JPA: Override Auto generated ID
Bypass GeneratedValue in Hibernate (merge data not in db?)
Weil divisors on normal Noetherian schemes I'm looking at Section 7 of Liu's Algebraic Geometry and Arithmetic Curves.  In Section 7, Definition 2.4. defines a Weil divisor as a cycle of codimension 1 on a Noetherian integral scheme. But then Liu discusses Weil divisors on normal Noetherian schemes in Definition 2.7., 2.10., Proposition 2.11, etc., as well as the notion of function field $K(X)$ of a normal Noetherian scheme $X$.  I feel lost as the function field is defined over an integral scheme, and up to my understanding, the closest one to the function field of a normal Noetherian scheme is perhaps the direct sum of the function fields of the finite integral components.  What I'm more interested is whether Weil divisors are well-defined on normal Noetherian schemes and how close it is to be equivalent to invertible sheaves. Could someone provide an explanation on this?  Thank you. I downloaded and installed version 0.29.2 of pokemon go on my Android phone, running lollipop. The app works fine most of the time, however, when I open the app without a WiFi connection (with mobile data on and working), it gets stuck on around 20% on the loading screen and doesn't budge.   The app works when I open it with a Wi-Fi connection and then leave Wi-Fi range or turn off Wi-Fi after it has passed the loading screen. However, the app will not pass the loading screen without WiFi. (Edit: Hotspots don't work either)  I've tried all the usual solutions - restarting, clearing cache, reinstalling, turning off and on mobile data. None of them work.  Any idea how I can start the app when I'm not in WiFi range? Can I boot memtest86+ if I'm using UEFI? There are a plethora of words for user accounts, like logon, login, signon, and also the action of logging in (or logging on) or signing in.  Are there any usage guidelines here? Is abstract algebra (mostly?) restricted to $2$-ary operators? Validation Error less than training error? I found two questions  and  about this issue but there is no obvious answer or explanation yet.I enforce the same problem where the validation error is less than training error in my Convolution Neural Network. What does that mean? One of us is wrong, aren't we? I have just learned from what I consider a reliable source, that the following sentence is correct:     One of us is wrong, aren't we?   I would never in my life have written this, but I am assured that   As I realize comments don't live forever I will quote the relevant parts:     oerkelens : So you  would really write One of us is wrong, aren't we? I guess by analogy you would not bat an eyelid at One of these balls is blue, aren't they?   Matt Эллен : yes, "Then one of us is wrong, aren't we?" is exactly how it would be written. Same for the balls.   Could someone please enlighten me how it is possible that the number in a question tag supposedly has to be in discordance with the subject of the main clause?  I admit that I am not the youngest any more, and my school days are long gone, but back in the days, I was taught that  1. a verb and its subject concord in number 2. a question tag concords with the subject of the main clause  I was given examples like:     It is warm today, isn't it?   We will be on time, won't we?   Mary is pretty, isn't she?   John isn't the brightest, is he?   Some people may notice that the subject of the main clause seems to determine every time the subject of the question tag. When the main clause subject is singular, so are verb and subject in the question tag.  I was under the impression that a) this made sense and b) this would be a general rule.  I fully realize that grammar does not have to make sense, so a) is immaterial. As for b), today I learned I was wrong :)  So when (and possibly why?) do we form question tags that are different in number from their main clause?   To exemplify, also the other example sentence that I used and was corrected on:     One of these balls is blue, isn't it? (so this is wrong)   One of these balls is blue, aren't they? (and this is correct)   As an afterthought, does this strange grammatical number mix-up only appear in question-tags, or should I always refer to singular subjects in the plural if certain conditions are met? And what are those conditions?  Which versions are correct?     One of the cars is broken, aren't they? They (the car(s?) that is(are?) broken) should be fixed.   