My 1 year 3 months daughter wakes up crying suddenly at night.  I try medicine for stomach pain, leg pain, check the AC (As it is hot summer) but this happens every day from last one month. Actually before 20-25 days she was suffering from acute diarrhea and doctor said it is due to virus. She had severe rashes also at that time. Now everything is cured. this is just for extra information if this has any relation with this sleep problem. Also after that she is still having problem related to motion. some of the days she gets constipation.
Don't know what could it be but my daughter keeps on crying every night. She's sleeping and suddenly she starts crying. Hungry ? (She drinks her last bottle of milk around 8pm.) Maybe teething? (every night, don't think so) Miss being in mommy's and daddy's bed? (she cries even if she's in our bed) I'm out of ideas, and we are kind of exhausted! Any ideas what might be the reason for her to cry every night?
Kernel of injective group homomorphism If $\phi$ is a homomorphism from the group $G$ with identity $e$ to the group $G'$ with identity $e'$, then $\phi$ is injective if and only if $\ker\phi=$?  I think the $Ker\phi = \{x\in G:\phi(x)=1\}$  because you are looking at an identity then it is all reals $0$ does not work a because if $x=0, e'x=0$  but then i realize it is injective how does that affect the kernel? Term to describe users' initial dislike of user interface change What is the best term to describe the fact that most users have an initial dislike of any change to a UI even though it may really be net better over time?  Note: Question originally appeared I want to add additional items to the data returned as . So for every function/query that returns a WP_Post object I want my additional data added.  Example of returned result:  WP_Post (object) =&gt; [     // Default data returned by WP_Post     ID                  =&gt; int,     post_author         =&gt; string,     post_name           =&gt; string,     post_type           =&gt; string,     post_title          =&gt; string,     post_date           =&gt; string,     post_date_gmt       =&gt; string,     post_content        =&gt; string,     post_excerpt        =&gt; string,     post_status         =&gt; string,     comment_status      =&gt; string,     ping_status         =&gt; string,     post_password       =&gt; string,     post_parent         =&gt; int,     post_modified       =&gt; string,     post_modified_gmt   =&gt; string,     comment_count       =&gt; string,     menu_order          =&gt; string,      // Additional data I want to add     extra_data_1        =&gt; array,     more_data_key       =&gt; string,     another_added       =&gt; string ]   For example when the functions  or  are run they will return the WP_Post object along with my additional data.  I've tried finding the appropriate  but this has been unsuccessful.  I am hoping I can do something like:  // This is concept code add_action('pre_wp_post_return', function($data) {     $data-&gt;extra_data_1     = get_post_meta($data-&gt;ID, 'extra_data');     $data-&gt;more_data_key    = get_post_meta($data-&gt;ID, 'more_data', true);     $data-&gt;another_added    = get_post_meta($data-&gt;ID, 'another_data', true);      return $data; });   My reasoning is I am having to build a custom API for WP that uses a range of different core functions which return WP_Post objects. Being able to add my additional data in one place would prevent me from duplicating code.  I hope this is clear enough. Any help would be great! I have recently purchased a hybrid bike with suspension (not sure if that is relevant to this question). It came with two pieces of plastic. Any ideas what they may be for? How to find out when an Oracle table was updated the last time Can I find out when the last INSERT, UPDATE or DELETE statement was performed on a table in an Oracle database and if so, how?  A little background: The Oracle version is 10g. I have a batch application that runs regularly, reads data from a single Oracle table and writes it into a file. I would like to skip this if the data hasn't changed since the last time the job ran.  The application is written in C++ and communicates with Oracle via OCI. It logs into Oracle with a "normal" user, so I can't use any special admin stuff.  Edit: Okay, "Special Admin Stuff" wasn't exactly a good description. What I mean is: I can't do anything besides SELECTing from tables and calling stored procedures. Changing anything about the database itself (like adding triggers), is sadly not an option if want to get it done before 2010. Obviously, most beers are carbonated with carbon dioxide, while some stouts/porters are "carbonated" with nitrogen.  I was curious if there has been any notable experimentation with other gasses to "carbonate" beer. If nitrogen can introduce a "creamy" texture to a beer, I would think that other gasses would also be able to introduce their own characteristics on beer. If any of these experiments have done, what characteristics do these other gases impart?  I'm sure cost would be an issue for certain gasses that would prohibit its use in beer, but for purposes of this question, cost is irrelevant.  As an aside, what is the correct term to use, as opposed to "carbonate", for a question of this nature? How to undelete notes on iPhone "Notes" app? iPhone has a default "Notes" app which allows us to store notes. Stored notes can be deleted by hitting the "Delete Note" button:    How do we recover a note that is accidentally deleted?  Is there anyway to undo the delete? Does the order in which I set properties using the object initializer syntax get executed in the exact same order?  For instance if I do this:  var s = new Person { FirstName = "Micah",                      LastName = "Martin",                      IsLoaded = true                    }   will each property get set in the same order? Detection of the Electric Charge of a Black Hole By the "No Hair Theorem", three quantities "define" a black hole; Mass, Angular Momentum, and Charge. The first is easy enough to determine, look at the radius of the event horizon and you can use the Schwarzschild formula to compute the mass. Angular Momentum can be found using the cool little ergosphere Penrose "discovered". However, I don't know how to determine the charge of the black hole.   