We know that Hogwarts students learn how to do  in the 6th year. From which point they are expected to use magic nonverbally from there on out.  We also know that some wizards can do , such as Hermione with the Confundus Charm at the Quidditch trials.  Both of these variants come with warnings that:     Wandless magic [...] could be volatile and was often difficult to perform -    and     Performing spells non-verbally is very difficult and requires a good deal of practise -    So my question is, is there any instance of a wizard/witch casting spells/charms/hexes/jinxs both nonverbally and without a wand? And if not, is this explicitly stated to be impossible?  As a note, I mean intentional magic. The random loosing of snakes on 11th birthdays does not count.    This is not a duplicate of these other questions since none of those answer if a spell can be performed BOTH nonverbally AND without a wand at the same time.  For the second time, this is not a dup of  because that question deals with wandless and nonverbal separately.
In the beginning of the series, it's mentioned that Muggle-born wizards/witches are identified due to inadvertent spell-casting. However, it seems like later in the book, disarmed wizards/witches are completely helpless.   What is the explanation for why some spells can be cast without a wand and is there an in-universe explanation for why this isn't done? Also, are there spells that can be cast non-verbally (with/without a wand)?
USB WiFi dongle device that can emulate a virtual mass storage device for a home video player Is there a USB WiFi dongle device that can:   Emulate a virtual mass storage device for a home video player But in fact shows the files from a network-shared folder? (Built-in) way in JavaScript to check if a string is a valid number I'm hoping there's something in the same conceptual space as the old VB6 IsNumeric() function? What will be total number of solutions of $a+b+c = n$? Please tell me how to find the total number of intergral solutions of $$ a+b+c=n $$ I already know that total number of solutions will be $(n+3-1)c(3-1)$.  But what will be the case when a varies from let $2$ to $6$ , $b$ varies from $2$ to $6$, $c$ varies from $2$ to $6$.There can be other conditions also. Please give the generalized result. It will be really helpful. Atlas generation for different extents I posted an answer (pointing to another question already asked) but when I hit submit, I saw my answer appear as a comment to the question instead.   I tried it a couple of times and still the same result. The answer gets eaten up and is transformed into a comment.   Is this a bug? I have a vf page that is a custom button. That's it.  this VF page is on a STD Page Layout. When the user clicks on the VF page, the parent window needs to be redirected to the new URL.  The way this is working, is that the new page is opening in the vf section of the page layout.   &lt;apex:page standardController="Opportunity"  standardStylesheets="true" extensions="OpportunityController" &gt; &lt;base target="_parent" /&gt; &lt;body style="background:#f3f3ec" &gt; &lt;apex:form &gt; &lt;center&gt;  &lt;apex:commandButton action="{!redirect}"  value="Change Record Type" rendered="{!render}"/&gt; &lt;/center&gt;   &lt;/apex:form&gt;    &lt;/body&gt; &lt;/apex:page&gt; I am really confused.  Which preposition is correct?     She is in/at the park.   They are in/at the park.   I am in/at the park.   Should I use in or at in these sentences? Which Stack Exchange website for machine learning and computational algorithms? I'm currently working on many machine learning and computational algorithms, such as Singular Value Decomposition, Support Vector Machines, and others.  I'd like to ask questions about these topics, but I don't know which Stack Exchange website to use to post my questions.   Should I use ? Should I use ? Should I use ? Should I use ?   How do I tell?  What criteria do I use? Why don't wizards always use multiple wands? Occasionally, the Unicode character sequence U+200C U+200B (ZWNJ ZWSP) is inserted into comments In     ... the number "5000" does not paste as such but instead as  5 0 U+200C U+200B 0 0   The HTML source looks like this:  perhaps the easiest would be &lt;code&gt;\edef\tmp{\everypar{\widowpenalty\the\widowpenalty\relax}}\tmp\widowpenalty=-50&amp;zwnj;&amp;#8203;00&lt;/code&gt; that may reset   Or (smaller snippet):  \widowpenalty=-50&amp;zwnj;&amp;#8203;00&lt;/code&gt; that   So in the HTML, we have extraneous &amp;zwnj; and &amp;#8203; in between the two middle digits of 5000.  Upon pasting and trying out this code, this first led to a mysterious compiler error. The same issue happened within a (now deleted) comment thread below ; there, these or similar two characters were inserted after the letter "r" within the string \ref ("\ref").  