In the following problem, you are given three pieces of information. Use them to answer the question.   $GCF(a,b)= 13\cdot 7$ $LCM(a,b) = 13^2 \cdot 7^3 \cdot 41$ $b=13^2 \cdot 7 \cdot 41$ $a \in \mathbb{N}$      What is $a$ ?
Given: $\operatorname{gcf}(x,36)=9$ and $\operatorname{lcm}(x,36)=108$. Find $x$.   p.s I tried $54$ but although the $\operatorname{lcm}$ of $54$ and $36$ is $108$ the GCF is $18$ and it has to be $9$. Help me please.
Dragging files into blender Is it possible for moderators to review more than the daily limited count? TikZ Adding Text I'm a recent convert to TikZ from xy-pic, and am still trying to get a hang for it. I see that one can add labels to the end of arrows and the like using \node. Is there a way to add an arbitrary piece of text at a given position in the text, regardless of whether there is a shape there, a line there, or nothing at all? Thanks very much for your insight. Destroying a spammer does not delete their comments Does constant charging harm my Android cellphone? I usually disconnect my cellphone from the charger some time after it's fully charged because I'm afraid the battery could lose capacity over time if I don't. However, I believe modern electronics should be able to handle this kind of scenario and automatically stop charging the battery once it's full. Does this apply to modern Android phones? Or do I need to continue disconnecting it all the time? mkfs on raw software raid device or partition I am making a huge RAID10 device (8 TB) for storage on CentOS. I have created the 4 partitions on my 4 physical hard disks and have created the raid device /dev/md2 out of those 4 partitions.  Now it's time to put a filesystem on it. I am wondering whether I should do just:  mkfs.ext4 /dev/md2   which totally works (I tried it), or I should first create a single partition on that device (with fdisk, gdisk or parted?), that takes up all the space, and then do the mkfs stuff on that partition.  Googling the Web, I found another person asking the very same question here:  but, although a responder said:      Partitions go on the array members.   Filesystem goes on the array.   they didn't give him a definitive, non-ambiguous answer or an explanation when one approach should be preferred over the other. New "[tag:" syntax interferes with Markdown links Links in [link text][number] format don't work properly if they follow a tag using the new [tag:tagName] format. Here's the result of [tag:python] [gold badge page][1]:      [gold badge page]   Putting the tag inside the link is worse. Here's the result of [[meta-tag:bug] some text][2], where [2] is google.com:        The part of the link outside the tag just disappears silently.  EDIT: To be more precise, the entire link to [2] disappears. The markup that is produced contains (invalid) nested anchor tags, as shown here from Firefox's "View Source":  &lt;a href="http://google.com" rel="nofollow"&gt;&lt;a href="/questions/tagged/bug" class="post-tag required-tag" title="show questions tagged 'bug'" rel="tag"&gt;bug&lt;/a&gt; some text&lt;/a&gt;   So the tag is still a link, but it is a link to the tag page, which is the behavior it would have if the link to [2] didn't exist at all. The user's desired behavior in this case is... ambiguous, to be charitable.  EDIT 2: I briefly included markup from Firebug here, but it turned out to be irrelevant. It has now been removed to improve readability. See  if you're interested. Casting a Somatic, non-Material spell while holding a focus In  a side issue came up of whether you can cast a spell with Somatic components but no Material components while holding a focus in the hand used for Somatic components.  My reading of the rules sees "A spellcaster must have a hand free to access a spell's material components--or to hold a spellcasting focus--but it can be the same hand that he or she uses to perform somatic components." - it doesn't say you have to be holding the focus for the purpose of avoiding materials.  However, @Adeptus and @enkryptor argue that - since that rule is in the section on Material components - you don't consult it in for spells without Material, and fall back to the Somatic rule "the caster must have free use of at least one hand".  (I also appeal to the logic of fluff - why should it be harder to cast a spell with fewer components?)  Is there an official RAW or Word Of God on this matter? Can you cast a material-less, somatic spell while holding a focus in your only free hand? How to disable GNOME keyring? I want to disable GNOME keyring globally on my machine. So I deleted the lines  auth    optional        pam_gnome_keyring.so session optional        pam_gnome_keyring.so auto_start   in /etc/pam.d/gdm. It seems to me that this has no effect. When I lock in the syslog writes  Aug 24 18:37:03 foobar gnome-screensaver-dialog: gkr-pam: unlocked login keyring   and another user sees a menu window where he hs to enter his credentials. So what is the correct way to disable keyring for every user on that machine? Six simple tips to get Stack Overflow reputation fast I am revising for an exam and have just realised that the euclidean algorithm questions in past exams are much harder than in homeworks! So i need some help please.  I have a question here, i already have the solution to it but i dont understand it that well, so i would like someone to please explain what is going on ect, and dont worry about avoiding giving me the full solution as i already have it so a full solution would be good!  Here is the question:  Use euclids Algorithm to find $gcd(172,20)$.  Hence solve $172a + 20b = 1000$ giving all solutions in terms of parameter t. List any solutions for which $a,b&gt;0$.  So it wants the answers in terms of parameter t, which is something i am not familiar with and cannot find in my books.   I have the solution in the solutions paper as   $$172= 8\times20+12 $$ $$20=1\times 12 + 8$$ $$12=1 \times 8 +4$$ $$8=2\times 4+0$$  thus $gcd(172,20)=4$  then   $$4= 12-8=12-(20-12)=2\times 12 - 20$$  $$=2\times(172-8\times20)-20$$  $$=2 \times 172 -17 \times20$$   multiplying by 250 we get   $$1000=500 \times 172 -4250 \times 20$$  so one solution is $a=500, b=-4250$  So, I understand everything up until here!!  Now it says,  Generally, $$a=500-t \frac{20}{4}=500-t$$            $$b=-4250+t \frac{172}{4}=-4250+43t$$  To have $a,b&gt;0$, we need $$500-5t&gt;0, (100&gt;t)$$ to have $a&gt;b$ we need $$-4250+43t&gt;0,(t&gt;98.8)$$$  Need $t=99$, $a=5$, $b=7$  Could someone please help explain what is going on in this last bit of working out? I am pretty good at euclidean algorithm usually but havent seen this type before an am panicking  bit as so close to exam! Any help appreciated how to find t and the other positive solutions would be great!  