One of the cars is broken, aren't they? It (the car that is broken) should be fixed.   One of us must be wrong, mustn't we? We (the one(s?) that is (are?) wrong) should make amends.   One of us must be wrong, mustn't we? He (the one that is wrong) should make amends.   (In the last one, they could of course be used as the singular they, but that would avoid the issue...) Looking at the questions and answer to these two questions.  &amp;  and neither mentions the longevity of magic. I recall several instances of magic failing to last; the money that was spread at the  and the broken  on.  If I recall correctly when Voldemort died, the curses on several people were lifted.  I don't recall if any other spells fell apart with his death.  Is there any canon evidence on the the length of time a spell will live? When validating a field manually from my form a error is displayed but the field doesn't get red. For the first parameter i used the name of the input element. DRUPAL 7  if($form_state['values']['panes']['webform_nid31'][0]['contact_person'] == '') {     form_set_error('panes[webform_nid31][0][contact_person]', t('You must select a name for this group of settings.'));   } Azure DNS does not lookup SPF policies for certain domains Showing that $\displaystyle\lim_{s \to{1+}}{(s-1)\zeta(s)}=1$ I need prove the following: ($\zeta(s)$ is the Riemann zeta function)  $\displaystyle\lim_{s \to{1+}}{(s-1)\zeta(s)}=1$  I really don't know, I have tried hard, but have obtained nothing for now. I am about to sell my old desktop PC and I am cautious about some of my sensitive information being available to the purchaser, even after reformatting the hard-drive, using data recovery software.  How can I securely wipe the hard drive so that the data on it cannot be recovered?  Although I specifically want help with my Windows PC, it wouldn't hurt if there were suggestions for Macs as well. Getting a collection of index values using a LINQ query Is there a better way to do this?  string[] s = {"zero", "one", "two", "three", "four", "five"};  var x =  s .Select((a,i) =&gt; new {Value = a, Index = i}) .Where(b =&gt; b.Value.StartsWith("t")) .Select(c =&gt; c.Index);   i.e. I'm looking for a more efficient or more elegant way to get the positions of the items matching the criteria. Do free falling observers see gravitational blueshift? Observers at rest in gravitational fields will see infalling light signals as blueshifted.  Do inertial observers in free fall in a gravitational field see the same shift?  If someone is standing on a cliff at rest in the gravitational field and then steps off, do they instantly see a change in the blueshift as a result of being in free fall in an inertial reference frame? Why is "bicycle" pronounced differently from other obviously related words? Ubuntu not detecting second monitor I'm running Ubuntu 12.04 on a Lenovo x61s Thinkpad. As the screen's rather small and I want to do some video editing, I thought I'd plug in a monitor and use that. The monitor is Relisys JM777 (quite old).  When I plug it into my other computer, which is running Windows 7, it immediately mirrors the display; but when plugged into the Lenovo the monitor screen remains blank. The graphics card on the Lenovo is a "VGA compatible controller" according to SysInfo.   Anybody got any suggestions for getting this monitor to work? I'm quite new to Linux. To show that $\sum a_nb_n$ is absolutely convergent Assume that $\sum a_n$ is convergent and $\sum b_n$ is absolutely convergent.To show that $\sum a_nb_n$ is  absolutely convergent  My try::Consider the sequence of partial sums of $\sum |a_nb_n|$  $S_n=|a_1b_1|+|a_2b_2|+......+|a_nb_n|$  Now $(a_1b_1+a_2b_2+......+a_nb_n)\leq ( (a_1^2+a_2^2+..+a_n^2))^\frac{1}{2}((b_1^2+b_2^2+..+b_n^2)^\frac{1}{2})$  How to proceed from here? Why does the logo not show up when signing up for a site and confirming the account? Does the intersection of two finite index subgroups have finite index? Here is my problematic code:  \begin{tikzpicture} \draw  (0,0)  to [bend left=20] (3,3) node[midway] {midway label}; \end{tikzpicture}   I wanted to put a label midway of the line, but instead the label is at (0,0).  If I remove [bend left=20], the line is not bent, and the label still misplaced. If I remove to and replace it by --, then it works fine, but my line is not bent any more.  \begin{tikzpicture} \draw (0,0) -- (3,3) node[midway] {midway label}; \end{tikzpicture}   Works fine.  The problem occurs with MacTeX 2011 and MacTeX 2012.