JPA composite primary key
Mapping ManyToMany with composite Primary key and Annotation:
why don't we define vector multiplication component-wise? I was just wondering why we don't ever define multiplication of vectors as individual component multiplication.  That is, why doesn't anybody ever define $\langle a_1,b_1 \rangle \cdot \langle a_2,b_2 \rangle$ to be $\langle a_1a_2, b_1b_2 \rangle$?  Is the resulting vector just not geometrically interesting? General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$ In my grammar book (English Grammar, HarperCollins Publishers), I read that none is occasionally treated as plural, but it is usually regarded as singular. Can you give me an example of sentence where none is used as plural pronoun? What does increased caster level affect? I am relatively fresh to the DI party and am struggling to get my head around how exactly to use Dependency Injection. I understand that I can pass requirements as part of a service, but what about in my own class?  Say I have the below class where I want the language manager service to be injected:  class Foo implements ContainerInjectionInterface {    protected $languageManager;     public function __construct(LanguageManagerInterface $languageManager) {     $this-&gt;languageManager = $languageManager;   }    public static function create(ContainerInterface $container) {     return new static(       $container-&gt;get('language_manager')     );   } }   When I call new Foo() I am required to pass an instance of LanguageManagerInterface. That makes sense in terms of a normal constructor method, but that would require me to instantiate the class like the below:  $languageManager = \Drupal::service('language_manager'); $foo = new Foo($languageManager)   That just doesn't feel right to me.  Is there something I am missing, or would this class always have to be a service to take advantage of dependency injection? Least upper bound not an element in the cut In his proof "Any bounded nonempty subset $\mathbb{R}$ has a least upper bound in $\mathbb{R}$", Enderton showed that the least upper bound is just $\bigcup A$. Since by definition $x\subseteq \bigcup A\quad \&amp; \quad x\in A$ . In the case $x=\bigcup A\quad \&amp; \quad x\in A$, $x$ becomes the largest element in $A$, but this cannot be true since the Dedekind Cut is a subset of $\mathbb{Q}$ that must have no largest element. How do you explain that? Portrait for phone, landscape for Tablet (Android-Layout) Visas to travel the world I understand that you have to have visas to enter some countries, but I was wondering whether you have to pay for each visa separately or you can get a visa to go everywhere. You see videos and lists on what you should pack to travel the world, but no lists on the documentation needed. How do I duplicate a whole line in Emacs? I installed Redhat 6 x86_64. I am using the Network connection screen to set a static IP address like below (I want two PC's in my house to see each other: one Redhat PC and one Mac)   192.168.0.5   255.255.255.0   192.168.0.1     When I run ifconfig it displays only lo and virbr0 information. I don't know what these items are (I don't really know much about network settings).   When I try ifconfig -a it displays eth0, lo, sit0 and virbr0. The information for  eth0 is as follows:   Link encap : Ethernet HWaddr 90:2B:34:74:05:30 BROADCAST MULTICAST MTU:1500 Metric:1 RX packets:192 errors:0 dropped:0 overruns:0 frame:0 TX packets:6 errors:0 dropped:0 overruns:0 frame:0 collisions:0 txqueuelen:1000 RX bytes 53811 (52.5 KiB) TX bytes:468 (468.0 b) Interrupt:29 Base address:0xc000   Could someone help me to point out if anything wrong with my setting or how to resolve this problem? I know that the finite sum of Bernoulli i.i.d. random variables is a binomial distribution, but what is the distribution of $$\lim_{n \to \infty}\sum_{k=1}^{n} \frac{x_k}{2^k}$$ where $x_k$ is a Bernoulli random variable with parameter $\frac12$? Was Stack Exchange named after Experts Exchange? Was Stack Exchange named after Experts Exchange, or is the former using the word "Exchange" a coincidence? I am trying get an unused server up and running, it booted fine but i was greeted with the login window and none of the known passwords seem to work. The server I am trying to get to work is not a Domain Controller and has not been used in a long time.  OS: Windows 2003 Server R2 Enterprise Edition  I tried Ophcrack XP (there is no WinServer version of Ophcrack) - it couldn't locate the partitions with hashes. I tried mounting the partitions myself (#mount /dev/hda*x* /mnt/ntfs), but it gave me an error saying /dev/hda*x* didn't exist.  Next I tried booting into a Ubuntu 10.04.3 LiveCD so that I could install and use chntpw - no go, Ubuntu Live wouldn't boot.  