Is there such a thing as the set of "definable" numbers?
Definable real numbers
Multi-geometry shapefiles Since a shapefile can only contain a single geometry type (e.g. point, polygon, etc), how could I persist both?   If I must create a shapefile for each geometry type, how can I pass them to a colleague to load?  In kml I can just pass the single kml to load.  Is there a shapefile manifest equivalent that I am missing? The problem is, it seems when I enable a disabled module, the module's schema version in the system table is automatically updated to the latest version supplied by hook_update_N.  So my current module with the schema version -1 is modified to 7106 when I enable the module, and no hook_update_N functions are run.   So when I come to the next step of running database updates, no hook_update_N functions are run because the module thinks it's already the correct version.  The only method I can see is to manually set the module version in hook_enable, however I'll then need to update the module code to remove the hook_enable to make sure it doesn't run if the module is ever re-enabled in the future, so obviously this approach is a bit dirty.  I'm hoping there's a better solution? Intuitive idea of the Lipschitz function I'm trying to understand intuitively the notion of Lipschitz function.   I can't understand why bounded function doesn't imply Lipschitz function.   I need a counterexample or an intuitive idea to clarify my notion of Lipschitz function.  I need help  Thanks a lot Anti-Cheat for MMOs issues and solutions? Most online games suffer for this problem and there are some  out there to cover this but recently from what I've seen most companies are trying to avoid those programs creating their own system (blizzard with warden, aion with their own checking, etc...) but it is a very difficult case to prevent such ...  Just wanted to say i made another question topic as community wiki specific for posting applications and it is features and the ideas behind this question here is not to list those but instead to know more about what were your attempts, issues along the road and possible solutions, piece of codes if application and so forth.  What sort of protection do you guys use in order to (try to) prevent such acts:   Anti-cheat Software ? (please state which, why and possible problems you faced, for example aion stopped using GameGuard at beta stage due to a huge amount of compatibility problems and complains from their users) Your own code ? (what sort of verification do you usually run to make sure of the bad-faith players, for example speedhack, verify new location against speed+last location, etc...) None, i dont care ? (any personal reason or input you did like to share ?)   Any interesting piece of code related to the issue you would like to post ?  Feel free to rework my text my english inst that great  ?** Can noindex tags on several pages affect the overall SEO or ranking on Google? Some SEO Gurus assured me that noindex attributes are good to devalue the unimportant pages.   When I asked in the moz Q and A, they're quite sure that having noindex on the bulk of the articles on the website can harm overall SEO ranking.   Which is true? How to add shortcut keys for java code in eclipse I'm starting a Windows Forms application from the command promt and I need to get the exit codes that the windows forms application generates. The command promt starts the application and returns immediatly. But the application executes in the background. Is there a way to get the Exit codes?  Kind Regards  Christian. Considering an ideal case(neglecting drag of air, damping etc.), a pendulum follows SHM if the angular displacement is small (upto 10 degrees). But, for large angular displacement(more than 10 degree), it does not follow SHM. Why? What force cause the pendulum not to follow SHM? Travelling with two different passports I was just wondering if you have two passports (a Chinese one and an Australian one), and you booked your airline ticket with the Chinese one, will you have to show both of your passports or just one?  The thing is, on my Chinese passport, it has my birth name, but then when I became an Australian citizen, I legally removed my Chinese name and replaced it with my English name. So I don't know whether I should just show the passport officials the one that I booked the airline ticket with. How do you reset timers? I tried out the clock setting cheat on a throw-away vault but somehow it also messed up my real one so now they both have 3000+ hours on radio station and 70d+ on returning wastelanders..   Any way to reset all the timers to default?  For some reason my phone refuses to change time at all anymore.. SQL Server 2016 memory optimised table: Precreated files constantly growing I have a memory optimised table in SQL Server 2016, with file durability enabled. The table is only 100MB. SQL Server is constantly creating new files on disk, which start off at a few hundred MB, but then grow constantly until the drive runs out of space then they clear down and the process starts again. The files are growing at about 900MB an hour. Running the SQL below shows that all the space is in Precreated Data - so it's not even actually storing large amounts of data, just allocating space to use later.  