How can an electromagnetic field escape the event horizon of a Reissner-Nordström black hole? Is there any experiment we could theoretically do to a black hole to determine its charge? Comparison theorem for ODE Here is something I'm trying to prove:     Conjecture: Suppose $f'(x) \leq \phi(f(x), x)$ and $f(a)=\alpha$. Suppose $g'(x)=\phi(g(x),x)$ and $g(a)\geq \alpha$. Then $f(x)\leq  g(x)\,\,\forall x$.   It definitely seems like it should be true, and I don't think we even need continuity of $\phi$.  (Edit: a user has correctly pointed out that we should require $\phi$ be locally Lipshitz in the first variable, uniformly with respect to the second variable. Let's add that assumption.)   I can prove it in the case that the inequality is strict. I'll place my proof below the fold. How can I extend it to weak inequality?  If it's wrong, I'd love to see a counterexample. A reference is fine; I have the book by Teschl, for example.  A similar question with stronger assumptions was asked .     Proposition: Suppose Suppose $f'(x) &lt; \phi(f(x), x)$ and $f(a)=\alpha$. Suppose $g'(x)=\phi(g(x),x)$ and $g(a)\geq \alpha$. Then $f(x)\leq  g(x)\,\,\forall x$.  Proof: Suppose not. Suppose WLOG there is a $b&gt;a$ such that $f(b)&gt;g(b)$. Let $c:=\inf \{x&gt;a:f(x)&gt;g(x)\}$. By definition of the derivative we have $f'(c)\geq g'(c)$, a contradiction, since $f'(c)&lt;\phi(f(c),c)=\phi(g(c),c))=g'(c)$. I am trying to find examples of maps between topological space which are local homeomorphism but not covering maps. Especially, how twisted has to be such a counterexample : can it be a local diffeomorphism between connected manifolds which is not a covering map ?   I found here() a nice proposition which state that a local homeo from a compact space to a connected Hausdorff space is a covering map.   I am interested in all type of counterexamples, from non-Hausdorff spaces to surfaces, to get a better picture of the differences between covering maps and local homeomorphisms.  Thank you ! Is there a way to make Runnable's run() throw an exception? Gilbert, MacWilliams, and Sloane defined a solution to "perfect integrity" in , unconditionally secure message authentication, not vulnerable to any cryptanalysis on its own even by an adversary with unbounded computational power, provided you have a key chosen uniformly at random the same length as the message. It sounds counter-intuitive that a MAC could have perfect integrity, any hash function can be broken with enough computational power. How does their solution have "perfect integrity"? What is the amplitude of a light wave? Referring to this question   I'm curious about what is a amplitude of a light wave. Especially for light from a thermic source. Getting computer's UTC offset in Python Is list::size() really O(n)? Recently, I noticed some people mentioning that std::list::size() has a linear complexity. According to  , this is in fact implementation dependent as the standard doesn't say what the complexity has to be. The comment  says:     Actually, it depends on which STL you   are using. Microsoft Visual Studio V6   implements size() as {return (_Size);   } whereas gcc (at least in versions   3.3.2 and 4.1.0) do it as { return std::distance(begin(), end()); } The   first has constant speed, the second   has o(N) speed    So my guess is that for the VC++ crowd size() has constant complexity as Dinkumware probably won't have changed that fact since VC6. Am I right there? What does it look like currently in gcc? If it is really O(n), why did the developers choose to do so? FAQ for Stack Exchange sites Community FAQ For sites in the Stack Exchange 2.0 network To see a list of commonly used words and phrases, see the . For official guidance from Stack Exchange, visit the . Asking questions                            Answering questions                 Accepting answers        Working with posts  What does it mean when a question or answer is...  ?  ?  ?  ?                                       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Link back to this index. Paste this at the end of the question:  [Return to FAQ index](/q/7931)   Tag as  and .  When a post seems to have hit a mature state, it will have  added by a moderator.  Flag for a moderator to mark community wiki.  Any FAQ post not yet community wiki should be made into a community wiki.  After the post has the  tag added to it, add a link in the above . Pretty self descriptive, without being able to view the source of the noise how can we tell the difference between a sound in front of us and a sound behind us if pitch, volume and distance are all the same.   Also assume that it is not biased to one side more than the other, e.g its not to your left or right but directly in front or behind.   I'm interested in knowing if it is a part of the ear that makes this distinction, or a function of the brain. I'm trying to prove by induction that for all $a,b \in \mathbb{Z}$ and $n \in \mathbb{N}$, that $(a-b) \mid (a^n-b^n)$. The base case was trivial, so I started by assuming that $(a-b) \mid (a^n-b^n)$. But I found that: \begin{align*} (a-b)(a^{n-1}+a^{n-2}b + a^{n-3}b^2+...+b^{n-1}) &amp;= a^n-b^n. \end{align*}  Doesn't this imply that $(a-b) \mid (a^n-b^n)$ as $a^{n-1}+a^{n-2}b+\dots+b^{n-1}$ is clearly an integer? This obviously isn't a proof by induction, but is there anything wrong with taking this approach to prove this result, other than the fact that it isn't what is being asked?   Aside, I'm having trouble getting started with the proof by induction. I've tried making the above equivalence useful during the induction step, but it doesn't seem to be helpful, so any hints would be greatly appreciated! The adverb "quite" has the following meanings :     1: wholly, completely ("not quite   finished")      2: to an extreme : positively "quite   sure" —often used as an intensifier   with a "quite a swell guy" "quite a   beauty"      3: to a considerable extent : rather   ("quite near")   My understanding is that #1 and #2 conflict with #3. For example, when you say "She's quite right", do you mean "She's completely right" or "To a considerable extent, she's right"? Notice that in the latter case you're not saying that she is completely right.  Another example is "I'm quite sure". Does it necessarily mean "I'm completely sure"?   Does the word really have conflicting meanings that can possibly cause ambiguity? Or am I missing something?