Based on what I've read up the following tools may be of help:   Windows Password recovery Petter Nordahl-Hagen's Offline NT Password &amp; Registry Editor Openwall's John the Ripper EBCD – Emergency Boot CD - Bootable CD (R)ecovery (I)s (P)ossible Linux rescue system   I am hoping that someone here has prior experience with Win2k3 Administrator password resets so that I don't end up having to try all of the above to find out which one works. Multiple Sub Query using child parent relationship Consider in my basket, I have a package (Main Product-just a holder) which will have 2 standalone products (child) and again the standalone products will have child products (Grand Parent). All these products are from same object called Product Configuration.   We have a child relationship to itself(Parent Configuration) using a custom lookup field. The problem here is, I could only fetch details only up to 1 level (i.e.,package and child details) and I was not able to drill deeper to grand child products.  Query I used to get 1 level of relation ships is below:  SELECT id, name, Access_Type__c, Circuit_Bandwidth_Value__c, QuoteType__c,     Upstream_Speed_Value__c, IP_Address_Type__c, Care_Level__c, Base_Plan_Value__c, Site_Address__c,      cscfga__Quantity__c, Quantity_of_Ip_Address__c, cscfga__Contract_Term__c, Connection_Price__c,      Monthly_Rental_Conga__c, Total_Annual_Rental__c,      (         SELECT id, name,cscfga__Product_Family__c,Upstream_Speed_Value__c, cscfga__Quantity__c, Quantity_of_Ip_Address__c,              Connection_Price__c, Monthly_Rental_Conga__c,cscfga__Parent_Configuration__r.Circuit_Bandwidth_Value__c,Circuit_Bandwidth_Value__c          FROM cscfga__Related_Configurations__r         WHERE cscfga__Parent_Configuration__c &lt;&gt; ''          ORDER BY name     )  FROM cscfga__Product_Configuration__c  WHERE cscfga__Product_Basket__r.cscfga__Opportunity__c='{pv0}'      AND cscfga__Product_Basket__r.csordtelcoa__Synchronised_with_Opportunity__c=True     AND cscfga__Parent_Configuration__c = ''  ORDER BY name   Not sure how to write another sub query to get grand child details. When I tried the below query:  SELECT id, name, Access_Type__c, Circuit_Bandwidth_Value__c, QuoteType__c, Upstream_Speed_Value__c,      IP_Address_Type__c, Care_Level__c, Base_Plan_Value__c, Site_Address__c, cscfga__Quantity__c,      Quantity_of_Ip_Address__c, cscfga__Contract_Term__c, Connection_Price__c,      Monthly_Rental_Conga__c, Total_Annual_Rental__c,     (         SELECT id, name, cscfga__Product_Family__c, Upstream_Speed_Value__c, cscfga__Quantity__c,              Quantity_of_Ip_Address__c, Connection_Price__c, Monthly_Rental_Conga__c, cscfga__Parent_Configuration__r.Circuit_Bandwidth_Value__c, Circuit_Bandwidth_Value__c,         FROM cscfga__Related_Configurations__r         WHERE cscfga__Parent_Configuration__c &lt;&gt; ''          ORDER BY name     ),     (         SELECT id, name, cscfga__Product_Family__c          FROM cscfga__Related_Configurations__r         WHERE cscfga__Parent_Configuration__c &lt;&gt; ''          ORDER BY name     ) FROM cscfga__Product_Configuration__c  WHERE cscfga__Product_Basket__r.cscfga__Opportunity__c='0066E000002Xrr0'      AND cscfga__Product_Basket__r.csordtelcoa__Synchronised_with_Opportunity__c=True      AND cscfga__Parent_Configuration__c = ''  ORDER BY name   I got below error:     MALFORMED_QUERY:  from cscfga__Related_Configurations__r ^ ERROR at   Row:6:Column:6 Cannot follow the same aggregate relationship twice:   cscfga__Related_Configurations__r   Can someone please help here. Note: I am executing these queries in Workbench. zsh scripting - How do I NOT match a pattern in filename generation? I'm currently trying to loop through a set of directories, but only the ones I care about.   $ ls -d */ cfdpost_statefiles/     p050L0260/  p050L0510/  p060L0390/  p070L0260/  p070L0510/  p092L0390/  p097L0260/  p110L0390/  p131L0325/  p150L0510/  profiles/ ERCOFTAC_TestSettings/  p050L0390/  p060L0260/  p060L0510/  p070L0390/  p084L0510/  p094L0325/  p100L0510/  p125L0510/  p136L0260/  p162L0260/  settings/   I want to match all the p###* directories except for the ones beginning with p125 and p150.  If I just do patterns with a pipe, I get:  $ for dir in ./p(125|150)*(/); echo $dir ./p125L0510 ./p150L0510   However, if I try and use the ^ like it shows :  $ for dir in ./p^(125|150)*(/); echo $dir zsh: no matches found: ./p^(125|150)*(/)   Any ideas how to proceed? Algorithm to detect overlapping periods I made a bootable Windows 7 USB using UNetbootin, and when I try to boot from the bootable USB and select the Default boot menu entry, it gets stuck at the UNetbootin boot menu and it keeps repeating an Automatic boot in 10 seconds... message in an endless countdown loop. Selecting Press [Tab] to edit options and editing the options has no effect. When I go back to the boot menu, it keeps repeating the same countdown loop.   I've tried redoing the UNetbootin extraction, but I still have the same issue. Filter dict to contain only certain keys? When two objects -one of them transparent- intersects it creates some artifacts visible even in the alpha channel. Even with 1024 transparent bounces the artifacts remain.    In the example file there are two cubes in the same position, one transparent and one emission.    What is causing this? Any way to get rid of this artifacts? How to load a .NET assembly for reflection operations and subsequently unload it?