SELECT state_desc, file_type_desc, COUNT(*) AS [count],    SUM(file_size_in_bytes) / 1024 / 1024 AS [on-disk size MB]    FROM sys.dm_db_xtp_checkpoint_files   GROUP BY state, state_desc, file_type, file_type_desc   ORDER BY state, file_type     File growth on the file group is set to unlimited, so I'm assuming I can set a value on this and stop it growing, but I can't find anything to say why it's allocating so much space in the first place. The data in the table does change very rapidly (a lot of inserts and deletes as the data is constantly processed, but it the data that isn't Precreated never gets over 4GB.  Is there a setting in SQL Server that controls this file precreation? Is it safe to set a limit on the autogrowth for the file group? Move Lifejacket and Lifeboat to Answer Badges section in Help Center The new blog post  mentions the new badges  and  are answer badges, but they are listed on the  under Question Badges:    Since you earn these primarily by posting an answer (you're not required to do anything about the question, though editing it will probably help), they definitely belong to the Answer Badges. Number of isosceles triangle. What is the meaning of “runneth” in ? Is there any way to call the parent version of an overridden method? (C# .NET) In the code below I tried in two ways to access the parent version of methodTwo, but the result was always 2. Is there any way to get the 1 result from a ChildClass instance without modifying these two classes?  class ParentClass {     public int methodOne()     {         return methodTwo();     }      virtual public int methodTwo()     {         return 1;     } }  class ChildClass : ParentClass {     override public int methodTwo()     {         return 2;     } }  class Program {     static void Main(string[] args)     {         var a = new ChildClass();         Console.WriteLine("a.methodOne(): " + a.methodOne());         Console.WriteLine("a.methodTwo(): " + a.methodTwo());         Console.WriteLine("((ParentClass)a).methodTwo(): "          + ((ParentClass)a).methodTwo());         Console.ReadLine();     } }   Update ChrisW posted this:     From outside the class, I don't know   any easy way; but, perhaps, I don't   know what happens if you try   reflection: use the Type.GetMethod   method to find the MethodInfo   associated with the method in the   ParentClass, and then call   MethodInfo.Invoke   That answer was deleted. I'm wondering if that hack could work, just for curiosity. When it comes to getting a tenure-track position where one has both a lot of resources and academic freedom to do what one wants to do (so having a tenure-track position in a top university might be more useful because one may get more resources at a top university).   Or in short, when one wants to maximize one's chances of becoming a "top scientist".  There are obviously numerous factors, and "rank/prestige" should not be considered as a factor in itself. That said, the period after one gets a PhD is an extremely important time for building up connections, and those are easier to get at a top university. What happens if my order exceeds the bid or ask sizes? What will happen if my order exceeds the bid or ask size? For example, if the bid or ask is 100 shares, but I want to buy 100,000 shares, is it possible to do so? Seatpost Overextension I've been riding with my very short seat post extended well past its maximum extension line for quite a while now. Looking at the seat post itself I don't see any signs of deformation or damage other than some very minor surface rust.   Could my bike frame have been damaged? Could the lever force have damaged the frame? I can post some pictures of the frame if needed. My bike is all aluminum. I am logging in to my Ubuntu Server using my username. Once I am logged in I am typing passwd command. Entering a new password but a second after getting following error messages:  passwd: Authentication token manipulation error passwd: password unchanged   What is wrong here? How can I change my password otherwise if I don't have access to that server physically, i.e. I am connecting remotely with ssh using terminal. Is energy content of a system different depending on the observer? For the sake of simplicity, let's imagine that the entire universe is empty except for a single lump of (classical) matter with mass $m$. In its center of momentum frame, it is clear that the total energy is simply $E_\text{CoM}=mc^2$. However, in a frame moving relative to it with speed $v$, we have $E_\text{moving}=\sqrt{m^2c^4+p^2c^2}&gt; mc^2$ for all nonzero $v$.  Are we to infer that the energy content of a system can be different relative to the observer? Does this not violate the first law of thermodynamics?