Note that not all browsers wrap the same way. The above screenshot was for Firefox 19.0.2, in which it breaks between \relax}} and \tmp, with 5000 insidiously left intact on the second line but with the two special characters remaining in the middle. So that is why this took me completely by surprise. Other browsers might indeed only break on the invisible Unicode characters, such as Chrome 25:    Or on a smaller screen with the mobile site, multiple line breaks might show, possibly still leaving the Unicode characters unused: Is my paper under review (or similar) for too long and if yes, how should I react? Modifying .sty files? Yesterday I did some changes in the layout of my TeX document. I couldn't accomplish the changes until I opened the .sty files and modified some of their code. I am sure this is not the best idea. For one reason, after the packages got an update, I will have to modify the file again (and again and again).  Another way would be to create my own version of that .sty file and call that instead of the original one, but this might not be the best idea either. (again: at least the updates speak against it)  How can I accomplish the following changes by adding code to a local file (e.g. my .tex preamble) instead of changing global files (like the package .sty files)?  I wanted to change the following lines in ledmac.sty:  \def\printlines#1|#2|#3|#4|#5|#6|#7|{\begingroup   \setprintlines{#1}{#2}{#3}{#4}{#5}{#6}%   \ifl@d@pnum #1\fullstop\fi   \ifledplinenum \linenumrep{#2}\else \symplinenum\fi     %% #2 into: \arabtxt{\n{#2}}   \ifl@d@ssub \fullstop \sublinenumrep{#3}\fi   \ifl@d@dash \endashchar\fi   \ifl@d@pnum #4\fullstop\fi   \ifl@d@elin \linenumrep{#5}\fi   \ifl@d@esl \ifl@d@elin \fullstop\fi \sublinenumrep{#6}\fi \endgroup}   The second thing is a line in ledpar.sty:  \newcommand*{\l@dlinenumR}{%   \numlabfont\linenumrepR{\line@numR}\Rlineflag%       %% numlabfont into: numlabfontR   \ifsublines@     \ifnum\subline@num&gt;\z@       \unskip\fullstop\sublinenumrepR{\subline@numR}%     \fi   \fi}   (In the latter case, just adding \renewcommand with the modified code did not work.) Holomorphic self map on the open unit disc Does there exist a holomorphic function $f:\mathbb{D}\longrightarrow\mathbb{D}$ such that $f(1/2)=-1/2$ and $f'(1/4)=1$, where $\mathbb{D}=\{z:|z|&lt;1\}$? How to show that  $$ \lim _{\alpha \rightarrow \infty } \sup_{t \in \left [0,T \right]} \left | e^{-\alpha t} \int _ 0 ^t e^{\alpha s} ~ dB_s \right | =0, \ \ \text{a.e.} $$  where $\left (B_s \right)_{s\geq 0}$ is a real standard brownian motion starting from zero ? Do supply lines share stored items between settlements? I can setup a supply line to share crafting material between settlements. But does this also share any buildings/crafted entities I stored in the settlement?    If not, is there some other way to move them between settlements? Create Trigger that updates the same table before (or after ??) the Insert I have just started using triggers and one thing that I would need to do is to create a trigger that updates the same table that's inserting the row.  TABLE:  CREATE TABLE `city` (   `city_id` smallint(5) unsigned NOT NULL AUTO_INCREMENT,   `city` varchar(50) NOT NULL,   `country_id` smallint(5) unsigned DEFAULT '0',   `country` varchar(150) DEFAULT NULL,   `last_update` timestamp NOT NULL DEFAULT CURRENT_TIMESTAMP ON UPDATE CURRENT_TIMESTAMP,   PRIMARY KEY (`city_id`),   KEY `idx_fk_country_id` (`country_id`),   CONSTRAINT `city_ibfk_1` FOREIGN KEY (`country_id`) REFERENCES `country` (`country_id`) ON UPDATE CASCADE ) ENGINE=InnoDB AUTO_INCREMENT=6009 DEFAULT CHARSET=utf8;   Trigger:  DELIMITER $$ CREATE TRIGGER `populate_country_id` BEFORE INSERT ON `city` FOR EACH ROW BEGIN  IF NEW.country_id = 0  THEN     UPDATE city     INNER JOIN country B ON city.country = B.country     SET NEW.country_id = B.country_id;  END IF;  END $$ DELIMITER ;   MySQL is just returning: Can't update table 'city' in stored function/trigger because it is already used by statement which invoked this stored function/trigger.  Is there any way I can make this work?  Thanks everyone! In Minecraft, you can only build up to a certain height limit (which is something around 256). However, if a player uses mods/hacks to go above the limit (Or simply goes into Creative Mode), then they can go above the height limit.  How high is the player height limit in Minecraft? Is there even a limit to it? I've tried testing this myself, but my thumb started hurting when I reached Y= 1000. How can I determine whether my processor is 32-bit or 64-bit? How can I determine whether my processor is 32-bit or 64-bit? My processor is AMD Phenom 8450 triple-core. Running junit tests in parallel in a Maven build? How do I reenable Quack Overflow if I disabled it?