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security – What is the point of checking the overflow of the entries?

Almost everything is in the title.

Everyone knows this famous patch. But there is something that I can not understand, why check the overflow of the entries because it is not possible to have enough previous outputs for this type of case and, from the point of view of the attackers, this does not matter only diminish what he / she actually has.

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general topology – Product of Mrówka space and discrete space of compactification in one point.

I read an article and I have trouble understanding it. First of all, the definition required to understand the problem:

Let $ mathcal {U} subseteq {A subseteq omega: | A | = aleph_0 } $. We say that $ mathcal {U} $ is an almost disjoint family if for all $ A, B in mathcal {U} $ such as $ A neq B $ we have that $ | A cap B | < aleph_0 $

The proof I was reading is:

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The key element of the evidence is the fact that $ A $ is a closed subset of $ X times Y $. But I can not see that $ A $ is closed only by the construction of the topology of $ X times Y $. In fact, I think we need a lot of business to prove it because if we take $ (a, b) in (X times Y) setminus A $ then

$ b = d ^ {*} $.
$ a = r_ alpha $ and $ b = d_ beta $ with $ alpha neq beta $. Here probably we have two sub-cases because $ alpha < beta $ or $ beta < alpha $.
$ a in omega $ and $ b = d_ alpha $ for some people $ alpha < mathfrak {c} $
$ a in omega $ and $ b = d ^ * $.

Are they all cases? Or do I forget it? I do not know if my thoughts are correct. Can you help me complete the proof? I really appreciate any help you can provide me.

2013 – Uses a tool called "Symantec Backup Exec / Veritas Backup Exec", a good way to back up the share point application servers and its databases

I am currently reviewing our backup policy for SharePoint SharePoint 2013 and 2016 server farms in which our IT administrators have indicated that they back up all Microsoft applications such as exchnage, sharepoint, SQL server, and so on. with the help of a tool named "Symantec Backup Exec / Veritas Backup". Exec "now, in our case, we have these 2 farms for 2 customers: –

Windows 2008 R2 server acting as sharepoint 2013 application server + another Windows 2008 R2 containing databases.
Windows Server 2012 R2 serving as sharepoint 2016 application server + another Windows 2008 R2 containing databases.

Can any one therefore advise if using "Symantec Backup Exec / Veritas Backup Exec" is a supported tool for backing up SharePoint application servers? and their databases? and do these types of backups support disaster recovery scenarios? for example, in case the entire sharepoint application server crashes? or the entire database server hangs? or both?

Now, for SharePoint site backups, I already do daily backups for site collections using this "Backup-SPSite …." command, this backup allows me to restore some site collections if we performed a configuration incorrect or an incorrect critical update. data .. but backup using "Backup-SPSite" does not cover disaster recovery scenarios, because we can only restore site collections from the same farm that have the same patches and updates up to date and do not cover the backup of managed services. Can anyone therefore give advice if the "Symantec Backup Exec" and "Veritas Backup Exec" tools are supported for backing up SharePoint application servers? and their databases? to cover disaster recovery scenarios?

Product point vectors

Any one could it please spot the error I made in this question:

Q: A theme park has two zip lines. Sarah models both zip lines as straight lines using coordinates in meters. The ends of a wire are located at (0,0,0) and (0,100, -20). The ends of the other wire are at (10,0,20) and (-10,100, -5). Use Sarah's model to find the shortest distance between ziplines:

L1: r = s (100d-20k)

L2: (10i + 20k) + t (-20i + 100d – 25k)

Let P be a general point on line L1 and Q a general point on line L2:

Then: p = (100sj-20sk) and q = (10-20t) i + (100t) j + (20-25t) k

Vector PQ = q – p = ((10-20t) i + (100t) j + (20 – 25t) k) – (100sj – 20sk) = (10-20t) i + (100t – 100s) j + (20 – 25t + 20s) k

If the vector PQ is perpendicular to the two lines, then:
((10-20t) i + (100t – 100s) + (20 – 25t + 20s) k). (100d – 20k) = 0

10000t – 10000s – 400 + 500t – 40s = 0
10500t – 10040s = 400

((10-20t) i + (100t – 100s) + (20 – 25t + 20s) k). (-20i + 100d – 25k) = 0

-200 + 400t + 10000t – 10000s – 500 + 625t – 500s = 0

11025t – 10500s = 700

Is it correct? Simultaneous resolution gives t = 404/63 and s = 20/3. By linking this to the PQ vector and making it length, we get a response of 121.15 … when I'm pretty sure the answer is 50/3.

Github pages create a repository and point to my own domain?

It might be difficult for me to describe this, so in the beginning I will say: my ultimate goal is to point the github pages to my own domain example.com – example.com WITHOUT subfolder / path.
At the moment, I am learning and testing. The first method: in the github documentation, I see that I should create a repository? and the URL of my website will be "myusername.github.io/myrepository"? But the second method: I followed a tutorial on youtube, when creating a repository, I typed "myusername.github.io" instead of "myrepository", and I had a website " myusername.github.io ", WITHOUT subfolder / path. Is the second method correct? And, in the future, can I run this site (by a second method) to a .com domain? I am new to all this, appreciate any answer.

Yet we are not sure to the point that Brain c 13

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list manipulation – Calculation of the ascending point

How to calculate the increasing point between the sum of the total points of increase and the first point.

For example, I have the first number of 1000 and I have 37 points until the last one.
The sum of all points should be 107300.

So I have to know what number I have to add to each growing point.

Example:

1st increasing point: 1000 + 100 = 1100
2nd increasing point: 1100 + 100 = 1200
...
37th point of increase: = 4600 + 100 = 4700

I need to know how to calculate this increasing number 100 because I only know that the sum of all points is 107300 and the first point is 1000.

Sorry if bad explanation or english 🙂

Aggressive geometry – Non-buildable conditions on fibers that pass from the generic point to a non-empty opening

Let $ f: X rightarrow Y $ to be a flat morphism of schemas, with a locally irreducible Noetherian target. Call a condition on the fibers of $ f $ "good" if the condition is true in the generic point of $ Y $ if it is valid on an open non-empty set. What are some geometrically interesting examples of "good" non-buildable conditions on fibers?