve this?

$X_1,X_2, cdots$ are sequence of independent random variables. $X_1=0$, and for $ngeq 2, P(X_n=0)=1-frac{1}{ntextrm{ln}(n)}, P(X_n=n)=P(X_n=-n)=frac{1}{2ntextrm{ln}(n)}$. We also define $S_n=X_1+cdots+X_n$.

Then,

  1. Does $S_n/n$ converge in probability to a limit?
  2. Does $S_n/n$ converge almost surely to a limit?

How can I solve this?

Thank you,

dnd 5e – Is there a limit on the number of Proficiency Swaps as part of Customizing Your Origin in Tasha’s?

The optional rule from Tasha’s states:

You can replace each of those proficiencies with a different one of your choice, following the restrictions on the Proficiency Swaps table.

The is no limit imposed except that the rule itself is an optional rule (as stated at the start of the Character Options section) and therefore the DM may impose a limit to the number of swaps a player/character can make.

Why Facebook About section’s description shows characters limit error when I did not exceed the limit?

I am trying to add a description to a Facebook page’s About section. But it displays an error

Description (436 characters) exceeds the 255 character limit because of the special characters added. Please correct and try again.

while I only wrote less than 255 characters. I am writing the description in Arabic. I do not know what it means with special characters. There is only commas and dots plus the Arabic letters. Here is the part that was accepted, شركة الهيثم, شركة متخصصة فى انتاج البرمجيات, تستخدم قواعد بيانات شركة اوراكل العالمية فى بناء جميع انظمتها. توفر وسيلة سهلة, مرنة ودقيقة
And that’s the completion of it that was not accepted, للتسجيل البيانات الهامة والاطلاع على التقارير والاحصائيات التى توضح الوضع المالى للنشاط قيد الممارسة.

pam – Ubuntu Vsftpd with active directory ldap but limit the authentication to the FTP service and not the system itself

I’m using SSSD and Pam along with realm to have my active directory users be able to access vsftpd server. The problem is, that the users can access the Ubuntu server itself as well, using the same credentials.
Is there any way to separate the two? Grant access to the AD users only against the FTP service and not the whole system?
I have been researching this for awhile, but coming up empty. Any help on this, would be highly appreciated guys.
Thanks

iptables – Limit IP connection for specific port in forward traffic

I have a server on which I have done port forwarding. This means that each user connects to the server with a dedicated port and the traffic sent by the user is directed to the remote server. I used the following command to do the forward port and it works well

iptables -t nat -A PREROUTING -p tcp --dport 8090 -j DNAT --to-destination remote_ip:8090

iptables -t nat -A POSTROUTING -j MASQUERADE
To further monitor and control traffic consumption on my server, I want to set a limit for each port. That is, each user connects to the server with 2 IPs. If there is more than 2 IPs, the user will be disconnected. I do this to prevent abuse. I try these codes :

iptables -A FORWARD -p tcp --syn --dport 8090 -m connlimit --connlimit-above 2 -j DROP

Then I connected to the server with two different IPs at the same time, i was expecting the IP limit to work and one of my connections to be disconnected but both IPs were connected and this command did not work. Is it possible to set the IP limit for forwarding trafic in iptables?

Is the way to overcome the sales amount limit on eBay by setting it as auction with a low starting bid?

I haven’t used eBay for a few days and I just got some electronics items to sell on eBay for about $1999. But if I list one as Buy it Now, and then listing a second one is immediately disallowed, because there is a limit of sales amount of $2801 per month.

So then it will be quite bad, because to sell the items 1 month or 2 months later, it won’t be worth $1999 any more but perhaps worth $1699.

Is one method to overcome this by listing them as auction that starts with $1 or $200? Can this overcome the limitation and sell them all around $1999 or hopefully $1899, but it will run the risk of having the final bid at $1599, and end up losing money if the cost basis is actually about $1650?