Please could you show me exactly how it is done here as my lecturer is quite strict with us using his exact methods. Many thanks Making crafted items usable in adventure mode In a map I'm making the player has to survive while locked in a maze. To stop them from breaking out, they will be in adventure mode. However, I still want them to be able to craft items and use them with specified blocks. I have tried several methods already but they all have a flaw.  One method is to have a scoreboard objective called item and giving certain item entities a specific score using something like:  /scoreboard players set @e[type=Item] item 1 {Item:{id:"minecraft:sapling"}}   Then it is possible to select these items with:  /entitydata @e[type=Item,score_item=1,score_item_min=1] {Item:{tag:{CanPlaceOn:["dirt"],HideFlags:24}}}   This works but it requires the item to be dropped, which isn't a problem for saplings, but for tools and other craftable items, it becomes a hassle.  To fix this, I'm currently clearing tools without damage and giving the player a slightly damaged tool in return:  /clear @a minecraft:stone_axe 0 1   /give @a minecraft:stone_axe 1 1 {CanDestroy:["log","log2","leaves","leaves2"],HideFlags:24}   This doesn't work for items without damage values (e.g. torches), but I don't mind these having to be dropped as there aren't too many of these. However, there is another problem. In the nether, the player will have access to an enchantment table and an anvil. This means they can repair enchanted tools, which will cause them to be cleared and replaced with unenchanted ones as soon as they go back to the overworld.  I also thought about using a stat.craftItem scoreboard objective and giving them the usable item if they craft it. However, this would result in the player having a duplicate of every item they crafted, as I think it is impossible to select an item without NBT-data in the /clear command.  Is there any way to make this work? And if not, would it be better to have the player drop all crafted items or have duplicates of them all? Whenever I try to cut out a circular hole in either a cylinder or sphere the polygons around the circular hole always have distorted normals after smoothing. Is there anyway to fix this. I've tried using the remesh modifier but wind up with some pretty ugly results. Clerical mistake in UK visa application: should I make a pen-and-ink correction or electronically edit the PDF? I've gone through all similar questions but I believe my specific question doesn't have an answer yet.  I've applied for a Standard Visitor visa. After I completed the application, made an appointment and paid the fee, I noticed that the way I spelled my name on the application differs from how it is spelled in the passport by 1 letter (this is partially because of myself being an idiot, but mainly because my new passport has an incorrect transliteration of my name, whereas my old passport and any other document in my life has the correct one).  So here are the options I see:   Print the application and make a pen-and-ink correction with a black ballpoint pen by crossing the printed name/letter and writing the correct one - as answers to other similar questions suggests. Edit the PDF electronically and print it so that there are no visible corrections. However, as the form is saved at their end, there will be a discrepance between the printed form and saved form with no visible signs of correction.   Which way has better chance for me to have my application accepted?  Also (probably doesn't matter much but still): if it's the pen-and-ink correction, is it better to cross-out the whole name or only the wrong letter? Desktop link to Eclipse When should I use a fixed or variable time step? Help to do something or help do something? I wrote:      I will help you to acquire Russian.    A native English speaker corrected me saying that 'to' is unnecessary here. Is it correct to say      "I will help you acquire Russian" When I use the listings package with frame in my code the frame "breaks" when the page ends and it is open in the end of the page. I want the frame to be complete with four sides and continue in the next page again with all four frame sides complete. How can I do this? Why does the frame "breaks"? How to create Unity indicators? I'm interested in Unity indicators and wonder if there is any tutorial on how to program them. I can use the sources of the existing ones as last resort, but I'd prefer a more friendly approach because my programming skills are quite limited. Should Stack Exchange have a spam filter? (Does it already and I’m not aware?) Of course spam posts should be flagged, and if they come up in review, rejected.  Over on Mi Yodeya during the past 24 hours I’ve helped delete and reject four spam posts through the review queue, and I can only imagine that others were posted over the course of the night. To clarify, I’m referring to edits and answers that were about 99.274% words that I don’t think any decent person would use in everyday discussions, even if someone got them really angry.   Thing is, if the only thing we can do as a community is delete his posts/reject his edits, and as moderators to ban his account, can’t he just create a new account? Further, some of these posts . Maybe the mods can ban his IP address? I’m not one, so I have no idea what kind of power they wield in that respect. But he can always just get a new computer.   I don’t have the numbers to see what this is like on other sites, but I know this doesn’t happen often on Mi Yodeya. I wonder, then, whether this is the optimal solution, or whether an automatic spam filter be put into place - say, a new review queue that automatically deletes posts or rejects edits that can then be voted on whether to be reposted if it’s a false alarm. Perhaps it can be automatically triggered by certain keywords (like ****, %$#^, or @$+^).   Now, all of these posts that I voted to delete/reject came up in Suggested Edits and First Posts. Maybe such edits would show up in Low Quality in general, and that just wasn’t the case here because of precedence rules. I don’t know. But perhaps the above would be a better solution, if this is even as big of a problem as I’m making it out to be.