Exercise of symmetric matrices
Prove that $A^TD-C^TB=I$
Splitting file based on size, but make sure that it ends with newline In Minecraft, the NBT (Named Binary Tag) format is used to store data of our Minecraft worlds, including block, entity, and item properties. In the Java Edition of Minecraft, you can modify this data by including the data in the command, like so: /give @s diamond_sword{Enchantments:[{id:&quot;minecraft:knockback&quot;,lvl:10s}]}  In the Bedrock Edition, on the other hand, NBT is inaccessible from commands. In order to modify NBT, we need to use an external editor. What are some useful item properties that I can modify with an NBT editor, and how can I do so?  Related: Why are the objects in my hair particle system not sitting on top of the ground? I made a hair particle system and set the Dupli Group to a group of 3 objects. Each of the 3 objects has:   it's origin set to be touching the XY plane (on layer 2) it's Scale applied to 1 and it's Rotation applied to 0     I am trying to get each of the objects to sit directly on top of the ground, but instead, they are centered in the plane, half above the plane and half below the plane:      What am I doing wrong? Here is . Is there any data in Tolkien (books/letters/etc..) to explain why there were precisely 9 Men rings and 7 Dwarf rings and 3 Elf rings? (the latter assumes that Sauron planned the number of Elvish rings to be 3 before he was thwarted by Elves making the rings themselves)  Was it because of the amount of tribes/kings he needed to deal with? Some magical/power limitations? Magical properties of numbers 9 and 7 (ala 7 Horcruxes)? A whim of Sauron's?    UPDATE: Looks like 3 and 7 are explained in the answers (3 elf lords and supposedly 7 Dwarf houses, though nobody provided canon proof).  What was NOT explained was why there were 9 Man rings?    If 9 was a meaningful amount, why? If it was merely "19-7-3" leftover, then why were there 19 total non-One rings made? How to determine which lightdm greeter is in use? What’s the rule for using “who” and “whom” correctly? I can never figure out whether I should use who and whom. Most people use who for both colloquially, but some people say this is not correct.  What’s the rule for using who and whom correctly? Many companies offer index funds and ETFs. If two funds or ETFs track the same fund, what differentiates the two? Is it common for one index fund to outperform another? How can this happen if the funds/ETFs are tracking the same index?  I found . When forced to choose between them, index ETFs look like the better option (under the right circumstances), but what differentiates index funds/ETFs when compared to similar vehicles? Why split the  tag when writing it with document.write()? Why does kworker cpu usage get so high? I recently installed Ubuntu 12.04 on my Samsung laptop alongside Windows 7. Whenever I use Ubuntu (even when its idle) kworker uses almost 90% of one of 8-cores. Even though it doesn't really affect my usage, it bugs me and I am afraid of that it might harm my processor. I even tried installing another Linux distro (Linux Mint), and kworker caused the same problem. So I don't know what to do. I would really appreciate your  help. Why are there two Address lines in Address forms? Experience and a quick Google Images search suggests that it's standard to provide two fields for Address/Street. A colleague argues that it's perceived as two alternative addresses, and that the fact that there's only one country, state, zip, phone just makes it more confusing. I tried to think of a good explanation for having two fields but couldn't. To the reason of "there are some very long addresses" he replies "then why don't they use a multiline input field which would make it clearer that it's the same address".  So, what's the reason? And is it only standard for the US or for Europe as well? Importing users that will be installed by programs Is it possible to plot a graph of any shape? extended stars-and-bars problem(where the upper limit of the variable is bounded) The problem of counting the solutions $(a_1,a_2,\ldots,a_n)$ with integer $a_i\geq0$ for $i\in\{1,2,\ldots,n\}$ such that $$a_1+a_2+a_3+....a_n=N$$ can be solved with a stars-and-bars argument. What is the solution if one adds the constraint that $a_i\leq r_i$ for certain integers $r_1,\ldots,r_n$?  e.g. for $n=3$, $N=6$ and $(r_1,r_2,r_3)=(3,3,2)$, the tuple $(a_1,a_2,a_3)=(2,3,1)$ is a solution, but $(2,1,3)$ is not a solution because $a_3=3&gt;2=r_3$. How Triangle Law and Parallelogram law of addition of Vectors are different?Ain't they.  Please don't tell me the things written in book......give me the appropriate reason.And how do i distinguish between the two while adding vectors,what am i trying to say is i get really confused where to use parallelogram law and where triangle law  P.s:my basics are really weak though!May be the question might not be right Uniform random variable as sum of two random variables Taken from :  Show that it cannot be the case that $U=X+Y$ where $U$ is uniformly distributed on [0,1] and $X$ and $Y$ are independent and identically distributed. You should not assume that X and Y are continuous variables.  A simple proof by contradiction suffices for the case where $X$, $Y$ are assumed discrete by arguing that it always possible to find a $u$ and $u'$ such that $P(U\leq u+u') \geq P(U\leq u)$ while $P(X+Y \leq u) = P(X+Y \leq u+u')$.  However this proof does not extend to $X,Y$ being absolutely continuous or singular continuous. Hints/Comments/Critique? Nginx: Forward all Subdomains My code doesn't work with second level tld's like domain.co.uk Here is my conf:   # add www.   if ($host ~ ^(?!www)) {    rewrite ^/(.*)$ http://www.$host/$1 permanent;   }    # remove subdomain   if ($host ~ &quot;^www\.(.*)\.(.*\.([a-z]{2,4}|[a-z]{2}\.[a-z]{2}))&quot;) {    set $host_without_sub $2;    rewrite ^/(.*)$ http://www.$host_without_sub/$1 permanent;   } Allow me to get notifications for new Meta posts, like mods do I'm currently helping out on . One of the most valuable things on new beta sites, especially private/early public betas, is Meta participation - see :  Treat Meta Questions Like Gold It’s not unusual for your meta site to receive significantly less traffic than the main site. The problems begin when you meta starts to get ignored by the community and ignored by the moderators. It is particularly disturbing when users reach out in meta and starts talking about improving the site or asking for help… only to be ignored; No follow-up, only deafening silence  Because of this, Diamond mods get a notification in their inbox for each new question on their Meta, helping ensure that each meta post is addressed. However, wouldn't it be great if Diamond mods weren't the only ones that could do this? The post does say that the community needs to be seeing these questions too. As an involved user, I would really like to be notified of these new questions - it would increase the good I could do the site. How about this?:  Of course, it would be opt-in, not opt-out, and per-site. A feature like this would greatly improve the good that enthusiastic site-builders can do for the site, and would, most likely, increase the overall chances of a site's success. More numbers between $[0,1]$ or $[1,\infty)$? Not able to understand the meaning of question? car moving with a speed of 40 km / h can be stopped by applying brakes after at least 2 m. If the same car is moving with a speed of 80 km / h, what is the minimum stopping distance  Does this mean that after 2 m, You will apply brakes and then it stops. What is the retardation value  with which you are brakes.I am not understand the meaning of the values. I would like to render an animation as a series of .png images with transparent backgrounds for use in a video. Is this possible?